{"id":1045,"date":"2023-07-26T12:11:05","date_gmt":"2023-07-26T12:11:05","guid":{"rendered":"https:\/\/website.prod.unilu.spikeseed.cloud\/fstm-en\/study-programs\/bachelor-saar-lor-lux-in-physics\/programme\/"},"modified":"2025-06-12T12:07:46","modified_gmt":"2025-06-12T10:07:46","slug":"programme","status":"publish","type":"study-programs","link":"https:\/\/www.uni.lu\/fstm-en\/study-programs\/german-french-luxembourgish-bachelor-in-physics\/programme\/","title":{"rendered":"Programme"},"content":{"rendered":"<div class=\"section py-0 static\">\n<section class=\"py-0 wp-block-unilux-blocks-free-section section\"><div class=\"container xl:max-w-screen-xl\"><!-- SecondaryNavigationMirror --><div class=\"js-secondary-nav--sticky wp-block-unilux-blocks-secondary-navigation\" id=\"76a401df-be47-494f-b0bc-e3db808fa348\">\n    <nav id=\"secondary-navigation\" role=\"navigation\" aria-label=\"Secondary menu\" class=\"secondary-nav\">\n        <button class=\"secondary-nav__button btn btn-solid--primary w-full\" aria-expanded=\"false\" aria-controls=\"secondary-navigation__list\" title=\"The selected page is Programme\" type=\"button\">\n            <span class=\"btn__name mr-auto\">Programme<\/span>\n            <svg aria-hidden=\"true\" focusable=\"false\" class=\"icon icon-outline icon--xs\">\n                <use xlink:href=\"https:\/\/www.uni.lu\/wp-content\/themes\/unilux-theme\/assets\/images\/icons\/icons-outline.svg#icon--arrow-down\" \/>\n            <\/svg>\n        <\/button>\n\n        <ul id=\"secondary-navigation__list\" class=\"secondary-nav__list\">\n            <li class=\"secondary-nav__item\">\n    <a href=\"https:\/\/www.uni.lu\/fstm-en\/study-programs\/german-french-luxembourgish-bachelor-in-physics\/\" target=\"\" rel=\"noreferrer noopener\" class=\"secondary-nav__link \">\n        <svg aria-hidden=\"true\" focusable=\"false\" class=\"icon icon-outline icon--xs\">\n            <use xlink:href=\"https:\/\/www.uni.lu\/wp-content\/themes\/unilux-theme\/assets\/images\/icons\/icons-outline.svg#icon--arrow-right\" \/>\n        <\/svg>\n        <span class=\"secondary-nav__name\">Overview<\/span>\n    <\/a>\n<\/li>\n<li class=\"secondary-nav__item\">\n    <a href=\"https:\/\/www.uni.lu\/fstm-en\/study-programs\/german-french-luxembourgish-bachelor-in-physics\/programme\/\" target=\"\" rel=\"noreferrer noopener\" class=\"secondary-nav__link isactived\" aria-current=\"page\">\n        <svg aria-hidden=\"true\" focusable=\"false\" class=\"icon icon-outline icon--xs\">\n            <use xlink:href=\"https:\/\/www.uni.lu\/wp-content\/themes\/unilux-theme\/assets\/images\/icons\/icons-outline.svg#icon--arrow-right\" \/>\n        <\/svg>\n        <span class=\"secondary-nav__name\">Programme<\/span>\n    <\/a>\n<\/li>\n<li class=\"secondary-nav__item\">\n    <a href=\"https:\/\/www.uni.lu\/fstm-en\/study-programs\/german-french-luxembourgish-bachelor-in-physics\/career\/\" target=\"\" rel=\"noreferrer noopener\" class=\"secondary-nav__link \">\n        <svg aria-hidden=\"true\" focusable=\"false\" class=\"icon icon-outline icon--xs\">\n            <use xlink:href=\"https:\/\/www.uni.lu\/wp-content\/themes\/unilux-theme\/assets\/images\/icons\/icons-outline.svg#icon--arrow-right\" \/>\n        <\/svg>\n        <span class=\"secondary-nav__name\">Career<\/span>\n    <\/a>\n<\/li>\n<li class=\"secondary-nav__item\">\n    <a href=\"https:\/\/www.uni.lu\/fstm-en\/study-programs\/german-french-luxembourgish-bachelor-in-physics\/testimonials\/\" target=\"\" rel=\"noreferrer noopener\" class=\"secondary-nav__link \">\n        <svg aria-hidden=\"true\" focusable=\"false\" class=\"icon icon-outline icon--xs\">\n            <use xlink:href=\"https:\/\/www.uni.lu\/wp-content\/themes\/unilux-theme\/assets\/images\/icons\/icons-outline.svg#icon--arrow-right\" \/>\n        <\/svg>\n        <span class=\"secondary-nav__name\">Testimonials<\/span>\n    <\/a>\n<\/li>\n<li class=\"secondary-nav__item\">\n    <a href=\"https:\/\/www.uni.lu\/fstm-en\/study-programs\/german-french-luxembourgish-bachelor-in-physics\/teaching-staff\/\" target=\"\" rel=\"noreferrer noopener\" class=\"secondary-nav__link \">\n        <svg aria-hidden=\"true\" focusable=\"false\" class=\"icon icon-outline icon--xs\">\n            <use xlink:href=\"https:\/\/www.uni.lu\/wp-content\/themes\/unilux-theme\/assets\/images\/icons\/icons-outline.svg#icon--arrow-right\" \/>\n        <\/svg>\n        <span class=\"secondary-nav__name\">Teaching staff<\/span>\n    <\/a>\n<\/li>\n<li class=\"secondary-nav__item\">\n    <a href=\"https:\/\/www.uni.lu\/fstm-en\/study-programs\/german-french-luxembourgish-bachelor-in-physics\/admissions\/\" target=\"\" rel=\"noreferrer noopener\" class=\"secondary-nav__link \">\n        <svg aria-hidden=\"true\" focusable=\"false\" class=\"icon icon-outline icon--xs\">\n            <use xlink:href=\"https:\/\/www.uni.lu\/wp-content\/themes\/unilux-theme\/assets\/images\/icons\/icons-outline.svg#icon--arrow-right\" \/>\n        <\/svg>\n        <span class=\"secondary-nav__name\">Admissions<\/span>\n    <\/a>\n<\/li>\n        <\/ul>\n    <\/nav>\n<\/div>\n<!-- end SecondaryNavigationMirror --><\/div><\/section>\n\n\n<section class=\"section section wp-block-unilux-blocks-headline-text-and-image\">\n    \n<div class=\"wp-block-unilux-blocks-wrapper container xl:max-w-screen-xl\">\n<h2 class=\"has-text-align-left wp-block-unilux-blocks-heading\"        id=\"programme\"\n    >\nProgramme<\/h2>\n\n\n\n<div class=\"wp-block-unilux-blocks-wrapper flex flex-wrap lg:-mx-32\">\n<div class=\"wp-block-unilux-blocks-wrapper w-full lg:w-7\/12 lg:order-2 lg:px-32\">\n<div class=\"wp-block-unilux-blocks-image-video-wrapper\">\n    <figure class=\"wp-block-dev4-reusable-blocks-image  object-fit--cover\">\n    \n<img decoding=\"async\" class=\"wp-block-image unilux-custom-image-block\"\n                alt=\"\"\n            src=\"https:\/\/www.uni.lu\/wp-content\/uploads\/sites\/4\/2023\/07\/IMG_9923-scaled.jpg\"\n                srcset=\"https:\/\/www.uni.lu\/wp-content\/uploads\/sites\/4\/2023\/07\/IMG_9923-300x200.jpg 300w, https:\/\/www.uni.lu\/wp-content\/uploads\/sites\/4\/2023\/07\/IMG_9923-1024x683.jpg 1024w, https:\/\/www.uni.lu\/wp-content\/uploads\/sites\/4\/2023\/07\/IMG_9923-768x512.jpg 768w, https:\/\/www.uni.lu\/wp-content\/uploads\/sites\/4\/2023\/07\/IMG_9923-1536x1024.jpg 1536w, https:\/\/www.uni.lu\/wp-content\/uploads\/sites\/4\/2023\/07\/IMG_9923-2048x1365.jpg 2048w\"\n                style=\"object-position: 57.00% 100.00%; font-family: &quot;object-fit: cover; object-position: 57.00% 100.00%;&quot;; aspect-ratio: 3\/2; object-fit: cover; width: 100%;\"\n        loading=\"lazy\"\n\/>    <\/figure><\/div><\/div>\n\n\n\n<div class=\"wp-block-unilux-blocks-wrapper w-full lg:w-5\/12 lg:order-1 lg:px-32\">\n<p>During the Saar-Lor-Lux Bachelor in Physics, students spend three years studying at the universities of Lorraine, Luxembourg, and Saarland. <br><br>Teaching combines lectures and hands-on practicals. <br>The curriculum includes Experimental and Theoretical Physics, Condensed Matter Physics, Quantum Mechanics, Bio- and Nano-physics. There is also ample opportunity for elective courses.<\/p>\n\n\n\n<ul class=\"wp-block-unilux-blocks-custom-buttons btn-list\"><li class=\"wp-block-unilux-blocks-custom-button\"    aria-disabled=\"false\"\n    >\n    <a\n        role=\"link\"\n        aria-disabled=\"false\"\n                    href=\"https:\/\/www.uni.lu\/fstm-en\/study-programs\/german-french-luxembourgish-bachelor-in-physics\/admissions\/\"\n                target=\"_self\"\n        class=\"btn btn--primary\"\n            >Admissions<\/a>\n<\/li>\n<\/ul>\n<\/div>\n<\/div>\n<\/div>\n<\/section>\n\n\n<section class=\"wp-block-unilux-blocks-free-section section\"><div class=\"container xl:max-w-screen-xl\">\n<h2 class=\"has-text-align-left wp-block-unilux-blocks-heading\"        id=\"academic-contents\"\n    >\nAcademic Contents<\/h2>\n\n\n\n<div id=\"tab-nav\" class=\"tab-nav\">\n    <button\n        type=\"button\"\n        class=\"button-toggle btn btn--white w-full\"\n        aria-expanded=\"false\"\n        aria-controls=\"tab-nav__listing\"\n        title=\"The selected tab is CONTENT OF THE CURRENT LABEL\"\n    >\n        <span class=\"btn__name mr-auto\">Semester 3<\/span>\n        <svg aria-hidden=\"true\" focusable=\"false\" class=\"icon icon-outline icon--xs\">\n            <use xlink:href=\"https:\/\/www.uni.lu\/wp-content\/themes\/unilux-theme\/assets\/images\/icons\/icons-outline.svg#icon--arrow-down\" \/>\n        <\/svg>\n    <\/button>\n    <ul\n        id=\"tab-nav__listing\"\n        class=\"tab-nav__listing nav manual\"\n        role=\"tablist\"\n        aria-label=\"About me\"\n    >\n                <li role=\"presentation\" class=\"tab-nav__item\" key={button.id}>\n            <button\n                type=\"button\"\n                id=\"tab-9b55bce6-68e9-4f6d-980a-734dd2582503\"\n                data-bs-toggle=\"tab\"\n                data-bs-target=\"#tabpanel-9b55bce6-68e9-4f6d-980a-734dd2582503\"\n                role=\"tab\"\n                aria-controls=\"tabpanel-9b55bce6-68e9-4f6d-980a-734dd2582503\"\n                aria-selected=\"false\"\n                aria-current=\"false\"\n                class=\"tab-nav__button\"\n                tabIndex=\"-1\"\n            >\n                <svg aria-hidden=\"true\" focusable=\"false\" class=\"icon icon-outline icon--xs\">\n                    <use xlink:href=\"https:\/\/www.uni.lu\/wp-content\/themes\/unilux-theme\/assets\/images\/icons\/icons-outline.svg#icon--arrow-right\" \/>\n                <\/svg>\n                <span class=\"tab-nav__name\">Semester 3<\/span>\n            <\/button>\n        <\/li>\n                <li role=\"presentation\" class=\"tab-nav__item\" key={button.id}>\n            <button\n                type=\"button\"\n                id=\"tab-9d5953f9-8026-4545-a880-a8f879e9fcf8\"\n                data-bs-toggle=\"tab\"\n                data-bs-target=\"#tabpanel-9d5953f9-8026-4545-a880-a8f879e9fcf8\"\n                role=\"tab\"\n                aria-controls=\"tabpanel-9d5953f9-8026-4545-a880-a8f879e9fcf8\"\n                aria-selected=\"false\"\n                aria-current=\"false\"\n                class=\"tab-nav__button\"\n                tabIndex=\"-1\"\n            >\n                <svg aria-hidden=\"true\" focusable=\"false\" class=\"icon icon-outline icon--xs\">\n                    <use xlink:href=\"https:\/\/www.uni.lu\/wp-content\/themes\/unilux-theme\/assets\/images\/icons\/icons-outline.svg#icon--arrow-right\" \/>\n                <\/svg>\n                <span class=\"tab-nav__name\">Semester 4<\/span>\n            <\/button>\n        <\/li>\n            <\/ul>\n<\/div>\n<div class=\"tab-content\">\n    <section\n    id=\"tabpanel-9b55bce6-68e9-4f6d-980a-734dd2582503\"\n    aria-labelledby=\"tab-9b55bce6-68e9-4f6d-980a-734dd2582503\"\n    class=\"tab-panel fade hidden is-hidden\"\n>\n    <div class=\"wp-block-unilux-blocks-course-offer\">\n    <h3>Course offer for Bachelor in Physics Fili\u00e8re Saar-Lor-Lux (2025-2026 Winter)<\/h3>\n    \n<div id=\"accordion-module-69d46f052d91b\" class=\"accordion accordion--theme\">\n            \n<div class=\"accordion__item\">\n    <h4 class=\"accordion__header\">\n        <button\n                type=\"button\"\n                class=\"accordion__button collapsed\"\n                aria-expanded=\"false\"\n                data-bs-toggle=\"collapse\"\n                data-bs-target=\"#accordion-panel-69d46f052d941\"\n        >\n            <span class=\"accordion__title\">\n                BPHY Lab classes 2                <span class=\"accordion__data\">\n                    <span class=\"accordion__data__item\">\n                        <span class=\"accordion__data__name\">ECTS credits:<\/span>\n                        <span class=\"accordion__data__value\">\n                            4                        <\/span>\n                    <\/span>\n                    <span class=\"accordion__data__item\">\n                        <span class=\"accordion__data__name\">Course code:<\/span>\n                        <span class=\"accordion__data__value\">\n                            BA_PHYS_GEN-14                        <\/span>\n                    <\/span>\n                <\/span>\n            <\/span>\n            <svg aria-hidden=\"true\" focusable=\"false\" class=\"icon icon-outline icon--arrow-down icon--lg\"><use xlink:href=\"https:\/\/www.uni.lu\/wp-content\/themes\/unilux-theme\/assets\/images\/icons\/icons-outline.svg#icon--arrow-down\"><\/use><\/svg>        <\/button>\n    <\/h4>\n\n    <div id=\"accordion-panel-69d46f052d941\" class=\"accordion__collapse collapse\" data-bs-parent=\"#accordion-module-69d46f052d91b\">\n        <div class=\"accordion__body p-0\">\n            <ul class=\"list-highlighted\">\n                <li class=\"list-highlighted__item items-start\">\n                    <header class=\"list-highlighted__header\">\n                        <h5 class=\"text-18\"><strong>Details<\/strong><\/h5>\n                    <\/header>\n                    <div class=\"list-highlighted__body\">\n                        <ul>\n                            <li><span class=\"text-dark font-heading font-bold\">Course title:<\/span> BPHY Lab classes 2<\/li>\n                            <li><span class=\"text-dark font-heading font-bold\">Number of ECTS:<\/span> 4<\/li>\n                            <li><span class=\"text-dark font-heading font-bold\">Course code:<\/span> BA_PHYS_GEN-14<\/li>\n                            <li><span class=\"text-dark font-heading font-bold\">Module(s):<\/span> Module 3.3<\/li>\n                            <li><span class=\"text-dark font-heading font-bold\">Language:<\/span> EN<\/li>\n                            <li><span class=\"text-dark font-heading font-bold\">Mandatory:<\/span> Yes<\/li>\n                        <\/ul>\n                    <\/div>\n                <\/li>\n\n                <!--<li class=\"list-highlighted__item items-start\">-->\n                <!--    <header class=\"list-highlighted__header\">-->\n                <!--        <h5 class=\"text-18\"><strong>--><!--<\/strong><\/h5>-->\n                <!--    <\/header>-->\n                <!--    <div class=\"list-highlighted__body\">-->\n                <!--        <div class=\"speaker-group\">-->\n                <!--            -->                <!--        <\/div>-->\n                <!--    <\/div>-->\n                <!--<\/li>-->\n\n                                <li class=\"list-highlighted__item items-start\">\n                    <header class=\"list-highlighted__header\">\n                        <h5 class=\"text-18\"><strong>Objectives<\/strong><\/h5>\n                    <\/header>\n                    <div class=\"list-highlighted__body\">\n                        <p>\n                            The students get to know physical laws and relations by conducting experiments.<br>                        <\/p>\n                    <\/div>\n                <\/li>\n                \n                                <li class=\"list-highlighted__item items-start\">\n                    <header class=\"list-highlighted__header\">\n                        <h5 class=\"text-18\"><strong>Course learning outcomes<\/strong><\/h5>\n                    <\/header>\n                    <div class=\"list-highlighted__body\">\n                        Consolidation of the knowledge gained in the theoretical undergraduate courses.<br>Getting skills in experimental physics.<br>Learning how to deal with experimental errors.<br>Learning how to write scientific reports.<br>Evaluate experimental data with the computer.<br>                    <\/div>\n                <\/li>\n                \n                                <li class=\"list-highlighted__item items-start\">\n                    <header class=\"list-highlighted__header\">\n                        <h5 class=\"text-18\"><strong>Description<\/strong><\/h5>\n                    <\/header>\n                    <div class=\"list-highlighted__body\">\n                        The students work in groups of two or maximum three persons during the experimental sessions. They conduct at least eight physical experiments from the following list:<br> Gyroscope<br> Speed of light<br> Mechanical Oscillator<br> Adiabatic coefficient<br> Van der Waals experiment<br> Surface tension<br> Hydrogen Atom<br> Interferometry<br> Millikan experiment<br> Dielectric properties<br>For each experiment, each group must write a report which is graded.<br>Twice the semester, the students must pass an oral exam.<br>                    <\/div>\n                <\/li>\n                \n                \n                                <li class=\"list-highlighted__item items-start\">\n                    <header class=\"list-highlighted__header\">\n                        <h5 class=\"text-18\"><strong>Assessment<\/strong><\/h5>\n                    <\/header>\n                    <div class=\"list-highlighted__body\">\n                        <p><br>Continuous evaluation:<br><br>The final mark consists of\u00a0<br>Evaluation of the conduction of the practical works during the sessions and evaluation of the reports for each experiment (33.3%)<br>Each of the 8 reports must be graded with at least 10\/20 in order to pass the course. The students have the possibility to resubmit improved versions of reports if grading is too low.\u00a0<br>Evaluation of two oral exams during the semester (66.7%)<br>Retake exam is not possible (continuous evaluation).<\/p><br><p>If the student fail the course, he will have to register to the course the following year.<\/p>                    <\/div>\n                <\/li>\n                \n                                <li class=\"list-highlighted__item items-start\">\n                    <header class=\"list-highlighted__header\">\n                        <h5 class=\"text-18\"><strong>Note<\/strong><\/h5>\n                    <\/header>\n                    <div class=\"list-highlighted__body\">\n                        <p>\u00a0<\/p><br><p><br>Support \/ Arbeitsunterlagen \/ Support:<br><br>Description of the experiments and additional information\/literature made available on the courses\u2019 Moodle page.<\/p><br><p><br>Litt\u00e9rature \/ Literatur \/ Literature:<br><br>Description of the experiments and additional information\/literature made available on the courses Moodle page.<br><\/p><br><p>\u00a0<\/p>                    <\/div>\n                <\/li>\n                \n            <\/ul>\n        <\/div>\n    <\/div>\n<\/div>            \n<div class=\"accordion__item\">\n    <h4 class=\"accordion__header\">\n        <button\n                type=\"button\"\n                class=\"accordion__button collapsed\"\n                aria-expanded=\"false\"\n                data-bs-toggle=\"collapse\"\n                data-bs-target=\"#accordion-panel-69d46f052d956\"\n        >\n            <span class=\"accordion__title\">\n                Mathematical Methods 3                <span class=\"accordion__data\">\n                    <span class=\"accordion__data__item\">\n                        <span class=\"accordion__data__name\">ECTS credits:<\/span>\n                        <span class=\"accordion__data__value\">\n                            4                        <\/span>\n                    <\/span>\n                    <span class=\"accordion__data__item\">\n                        <span class=\"accordion__data__name\">Course code:<\/span>\n                        <span class=\"accordion__data__value\">\n                            BA_PHYS_GEN-15                        <\/span>\n                    <\/span>\n                <\/span>\n            <\/span>\n            <svg aria-hidden=\"true\" focusable=\"false\" class=\"icon icon-outline icon--arrow-down icon--lg\"><use xlink:href=\"https:\/\/www.uni.lu\/wp-content\/themes\/unilux-theme\/assets\/images\/icons\/icons-outline.svg#icon--arrow-down\"><\/use><\/svg>        <\/button>\n    <\/h4>\n\n    <div id=\"accordion-panel-69d46f052d956\" class=\"accordion__collapse collapse\" data-bs-parent=\"#accordion-module-69d46f052d91b\">\n        <div class=\"accordion__body p-0\">\n            <ul class=\"list-highlighted\">\n                <li class=\"list-highlighted__item items-start\">\n                    <header class=\"list-highlighted__header\">\n                        <h5 class=\"text-18\"><strong>Details<\/strong><\/h5>\n                    <\/header>\n                    <div class=\"list-highlighted__body\">\n                        <ul>\n                            <li><span class=\"text-dark font-heading font-bold\">Course title:<\/span> Mathematical Methods 3<\/li>\n                            <li><span class=\"text-dark font-heading font-bold\">Number of ECTS:<\/span> 4<\/li>\n                            <li><span class=\"text-dark font-heading font-bold\">Course code:<\/span> BA_PHYS_GEN-15<\/li>\n                            <li><span class=\"text-dark font-heading font-bold\">Module(s):<\/span> Module 3.3<\/li>\n                            <li><span class=\"text-dark font-heading font-bold\">Language:<\/span> FR, EN<\/li>\n                            <li><span class=\"text-dark font-heading font-bold\">Mandatory:<\/span> Yes<\/li>\n                        <\/ul>\n                    <\/div>\n                <\/li>\n\n                <!--<li class=\"list-highlighted__item items-start\">-->\n                <!--    <header class=\"list-highlighted__header\">-->\n                <!--        <h5 class=\"text-18\"><strong>--><!--<\/strong><\/h5>-->\n                <!--    <\/header>-->\n                <!--    <div class=\"list-highlighted__body\">-->\n                <!--        <div class=\"speaker-group\">-->\n                <!--            -->                <!--        <\/div>-->\n                <!--    <\/div>-->\n                <!--<\/li>-->\n\n                                <li class=\"list-highlighted__item items-start\">\n                    <header class=\"list-highlighted__header\">\n                        <h5 class=\"text-18\"><strong>Objectives<\/strong><\/h5>\n                    <\/header>\n                    <div class=\"list-highlighted__body\">\n                        <p>\n                            <p>Introduction to the basic concepts of the complex analysis with applications to Fourier transforms, series and differential equations. Introduction to the basic mathematical framework of the quantum theory. <\/p>                        <\/p>\n                    <\/div>\n                <\/li>\n                \n                                <li class=\"list-highlighted__item items-start\">\n                    <header class=\"list-highlighted__header\">\n                        <h5 class=\"text-18\"><strong>Course learning outcomes<\/strong><\/h5>\n                    <\/header>\n                    <div class=\"list-highlighted__body\">\n                        Integration of simple meromorphic functions, Fourier transforms, diagonalization of endomorphisms, notion of scalar product, series expansion.                    <\/div>\n                <\/li>\n                \n                                <li class=\"list-highlighted__item items-start\">\n                    <header class=\"list-highlighted__header\">\n                        <h5 class=\"text-18\"><strong>Description<\/strong><\/h5>\n                    <\/header>\n                    <div class=\"list-highlighted__body\">\n                        Complex analysis, Complex integration, Cauchy and residue Theorems.<br>Vector spaces in finite and infinite dimensions<br>Functional spaces, Hilbert spaces<br>Sturm-Liouville problem and orthogonal polynomials                    <\/div>\n                <\/li>\n                \n                \n                                <li class=\"list-highlighted__item items-start\">\n                    <header class=\"list-highlighted__header\">\n                        <h5 class=\"text-18\"><strong>Assessment<\/strong><\/h5>\n                    <\/header>\n                    <div class=\"list-highlighted__body\">\n                        <p><br>Final exam: Written exam<br>Assessment rules: Student cannot use any notes nor electronic devices<br>Assessment criteria: Graded out of 20<\/p><br><p>\u00a0<\/p><br><p><br>Retake exam offered<br><\/p><br><p>written exam (same rules as the final exam)<\/p>                    <\/div>\n                <\/li>\n                \n                                <li class=\"list-highlighted__item items-start\">\n                    <header class=\"list-highlighted__header\">\n                        <h5 class=\"text-18\"><strong>Note<\/strong><\/h5>\n                    <\/header>\n                    <div class=\"list-highlighted__body\">\n                        <p>\u00a0<\/p><br><p><br>Support \/ Literature<br><\/p><br><p>Serie Schaum Mathematique : Analyse complexe, Alg\u00e8bre lin\u00e9aire<br>Byron and Fuller : mathematics of classical and quantum physics\u00a0<br>Karevski : Physique quantique des champs et des transitions de phase.<br><\/p>                    <\/div>\n                <\/li>\n                \n            <\/ul>\n        <\/div>\n    <\/div>\n<\/div>            \n<div class=\"accordion__item\">\n    <h4 class=\"accordion__header\">\n        <button\n                type=\"button\"\n                class=\"accordion__button collapsed\"\n                aria-expanded=\"false\"\n                data-bs-toggle=\"collapse\"\n                data-bs-target=\"#accordion-panel-69d46f052d963\"\n        >\n            <span class=\"accordion__title\">\n                Probabilit\u00e9s et statistique appliqu\u00e9e pour ing\u00e9nieurs et physiciens 1                <span class=\"accordion__data\">\n                    <span class=\"accordion__data__item\">\n                        <span class=\"accordion__data__name\">ECTS credits:<\/span>\n                        <span class=\"accordion__data__value\">\n                            5                        <\/span>\n                    <\/span>\n                    <span class=\"accordion__data__item\">\n                        <span class=\"accordion__data__name\">Course code:<\/span>\n                        <span class=\"accordion__data__value\">\n                            BA_PHYS_GEN-17                        <\/span>\n                    <\/span>\n                <\/span>\n            <\/span>\n            <svg aria-hidden=\"true\" focusable=\"false\" class=\"icon icon-outline icon--arrow-down icon--lg\"><use xlink:href=\"https:\/\/www.uni.lu\/wp-content\/themes\/unilux-theme\/assets\/images\/icons\/icons-outline.svg#icon--arrow-down\"><\/use><\/svg>        <\/button>\n    <\/h4>\n\n    <div id=\"accordion-panel-69d46f052d963\" class=\"accordion__collapse collapse\" data-bs-parent=\"#accordion-module-69d46f052d91b\">\n        <div class=\"accordion__body p-0\">\n            <ul class=\"list-highlighted\">\n                <li class=\"list-highlighted__item items-start\">\n                    <header class=\"list-highlighted__header\">\n                        <h5 class=\"text-18\"><strong>Details<\/strong><\/h5>\n                    <\/header>\n                    <div class=\"list-highlighted__body\">\n                        <ul>\n                            <li><span class=\"text-dark font-heading font-bold\">Course title:<\/span> Probabilit\u00e9s et statistique appliqu\u00e9e pour ing\u00e9nieurs et physiciens 1<\/li>\n                            <li><span class=\"text-dark font-heading font-bold\">Number of ECTS:<\/span> 5<\/li>\n                            <li><span class=\"text-dark font-heading font-bold\">Course code:<\/span> BA_PHYS_GEN-17<\/li>\n                            <li><span class=\"text-dark font-heading font-bold\">Module(s):<\/span> Module 3.3<\/li>\n                            <li><span class=\"text-dark font-heading font-bold\">Language:<\/span> EN<\/li>\n                            <li><span class=\"text-dark font-heading font-bold\">Mandatory:<\/span> Yes<\/li>\n                        <\/ul>\n                    <\/div>\n                <\/li>\n\n                <!--<li class=\"list-highlighted__item items-start\">-->\n                <!--    <header class=\"list-highlighted__header\">-->\n                <!--        <h5 class=\"text-18\"><strong>--><!--<\/strong><\/h5>-->\n                <!--    <\/header>-->\n                <!--    <div class=\"list-highlighted__body\">-->\n                <!--        <div class=\"speaker-group\">-->\n                <!--            -->                <!--        <\/div>-->\n                <!--    <\/div>-->\n                <!--<\/li>-->\n\n                                <li class=\"list-highlighted__item items-start\">\n                    <header class=\"list-highlighted__header\">\n                        <h5 class=\"text-18\"><strong>Objectives<\/strong><\/h5>\n                    <\/header>\n                    <div class=\"list-highlighted__body\">\n                        <p>\n                            Understand the concepts of randomness, probabilities and statistics.                        <\/p>\n                    <\/div>\n                <\/li>\n                \n                                <li class=\"list-highlighted__item items-start\">\n                    <header class=\"list-highlighted__header\">\n                        <h5 class=\"text-18\"><strong>Course learning outcomes<\/strong><\/h5>\n                    <\/header>\n                    <div class=\"list-highlighted__body\">\n                        A good handle of the concept of probability, uncertainty, descriptive statistics and discrete random variables, as well as know how to avoid the typical statistical mistakes.                    <\/div>\n                <\/li>\n                \n                                <li class=\"list-highlighted__item items-start\">\n                    <header class=\"list-highlighted__header\">\n                        <h5 class=\"text-18\"><strong>Description<\/strong><\/h5>\n                    <\/header>\n                    <div class=\"list-highlighted__body\">\n                        The course will start with a motivation to know probability and statistics, in particular by showing its uses in everyday life and in particular in physics and engineering. We will then see descriptive statistics and how to avoid the typical statistical mistakes. Next we will lay out the basics of probability theory, (discrete) random variables, stochastic simulations, and finally draw a link to modern-day topics such as artificial intelligence and data science.<br>\u00a0<br>                    <\/div>\n                <\/li>\n                \n                \n                                <li class=\"list-highlighted__item items-start\">\n                    <header class=\"list-highlighted__header\">\n                        <h5 class=\"text-18\"><strong>Assessment<\/strong><\/h5>\n                    <\/header>\n                    <div class=\"list-highlighted__body\">\n                        <p><br>Task 1: Written midterm exam<br><br>Task 2: Written final exam<\/p><br><p>\u00a0<\/p><br><p><br>Assessment rules:<br>The midterm concerns exercises as well as conceptual questions about the theory. The final exam only concerns exercises.<br>Assessment criteria: Midterm counts for 5 points, Final exam for 15 points.<\/p><br><p>\u00a0<\/p><br><p><br>Retake exam offered<br><\/p><br><p>Rules: Exactly the same type of written exam like the final exam.<\/p>                    <\/div>\n                <\/li>\n                \n                                <li class=\"list-highlighted__item items-start\">\n                    <header class=\"list-highlighted__header\">\n                        <h5 class=\"text-18\"><strong>Note<\/strong><\/h5>\n                    <\/header>\n                    <div class=\"list-highlighted__body\">\n                        Slides that will be handed out before each course (except for the very first course).                    <\/div>\n                <\/li>\n                \n            <\/ul>\n        <\/div>\n    <\/div>\n<\/div>            \n<div class=\"accordion__item\">\n    <h4 class=\"accordion__header\">\n        <button\n                type=\"button\"\n                class=\"accordion__button collapsed\"\n                aria-expanded=\"false\"\n                data-bs-toggle=\"collapse\"\n                data-bs-target=\"#accordion-panel-69d46f052d96f\"\n        >\n            <span class=\"accordion__title\">\n                Experimental Physics 3 : Modern physics                <span class=\"accordion__data\">\n                    <span class=\"accordion__data__item\">\n                        <span class=\"accordion__data__name\">ECTS credits:<\/span>\n                        <span class=\"accordion__data__value\">\n                            6                        <\/span>\n                    <\/span>\n                    <span class=\"accordion__data__item\">\n                        <span class=\"accordion__data__name\">Course code:<\/span>\n                        <span class=\"accordion__data__value\">\n                            BA_PHYS_GEN-12                        <\/span>\n                    <\/span>\n                <\/span>\n            <\/span>\n            <svg aria-hidden=\"true\" focusable=\"false\" class=\"icon icon-outline icon--arrow-down icon--lg\"><use xlink:href=\"https:\/\/www.uni.lu\/wp-content\/themes\/unilux-theme\/assets\/images\/icons\/icons-outline.svg#icon--arrow-down\"><\/use><\/svg>        <\/button>\n    <\/h4>\n\n    <div id=\"accordion-panel-69d46f052d96f\" class=\"accordion__collapse collapse\" data-bs-parent=\"#accordion-module-69d46f052d91b\">\n        <div class=\"accordion__body p-0\">\n            <ul class=\"list-highlighted\">\n                <li class=\"list-highlighted__item items-start\">\n                    <header class=\"list-highlighted__header\">\n                        <h5 class=\"text-18\"><strong>Details<\/strong><\/h5>\n                    <\/header>\n                    <div class=\"list-highlighted__body\">\n                        <ul>\n                            <li><span class=\"text-dark font-heading font-bold\">Course title:<\/span> Experimental Physics 3 : Modern physics<\/li>\n                            <li><span class=\"text-dark font-heading font-bold\">Number of ECTS:<\/span> 6<\/li>\n                            <li><span class=\"text-dark font-heading font-bold\">Course code:<\/span> BA_PHYS_GEN-12<\/li>\n                            <li><span class=\"text-dark font-heading font-bold\">Module(s):<\/span> Module 3.1<\/li>\n                            <li><span class=\"text-dark font-heading font-bold\">Language:<\/span> EN<\/li>\n                            <li><span class=\"text-dark font-heading font-bold\">Mandatory:<\/span> Yes<\/li>\n                        <\/ul>\n                    <\/div>\n                <\/li>\n\n                <!--<li class=\"list-highlighted__item items-start\">-->\n                <!--    <header class=\"list-highlighted__header\">-->\n                <!--        <h5 class=\"text-18\"><strong>--><!--<\/strong><\/h5>-->\n                <!--    <\/header>-->\n                <!--    <div class=\"list-highlighted__body\">-->\n                <!--        <div class=\"speaker-group\">-->\n                <!--            -->                <!--        <\/div>-->\n                <!--    <\/div>-->\n                <!--<\/li>-->\n\n                                <li class=\"list-highlighted__item items-start\">\n                    <header class=\"list-highlighted__header\">\n                        <h5 class=\"text-18\"><strong>Objectives<\/strong><\/h5>\n                    <\/header>\n                    <div class=\"list-highlighted__body\">\n                        <p>\n                            The course on modern physics describes the new physics, that was developed in the first half of the 20th century. As an experimental course, we will emphasise the experimental evidence that triggered the development of modern physics. The course lays the foundations for the rigorous treatment of quantum mechanics in the 4th semester.<br>The course aims to clarify the fact, that physics is a science in evolution, where new observations may lead to completely new theories.                        <\/p>\n                    <\/div>\n                <\/li>\n                \n                                <li class=\"list-highlighted__item items-start\">\n                    <header class=\"list-highlighted__header\">\n                        <h5 class=\"text-18\"><strong>Course learning outcomes<\/strong><\/h5>\n                    <\/header>\n                    <div class=\"list-highlighted__body\">\n                        Students will\u00a0<br>-understand the challenges for classical physics and how they led to the development of the theory of special relativity and of quantum mechanics<br>-understand the basic laws and principles of special relativity and of quantum mechanics, in particular, where they are counter-intuitive with respect to everyday experience<br>-deal confidently with the laws and principles of basic atomic physics<br>-can apply these laws to unknown problems                    <\/div>\n                <\/li>\n                \n                                <li class=\"list-highlighted__item items-start\">\n                    <header class=\"list-highlighted__header\">\n                        <h5 class=\"text-18\"><strong>Description<\/strong><\/h5>\n                    <\/header>\n                    <div class=\"list-highlighted__body\">\n                        1. Einstein\u2019s trains and elevators \u2013 relativity\u00a0<br>2. Particles and waves \u2013 quantisation and uncertainty<br>3. An introduction to quantum mechanics \u2013 Schr\u00f6dinger\u2019s equation<br>4. Atomic physics \u2013 the periodic system of elements<br>5. A short introduction to molecular physics                    <\/div>\n                <\/li>\n                \n                \n                                <li class=\"list-highlighted__item items-start\">\n                    <header class=\"list-highlighted__header\">\n                        <h5 class=\"text-18\"><strong>Assessment<\/strong><\/h5>\n                    <\/header>\n                    <div class=\"list-highlighted__body\">\n                        <p>\u00a0<\/p><br>Task 1: written midterm exam<br>\u00a0<br>Task 2: oral final exam<br>\u00a0<br>Assessment rules:<br>task 1:\u00a0 first part: no resources, second part: any paper resource allowed, no devices that can connect to the internet<br>At least 6\/20 points from task1 are necessary to participate in task 2<br>task 2: QA, no detailed calculations or derivations<br>\u00a0<br>Assessment criteria:<br>task 1: 6\/20 points is prerequisite for final exam<br>weight for final grade: 1\/3<br>task 2: weight for final grade: 2\/3<br>\u00a0<br>Retake exam \u2013 rules:<br>new oral exam.<br>final grade: 1\/3 midterm of previous semester + 2\/3 new oral exam<br><br>                    <\/div>\n                <\/li>\n                \n                                <li class=\"list-highlighted__item items-start\">\n                    <header class=\"list-highlighted__header\">\n                        <h5 class=\"text-18\"><strong>Note<\/strong><\/h5>\n                    <\/header>\n                    <div class=\"list-highlighted__body\">\n                        <p>Copies of the slides available on Moodle.<\/p><br><p>Books:<br>Paul Tipler, Ralph Llewellyn \u201cModern Physics\u201d (in English and German)<br>Randy Harris \u201cModern Physics\u201d<br>Stephen Thornton, Andrew Rex &#8220;Modern Physics for Scientists and Engineers&#8221;<br>\u201cThe Feynman lectures on physics\u201d (in English, French and German)\u00a0<br>\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 https:\/\/feynmanlectures.caltech.edu\u00a0<br>Harris Benson \u201cPhysique\u201d 3 (in English and French)<br>Wolfgang Demtr\u00f6der &#8220;Experimentalphysik&#8221; (in German)<br><\/p>                    <\/div>\n                <\/li>\n                \n            <\/ul>\n        <\/div>\n    <\/div>\n<\/div>            \n<div class=\"accordion__item\">\n    <h4 class=\"accordion__header\">\n        <button\n                type=\"button\"\n                class=\"accordion__button collapsed\"\n                aria-expanded=\"false\"\n                data-bs-toggle=\"collapse\"\n                data-bs-target=\"#accordion-panel-69d46f052d97a\"\n        >\n            <span class=\"accordion__title\">\n                Theoretical Physics 2: Electrodynamics and Relativity                <span class=\"accordion__data\">\n                    <span class=\"accordion__data__item\">\n                        <span class=\"accordion__data__name\">ECTS credits:<\/span>\n                        <span class=\"accordion__data__value\">\n                            6                        <\/span>\n                    <\/span>\n                    <span class=\"accordion__data__item\">\n                        <span class=\"accordion__data__name\">Course code:<\/span>\n                        <span class=\"accordion__data__value\">\n                            BA_PHYS_GEN-13                        <\/span>\n                    <\/span>\n                <\/span>\n            <\/span>\n            <svg aria-hidden=\"true\" focusable=\"false\" class=\"icon icon-outline icon--arrow-down icon--lg\"><use xlink:href=\"https:\/\/www.uni.lu\/wp-content\/themes\/unilux-theme\/assets\/images\/icons\/icons-outline.svg#icon--arrow-down\"><\/use><\/svg>        <\/button>\n    <\/h4>\n\n    <div id=\"accordion-panel-69d46f052d97a\" class=\"accordion__collapse collapse\" data-bs-parent=\"#accordion-module-69d46f052d91b\">\n        <div class=\"accordion__body p-0\">\n            <ul class=\"list-highlighted\">\n                <li class=\"list-highlighted__item items-start\">\n                    <header class=\"list-highlighted__header\">\n                        <h5 class=\"text-18\"><strong>Details<\/strong><\/h5>\n                    <\/header>\n                    <div class=\"list-highlighted__body\">\n                        <ul>\n                            <li><span class=\"text-dark font-heading font-bold\">Course title:<\/span> Theoretical Physics 2: Electrodynamics and Relativity<\/li>\n                            <li><span class=\"text-dark font-heading font-bold\">Number of ECTS:<\/span> 6<\/li>\n                            <li><span class=\"text-dark font-heading font-bold\">Course code:<\/span> BA_PHYS_GEN-13<\/li>\n                            <li><span class=\"text-dark font-heading font-bold\">Module(s):<\/span> Module 3.2<\/li>\n                            <li><span class=\"text-dark font-heading font-bold\">Language:<\/span> EN<\/li>\n                            <li><span class=\"text-dark font-heading font-bold\">Mandatory:<\/span> Yes<\/li>\n                        <\/ul>\n                    <\/div>\n                <\/li>\n\n                <!--<li class=\"list-highlighted__item items-start\">-->\n                <!--    <header class=\"list-highlighted__header\">-->\n                <!--        <h5 class=\"text-18\"><strong>--><!--<\/strong><\/h5>-->\n                <!--    <\/header>-->\n                <!--    <div class=\"list-highlighted__body\">-->\n                <!--        <div class=\"speaker-group\">-->\n                <!--            -->                <!--        <\/div>-->\n                <!--    <\/div>-->\n                <!--<\/li>-->\n\n                                <li class=\"list-highlighted__item items-start\">\n                    <header class=\"list-highlighted__header\">\n                        <h5 class=\"text-18\"><strong>Objectives<\/strong><\/h5>\n                    <\/header>\n                    <div class=\"list-highlighted__body\">\n                        <p>\n                            Understanding the concepts of a field theory; Acquiring the mathematical and theoretical skills to describe electro-magnetic phenomena starting from the Maxwell Equations.                        <\/p>\n                    <\/div>\n                <\/li>\n                \n                                <li class=\"list-highlighted__item items-start\">\n                    <header class=\"list-highlighted__header\">\n                        <h5 class=\"text-18\"><strong>Course learning outcomes<\/strong><\/h5>\n                    <\/header>\n                    <div class=\"list-highlighted__body\">\n                        Besides a profound overview over the classical theory of electro-magnetism, the student will acquire the necessary knowledge to treat electrodynamic phenomena within atomic, solid-state, soft-matter physics and other advanced branches of physics and material sciences. The mathematical skills acquired will also serve later for the solution of problems in quantum mechanics.                    <\/div>\n                <\/li>\n                \n                                <li class=\"list-highlighted__item items-start\">\n                    <header class=\"list-highlighted__header\">\n                        <h5 class=\"text-18\"><strong>Description<\/strong><\/h5>\n                    <\/header>\n                    <div class=\"list-highlighted__body\">\n                        1.)\u00a0 \u00a0 \u00a0Introduction to Electrostatics and Electrodynamics<br>2.)\u00a0 \u00a0 Maxwell Equations in Vacuum<br>3.)\u00a0 \u00a0 Boundary-Value Problems in Electrostatics<br>4.)\u00a0 \u00a0 Multipole Expansion<br>5.)\u00a0 \u00a0 Magnetostatics<br>6.)\u00a0 \u00a0 Electromagnetic waves, wave propagation, scattering, diffraction<br>7.)\u00a0 \u00a0 Electrodynamics in macroscopic media<br>8.)\u00a0 \u00a0 Special theory of relativity.                    <\/div>\n                <\/li>\n                \n                \n                                <li class=\"list-highlighted__item items-start\">\n                    <header class=\"list-highlighted__header\">\n                        <h5 class=\"text-18\"><strong>Assessment<\/strong><\/h5>\n                    <\/header>\n                    <div class=\"list-highlighted__body\">\n                        Midterm and final written and\/or oral exam                    <\/div>\n                <\/li>\n                \n                                <li class=\"list-highlighted__item items-start\">\n                    <header class=\"list-highlighted__header\">\n                        <h5 class=\"text-18\"><strong>Note<\/strong><\/h5>\n                    <\/header>\n                    <div class=\"list-highlighted__body\">\n                        <p>Support \/ Literature:<br><\/p><br><p>D. Griffith, Introduction to Electrodynamics, Prentice-Hall (1991)<br>R.J. Jelitto, Theoretische Physik 3: Elektroydynamik, Aula-Verlag (1987)<br>J.D. Jackson, Classical Electrodynamics, Wiley Sons (1999)<\/p>                    <\/div>\n                <\/li>\n                \n            <\/ul>\n        <\/div>\n    <\/div>\n<\/div>            \n<div class=\"accordion__item\">\n    <h4 class=\"accordion__header\">\n        <button\n                type=\"button\"\n                class=\"accordion__button collapsed\"\n                aria-expanded=\"false\"\n                data-bs-toggle=\"collapse\"\n                data-bs-target=\"#accordion-panel-69d46f052d986\"\n        >\n            <span class=\"accordion__title\">\n                Analyse 3                <span class=\"accordion__data\">\n                    <span class=\"accordion__data__item\">\n                        <span class=\"accordion__data__name\">ECTS credits:<\/span>\n                        <span class=\"accordion__data__value\">\n                            7                        <\/span>\n                    <\/span>\n                    <span class=\"accordion__data__item\">\n                        <span class=\"accordion__data__name\">Course code:<\/span>\n                        <span class=\"accordion__data__value\">\n                            BA_MATH_GEN-17                        <\/span>\n                    <\/span>\n                <\/span>\n            <\/span>\n            <svg aria-hidden=\"true\" focusable=\"false\" class=\"icon icon-outline icon--arrow-down icon--lg\"><use xlink:href=\"https:\/\/www.uni.lu\/wp-content\/themes\/unilux-theme\/assets\/images\/icons\/icons-outline.svg#icon--arrow-down\"><\/use><\/svg>        <\/button>\n    <\/h4>\n\n    <div id=\"accordion-panel-69d46f052d986\" class=\"accordion__collapse collapse\" data-bs-parent=\"#accordion-module-69d46f052d91b\">\n        <div class=\"accordion__body p-0\">\n            <ul class=\"list-highlighted\">\n                <li class=\"list-highlighted__item items-start\">\n                    <header class=\"list-highlighted__header\">\n                        <h5 class=\"text-18\"><strong>Details<\/strong><\/h5>\n                    <\/header>\n                    <div class=\"list-highlighted__body\">\n                        <ul>\n                            <li><span class=\"text-dark font-heading font-bold\">Course title:<\/span> Analyse 3<\/li>\n                            <li><span class=\"text-dark font-heading font-bold\">Number of ECTS:<\/span> 7<\/li>\n                            <li><span class=\"text-dark font-heading font-bold\">Course code:<\/span> BA_MATH_GEN-17<\/li>\n                            <li><span class=\"text-dark font-heading font-bold\">Module(s):<\/span> Module Electives 3.4 (5 ECTS required to close the module)<\/li>\n                            <li><span class=\"text-dark font-heading font-bold\">Language:<\/span> FR, EN<\/li>\n                            <li><span class=\"text-dark font-heading font-bold\">Mandatory:<\/span> No<\/li>\n                        <\/ul>\n                    <\/div>\n                <\/li>\n\n                <!--<li class=\"list-highlighted__item items-start\">-->\n                <!--    <header class=\"list-highlighted__header\">-->\n                <!--        <h5 class=\"text-18\"><strong>--><!--<\/strong><\/h5>-->\n                <!--    <\/header>-->\n                <!--    <div class=\"list-highlighted__body\">-->\n                <!--        <div class=\"speaker-group\">-->\n                <!--            -->                <!--        <\/div>-->\n                <!--    <\/div>-->\n                <!--<\/li>-->\n\n                                <li class=\"list-highlighted__item items-start\">\n                    <header class=\"list-highlighted__header\">\n                        <h5 class=\"text-18\"><strong>Objectives<\/strong><\/h5>\n                    <\/header>\n                    <div class=\"list-highlighted__body\">\n                        <p>\n                            Les \u00e9tudiants ayant suivi avec succ\u00e8s le cours d&#8217;analyse 3 seront capables de : <ul><li>Manipuler correctement les s\u00e9ries de fonctions et s\u00e9ries enti\u00e8res en particulier<\/li><li>Appliquer les r\u00e9sultats classiques de la th\u00e9orie des fonctions de plusieurs variables r\u00e9elles<\/li><li>R\u00e9soudre des probl\u00e8mes d&#8217;application simples <\/li><\/ul>                        <\/p>\n                    <\/div>\n                <\/li>\n                \n                                <li class=\"list-highlighted__item items-start\">\n                    <header class=\"list-highlighted__header\">\n                        <h5 class=\"text-18\"><strong>Course learning outcomes<\/strong><\/h5>\n                    <\/header>\n                    <div class=\"list-highlighted__body\">\n                        Dans ce cours, on diversifie et approfondit diverses connaissances et techniques de l\u2019analyse math\u00e9matique. On s\u2019int\u00e9resse \u00e0 d\u00e9montrer plusieurs th\u00e9or\u00e8mes fondamentaux dans l\u2019\u00e9tude des fonctions de plusieurs variables, des \u00e9quations diff\u00e9rentielles et des suites de fonctions.                    <\/div>\n                <\/li>\n                \n                                <li class=\"list-highlighted__item items-start\">\n                    <header class=\"list-highlighted__header\">\n                        <h5 class=\"text-18\"><strong>Description<\/strong><\/h5>\n                    <\/header>\n                    <div class=\"list-highlighted__body\">\n                        <p>Programme<br><\/p><ul><li>Fonctions implicites et applications<\/li><li>Th\u00e9orie locale des \u00e9quations diff\u00e9rentielles ordinaires<\/li><li>Convergence de suites de fonctions<\/li><li>S\u00e9rie de puissances<\/li><li>L\u2019exponentielle matricielle<\/li><li>Th\u00e9or\u00e8me d\u2019approximation de Stone-Weierstrass<br><\/li><\/ul>                    <\/div>\n                <\/li>\n                \n                \n                                <li class=\"list-highlighted__item items-start\">\n                    <header class=\"list-highlighted__header\">\n                        <h5 class=\"text-18\"><strong>Assessment<\/strong><\/h5>\n                    <\/header>\n                    <div class=\"list-highlighted__body\">\n                        <p>Contr\u00f4le continu et examen \u00e9crit<\/p>                    <\/div>\n                <\/li>\n                \n                                <li class=\"list-highlighted__item items-start\">\n                    <header class=\"list-highlighted__header\">\n                        <h5 class=\"text-18\"><strong>Note<\/strong><\/h5>\n                    <\/header>\n                    <div class=\"list-highlighted__body\">\n                        <p><br>Litt\u00e9rature\u00a0<\/p><br><ul><br><li>W. Rudin: Principes d&#8217;analyse math\u00e9matique.<\/li><br><li>Des notes de cours sont mises \u00e0 disposition des \u00e9tudiants.<\/li><br><\/ul>                    <\/div>\n                <\/li>\n                \n            <\/ul>\n        <\/div>\n    <\/div>\n<\/div>            \n<div class=\"accordion__item\">\n    <h4 class=\"accordion__header\">\n        <button\n                type=\"button\"\n                class=\"accordion__button collapsed\"\n                aria-expanded=\"false\"\n                data-bs-toggle=\"collapse\"\n                data-bs-target=\"#accordion-panel-69d46f052d991\"\n        >\n            <span class=\"accordion__title\">\n                Analyse 3b                <span class=\"accordion__data\">\n                    <span class=\"accordion__data__item\">\n                        <span class=\"accordion__data__name\">ECTS credits:<\/span>\n                        <span class=\"accordion__data__value\">\n                            5                        <\/span>\n                    <\/span>\n                    <span class=\"accordion__data__item\">\n                        <span class=\"accordion__data__name\">Course code:<\/span>\n                        <span class=\"accordion__data__value\">\n                            BA_PHYS_GEN-38                        <\/span>\n                    <\/span>\n                <\/span>\n            <\/span>\n            <svg aria-hidden=\"true\" focusable=\"false\" class=\"icon icon-outline icon--arrow-down icon--lg\"><use xlink:href=\"https:\/\/www.uni.lu\/wp-content\/themes\/unilux-theme\/assets\/images\/icons\/icons-outline.svg#icon--arrow-down\"><\/use><\/svg>        <\/button>\n    <\/h4>\n\n    <div id=\"accordion-panel-69d46f052d991\" class=\"accordion__collapse collapse\" data-bs-parent=\"#accordion-module-69d46f052d91b\">\n        <div class=\"accordion__body p-0\">\n            <ul class=\"list-highlighted\">\n                <li class=\"list-highlighted__item items-start\">\n                    <header class=\"list-highlighted__header\">\n                        <h5 class=\"text-18\"><strong>Details<\/strong><\/h5>\n                    <\/header>\n                    <div class=\"list-highlighted__body\">\n                        <ul>\n                            <li><span class=\"text-dark font-heading font-bold\">Course title:<\/span> Analyse 3b<\/li>\n                            <li><span class=\"text-dark font-heading font-bold\">Number of ECTS:<\/span> 5<\/li>\n                            <li><span class=\"text-dark font-heading font-bold\">Course code:<\/span> BA_PHYS_GEN-38<\/li>\n                            <li><span class=\"text-dark font-heading font-bold\">Module(s):<\/span> Module Electives 3.4 (5 ECTS required to close the module)<\/li>\n                            <li><span class=\"text-dark font-heading font-bold\">Language:<\/span> EN<\/li>\n                            <li><span class=\"text-dark font-heading font-bold\">Mandatory:<\/span> No<\/li>\n                        <\/ul>\n                    <\/div>\n                <\/li>\n\n                <!--<li class=\"list-highlighted__item items-start\">-->\n                <!--    <header class=\"list-highlighted__header\">-->\n                <!--        <h5 class=\"text-18\"><strong>--><!--<\/strong><\/h5>-->\n                <!--    <\/header>-->\n                <!--    <div class=\"list-highlighted__body\">-->\n                <!--        <div class=\"speaker-group\">-->\n                <!--            -->                <!--        <\/div>-->\n                <!--    <\/div>-->\n                <!--<\/li>-->\n\n                                <li class=\"list-highlighted__item items-start\">\n                    <header class=\"list-highlighted__header\">\n                        <h5 class=\"text-18\"><strong>Objectives<\/strong><\/h5>\n                    <\/header>\n                    <div class=\"list-highlighted__body\">\n                        <p>\n                            To understand and use appropriately the mathematical language, identify the hypotheses and conclusions, as well as to develop and express rigorous arguments.<br>To grasp new mathematical concepts building on previous ones (mainly from Analysis and Applications 1 and 2, as well as Linear Algebra).\u00a0<br>To introduce elements of Functional Analysis, emphasizing the notion and significance of Hilbert spaces.<br>To study the relationship between real problems, their mathematical models in terms of Ordinary Differential Equations, and how to solve them using Fourier analysis.<br>To introduce Fourier series and Fourier transforms by studying the key results and examples.<br>To present some interesting applications of Fourier analysis to the real world.\u00a0                        <\/p>\n                    <\/div>\n                <\/li>\n                \n                                <li class=\"list-highlighted__item items-start\">\n                    <header class=\"list-highlighted__header\">\n                        <h5 class=\"text-18\"><strong>Course learning outcomes<\/strong><\/h5>\n                    <\/header>\n                    <div class=\"list-highlighted__body\">\n                        The student will understand the notion of Hilbert spaces and will learn the main examples and properties.<br>The student will use bounded linear operators and learn the significance of the Riesz representation theorem.<br>The student will be able to compute Fourier series of the usual functions and will be aware of their use to solve differential equations.<br>The student will be able to compute Fourier transforms and convolutions of functions.<br>                    <\/div>\n                <\/li>\n                \n                                <li class=\"list-highlighted__item items-start\">\n                    <header class=\"list-highlighted__header\">\n                        <h5 class=\"text-18\"><strong>Description<\/strong><\/h5>\n                    <\/header>\n                    <div class=\"list-highlighted__body\">\n                        1.\u00a0 ELEMENTS OF HILBERT SPACES<br>Norms and distances. Bounded linear operators. Inner spaces. Hilbert spaces and main examples. Nice properties of Hilbert spaces: projections, Bessel inequality and orthonormality. Linear functionals. The Riesz representation theorem.<br>2.\u00a0 FOURIER SERIES<br>Convergence of functions: pointwise, uniform and L^2-convergence. Definition of Fourier series. Computation of the Fourier coefficients. Main properties.<br>3.\u00a0 THE FOURIER TRANSFORM<br>Definition of Fourier transforms. Plancherel\u2019s theorem. Convolution. The Heisenberg Uncertainty Principle.\u00a0                    <\/div>\n                <\/li>\n                \n                \n                                <li class=\"list-highlighted__item items-start\">\n                    <header class=\"list-highlighted__header\">\n                        <h5 class=\"text-18\"><strong>Assessment<\/strong><\/h5>\n                    <\/header>\n                    <div class=\"list-highlighted__body\">\n                        Task 1: Written exams<br>Assessment rules:\u00a0 No electronic devices<br>Assessment criteria: 50% Midterms, 50% Final exam.<br><br>Retake exam offered \u2013 rules:\u00a0 Written exam 100%<br>                    <\/div>\n                <\/li>\n                \n                                <li class=\"list-highlighted__item items-start\">\n                    <header class=\"list-highlighted__header\">\n                        <h5 class=\"text-18\"><strong>Note<\/strong><\/h5>\n                    <\/header>\n                    <div class=\"list-highlighted__body\">\n                        Basic references:<br><br><br>Applied Analysis, John K. Hunter Bruno Nachtergaele, available at Nachtergaele\u2019s webpage, 2000.<br><br><br>Introductory Functional Analysis with Applications, Erwin Kreyszig, John Wiley Sons, 1978, ISBN: 978-0471504597.<br><br><br>Elementary Classical Analysis, Jerrold E. Marsden Michael Hoffman, W. H Freeman, 1993, ISBN: 978-0716721055.\u00a0<br><br><br>Analyse 3b pour le BASI physique et ing\u00e9nierie, Jean-Marc Schlenker, 2014, available at Schlenker\u2019s webpage.<br><br><br>Partial Differential Equations: An Introduction, Walter A. Strauss, John Wiley Sons, 2008, ISBN: 978-0470-05456-7.\u00a0<br><br><br>Complementary references:<br><br><br>A Course in Functional Analysis, John B. Conway, Springer-Verlag New York, 2007, ISBN: 978-0-387-97245-9.\u00a0<br>Fourier Analysis, Javier Duoandikoetxea, American Mathematical Society, 2001, ISBN: 978-0-8218-2172-5.<br>Partial Differential Equations, Lawrence C. Evans, American Mathematical Society, 2010, ISBN: 978-0821849743.<br>Real Analysis: Modern Techniques and their applications, Gerald B. Folland, John Wiley Sons, 2007, ISBN: 978-0471317166.<br>Fourier series, Fourier transforms, and function spaces: a second course in Analysis, Tim Hsu, American Mathematical Society, 2020, ISBN: 978-1470451455.<br>A student\u2019s guide to Fourier transforms (with applications in Physics and Engineering), J. F. James, Cambridge University Press, 2011, ISBN: 978-052117683 5.\u00a0<br>Introductory Functional Analysis with Applications, Erwin Kreyszig, John Wiley Sons, 1978, ISBN: 978-0471504597.\u00a0<br>Lectures on the Fourier transform and its applications, Brad G. Osgood, American Mathematical Society, 2019, ISBN: 978-1470441913.\u00a0<br>An introduction to partial differential equations, Yehuda Pinchover Jacob Rubinstein, Cambridge university Press, 2005, ISBN: 978-0521613231.<br>Fourier analysis: an introduction, Elias M. Stein Rami Shakarchi, Princeton University Press, 2003, ISBN: 978-069111384-5.\u00a0                    <\/div>\n                <\/li>\n                \n            <\/ul>\n        <\/div>\n    <\/div>\n<\/div>            \n<div class=\"accordion__item\">\n    <h4 class=\"accordion__header\">\n        <button\n                type=\"button\"\n                class=\"accordion__button collapsed\"\n                aria-expanded=\"false\"\n                data-bs-toggle=\"collapse\"\n                data-bs-target=\"#accordion-panel-69d46f052d99d\"\n        >\n            <span class=\"accordion__title\">\n                Programming for Physics                <span class=\"accordion__data\">\n                    <span class=\"accordion__data__item\">\n                        <span class=\"accordion__data__name\">ECTS credits:<\/span>\n                        <span class=\"accordion__data__value\">\n                            4                        <\/span>\n                    <\/span>\n                    <span class=\"accordion__data__item\">\n                        <span class=\"accordion__data__name\">Course code:<\/span>\n                        <span class=\"accordion__data__value\">\n                            BA_PHYS_GEN-30                        <\/span>\n                    <\/span>\n                <\/span>\n            <\/span>\n            <svg aria-hidden=\"true\" focusable=\"false\" class=\"icon icon-outline icon--arrow-down icon--lg\"><use xlink:href=\"https:\/\/www.uni.lu\/wp-content\/themes\/unilux-theme\/assets\/images\/icons\/icons-outline.svg#icon--arrow-down\"><\/use><\/svg>        <\/button>\n    <\/h4>\n\n    <div id=\"accordion-panel-69d46f052d99d\" class=\"accordion__collapse collapse\" data-bs-parent=\"#accordion-module-69d46f052d91b\">\n        <div class=\"accordion__body p-0\">\n            <ul class=\"list-highlighted\">\n                <li class=\"list-highlighted__item items-start\">\n                    <header class=\"list-highlighted__header\">\n                        <h5 class=\"text-18\"><strong>Details<\/strong><\/h5>\n                    <\/header>\n                    <div class=\"list-highlighted__body\">\n                        <ul>\n                            <li><span class=\"text-dark font-heading font-bold\">Course title:<\/span> Programming for Physics<\/li>\n                            <li><span class=\"text-dark font-heading font-bold\">Number of ECTS:<\/span> 4<\/li>\n                            <li><span class=\"text-dark font-heading font-bold\">Course code:<\/span> BA_PHYS_GEN-30<\/li>\n                            <li><span class=\"text-dark font-heading font-bold\">Module(s):<\/span> Module Electives 3.4 (5 ECTS required to close the module)<\/li>\n                            <li><span class=\"text-dark font-heading font-bold\">Language:<\/span> EN<\/li>\n                            <li><span class=\"text-dark font-heading font-bold\">Mandatory:<\/span> No<\/li>\n                        <\/ul>\n                    <\/div>\n                <\/li>\n\n                <!--<li class=\"list-highlighted__item items-start\">-->\n                <!--    <header class=\"list-highlighted__header\">-->\n                <!--        <h5 class=\"text-18\"><strong>--><!--<\/strong><\/h5>-->\n                <!--    <\/header>-->\n                <!--    <div class=\"list-highlighted__body\">-->\n                <!--        <div class=\"speaker-group\">-->\n                <!--            -->                <!--        <\/div>-->\n                <!--    <\/div>-->\n                <!--<\/li>-->\n\n                                <li class=\"list-highlighted__item items-start\">\n                    <header class=\"list-highlighted__header\">\n                        <h5 class=\"text-18\"><strong>Objectives<\/strong><\/h5>\n                    <\/header>\n                    <div class=\"list-highlighted__body\">\n                        <p>\n                            Efficiently implement common physics-related calculations using a computer, with an understanding of numerical constraints on accuracy and time.<br>Become familiar with famous computational models for physical processes showing chaotic or complex dynamics.<br>                        <\/p>\n                    <\/div>\n                <\/li>\n                \n                                <li class=\"list-highlighted__item items-start\">\n                    <header class=\"list-highlighted__header\">\n                        <h5 class=\"text-18\"><strong>Course learning outcomes<\/strong><\/h5>\n                    <\/header>\n                    <div class=\"list-highlighted__body\">\n                        A student should be able to:\u00a0<br>\u2013\u00a0 Write a python program&#8230;<br>\u00a0 \u2026to describe the time-evolution of a dynamical system<br>\u00a0 &#8230;to solve a field equation on a grid<br>\u00a0 &#8230;to solve a multidimensional optimisation<br>\u2013\u00a0 Describe the behaviour of complex or stochastic dynamical systems in a statistical way<br>\u2013\u00a0 Present results graphically in each case.<br>                    <\/div>\n                <\/li>\n                \n                                <li class=\"list-highlighted__item items-start\">\n                    <header class=\"list-highlighted__header\">\n                        <h5 class=\"text-18\"><strong>Description<\/strong><\/h5>\n                    <\/header>\n                    <div class=\"list-highlighted__body\">\n                        <p>\u00a0<\/p>Basic programming skills, with interactive python worksheets for plotting.<br>This course is an introduction to both computation for physics, and computational physics: a training in the computer skills needed to implement common physics calculations, and an introduction to the types of physical models which require computational treatment.<br><p>\u00a0<\/p>                    <\/div>\n                <\/li>\n                \n                \n                                <li class=\"list-highlighted__item items-start\">\n                    <header class=\"list-highlighted__header\">\n                        <h5 class=\"text-18\"><strong>Assessment<\/strong><\/h5>\n                    <\/header>\n                    <div class=\"list-highlighted__body\">\n                        <p><br>Task 1: Weekly electronic submission of completed interactive notebooks, including computer code and graphical presentation and discussion of self-generated data.\u00a0 Any student who feels that their continuous assessment is a poor reflection of their ability may request an exam.<br>Assessment rules: Collaboration between students is encouraged, cut-paste plagiarism is discouraged by forfeiting marks for all parties with overly similar work. Work which is directly copied\u00a0 from online or AI resources without understanding will be penalised also.<br>Retake exam offered<\/p><br><p>Rules: If a student wishes to retake the course, they may do so by repeating the process of continuous assessment or by requesting to sit an exam. Any student who feels that their continuous assessment marks are a poor reflection of their ability may request an exam. The exam will take place at a computer (disconnected from the internet) and will consist of a series of short and simple computational physics programming challenges.<\/p><br>Please note that only students who have already attended the course will be able to retake the exam, and those who have not attended will have to re-enrol the following year.<br>                    <\/div>\n                <\/li>\n                \n                                <li class=\"list-highlighted__item items-start\">\n                    <header class=\"list-highlighted__header\">\n                        <h5 class=\"text-18\"><strong>Note<\/strong><\/h5>\n                    <\/header>\n                    <div class=\"list-highlighted__body\">\n                        Written notes are provided as part of the interactive material. These notes do not form a complete repository of knowledge needed to pass the course.                    <\/div>\n                <\/li>\n                \n            <\/ul>\n        <\/div>\n    <\/div>\n<\/div>            \n<div class=\"accordion__item\">\n    <h4 class=\"accordion__header\">\n        <button\n                type=\"button\"\n                class=\"accordion__button collapsed\"\n                aria-expanded=\"false\"\n                data-bs-toggle=\"collapse\"\n                data-bs-target=\"#accordion-panel-69d46f052d9a9\"\n        >\n            <span class=\"accordion__title\">\n                Topologie g\u00e9n\u00e9rale                <span class=\"accordion__data\">\n                    <span class=\"accordion__data__item\">\n                        <span class=\"accordion__data__name\">ECTS credits:<\/span>\n                        <span class=\"accordion__data__value\">\n                            5                        <\/span>\n                    <\/span>\n                    <span class=\"accordion__data__item\">\n                        <span class=\"accordion__data__name\">Course code:<\/span>\n                        <span class=\"accordion__data__value\">\n                            BA_MATH_GEN-20                        <\/span>\n                    <\/span>\n                <\/span>\n            <\/span>\n            <svg aria-hidden=\"true\" focusable=\"false\" class=\"icon icon-outline icon--arrow-down icon--lg\"><use xlink:href=\"https:\/\/www.uni.lu\/wp-content\/themes\/unilux-theme\/assets\/images\/icons\/icons-outline.svg#icon--arrow-down\"><\/use><\/svg>        <\/button>\n    <\/h4>\n\n    <div id=\"accordion-panel-69d46f052d9a9\" class=\"accordion__collapse collapse\" data-bs-parent=\"#accordion-module-69d46f052d91b\">\n        <div class=\"accordion__body p-0\">\n            <ul class=\"list-highlighted\">\n                <li class=\"list-highlighted__item items-start\">\n                    <header class=\"list-highlighted__header\">\n                        <h5 class=\"text-18\"><strong>Details<\/strong><\/h5>\n                    <\/header>\n                    <div class=\"list-highlighted__body\">\n                        <ul>\n                            <li><span class=\"text-dark font-heading font-bold\">Course title:<\/span> Topologie g\u00e9n\u00e9rale<\/li>\n                            <li><span class=\"text-dark font-heading font-bold\">Number of ECTS:<\/span> 5<\/li>\n                            <li><span class=\"text-dark font-heading font-bold\">Course code:<\/span> BA_MATH_GEN-20<\/li>\n                            <li><span class=\"text-dark font-heading font-bold\">Module(s):<\/span> Module Electives 3.4 (5 ECTS required to close the module)<\/li>\n                            <li><span class=\"text-dark font-heading font-bold\">Language:<\/span> FR, EN<\/li>\n                            <li><span class=\"text-dark font-heading font-bold\">Mandatory:<\/span> No<\/li>\n                        <\/ul>\n                    <\/div>\n                <\/li>\n\n                <!--<li class=\"list-highlighted__item items-start\">-->\n                <!--    <header class=\"list-highlighted__header\">-->\n                <!--        <h5 class=\"text-18\"><strong>--><!--<\/strong><\/h5>-->\n                <!--    <\/header>-->\n                <!--    <div class=\"list-highlighted__body\">-->\n                <!--        <div class=\"speaker-group\">-->\n                <!--            -->                <!--        <\/div>-->\n                <!--    <\/div>-->\n                <!--<\/li>-->\n\n                                <li class=\"list-highlighted__item items-start\">\n                    <header class=\"list-highlighted__header\">\n                        <h5 class=\"text-18\"><strong>Objectives<\/strong><\/h5>\n                    <\/header>\n                    <div class=\"list-highlighted__body\">\n                        <p>\n                            <p>Au terme du cours l&#8217;\u00e9tudiant doit \u00eatre \u00e0 m\u00eame de<br><\/p><br><ul><br><li>ma\u00eetriser les concepts de base de la topologie g\u00e9n\u00e9rale ainsi que les outils pour l&#8217;\u00e9tude, la description et la construction des espaces topologiques et des applications continues ;<\/li><br><li>appliquer les outils de la topologie g\u00e9n\u00e9rale pour r\u00e9soudre des probl\u00e8mes pos\u00e9s sur des espaces topologiques<\/li><br><\/ul>                        <\/p>\n                    <\/div>\n                <\/li>\n                \n                                <li class=\"list-highlighted__item items-start\">\n                    <header class=\"list-highlighted__header\">\n                        <h5 class=\"text-18\"><strong>Course learning outcomes<\/strong><\/h5>\n                    <\/header>\n                    <div class=\"list-highlighted__body\">\n                        <p>Apprendre les fondements de la topologie g\u00e9n\u00e9rale au travers des propri\u00e9t\u00e9s de base des espaces topologiques et des fonctions continues.<\/p>                    <\/div>\n                <\/li>\n                \n                                <li class=\"list-highlighted__item items-start\">\n                    <header class=\"list-highlighted__header\">\n                        <h5 class=\"text-18\"><strong>Description<\/strong><\/h5>\n                    <\/header>\n                    <div class=\"list-highlighted__body\">\n                        <p>Programm<\/p>\tEspaces topologiques;<br>\u00a0 \u00a0 \u2002\u2002-\u00a0 Int\u00e9rieur, adh\u00e9rence, bord;<br>\tContinuit\u00e9, compacit\u00e9, connexit\u00e9;<br>\tEspaces m\u00e9triques, compl\u00e9tude;<br>\u00a0 \u00a0 \u2002\u2002-\u00a0 Applications \u00e0 l&#8217;analyse.                    <\/div>\n                <\/li>\n                \n                \n                                <li class=\"list-highlighted__item items-start\">\n                    <header class=\"list-highlighted__header\">\n                        <h5 class=\"text-18\"><strong>Assessment<\/strong><\/h5>\n                    <\/header>\n                    <div class=\"list-highlighted__body\">\n                        La note finale sera la plus grande des deux notes suivantes :<br>\u00a0 \u00a0 &#8211; la note \u00e0 l&#8217;examen final;<br>\u00a0 \u00a0 &#8211; la moyenne pond\u00e9r\u00e9e entre : la note \u00e0 l&#8217;examen final (qui compte pour 50%), la note \u00e0 l&#8217;examen partiel (qui compte pour 40%) et la moyenne des 3 quiz (qui compte pour 10%).<br>                    <\/div>\n                <\/li>\n                \n                \n            <\/ul>\n        <\/div>\n    <\/div>\n<\/div>            \n<div class=\"accordion__item\">\n    <h4 class=\"accordion__header\">\n        <button\n                type=\"button\"\n                class=\"accordion__button collapsed\"\n                aria-expanded=\"false\"\n                data-bs-toggle=\"collapse\"\n                data-bs-target=\"#accordion-panel-69d46f052d9b5\"\n        >\n            <span class=\"accordion__title\">\n                Physics didactics 1                <span class=\"accordion__data\">\n                    <span class=\"accordion__data__item\">\n                        <span class=\"accordion__data__name\">ECTS credits:<\/span>\n                        <span class=\"accordion__data__value\">\n                            3                        <\/span>\n                    <\/span>\n                    <span class=\"accordion__data__item\">\n                        <span class=\"accordion__data__name\">Course code:<\/span>\n                        <span class=\"accordion__data__value\">\n                            BA_PHYS_GEN-36                        <\/span>\n                    <\/span>\n                <\/span>\n            <\/span>\n            <svg aria-hidden=\"true\" focusable=\"false\" class=\"icon icon-outline icon--arrow-down icon--lg\"><use xlink:href=\"https:\/\/www.uni.lu\/wp-content\/themes\/unilux-theme\/assets\/images\/icons\/icons-outline.svg#icon--arrow-down\"><\/use><\/svg>        <\/button>\n    <\/h4>\n\n    <div id=\"accordion-panel-69d46f052d9b5\" class=\"accordion__collapse collapse\" data-bs-parent=\"#accordion-module-69d46f052d91b\">\n        <div class=\"accordion__body p-0\">\n            <ul class=\"list-highlighted\">\n                <li class=\"list-highlighted__item items-start\">\n                    <header class=\"list-highlighted__header\">\n                        <h5 class=\"text-18\"><strong>Details<\/strong><\/h5>\n                    <\/header>\n                    <div class=\"list-highlighted__body\">\n                        <ul>\n                            <li><span class=\"text-dark font-heading font-bold\">Course title:<\/span> Physics didactics 1<\/li>\n                            <li><span class=\"text-dark font-heading font-bold\">Number of ECTS:<\/span> 3<\/li>\n                            <li><span class=\"text-dark font-heading font-bold\">Course code:<\/span> BA_PHYS_GEN-36<\/li>\n                            <li><span class=\"text-dark font-heading font-bold\">Module(s):<\/span> Module Electives 3.4 (5 ECTS required to close the module)<\/li>\n                            <li><span class=\"text-dark font-heading font-bold\">Language:<\/span> FR, DE, EN<\/li>\n                            <li><span class=\"text-dark font-heading font-bold\">Mandatory:<\/span> No<\/li>\n                        <\/ul>\n                    <\/div>\n                <\/li>\n\n                <!--<li class=\"list-highlighted__item items-start\">-->\n                <!--    <header class=\"list-highlighted__header\">-->\n                <!--        <h5 class=\"text-18\"><strong>--><!--<\/strong><\/h5>-->\n                <!--    <\/header>-->\n                <!--    <div class=\"list-highlighted__body\">-->\n                <!--        <div class=\"speaker-group\">-->\n                <!--            -->                <!--        <\/div>-->\n                <!--    <\/div>-->\n                <!--<\/li>-->\n\n                                <li class=\"list-highlighted__item items-start\">\n                    <header class=\"list-highlighted__header\">\n                        <h5 class=\"text-18\"><strong>Objectives<\/strong><\/h5>\n                    <\/header>\n                    <div class=\"list-highlighted__body\">\n                        <p>\n                            d\u00e9couvrir la richesse de l&#8217;enseignement de la physique<br>planifier et vivre des situations d&#8217;enseignement en classe<br>planifier des exp\u00e9riences de d\u00e9monstration<br>analyser ses propres performances pour mieux s&#8217;orienter dans son choix professionnel<br>comprendre l&#8217;enseignement de la physique dans diff\u00e9rents ordres d\u2019enseignement.                        <\/p>\n                    <\/div>\n                <\/li>\n                \n                                <li class=\"list-highlighted__item items-start\">\n                    <header class=\"list-highlighted__header\">\n                        <h5 class=\"text-18\"><strong>Course learning outcomes<\/strong><\/h5>\n                    <\/header>\n                    <div class=\"list-highlighted__body\">\n                        <p><br>Learn about the challenges posed by teaching then teaching physics then in multilingual and academic environments, communicating, use of new techniques\/possibilties<br><\/p>                    <\/div>\n                <\/li>\n                \n                                <li class=\"list-highlighted__item items-start\">\n                    <header class=\"list-highlighted__header\">\n                        <h5 class=\"text-18\"><strong>Description<\/strong><\/h5>\n                    <\/header>\n                    <div class=\"list-highlighted__body\">\n                        <p>Students will get the opportunity to teach in a \u2018real life\u2019 situation in a secondary school class. Furthermore there are courses on how to prepare, student pre \u2013 and misconceptions, evaluative and formative assessment, practical work and latest multi media methods e.g. Chat GPT, online teaching pros and cons,\u00a0use of news in press, fake news,\u2026\u00a0<br><\/p>                    <\/div>\n                <\/li>\n                \n                \n                                <li class=\"list-highlighted__item items-start\">\n                    <header class=\"list-highlighted__header\">\n                        <h5 class=\"text-18\"><strong>Assessment<\/strong><\/h5>\n                    <\/header>\n                    <div class=\"list-highlighted__body\">\n                        <p>Assessment is done by handing in a portfolio at the end of the semester. <\/p><br><p>This portfolio documents the different course subjects, activities, lesson plans, teaching performance etc. Attendance is mandatory to\u00a0fulfill the requirements and no ECTS will be given for non-attendance. Elements evaluated: regular attendance, participation, assignments, preparation, execution and analysis of practical part<\/p><br><p>Graded to 20 marks.<br>Assessment rules: portfolio has to be handed in by a deadline announced to the students\u00a0<br>Assessment criteria:\u00a0Practical part : 50 %<br>Courses, assignments, participation : 50%\u00a0<\/p><br><p><br>Retake exam not offered<br><\/p>                    <\/div>\n                <\/li>\n                \n                                <li class=\"list-highlighted__item items-start\">\n                    <header class=\"list-highlighted__header\">\n                        <h5 class=\"text-18\"><strong>Note<\/strong><\/h5>\n                    <\/header>\n                    <div class=\"list-highlighted__body\">\n                        <p>Notes de cours:<br>G. de Vecchi, L&#8217;enseignement scientifique, Delagrave, 2002, ISBN: 2-206-08471-6<br>H. Gudjons, Handlungsorientiert lehren und lernen, Klinkhardt, 2008, 2008, ISBN: 978-3-7815-1625-0<br>Kirchner Girwidz H\u00e4u\u00dfler, Physikdidaktik, Springer, 2001, ISBN: 3-540-41936-5<br>H. Klippert, Methodentraining, Beltz 2005, ISBN: 3-407-62545-6<br>A.B. Arons Teaching Introductory Physics, Wiley, 1996, ISBN: 978-04711-37078<br>M. Reiss Understanding Science Lessons, Open University Press, 2001, ISBN: 978-0335-197699<br>H.K. Mikalsis (Hrsg.) Physik Didaktik, Cornelsen Scriptor, 2006, ISBN: 378-3589221486<br>Edited by J.Osborne and J. Dilon Good Practice in Science teaching, OUP 2010 ISBN: 978-033523858-3<\/p><br><p>Science learning and teaching, Routledge 3rd ed. , J. Wellington and G. Ireson ISBN 978-0-415-61972-1<\/p><br><p><br>Journals:\u00a0 Physik in unserer Zeit, Praxis der Naturwissenschaften, The Physics Teacher, American Journal of Physics,..\u00a0<br><\/p>                    <\/div>\n                <\/li>\n                \n            <\/ul>\n        <\/div>\n    <\/div>\n<\/div>    <\/div><\/div><\/section>\n<section\n    id=\"tabpanel-9d5953f9-8026-4545-a880-a8f879e9fcf8\"\n    aria-labelledby=\"tab-9d5953f9-8026-4545-a880-a8f879e9fcf8\"\n    class=\"tab-panel fade hidden is-hidden\"\n>\n    <div class=\"wp-block-unilux-blocks-course-offer\">\n    <h3>Course offer for Bachelor in Physics Fili\u00e8re Saar-Lor-Lux (2025-2026 Summer)<\/h3>\n    \n<div id=\"accordion-module-69d46f05319ce\" class=\"accordion accordion--theme\">\n            \n<div class=\"accordion__item\">\n    <h4 class=\"accordion__header\">\n        <button\n                type=\"button\"\n                class=\"accordion__button collapsed\"\n                aria-expanded=\"false\"\n                data-bs-toggle=\"collapse\"\n                data-bs-target=\"#accordion-panel-69d46f05319f4\"\n        >\n            <span class=\"accordion__title\">\n                Theoretical physics 3 : Quantum mechanics                 <span class=\"accordion__data\">\n                    <span class=\"accordion__data__item\">\n                        <span class=\"accordion__data__name\">ECTS credits:<\/span>\n                        <span class=\"accordion__data__value\">\n                            6                        <\/span>\n                    <\/span>\n                    <span class=\"accordion__data__item\">\n                        <span class=\"accordion__data__name\">Course code:<\/span>\n                        <span class=\"accordion__data__value\">\n                            BA_PHYS_GEN-18                        <\/span>\n                    <\/span>\n                <\/span>\n            <\/span>\n            <svg aria-hidden=\"true\" focusable=\"false\" class=\"icon icon-outline icon--arrow-down icon--lg\"><use xlink:href=\"https:\/\/www.uni.lu\/wp-content\/themes\/unilux-theme\/assets\/images\/icons\/icons-outline.svg#icon--arrow-down\"><\/use><\/svg>        <\/button>\n    <\/h4>\n\n    <div id=\"accordion-panel-69d46f05319f4\" class=\"accordion__collapse collapse\" data-bs-parent=\"#accordion-module-69d46f05319ce\">\n        <div class=\"accordion__body p-0\">\n            <ul class=\"list-highlighted\">\n                <li class=\"list-highlighted__item items-start\">\n                    <header class=\"list-highlighted__header\">\n                        <h5 class=\"text-18\"><strong>Details<\/strong><\/h5>\n                    <\/header>\n                    <div class=\"list-highlighted__body\">\n                        <ul>\n                            <li><span class=\"text-dark font-heading font-bold\">Course title:<\/span> Theoretical physics 3 : Quantum mechanics <\/li>\n                            <li><span class=\"text-dark font-heading font-bold\">Number of ECTS:<\/span> 6<\/li>\n                            <li><span class=\"text-dark font-heading font-bold\">Course code:<\/span> BA_PHYS_GEN-18<\/li>\n                            <li><span class=\"text-dark font-heading font-bold\">Module(s):<\/span> Module 4.1<\/li>\n                            <li><span class=\"text-dark font-heading font-bold\">Language:<\/span> EN, FR<\/li>\n                            <li><span class=\"text-dark font-heading font-bold\">Mandatory:<\/span> Yes<\/li>\n                        <\/ul>\n                    <\/div>\n                <\/li>\n\n                <!--<li class=\"list-highlighted__item items-start\">-->\n                <!--    <header class=\"list-highlighted__header\">-->\n                <!--        <h5 class=\"text-18\"><strong>--><!--<\/strong><\/h5>-->\n                <!--    <\/header>-->\n                <!--    <div class=\"list-highlighted__body\">-->\n                <!--        <div class=\"speaker-group\">-->\n                <!--            -->                <!--        <\/div>-->\n                <!--    <\/div>-->\n                <!--<\/li>-->\n\n                                <li class=\"list-highlighted__item items-start\">\n                    <header class=\"list-highlighted__header\">\n                        <h5 class=\"text-18\"><strong>Objectives<\/strong><\/h5>\n                    <\/header>\n                    <div class=\"list-highlighted__body\">\n                        <p>\n                            The main idea of the course is to teach students on using the mathematical formalism of quantum mechanics for solving different QM problems.                        <\/p>\n                    <\/div>\n                <\/li>\n                \n                                <li class=\"list-highlighted__item items-start\">\n                    <header class=\"list-highlighted__header\">\n                        <h5 class=\"text-18\"><strong>Course learning outcomes<\/strong><\/h5>\n                    <\/header>\n                    <div class=\"list-highlighted__body\">\n                        During this course the students get basic knowledge on quantum mechanics (QM), which is normally assumed for Bachelor students                    <\/div>\n                <\/li>\n                \n                                <li class=\"list-highlighted__item items-start\">\n                    <header class=\"list-highlighted__header\">\n                        <h5 class=\"text-18\"><strong>Description<\/strong><\/h5>\n                    <\/header>\n                    <div class=\"list-highlighted__body\">\n                        Review of the classical lagrangian and hamiltonian mechanics: configuration space, least action principle, Legendre transform,<br>Hamilton equations, Poisson Brackets, Liouville equation;<br>\u00a0-Double slit experiment: breakdown of classical mechanics and path-integral interpretation of interference pattern.<br>\u00a0-History of quantum mechanics: black body problem, UV catastrophe, Rayleigh-Jeans and Planck distributions, photoelectric effect and Einstein interpretation, concept of photon, Hydrogen spectrum and Bohr model of the hydrogen atom, Compton effects, de Broglie wave mechanics, Schr\u00f6dinger wave equation, Heisenberg matrix QM, Copenhagen interpretation of QM;<br>\u00a0-The conceptual and mathematical structure of QM: Hilbert space of quantum states and its properties, commutator of linear operators, algebra of quantum observables (hermitian operators), and its representation in Hilbert space (algebra of Hermitian operators), change of representation, and projectors on eigenspace of hermitian operators. Expectation value of an operator on a given state. Unitary evolution and Stone&#8217;s Theorem. Conceptual aspects of the uncertainty principle in QM for the canonical conjugate variable.<br>\u00a0-QM of 1D systems: stationary and time-dependent Schr\u00f6dinger equation, eigenvalues and eigenstates of the Hamiltonian operator, degeneracy of eigenvalues, Node theorem, free particle on the real axis and in a finite domain with periodic boundary conditions. Plane waves, Fourier transforms, and change of representation between canonical conjugate variables.<br>\u00a0-1D Quantum Harmonic oscillator: eigenvalues and eigenstates of the Hamiltonian operators, Hermite polynomials, ground-state energy, and comparison with the classical harmonic oscillator. Creation\/annihilation operators algebra;<br>\u00a0-QM of 2D and 3D systems: separation of variables in Schroedinger equation, angular momentum theory 2D and 3D rigid rotor, Hydrogen atom Hamiltonian and its eigenvalues and eigenstates (Laguerre Polynomials). Pauli Spin and exchange interactions.<br>\u00a0-Approximate methods: Time independent perturbation theory, Stark effect, Variational principle, Selection rules, Time-dependent perturbation theory, Fermi golden rule.<br>The exercise course covers many mathematical demonstrations and applications of the arguments presented in the theoretical course.                    <\/div>\n                <\/li>\n                \n                \n                                <li class=\"list-highlighted__item items-start\">\n                    <header class=\"list-highlighted__header\">\n                        <h5 class=\"text-18\"><strong>Assessment<\/strong><\/h5>\n                    <\/header>\n                    <div class=\"list-highlighted__body\">\n                        The total grade is calculated in the following way<br>TOT = 0.1 x AL + 0.1 x AE + 0.1 x WE + 0.2 x HW + 0.2 x IE + 0.3 x FE<br>AL &#8211; Attendance to Lectures, AE &#8211; Attendance to Exercises, WE \u2013 Work in Exercises, HW \u2013 Home Work, IE \u2013 Intermediate Exam, FE \u2013 Final Exam.<br>The attendance of students will be controlled by teachers. Any absence with an admissible excuse should be reported. Otherwise points are lost.<br>For each aforementioned item, the maximal possible grade is 20.\u00a0 Thus, the maximal possible total grade is also 20. To pass the course, one needs to gain at least 10 points for total grade.\u00a0\u00a0<br>The retake exam is considered as the Final Exam, but with a possibly increased complexity of tasks.                    <\/div>\n                <\/li>\n                \n                                <li class=\"list-highlighted__item items-start\">\n                    <header class=\"list-highlighted__header\">\n                        <h5 class=\"text-18\"><strong>Note<\/strong><\/h5>\n                    <\/header>\n                    <div class=\"list-highlighted__body\">\n                        <p>The bibliography includes:<br>&#8211; Stephen Gasiorowicz, \u201cQuantum Physics\u201d;<br>&#8211; David J. Griffiths and Darrell F. Schroeter, \u201cIntroduction to Quantum Mechanics\u201d;<br>&#8211; J. J. Sakurai, \u201cModern quantum mechanics\u201d;\u00a0<br>&#8211; &#8220;Quantum mechanics and path integrals&#8221;,<br>R. Feynman and A. Hibbs<\/p><br><p>\u00a0<\/p>                    <\/div>\n                <\/li>\n                \n            <\/ul>\n        <\/div>\n    <\/div>\n<\/div>            \n<div class=\"accordion__item\">\n    <h4 class=\"accordion__header\">\n        <button\n                type=\"button\"\n                class=\"accordion__button collapsed\"\n                aria-expanded=\"false\"\n                data-bs-toggle=\"collapse\"\n                data-bs-target=\"#accordion-panel-69d46f0531a09\"\n        >\n            <span class=\"accordion__title\">\n                Advanced lab course (Lab course 3+4)                <span class=\"accordion__data\">\n                    <span class=\"accordion__data__item\">\n                        <span class=\"accordion__data__name\">ECTS credits:<\/span>\n                        <span class=\"accordion__data__value\">\n                            8                        <\/span>\n                    <\/span>\n                    <span class=\"accordion__data__item\">\n                        <span class=\"accordion__data__name\">Course code:<\/span>\n                        <span class=\"accordion__data__value\">\n                            BA_PHYS_GEN-19                        <\/span>\n                    <\/span>\n                <\/span>\n            <\/span>\n            <svg aria-hidden=\"true\" focusable=\"false\" class=\"icon icon-outline icon--arrow-down icon--lg\"><use xlink:href=\"https:\/\/www.uni.lu\/wp-content\/themes\/unilux-theme\/assets\/images\/icons\/icons-outline.svg#icon--arrow-down\"><\/use><\/svg>        <\/button>\n    <\/h4>\n\n    <div id=\"accordion-panel-69d46f0531a09\" class=\"accordion__collapse collapse\" data-bs-parent=\"#accordion-module-69d46f05319ce\">\n        <div class=\"accordion__body p-0\">\n            <ul class=\"list-highlighted\">\n                <li class=\"list-highlighted__item items-start\">\n                    <header class=\"list-highlighted__header\">\n                        <h5 class=\"text-18\"><strong>Details<\/strong><\/h5>\n                    <\/header>\n                    <div class=\"list-highlighted__body\">\n                        <ul>\n                            <li><span class=\"text-dark font-heading font-bold\">Course title:<\/span> Advanced lab course (Lab course 3+4)<\/li>\n                            <li><span class=\"text-dark font-heading font-bold\">Number of ECTS:<\/span> 8<\/li>\n                            <li><span class=\"text-dark font-heading font-bold\">Course code:<\/span> BA_PHYS_GEN-19<\/li>\n                            <li><span class=\"text-dark font-heading font-bold\">Module(s):<\/span> Module 4.2<\/li>\n                            <li><span class=\"text-dark font-heading font-bold\">Language:<\/span> EN<\/li>\n                            <li><span class=\"text-dark font-heading font-bold\">Mandatory:<\/span> Yes<\/li>\n                        <\/ul>\n                    <\/div>\n                <\/li>\n\n                <!--<li class=\"list-highlighted__item items-start\">-->\n                <!--    <header class=\"list-highlighted__header\">-->\n                <!--        <h5 class=\"text-18\"><strong>--><!--<\/strong><\/h5>-->\n                <!--    <\/header>-->\n                <!--    <div class=\"list-highlighted__body\">-->\n                <!--        <div class=\"speaker-group\">-->\n                <!--            -->                <!--        <\/div>-->\n                <!--    <\/div>-->\n                <!--<\/li>-->\n\n                                <li class=\"list-highlighted__item items-start\">\n                    <header class=\"list-highlighted__header\">\n                        <h5 class=\"text-18\"><strong>Objectives<\/strong><\/h5>\n                    <\/header>\n                    <div class=\"list-highlighted__body\">\n                        <p>\n                            The students get to know physical laws and relations by conducting experiments.                        <\/p>\n                    <\/div>\n                <\/li>\n                \n                                <li class=\"list-highlighted__item items-start\">\n                    <header class=\"list-highlighted__header\">\n                        <h5 class=\"text-18\"><strong>Course learning outcomes<\/strong><\/h5>\n                    <\/header>\n                    <div class=\"list-highlighted__body\">\n                        Consolidation of the knowledge gained in the theoretical undergraduate courses.<br>Getting skills in experimental physics.<br>Learning how to deal with experimental errors.<br>Learning how to write scientific reports.<br>Evaluate experimental data with the computer.<br>                    <\/div>\n                <\/li>\n                \n                                <li class=\"list-highlighted__item items-start\">\n                    <header class=\"list-highlighted__header\">\n                        <h5 class=\"text-18\"><strong>Description<\/strong><\/h5>\n                    <\/header>\n                    <div class=\"list-highlighted__body\">\n                        The students work in groups of two or maximum three persons during the experimental sessions. They conduct at least eight physical experiments from the following list:<br> Quantization<br> Heat conductivity<br> X-Rays<br> Crystallography<br> Magnetic properties of atoms (ESR, NMR)<br> Zeeman Effect<br> Thermal Machines<br> Mechanical properties<br> Optical tweezers<br> LASER<br>For each experiment, each group must write a report which is graded.<br>Twice the semester, the students must pass an oral exam.<br>                    <\/div>\n                <\/li>\n                \n                \n                                <li class=\"list-highlighted__item items-start\">\n                    <header class=\"list-highlighted__header\">\n                        <h5 class=\"text-18\"><strong>Assessment<\/strong><\/h5>\n                    <\/header>\n                    <div class=\"list-highlighted__body\">\n                        Continuous evaluation.<br>The final mark consists of\u00a0<br>Evaluation of the conduction of the practical works during the sessions and evaluation of the reports for each experiment (33.3%)<br>Each of the 8 reports must be graded with at least 10\/20 in order to pass the course. The students have the possibility to resubmit improved versions of reports if grading is too low.\u00a0<br>Evaluation of two oral exams during the semester (66.7%)<br>Retake exam is not possible (continuous evaluation).<br>                    <\/div>\n                <\/li>\n                \n                                <li class=\"list-highlighted__item items-start\">\n                    <header class=\"list-highlighted__header\">\n                        <h5 class=\"text-18\"><strong>Note<\/strong><\/h5>\n                    <\/header>\n                    <div class=\"list-highlighted__body\">\n                        Support:<br>Description of the experiments and additional information\/literature made available on the courses\u2019 Moodle page.<br>Literature:<br>Description of the experiments and additional information\/literature made available on the courses Moodle page.<br>                    <\/div>\n                <\/li>\n                \n            <\/ul>\n        <\/div>\n    <\/div>\n<\/div>            \n<div class=\"accordion__item\">\n    <h4 class=\"accordion__header\">\n        <button\n                type=\"button\"\n                class=\"accordion__button collapsed\"\n                aria-expanded=\"false\"\n                data-bs-toggle=\"collapse\"\n                data-bs-target=\"#accordion-panel-69d46f0531a16\"\n        >\n            <span class=\"accordion__title\">\n                Chemistry 2                <span class=\"accordion__data\">\n                    <span class=\"accordion__data__item\">\n                        <span class=\"accordion__data__name\">ECTS credits:<\/span>\n                        <span class=\"accordion__data__value\">\n                            2                        <\/span>\n                    <\/span>\n                    <span class=\"accordion__data__item\">\n                        <span class=\"accordion__data__name\">Course code:<\/span>\n                        <span class=\"accordion__data__value\">\n                            BA_PHYS_GEN-20                        <\/span>\n                    <\/span>\n                <\/span>\n            <\/span>\n            <svg aria-hidden=\"true\" focusable=\"false\" class=\"icon icon-outline icon--arrow-down icon--lg\"><use xlink:href=\"https:\/\/www.uni.lu\/wp-content\/themes\/unilux-theme\/assets\/images\/icons\/icons-outline.svg#icon--arrow-down\"><\/use><\/svg>        <\/button>\n    <\/h4>\n\n    <div id=\"accordion-panel-69d46f0531a16\" class=\"accordion__collapse collapse\" data-bs-parent=\"#accordion-module-69d46f05319ce\">\n        <div class=\"accordion__body p-0\">\n            <ul class=\"list-highlighted\">\n                <li class=\"list-highlighted__item items-start\">\n                    <header class=\"list-highlighted__header\">\n                        <h5 class=\"text-18\"><strong>Details<\/strong><\/h5>\n                    <\/header>\n                    <div class=\"list-highlighted__body\">\n                        <ul>\n                            <li><span class=\"text-dark font-heading font-bold\">Course title:<\/span> Chemistry 2<\/li>\n                            <li><span class=\"text-dark font-heading font-bold\">Number of ECTS:<\/span> 2<\/li>\n                            <li><span class=\"text-dark font-heading font-bold\">Course code:<\/span> BA_PHYS_GEN-20<\/li>\n                            <li><span class=\"text-dark font-heading font-bold\">Module(s):<\/span> Module 4.3<\/li>\n                            <li><span class=\"text-dark font-heading font-bold\">Language:<\/span> EN, DE<\/li>\n                            <li><span class=\"text-dark font-heading font-bold\">Mandatory:<\/span> Yes<\/li>\n                        <\/ul>\n                    <\/div>\n                <\/li>\n\n                <!--<li class=\"list-highlighted__item items-start\">-->\n                <!--    <header class=\"list-highlighted__header\">-->\n                <!--        <h5 class=\"text-18\"><strong>--><!--<\/strong><\/h5>-->\n                <!--    <\/header>-->\n                <!--    <div class=\"list-highlighted__body\">-->\n                <!--        <div class=\"speaker-group\">-->\n                <!--            -->                <!--        <\/div>-->\n                <!--    <\/div>-->\n                <!--<\/li>-->\n\n                                <li class=\"list-highlighted__item items-start\">\n                    <header class=\"list-highlighted__header\">\n                        <h5 class=\"text-18\"><strong>Objectives<\/strong><\/h5>\n                    <\/header>\n                    <div class=\"list-highlighted__body\">\n                        <p>\n                            To make sure that the student knows all the hazards which are possible during the laboratory experiment that they are about to undertake.<br>To make sure that the student understands what to do, and what the experiment is about. Before actually doing the experiment, the student will be tested.<br>Students must make an experimental report of what they have done, observed, and understood. A full description of the objectives is given in the laboratory guide which all students are given at the beginning of the course.<br>(i) To learn how to carry out chemical experiments safely;<br>(ii) learn how to report on chemical experiments;<br>(iii) understand and carry out standard chemical experiments; (iv) introduce standard chemical procedures.<br>                        <\/p>\n                    <\/div>\n                <\/li>\n                \n                                <li class=\"list-highlighted__item items-start\">\n                    <header class=\"list-highlighted__header\">\n                        <h5 class=\"text-18\"><strong>Course learning outcomes<\/strong><\/h5>\n                    <\/header>\n                    <div class=\"list-highlighted__body\">\n                        A student who successfully completes this course as instructed will be able to (i) research and assess the safety of the experiment that they are about to carry out (ii) write a scientific report including relevant abstract, introduction, method, results, conclusion and bibliography respecting plagiarism rules (iii) use a weighing balance, pipette, various solution manipulations, thin layer chromatography, UV-VIS and IR spectroscopy amongst others (iv) quantify the concentration of a known chemical, assess the speed of a reaction, carry out an organic work up and be able to separate two compounds dissolved in the same solution.                    <\/div>\n                <\/li>\n                \n                                <li class=\"list-highlighted__item items-start\">\n                    <header class=\"list-highlighted__header\">\n                        <h5 class=\"text-18\"><strong>Description<\/strong><\/h5>\n                    <\/header>\n                    <div class=\"list-highlighted__body\">\n                        <p><\/p>There are five experiments carried out over six weeks.<br>Before every experiment there is a preparation lecture.<br>The five experiments are (1) acid \u2013 base titration (2) calibration curve for unknown concentration (3) organic experiment kinetics (4) organic acidic workup (5) chromatography. After the experiment\u00a0<br>                    <\/div>\n                <\/li>\n                \n                \n                                <li class=\"list-highlighted__item items-start\">\n                    <header class=\"list-highlighted__header\">\n                        <h5 class=\"text-18\"><strong>Assessment<\/strong><\/h5>\n                    <\/header>\n                    <div class=\"list-highlighted__body\">\n                        Class attendance is mandatory. A student may be excused, and a session rescheduled, only upon presentation of a medical certificate submitted within three days of the absence.<br>First session<br>Before each experiment, students must complete two quizzes on Moodle. Failure to do so will result in exclusion from the laboratory session and they will not be permitted to perform the experiment.<br>After each experiment, students must answer the written proforma questions related to the experiment just completed. They then have two weeks to submit their report.<br>The final grade is calculated as the weighted average of the scores obtained from the five written proforma tests, the five laboratory reports, and the final exam (approximately 30 minutes in the chemistry laboratory). The final exam assesses the student\u2019s safety and ability in the laboratory, based on the training that they have received.<br>Retake exam\u00a0<br><br>Absence plan\u00a0<br>Only for<br>Continuous evaluation<br>Combined evaluation (final exam and continuous evaluation)<br>Students who fail to submit their report by the given deadline will receive a score of zero. An extension may be granted only upon presentation of a valid medical certificate, which must be submitted before the deadline.<br>Students who do not attend the exam will receive a score of zero. Rescheduling of the exam is possible only upon presentation of a medical certificate submitted before the deadline.<br><br>1.If justified absent during midterms, an &#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;-.<br>2.If justified absence during the written exam, an &#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;-.<br>                    <\/div>\n                <\/li>\n                \n                                <li class=\"list-highlighted__item items-start\">\n                    <header class=\"list-highlighted__header\">\n                        <h5 class=\"text-18\"><strong>Note<\/strong><\/h5>\n                    <\/header>\n                    <div class=\"list-highlighted__body\">\n                        A lab guideline book will be given to each student. Own research is required<br>                    <\/div>\n                <\/li>\n                \n            <\/ul>\n        <\/div>\n    <\/div>\n<\/div>            \n<div class=\"accordion__item\">\n    <h4 class=\"accordion__header\">\n        <button\n                type=\"button\"\n                class=\"accordion__button collapsed\"\n                aria-expanded=\"false\"\n                data-bs-toggle=\"collapse\"\n                data-bs-target=\"#accordion-panel-69d46f0531a22\"\n        >\n            <span class=\"accordion__title\">\n                Introduction to Biological Physics                <span class=\"accordion__data\">\n                    <span class=\"accordion__data__item\">\n                        <span class=\"accordion__data__name\">ECTS credits:<\/span>\n                        <span class=\"accordion__data__value\">\n                            4                        <\/span>\n                    <\/span>\n                    <span class=\"accordion__data__item\">\n                        <span class=\"accordion__data__name\">Course code:<\/span>\n                        <span class=\"accordion__data__value\">\n                            BA_PHYS_GEN-43                        <\/span>\n                    <\/span>\n                <\/span>\n            <\/span>\n            <svg aria-hidden=\"true\" focusable=\"false\" class=\"icon icon-outline icon--arrow-down icon--lg\"><use xlink:href=\"https:\/\/www.uni.lu\/wp-content\/themes\/unilux-theme\/assets\/images\/icons\/icons-outline.svg#icon--arrow-down\"><\/use><\/svg>        <\/button>\n    <\/h4>\n\n    <div id=\"accordion-panel-69d46f0531a22\" class=\"accordion__collapse collapse\" data-bs-parent=\"#accordion-module-69d46f05319ce\">\n        <div class=\"accordion__body p-0\">\n            <ul class=\"list-highlighted\">\n                <li class=\"list-highlighted__item items-start\">\n                    <header class=\"list-highlighted__header\">\n                        <h5 class=\"text-18\"><strong>Details<\/strong><\/h5>\n                    <\/header>\n                    <div class=\"list-highlighted__body\">\n                        <ul>\n                            <li><span class=\"text-dark font-heading font-bold\">Course title:<\/span> Introduction to Biological Physics<\/li>\n                            <li><span class=\"text-dark font-heading font-bold\">Number of ECTS:<\/span> 4<\/li>\n                            <li><span class=\"text-dark font-heading font-bold\">Course code:<\/span> BA_PHYS_GEN-43<\/li>\n                            <li><span class=\"text-dark font-heading font-bold\">Module(s):<\/span> Module 4.3<\/li>\n                            <li><span class=\"text-dark font-heading font-bold\">Language:<\/span> <\/li>\n                            <li><span class=\"text-dark font-heading font-bold\">Mandatory:<\/span> Yes<\/li>\n                        <\/ul>\n                    <\/div>\n                <\/li>\n\n                <!--<li class=\"list-highlighted__item items-start\">-->\n                <!--    <header class=\"list-highlighted__header\">-->\n                <!--        <h5 class=\"text-18\"><strong>--><!--<\/strong><\/h5>-->\n                <!--    <\/header>-->\n                <!--    <div class=\"list-highlighted__body\">-->\n                <!--        <div class=\"speaker-group\">-->\n                <!--            -->                <!--        <\/div>-->\n                <!--    <\/div>-->\n                <!--<\/li>-->\n\n                \n                                <li class=\"list-highlighted__item items-start\">\n                    <header class=\"list-highlighted__header\">\n                        <h5 class=\"text-18\"><strong>Course learning outcomes<\/strong><\/h5>\n                    <\/header>\n                    <div class=\"list-highlighted__body\">\n                        Upon successful completion of the course, a student will have fundamental understanding of the topics covered during the course, including but not limited to:<br>&#8211; basic units of life and cellular complexity<br>&#8211; structure, dynamics and functions of units of life\u00a0<br>&#8211; mechanistic understanding of biological units leading to systems and processes\u00a0<br>&#8211; understanding biological systems using physical models (examples)<br>&#8211; hierarchical and emergent organization of living systems<br>                    <\/div>\n                <\/li>\n                \n                                <li class=\"list-highlighted__item items-start\">\n                    <header class=\"list-highlighted__header\">\n                        <h5 class=\"text-18\"><strong>Description<\/strong><\/h5>\n                    <\/header>\n                    <div class=\"list-highlighted__body\">\n                        We are living in the \u201cAge of Biology\u201d, where quantitative approaches from Physics are playing an increasingly crucial role in decoding the intricacies of biological systems and their diversity of structure, dynamics and functions. This course will provide an introduction to the field of Biological Physics, and equip students to study biological systems and processes using basic tools and techniques from the domain of Physics.                    <\/div>\n                <\/li>\n                \n                \n                                <li class=\"list-highlighted__item items-start\">\n                    <header class=\"list-highlighted__header\">\n                        <h5 class=\"text-18\"><strong>Assessment<\/strong><\/h5>\n                    <\/header>\n                    <div class=\"list-highlighted__body\">\n                        <p><br>Continuous evaluation: <\/p><br><p><\/p><br><p>On each tutorial session, the students take a quiz based on the topics covered during the lectures preceeding the tutorials. The students will have 5 such quizes over the course of the semester. The performance in the quizes will account for 80% of the final score in the semester.<\/p><br><p>At the end of the semester, the students will do a presentation (in groups of 2-3): this will account for 20% to the final score.<br><\/p><br><p><br><br><br><\/p>                    <\/div>\n                <\/li>\n                \n                                <li class=\"list-highlighted__item items-start\">\n                    <header class=\"list-highlighted__header\">\n                        <h5 class=\"text-18\"><strong>Note<\/strong><\/h5>\n                    <\/header>\n                    <div class=\"list-highlighted__body\">\n                        No specific textbook will be followed, though for each topic relevant references will be suggested. Students are encouraged to take lecture notes; in some cases printed reading materials will be distributed during the lectures. Students can optionally follow Physical Biology of the Cell by Phillips, Kondev, Theriot and Garcia (ISBN: 0815344503).<br>                    <\/div>\n                <\/li>\n                \n            <\/ul>\n        <\/div>\n    <\/div>\n<\/div>            \n<div class=\"accordion__item\">\n    <h4 class=\"accordion__header\">\n        <button\n                type=\"button\"\n                class=\"accordion__button collapsed\"\n                aria-expanded=\"false\"\n                data-bs-toggle=\"collapse\"\n                data-bs-target=\"#accordion-panel-69d46f0531a2d\"\n        >\n            <span class=\"accordion__title\">\n                Didactics for Physics 2                <span class=\"accordion__data\">\n                    <span class=\"accordion__data__item\">\n                        <span class=\"accordion__data__name\">ECTS credits:<\/span>\n                        <span class=\"accordion__data__value\">\n                            3                        <\/span>\n                    <\/span>\n                    <span class=\"accordion__data__item\">\n                        <span class=\"accordion__data__name\">Course code:<\/span>\n                        <span class=\"accordion__data__value\">\n                            BA_PHYS_GEN-26                        <\/span>\n                    <\/span>\n                <\/span>\n            <\/span>\n            <svg aria-hidden=\"true\" focusable=\"false\" class=\"icon icon-outline icon--arrow-down icon--lg\"><use xlink:href=\"https:\/\/www.uni.lu\/wp-content\/themes\/unilux-theme\/assets\/images\/icons\/icons-outline.svg#icon--arrow-down\"><\/use><\/svg>        <\/button>\n    <\/h4>\n\n    <div id=\"accordion-panel-69d46f0531a2d\" class=\"accordion__collapse collapse\" data-bs-parent=\"#accordion-module-69d46f05319ce\">\n        <div class=\"accordion__body p-0\">\n            <ul class=\"list-highlighted\">\n                <li class=\"list-highlighted__item items-start\">\n                    <header class=\"list-highlighted__header\">\n                        <h5 class=\"text-18\"><strong>Details<\/strong><\/h5>\n                    <\/header>\n                    <div class=\"list-highlighted__body\">\n                        <ul>\n                            <li><span class=\"text-dark font-heading font-bold\">Course title:<\/span> Didactics for Physics 2<\/li>\n                            <li><span class=\"text-dark font-heading font-bold\">Number of ECTS:<\/span> 3<\/li>\n                            <li><span class=\"text-dark font-heading font-bold\">Course code:<\/span> BA_PHYS_GEN-26<\/li>\n                            <li><span class=\"text-dark font-heading font-bold\">Module(s):<\/span> Module options 4.4  (10 ECTS required to close the module) <\/li>\n                            <li><span class=\"text-dark font-heading font-bold\">Language:<\/span> EN<\/li>\n                            <li><span class=\"text-dark font-heading font-bold\">Mandatory:<\/span> No<\/li>\n                        <\/ul>\n                    <\/div>\n                <\/li>\n\n                <!--<li class=\"list-highlighted__item items-start\">-->\n                <!--    <header class=\"list-highlighted__header\">-->\n                <!--        <h5 class=\"text-18\"><strong>--><!--<\/strong><\/h5>-->\n                <!--    <\/header>-->\n                <!--    <div class=\"list-highlighted__body\">-->\n                <!--        <div class=\"speaker-group\">-->\n                <!--            -->                <!--        <\/div>-->\n                <!--    <\/div>-->\n                <!--<\/li>-->\n\n                                <li class=\"list-highlighted__item items-start\">\n                    <header class=\"list-highlighted__header\">\n                        <h5 class=\"text-18\"><strong>Objectives<\/strong><\/h5>\n                    <\/header>\n                    <div class=\"list-highlighted__body\">\n                        <p>\n                            <ul><br><li>d\u00e9couvrir la richesse de l&#8217;enseignement de la physique<\/li><br><li>planifier et vivre des situations de TP en classe<\/li><br><li>exp\u00e9rimenter diff\u00e9rentes m\u00e9thodes modernes d&#8217;enseignement<\/li><br><li>analyser ses propres performances pour mieux s&#8217;orienter dans son choix professionnel<\/li><br><li>\u00e9valuer la performance des \u00e9l\u00e8ves<\/li><br><li>comprendre l&#8217;enseignement de la physique au secondaire et secondaire technique<\/li><br><\/ul>                        <\/p>\n                    <\/div>\n                <\/li>\n                \n                                <li class=\"list-highlighted__item items-start\">\n                    <header class=\"list-highlighted__header\">\n                        <h5 class=\"text-18\"><strong>Course learning outcomes<\/strong><\/h5>\n                    <\/header>\n                    <div class=\"list-highlighted__body\">\n                        Conna\u00eetre les multiples facettes de l&#8217;apprentissage et de l&#8217;enseignement de la physique et les d\u00e9fis pos\u00e9s \u00e0 l&#8217;enseignant.                    <\/div>\n                <\/li>\n                \n                \n                \n                                <li class=\"list-highlighted__item items-start\">\n                    <header class=\"list-highlighted__header\">\n                        <h5 class=\"text-18\"><strong>Assessment<\/strong><\/h5>\n                    <\/header>\n                    <div class=\"list-highlighted__body\">\n                        Engagement r\u00e9gulier, \u00e9laboration d&#8217;un portfolio personnel (pi\u00e8ces cr\u00e9\u00e9es \u00e0 partir des \u00e9l\u00e9ments trait\u00e9s en cours), pr\u00e9sentation du portfolio                    <\/div>\n                <\/li>\n                \n                                <li class=\"list-highlighted__item items-start\">\n                    <header class=\"list-highlighted__header\">\n                        <h5 class=\"text-18\"><strong>Note<\/strong><\/h5>\n                    <\/header>\n                    <div class=\"list-highlighted__body\">\n                        Notes de cours<br>G. de Vecchi, L&#8217;enseignement scientifique, Delagrave, 2002, ISBN: 2-206-08471-6<br>H. Gudjons, Handlungsorientiert lehren und lernen, Klinkhardt, 2008, 2008, ISBN: 978-3-7815-1625-0<br>Kirchner Girwidz H\u00e4u\u00dfler, Physikdidaktik, Springer, 2001, ISBN: 3-540-41936-5<br>H. Klippert, Methodentraining, Beltz 2005, ISBN: 3-407-62545-6<br>A.B. Arons Teaching Introductory Physics, Wiley, 1996, ISBN: 978-04711-37078<br>M. Reiss Understanding Science Lessons, Open University Press, 2001, ISBN: 978-0335-197699<br>H.K. Mikalsis (Hrsg.) Physik Didaktik, Cornelsen Scriptor, 2006, ISBN: 378-3589221486                    <\/div>\n                <\/li>\n                \n            <\/ul>\n        <\/div>\n    <\/div>\n<\/div>            \n<div class=\"accordion__item\">\n    <h4 class=\"accordion__header\">\n        <button\n                type=\"button\"\n                class=\"accordion__button collapsed\"\n                aria-expanded=\"false\"\n                data-bs-toggle=\"collapse\"\n                data-bs-target=\"#accordion-panel-69d46f0531a39\"\n        >\n            <span class=\"accordion__title\">\n                Introduction to Geophysics: Learning to think like a scientist                <span class=\"accordion__data\">\n                    <span class=\"accordion__data__item\">\n                        <span class=\"accordion__data__name\">ECTS credits:<\/span>\n                        <span class=\"accordion__data__value\">\n                            2                        <\/span>\n                    <\/span>\n                    <span class=\"accordion__data__item\">\n                        <span class=\"accordion__data__name\">Course code:<\/span>\n                        <span class=\"accordion__data__value\">\n                            BA_PHYS_GEN-42                        <\/span>\n                    <\/span>\n                <\/span>\n            <\/span>\n            <svg aria-hidden=\"true\" focusable=\"false\" class=\"icon icon-outline icon--arrow-down icon--lg\"><use xlink:href=\"https:\/\/www.uni.lu\/wp-content\/themes\/unilux-theme\/assets\/images\/icons\/icons-outline.svg#icon--arrow-down\"><\/use><\/svg>        <\/button>\n    <\/h4>\n\n    <div id=\"accordion-panel-69d46f0531a39\" class=\"accordion__collapse collapse\" data-bs-parent=\"#accordion-module-69d46f05319ce\">\n        <div class=\"accordion__body p-0\">\n            <ul class=\"list-highlighted\">\n                <li class=\"list-highlighted__item items-start\">\n                    <header class=\"list-highlighted__header\">\n                        <h5 class=\"text-18\"><strong>Details<\/strong><\/h5>\n                    <\/header>\n                    <div class=\"list-highlighted__body\">\n                        <ul>\n                            <li><span class=\"text-dark font-heading font-bold\">Course title:<\/span> Introduction to Geophysics: Learning to think like a scientist<\/li>\n                            <li><span class=\"text-dark font-heading font-bold\">Number of ECTS:<\/span> 2<\/li>\n                            <li><span class=\"text-dark font-heading font-bold\">Course code:<\/span> BA_PHYS_GEN-42<\/li>\n                            <li><span class=\"text-dark font-heading font-bold\">Module(s):<\/span> Module options 4.4  (10 ECTS required to close the module) <\/li>\n                            <li><span class=\"text-dark font-heading font-bold\">Language:<\/span> <\/li>\n                            <li><span class=\"text-dark font-heading font-bold\">Mandatory:<\/span> No<\/li>\n                        <\/ul>\n                    <\/div>\n                <\/li>\n\n                <!--<li class=\"list-highlighted__item items-start\">-->\n                <!--    <header class=\"list-highlighted__header\">-->\n                <!--        <h5 class=\"text-18\"><strong>--><!--<\/strong><\/h5>-->\n                <!--    <\/header>-->\n                <!--    <div class=\"list-highlighted__body\">-->\n                <!--        <div class=\"speaker-group\">-->\n                <!--            -->                <!--        <\/div>-->\n                <!--    <\/div>-->\n                <!--<\/li>-->\n\n                                <li class=\"list-highlighted__item items-start\">\n                    <header class=\"list-highlighted__header\">\n                        <h5 class=\"text-18\"><strong>Objectives<\/strong><\/h5>\n                    <\/header>\n                    <div class=\"list-highlighted__body\">\n                        <p>\n                            The module will develop your understanding of Earth. We will use MATLAB to explore the different types of geophysical data to understand the physical properties of the Earth. Students will learn how<br>Search the Web for different types of geophysical data<br>Use MATLAB for data analysis<br>Create 2D plots of time series data<br>Understand the mean, scatter, and trend of geophysical time series<br>Fit seasonal signals and calculate residuals<br>Use geophysical data to measure plate tectonic velocities and estimate natural hazards<br>Plot and interpret the pattern of seismicity globally in terms of plate tectonics<br>Determine their location on Earth using GNSS<br>Understand mass changes on Earth from satellite gravity observations.                        <\/p>\n                    <\/div>\n                <\/li>\n                \n                                <li class=\"list-highlighted__item items-start\">\n                    <header class=\"list-highlighted__header\">\n                        <h5 class=\"text-18\"><strong>Course learning outcomes<\/strong><\/h5>\n                    <\/header>\n                    <div class=\"list-highlighted__body\">\n                        Students that successfully complete this course will be able:<br>To understand why the Earth looks like it does<br>To understand why earthquakes and volcanoes occur where they do<br>To understand how to use GNSS to measure plate velocities<br>To understand how GNSS and satellite gravity can tell us about Earth                    <\/div>\n                <\/li>\n                \n                                <li class=\"list-highlighted__item items-start\">\n                    <header class=\"list-highlighted__header\">\n                        <h5 class=\"text-18\"><strong>Description<\/strong><\/h5>\n                    <\/header>\n                    <div class=\"list-highlighted__body\">\n                        Class Outline: Questions to Explore<br> How do geophysicists approach problem-solving and analysis?<br> What is the step-by-step process of the scientific method in geophysics?<br> What roles and tasks are undertaken by geophysicists in their field?<br> In what ways can MATLAB be effectively used to enhance our understanding of Earth&#8217;s dynamics?<br> What fundamental principles define plate tectonics and its role in shaping the Earth&#8217;s surface?<br> Why do seismic activities like earthquakes and volcanic eruptions occur in specific geographical locations?<br> What is the significance of satellite geodesy in geophysical research, and how does it contribute to our understanding of Earth?<br> How does GNSS play a key role in investigating seismic hazards, and what insights can be gained from such studies?<br> Distinguish between absolute gravity and relative gravity, and understand their respective applications in geophysics.<br> Explore the methodologies involved in measuring mass changes from space and the reasons behind these measurements.<br> What is optical imaging, and how does it serve as a tool for comprehending Earth&#8217;s processes and features?<br> What key components constitute the water cycle, and how does it influence various Earth processes and ecosystems?                    <\/div>\n                <\/li>\n                \n                \n                                <li class=\"list-highlighted__item items-start\">\n                    <header class=\"list-highlighted__header\">\n                        <h5 class=\"text-18\"><strong>Assessment<\/strong><\/h5>\n                    <\/header>\n                    <div class=\"list-highlighted__body\">\n                        Task 1: Written exam during exam session (45%)<br>Task 2: Home-Assignment and Project (45%)<br>Assessment Rules: Submission of reports via Moodle within the stipulated timeframe.<br>Assessment Criteria: Graded out of 20 for each exercise, assessing depth of understanding, application of concepts, and overall quality of work.<br>Task3: Participation (10%)<br>Assessment Rules: Active and constructive engagement in class activities, discussions, and collaborative projects.<br>Assessment Criteria: Evaluation based on the frequency and quality of contributions, demonstrating a commitment to the learning process.<br>                    <\/div>\n                <\/li>\n                \n                                <li class=\"list-highlighted__item items-start\">\n                    <header class=\"list-highlighted__header\">\n                        <h5 class=\"text-18\"><strong>Note<\/strong><\/h5>\n                    <\/header>\n                    <div class=\"list-highlighted__body\">\n                        To be defined in the lecture as required.                    <\/div>\n                <\/li>\n                \n            <\/ul>\n        <\/div>\n    <\/div>\n<\/div>            \n<div class=\"accordion__item\">\n    <h4 class=\"accordion__header\">\n        <button\n                type=\"button\"\n                class=\"accordion__button collapsed\"\n                aria-expanded=\"false\"\n                data-bs-toggle=\"collapse\"\n                data-bs-target=\"#accordion-panel-69d46f0531a44\"\n        >\n            <span class=\"accordion__title\">\n                Probabilit\u00e9s et statistique appliqu\u00e9e pour ing\u00e9nieurs et physiciens 2                <span class=\"accordion__data\">\n                    <span class=\"accordion__data__item\">\n                        <span class=\"accordion__data__name\">ECTS credits:<\/span>\n                        <span class=\"accordion__data__value\">\n                            3                        <\/span>\n                    <\/span>\n                    <span class=\"accordion__data__item\">\n                        <span class=\"accordion__data__name\">Course code:<\/span>\n                        <span class=\"accordion__data__value\">\n                            BA_PHYS_GEN-25                        <\/span>\n                    <\/span>\n                <\/span>\n            <\/span>\n            <svg aria-hidden=\"true\" focusable=\"false\" class=\"icon icon-outline icon--arrow-down icon--lg\"><use xlink:href=\"https:\/\/www.uni.lu\/wp-content\/themes\/unilux-theme\/assets\/images\/icons\/icons-outline.svg#icon--arrow-down\"><\/use><\/svg>        <\/button>\n    <\/h4>\n\n    <div id=\"accordion-panel-69d46f0531a44\" class=\"accordion__collapse collapse\" data-bs-parent=\"#accordion-module-69d46f05319ce\">\n        <div class=\"accordion__body p-0\">\n            <ul class=\"list-highlighted\">\n                <li class=\"list-highlighted__item items-start\">\n                    <header class=\"list-highlighted__header\">\n                        <h5 class=\"text-18\"><strong>Details<\/strong><\/h5>\n                    <\/header>\n                    <div class=\"list-highlighted__body\">\n                        <ul>\n                            <li><span class=\"text-dark font-heading font-bold\">Course title:<\/span> Probabilit\u00e9s et statistique appliqu\u00e9e pour ing\u00e9nieurs et physiciens 2<\/li>\n                            <li><span class=\"text-dark font-heading font-bold\">Number of ECTS:<\/span> 3<\/li>\n                            <li><span class=\"text-dark font-heading font-bold\">Course code:<\/span> BA_PHYS_GEN-25<\/li>\n                            <li><span class=\"text-dark font-heading font-bold\">Module(s):<\/span> Module options 4.4  (10 ECTS required to close the module) <\/li>\n                            <li><span class=\"text-dark font-heading font-bold\">Language:<\/span> EN<\/li>\n                            <li><span class=\"text-dark font-heading font-bold\">Mandatory:<\/span> No<\/li>\n                        <\/ul>\n                    <\/div>\n                <\/li>\n\n                <!--<li class=\"list-highlighted__item items-start\">-->\n                <!--    <header class=\"list-highlighted__header\">-->\n                <!--        <h5 class=\"text-18\"><strong>--><!--<\/strong><\/h5>-->\n                <!--    <\/header>-->\n                <!--    <div class=\"list-highlighted__body\">-->\n                <!--        <div class=\"speaker-group\">-->\n                <!--            -->                <!--        <\/div>-->\n                <!--    <\/div>-->\n                <!--<\/li>-->\n\n                                <li class=\"list-highlighted__item items-start\">\n                    <header class=\"list-highlighted__header\">\n                        <h5 class=\"text-18\"><strong>Objectives<\/strong><\/h5>\n                    <\/header>\n                    <div class=\"list-highlighted__body\">\n                        <p>\n                            <p>The course is meant to present some advanced topics of probability theory, such as laws of large numbers and central limit theorems, and to illustrate them through several concrete examples. The instructor will then apply these notions in order to introduce and develop some basic concepts of statistical inference.\u00a0\u00a0<\/p><br><p>Le cours vise \u00e0 pr\u00e9senter quelques sujets avanc\u00e9s de la th\u00e9orie des probabilit\u00e9s, tels que les lois des grands nombres et les th\u00e9or\u00e8mes centraux limites, et \u00e0 les illustrer \u00e0 travers plusieurs exemples concrets. On appliquera ensuite ces outils afin d&#8217;introduire et de d\u00e9velopper quelques notions de base de l&#8217;inf\u00e9rence statistique.<br><\/p>                        <\/p>\n                    <\/div>\n                <\/li>\n                \n                                <li class=\"list-highlighted__item items-start\">\n                    <header class=\"list-highlighted__header\">\n                        <h5 class=\"text-18\"><strong>Course learning outcomes<\/strong><\/h5>\n                    <\/header>\n                    <div class=\"list-highlighted__body\">\n                        At the end of the course, the student will (i) understand the significance and use of probabilistic limit theorems (law of large numbers, central limit theorem); (ii) be able to apply the limit theorems at Point (i) to a number of concrete examples; (iii) understand and be able to apply the basic concepts of statistics, such as parameter estimation, confidence intervals and hypotheses testing.\u00a0<br><br><br><br>A l&#8217;issue du cours, l&#8217;\u00e9tudiant (i) aura compris la signification et l&#8217;utilisation des th\u00e9or\u00e8mes probabilistes limites (loi des grands nombres, th\u00e9or\u00e8me central limite) ; (ii) sera capable d&#8217;appliquer les th\u00e9or\u00e8mes limites du point (i) \u00e0 un certain nombre d&#8217;exemples concrets ; (iii) comprendra et sera capable d&#8217;appliquer les concepts de base des statistiques, tels que l&#8217;estimation des param\u00e8tres, les intervalles de confiance et les tests d&#8217;hypoth\u00e8ses.<br>                    <\/div>\n                <\/li>\n                \n                                <li class=\"list-highlighted__item items-start\">\n                    <header class=\"list-highlighted__header\">\n                        <h5 class=\"text-18\"><strong>Description<\/strong><\/h5>\n                    <\/header>\n                    <div class=\"list-highlighted__body\">\n                        After having reviewed some foundational notions (discrete and continuous random variables, densities, distribution functions, moment computation) the course will introduce the student to some advanced topics in probability theory, connected, in particular, to laws of large numbers and central limit theorems. In the second part of the lectures, several fundamental notions of statistical inference will be defined and illustrated through a number of examples.                    <\/div>\n                <\/li>\n                \n                \n                                <li class=\"list-highlighted__item items-start\">\n                    <header class=\"list-highlighted__header\">\n                        <h5 class=\"text-18\"><strong>Assessment<\/strong><\/h5>\n                    <\/header>\n                    <div class=\"list-highlighted__body\">\n                        <p>Written exam<\/p><br><p>\u00a0<\/p><br><p>Examen \u00e9crit<\/p>                    <\/div>\n                <\/li>\n                \n                                <li class=\"list-highlighted__item items-start\">\n                    <header class=\"list-highlighted__header\">\n                        <h5 class=\"text-18\"><strong>Note<\/strong><\/h5>\n                    <\/header>\n                    <div class=\"list-highlighted__body\">\n                        Lecture notes prepared by the instructor.<br><br><br><br><br>Notes de cours.<br><br>                    <\/div>\n                <\/li>\n                \n            <\/ul>\n        <\/div>\n    <\/div>\n<\/div>            \n<div class=\"accordion__item\">\n    <h4 class=\"accordion__header\">\n        <button\n                type=\"button\"\n                class=\"accordion__button collapsed\"\n                aria-expanded=\"false\"\n                data-bs-toggle=\"collapse\"\n                data-bs-target=\"#accordion-panel-69d46f0531a50\"\n        >\n            <span class=\"accordion__title\">\n                Data Science and Machine Learning in Physics                <span class=\"accordion__data\">\n                    <span class=\"accordion__data__item\">\n                        <span class=\"accordion__data__name\">ECTS credits:<\/span>\n                        <span class=\"accordion__data__value\">\n                            3                        <\/span>\n                    <\/span>\n                    <span class=\"accordion__data__item\">\n                        <span class=\"accordion__data__name\">Course code:<\/span>\n                        <span class=\"accordion__data__value\">\n                            BA_PHYS_GEN-24                        <\/span>\n                    <\/span>\n                <\/span>\n            <\/span>\n            <svg aria-hidden=\"true\" focusable=\"false\" class=\"icon icon-outline icon--arrow-down icon--lg\"><use xlink:href=\"https:\/\/www.uni.lu\/wp-content\/themes\/unilux-theme\/assets\/images\/icons\/icons-outline.svg#icon--arrow-down\"><\/use><\/svg>        <\/button>\n    <\/h4>\n\n    <div id=\"accordion-panel-69d46f0531a50\" class=\"accordion__collapse collapse\" data-bs-parent=\"#accordion-module-69d46f05319ce\">\n        <div class=\"accordion__body p-0\">\n            <ul class=\"list-highlighted\">\n                <li class=\"list-highlighted__item items-start\">\n                    <header class=\"list-highlighted__header\">\n                        <h5 class=\"text-18\"><strong>Details<\/strong><\/h5>\n                    <\/header>\n                    <div class=\"list-highlighted__body\">\n                        <ul>\n                            <li><span class=\"text-dark font-heading font-bold\">Course title:<\/span> Data Science and Machine Learning in Physics<\/li>\n                            <li><span class=\"text-dark font-heading font-bold\">Number of ECTS:<\/span> 3<\/li>\n                            <li><span class=\"text-dark font-heading font-bold\">Course code:<\/span> BA_PHYS_GEN-24<\/li>\n                            <li><span class=\"text-dark font-heading font-bold\">Module(s):<\/span> Module options 4.4  (10 ECTS required to close the module) <\/li>\n                            <li><span class=\"text-dark font-heading font-bold\">Language:<\/span> <\/li>\n                            <li><span class=\"text-dark font-heading font-bold\">Mandatory:<\/span> No<\/li>\n                        <\/ul>\n                    <\/div>\n                <\/li>\n\n                <!--<li class=\"list-highlighted__item items-start\">-->\n                <!--    <header class=\"list-highlighted__header\">-->\n                <!--        <h5 class=\"text-18\"><strong>--><!--<\/strong><\/h5>-->\n                <!--    <\/header>-->\n                <!--    <div class=\"list-highlighted__body\">-->\n                <!--        <div class=\"speaker-group\">-->\n                <!--            -->                <!--        <\/div>-->\n                <!--    <\/div>-->\n                <!--<\/li>-->\n\n                                <li class=\"list-highlighted__item items-start\">\n                    <header class=\"list-highlighted__header\">\n                        <h5 class=\"text-18\"><strong>Objectives<\/strong><\/h5>\n                    <\/header>\n                    <div class=\"list-highlighted__body\">\n                        <p>\n                            A student should be able to:<br>\u00a0<br>&#8211; Design and query a database<br>&#8211; Smooth and feature-extract data using filters in direct and Fourier space<br>&#8211; Extract features from high-dimensional data using Principal Components Analysis<br>&#8211; Identify structures in data by clustering<br>&#8211; Write down a Bayesian belief network<br>&#8211; Design and train a perceptron\u00a0 for a classification task<br>&#8211; Demonstrate an understanding of self-organisation during the training process<br>&#8211; Demonstrate an understanding of error propagation in a deep learning engine<br>&#8211; Apply kernel machines to train non-linear maps<br>\u00a0                        <\/p>\n                    <\/div>\n                <\/li>\n                \n                                <li class=\"list-highlighted__item items-start\">\n                    <header class=\"list-highlighted__header\">\n                        <h5 class=\"text-18\"><strong>Course learning outcomes<\/strong><\/h5>\n                    <\/header>\n                    <div class=\"list-highlighted__body\">\n                        \u00a0<br>Learning outcomes<br>&#8211; Understand numerical data as defining a family of structures in spaces<br>&#8211; Understand soft, probabilistic and bio-mimetic reasoning methods<br>&#8211; Understand approximation of probability distributions by nonlinear models<br>\u00a0                    <\/div>\n                <\/li>\n                \n                                <li class=\"list-highlighted__item items-start\">\n                    <header class=\"list-highlighted__header\">\n                        <h5 class=\"text-18\"><strong>Description<\/strong><\/h5>\n                    <\/header>\n                    <div class=\"list-highlighted__body\">\n                        \u00a0Data science is looking for patterns in large data sets.<br>Machine learning is developing or fitting nonlinear models of many parameters (which may require large data sets).<br>\u00a0<br>Feature discovery:<br>\u00a0 \u00a0 &#8211; Fourier analysis &amp; filters :\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 1 lesson<br>\u00a0 \u00a0 &#8211; Principal Components Analysis:\u00a0 1 lesson<br>\u00a0 \u00a0 \u00a0&#8211; Clustering algorithms:\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a02 lessons<br>Machine Learning:<br>\u00a0 \u00a0 &#8211; Multilayer neural networks :\u00a0 \u00a0 \u00a0 \u00a02 lessons<br>Statistical Modelling:<br>\u00a0 \u00a0 &#8211; Bayes\u2019 rule:\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a01 lesson<br>\u00a0 \u00a0 &#8211; Properties of distributions:\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 2 lessons<br>\u00a0 \u00a0 &#8211; Probabilistic logic and contingency: 2 lessons<br>\u00a0                    <\/div>\n                <\/li>\n                \n                \n                                <li class=\"list-highlighted__item items-start\">\n                    <header class=\"list-highlighted__header\">\n                        <h5 class=\"text-18\"><strong>Assessment<\/strong><\/h5>\n                    <\/header>\n                    <div class=\"list-highlighted__body\">\n                        Continuous<br>Weekly tasks are given out and assessed.\u00a0 Tasks will include python programming assignments, preparation and discussion of plots and graphs, and writing of derivations.<br>                    <\/div>\n                <\/li>\n                \n                                <li class=\"list-highlighted__item items-start\">\n                    <header class=\"list-highlighted__header\">\n                        <h5 class=\"text-18\"><strong>Note<\/strong><\/h5>\n                    <\/header>\n                    <div class=\"list-highlighted__body\">\n                        \u00a0<br>https:\/\/en.wikipedia.org\/wiki\/Dimensionality_reduction<br>\u00a0<br>https:\/\/en.wikipedia.org\/wiki\/Cluster_analysis<br>\u00a0<br>https:\/\/www.cs.toronto.edu\/~hinton\/absps\/NatureDeepReview.pdf<br>\u00a0                    <\/div>\n                <\/li>\n                \n            <\/ul>\n        <\/div>\n    <\/div>\n<\/div>            \n<div class=\"accordion__item\">\n    <h4 class=\"accordion__header\">\n        <button\n                type=\"button\"\n                class=\"accordion__button collapsed\"\n                aria-expanded=\"false\"\n                data-bs-toggle=\"collapse\"\n                data-bs-target=\"#accordion-panel-69d46f0531a5c\"\n        >\n            <span class=\"accordion__title\">\n                Analyse 4b                <span class=\"accordion__data\">\n                    <span class=\"accordion__data__item\">\n                        <span class=\"accordion__data__name\">ECTS credits:<\/span>\n                        <span class=\"accordion__data__value\">\n                            2                        <\/span>\n                    <\/span>\n                    <span class=\"accordion__data__item\">\n                        <span class=\"accordion__data__name\">Course code:<\/span>\n                        <span class=\"accordion__data__value\">\n                            BA_PHYS_GEN-22                        <\/span>\n                    <\/span>\n                <\/span>\n            <\/span>\n            <svg aria-hidden=\"true\" focusable=\"false\" class=\"icon icon-outline icon--arrow-down icon--lg\"><use xlink:href=\"https:\/\/www.uni.lu\/wp-content\/themes\/unilux-theme\/assets\/images\/icons\/icons-outline.svg#icon--arrow-down\"><\/use><\/svg>        <\/button>\n    <\/h4>\n\n    <div id=\"accordion-panel-69d46f0531a5c\" class=\"accordion__collapse collapse\" data-bs-parent=\"#accordion-module-69d46f05319ce\">\n        <div class=\"accordion__body p-0\">\n            <ul class=\"list-highlighted\">\n                <li class=\"list-highlighted__item items-start\">\n                    <header class=\"list-highlighted__header\">\n                        <h5 class=\"text-18\"><strong>Details<\/strong><\/h5>\n                    <\/header>\n                    <div class=\"list-highlighted__body\">\n                        <ul>\n                            <li><span class=\"text-dark font-heading font-bold\">Course title:<\/span> Analyse 4b<\/li>\n                            <li><span class=\"text-dark font-heading font-bold\">Number of ECTS:<\/span> 2<\/li>\n                            <li><span class=\"text-dark font-heading font-bold\">Course code:<\/span> BA_PHYS_GEN-22<\/li>\n                            <li><span class=\"text-dark font-heading font-bold\">Module(s):<\/span> Module options 4.4  (10 ECTS required to close the module) <\/li>\n                            <li><span class=\"text-dark font-heading font-bold\">Language:<\/span> <\/li>\n                            <li><span class=\"text-dark font-heading font-bold\">Mandatory:<\/span> No<\/li>\n                        <\/ul>\n                    <\/div>\n                <\/li>\n\n                <!--<li class=\"list-highlighted__item items-start\">-->\n                <!--    <header class=\"list-highlighted__header\">-->\n                <!--        <h5 class=\"text-18\"><strong>--><!--<\/strong><\/h5>-->\n                <!--    <\/header>-->\n                <!--    <div class=\"list-highlighted__body\">-->\n                <!--        <div class=\"speaker-group\">-->\n                <!--            -->                <!--        <\/div>-->\n                <!--    <\/div>-->\n                <!--<\/li>-->\n\n                                <li class=\"list-highlighted__item items-start\">\n                    <header class=\"list-highlighted__header\">\n                        <h5 class=\"text-18\"><strong>Objectives<\/strong><\/h5>\n                    <\/header>\n                    <div class=\"list-highlighted__body\">\n                        <p>\n                            Initiation to partial differential equations. Mathematical understanding of the heat and wave propagation on finite and infinite domains.                        <\/p>\n                    <\/div>\n                <\/li>\n                \n                                <li class=\"list-highlighted__item items-start\">\n                    <header class=\"list-highlighted__header\">\n                        <h5 class=\"text-18\"><strong>Course learning outcomes<\/strong><\/h5>\n                    <\/header>\n                    <div class=\"list-highlighted__body\">\n                        Students who successfully followed the course Analysis 4b will be capable of:<br>-Solving various types of partial differential equations (as first order PDEs, wave equation, and heat equation) and qualitatively interpreting the solutions.<br>-Modeling various physical phenomena by partial differential equations.<br>-Applying the knowledge to simple physical problems.<br>                    <\/div>\n                <\/li>\n                \n                                <li class=\"list-highlighted__item items-start\">\n                    <header class=\"list-highlighted__header\">\n                        <h5 class=\"text-18\"><strong>Description<\/strong><\/h5>\n                    <\/header>\n                    <div class=\"list-highlighted__body\">\n                        1. First order PDEs.\u00a0<br>Surfaces, vector fields, integrable curves. Method of characteristic curves for solving first order PDEs. Non-global solutions and shock waves.<br>2.\u00a0 Wave equation.<br>D\u2019Alembert solution of the wave equation on the whole line. External forcing and resonance. Causality and energy.<br>3. Heat or diffusion equation.<br>Physical interpretation. General solution on the whole line. Maximum principle and stability. Distributions.<br>4. Boundary problems.<br>Wave and diffusion equation on a finite string. Separation of variables. Dirichlet, Neumann, and Robin boundary condition. Physical interpretation.<br>5. Fourier series.<br>Sine, cosine, and full Fourier series. Application to the initial-boundary value problem. Convergence and Gibbs phenomenon.<br><p> <\/p>                    <\/div>\n                <\/li>\n                \n                \n                                <li class=\"list-highlighted__item items-start\">\n                    <header class=\"list-highlighted__header\">\n                        <h5 class=\"text-18\"><strong>Assessment<\/strong><\/h5>\n                    <\/header>\n                    <div class=\"list-highlighted__body\">\n                        Continuous assessment and final exam.                    <\/div>\n                <\/li>\n                \n                                <li class=\"list-highlighted__item items-start\">\n                    <header class=\"list-highlighted__header\">\n                        <h5 class=\"text-18\"><strong>Note<\/strong><\/h5>\n                    <\/header>\n                    <div class=\"list-highlighted__body\">\n                        <p><br>Support \/ Literature<br><\/p>Partial Differential Equations: An Introduction, Walter A. Strauss, John Wiley Sons, 2007.<br>&#8211; Introduction to Partial Differential Equations, Peter J. Oliver, Springer, 2014.<br>-Partial Differential Equations, Lawrence C. Evans, AMS, Providence, Rhode Island, 2010.<br>Information after course registration<p>\u00a0<\/p>                    <\/div>\n                <\/li>\n                \n            <\/ul>\n        <\/div>\n    <\/div>\n<\/div>            \n<div class=\"accordion__item\">\n    <h4 class=\"accordion__header\">\n        <button\n                type=\"button\"\n                class=\"accordion__button collapsed\"\n                aria-expanded=\"false\"\n                data-bs-toggle=\"collapse\"\n                data-bs-target=\"#accordion-panel-69d46f0531a67\"\n        >\n            <span class=\"accordion__title\">\n                Logiciels math\u00e9matiques                 <span class=\"accordion__data\">\n                    <span class=\"accordion__data__item\">\n                        <span class=\"accordion__data__name\">ECTS credits:<\/span>\n                        <span class=\"accordion__data__value\">\n                            3                        <\/span>\n                    <\/span>\n                    <span class=\"accordion__data__item\">\n                        <span class=\"accordion__data__name\">Course code:<\/span>\n                        <span class=\"accordion__data__value\">\n                            BA_MATH_GEN-13                        <\/span>\n                    <\/span>\n                <\/span>\n            <\/span>\n            <svg aria-hidden=\"true\" focusable=\"false\" class=\"icon icon-outline icon--arrow-down icon--lg\"><use xlink:href=\"https:\/\/www.uni.lu\/wp-content\/themes\/unilux-theme\/assets\/images\/icons\/icons-outline.svg#icon--arrow-down\"><\/use><\/svg>        <\/button>\n    <\/h4>\n\n    <div id=\"accordion-panel-69d46f0531a67\" class=\"accordion__collapse collapse\" data-bs-parent=\"#accordion-module-69d46f05319ce\">\n        <div class=\"accordion__body p-0\">\n            <ul class=\"list-highlighted\">\n                <li class=\"list-highlighted__item items-start\">\n                    <header class=\"list-highlighted__header\">\n                        <h5 class=\"text-18\"><strong>Details<\/strong><\/h5>\n                    <\/header>\n                    <div class=\"list-highlighted__body\">\n                        <ul>\n                            <li><span class=\"text-dark font-heading font-bold\">Course title:<\/span> Logiciels math\u00e9matiques <\/li>\n                            <li><span class=\"text-dark font-heading font-bold\">Number of ECTS:<\/span> 3<\/li>\n                            <li><span class=\"text-dark font-heading font-bold\">Course code:<\/span> BA_MATH_GEN-13<\/li>\n                            <li><span class=\"text-dark font-heading font-bold\">Module(s):<\/span> Module options 4.4  (10 ECTS required to close the module) <\/li>\n                            <li><span class=\"text-dark font-heading font-bold\">Language:<\/span> EN<\/li>\n                            <li><span class=\"text-dark font-heading font-bold\">Mandatory:<\/span> No<\/li>\n                        <\/ul>\n                    <\/div>\n                <\/li>\n\n                <!--<li class=\"list-highlighted__item items-start\">-->\n                <!--    <header class=\"list-highlighted__header\">-->\n                <!--        <h5 class=\"text-18\"><strong>--><!--<\/strong><\/h5>-->\n                <!--    <\/header>-->\n                <!--    <div class=\"list-highlighted__body\">-->\n                <!--        <div class=\"speaker-group\">-->\n                <!--            -->                <!--        <\/div>-->\n                <!--    <\/div>-->\n                <!--<\/li>-->\n\n                                <li class=\"list-highlighted__item items-start\">\n                    <header class=\"list-highlighted__header\">\n                        <h5 class=\"text-18\"><strong>Objectives<\/strong><\/h5>\n                    <\/header>\n                    <div class=\"list-highlighted__body\">\n                        <p>\n                            The first part of the course will cover the basics of the LaTeX markup language.<br>We will see how to use it to write a mathematical text, such as lecture notes or a Thesis, and to prepare slides for a presentation.<br>In the second part we will focus on SageMath and other mathematical software to carry out computations. We will also briefly talk about computational complexity and how to write more efficient code.                        <\/p>\n                    <\/div>\n                <\/li>\n                \n                                <li class=\"list-highlighted__item items-start\">\n                    <header class=\"list-highlighted__header\">\n                        <h5 class=\"text-18\"><strong>Course learning outcomes<\/strong><\/h5>\n                    <\/header>\n                    <div class=\"list-highlighted__body\">\n                        The student who completes the course will be able to use the LaTeX markup language to write documents and prepare slide-based presentations and to use SageMath and other mathematical software to carry out computations.                    <\/div>\n                <\/li>\n                \n                                <li class=\"list-highlighted__item items-start\">\n                    <header class=\"list-highlighted__header\">\n                        <h5 class=\"text-18\"><strong>Description<\/strong><\/h5>\n                    <\/header>\n                    <div class=\"list-highlighted__body\">\n                        <p>LaTeX [1] is a markup language to write and format documents of any type. It is particularly well-suited for scientific documents, but it can be used for any type of document, including books, CVs and even presentation slides.<br>It can be used together with a graphical front-end (such as TexMaker, TexStudio, Overleaf&#8230;) to immediately see the pdf output. The main advantage over a more classical word processor such as Microsoft Word, besides a much better support for writing mathematical formulas and theorems, is that in LaTeX &#8220;What you see is what you mean&#8221; [2]: by typing commands instead of visually changing the appearence of the text, the &#8220;compiler&#8221; will always try to produce an output that is faithful to what the user indicated, so the user does not have to manually adjust the result after every major modification.<br>SageMath [3] is a free and open-source Mathematical software system which builds on top of many existing: NumPy, SciPy, matplotlib, Sympy, Pari\/GP, GAP, R and many more. Thanks to it, all the features all these languages can be accessed from a common python-based interface.<br>In practice, the SageMath &#8220;language&#8221; is almost identical to python, but it provides a complete set of libraries to deal with many mathematical objects and computations.<\/p><ol><li>https:\/\/en.wikipedia.org\/wiki\/LaTeX<\/li><li>https:\/\/en.wikipedia.org\/wiki\/WYSIWYM<\/li><li>https:\/\/www.sagemath.org\/<\/li><\/ol><p>\u00a0<\/p>                    <\/div>\n                <\/li>\n                \n                \n                                <li class=\"list-highlighted__item items-start\">\n                    <header class=\"list-highlighted__header\">\n                        <h5 class=\"text-18\"><strong>Assessment<\/strong><\/h5>\n                    <\/header>\n                    <div class=\"list-highlighted__body\">\n                        <p>The evaluation of the course will be based Quiz and Final project.\u00a0<br><\/p>                    <\/div>\n                <\/li>\n                \n                                <li class=\"list-highlighted__item items-start\">\n                    <header class=\"list-highlighted__header\">\n                        <h5 class=\"text-18\"><strong>Note<\/strong><\/h5>\n                    <\/header>\n                    <div class=\"list-highlighted__body\">\n                        <p><br>Note<br><\/p><br><p><br>https:\/\/doc.sagemath.org\/html\/en\/tutorial\/index.html<br><\/p><br><p>\u00a0<\/p>                    <\/div>\n                <\/li>\n                \n            <\/ul>\n        <\/div>\n    <\/div>\n<\/div>            \n<div class=\"accordion__item\">\n    <h4 class=\"accordion__header\">\n        <button\n                type=\"button\"\n                class=\"accordion__button collapsed\"\n                aria-expanded=\"false\"\n                data-bs-toggle=\"collapse\"\n                data-bs-target=\"#accordion-panel-69d46f0531a73\"\n        >\n            <span class=\"accordion__title\">\n                Analyse num\u00e9rique pour ing\u00e9nieurs et physiciens                <span class=\"accordion__data\">\n                    <span class=\"accordion__data__item\">\n                        <span class=\"accordion__data__name\">ECTS credits:<\/span>\n                        <span class=\"accordion__data__value\">\n                            4                        <\/span>\n                    <\/span>\n                    <span class=\"accordion__data__item\">\n                        <span class=\"accordion__data__name\">Course code:<\/span>\n                        <span class=\"accordion__data__value\">\n                            BA_PHYS_GEN-23                        <\/span>\n                    <\/span>\n                <\/span>\n            <\/span>\n            <svg aria-hidden=\"true\" focusable=\"false\" class=\"icon icon-outline icon--arrow-down icon--lg\"><use xlink:href=\"https:\/\/www.uni.lu\/wp-content\/themes\/unilux-theme\/assets\/images\/icons\/icons-outline.svg#icon--arrow-down\"><\/use><\/svg>        <\/button>\n    <\/h4>\n\n    <div id=\"accordion-panel-69d46f0531a73\" class=\"accordion__collapse collapse\" data-bs-parent=\"#accordion-module-69d46f05319ce\">\n        <div class=\"accordion__body p-0\">\n            <ul class=\"list-highlighted\">\n                <li class=\"list-highlighted__item items-start\">\n                    <header class=\"list-highlighted__header\">\n                        <h5 class=\"text-18\"><strong>Details<\/strong><\/h5>\n                    <\/header>\n                    <div class=\"list-highlighted__body\">\n                        <ul>\n                            <li><span class=\"text-dark font-heading font-bold\">Course title:<\/span> Analyse num\u00e9rique pour ing\u00e9nieurs et physiciens<\/li>\n                            <li><span class=\"text-dark font-heading font-bold\">Number of ECTS:<\/span> 4<\/li>\n                            <li><span class=\"text-dark font-heading font-bold\">Course code:<\/span> BA_PHYS_GEN-23<\/li>\n                            <li><span class=\"text-dark font-heading font-bold\">Module(s):<\/span> Module options 4.4  (10 ECTS required to close the module) <\/li>\n                            <li><span class=\"text-dark font-heading font-bold\">Language:<\/span> FR<\/li>\n                            <li><span class=\"text-dark font-heading font-bold\">Mandatory:<\/span> No<\/li>\n                        <\/ul>\n                    <\/div>\n                <\/li>\n\n                <!--<li class=\"list-highlighted__item items-start\">-->\n                <!--    <header class=\"list-highlighted__header\">-->\n                <!--        <h5 class=\"text-18\"><strong>--><!--<\/strong><\/h5>-->\n                <!--    <\/header>-->\n                <!--    <div class=\"list-highlighted__body\">-->\n                <!--        <div class=\"speaker-group\">-->\n                <!--            -->                <!--        <\/div>-->\n                <!--    <\/div>-->\n                <!--<\/li>-->\n\n                                <li class=\"list-highlighted__item items-start\">\n                    <header class=\"list-highlighted__header\">\n                        <h5 class=\"text-18\"><strong>Objectives<\/strong><\/h5>\n                    <\/header>\n                    <div class=\"list-highlighted__body\">\n                        <p>\n                            Voir &#8220;learning outcomes&#8221;                        <\/p>\n                    <\/div>\n                <\/li>\n                \n                                <li class=\"list-highlighted__item items-start\">\n                    <header class=\"list-highlighted__header\">\n                        <h5 class=\"text-18\"><strong>Course learning outcomes<\/strong><\/h5>\n                    <\/header>\n                    <div class=\"list-highlighted__body\">\n                        Au terme du cours, l\u2019\u00e9tudiant doit \u00eatre \u00e0 m\u00eame de:<br>comprendre le r\u00f4le central de l\u2019analyse num\u00e9rique dans les sciences math\u00e9matiques pures et appliqu\u00e9es;<br>maitriser les notions et les algorithmes fondamentaux de l\u2019analyse num\u00e9rique (approximation de fonctions, r\u00e9solution d\u2019\u00e9quations, calcul approch\u00e9 d\u2019int\u00e9grales);<br>acqu\u00e9rir un raisonnement rigoureux et syst\u00e9matique, indispensable \u00e0 l\u2019analyse et \u00e0 l\u2019interpr\u00e9tation des objets \u00e9tudi\u00e9s en analyse num\u00e9rique;<br>formuler et r\u00e9soudre math\u00e9matiquement certains probl\u00e8mes num\u00e9riques mod\u00e9lisables au moyen de l\u2019analyse math\u00e9matique et de l\u2019alg\u00e8bre lin\u00e9aire                    <\/div>\n                <\/li>\n                \n                                <li class=\"list-highlighted__item items-start\">\n                    <header class=\"list-highlighted__header\">\n                        <h5 class=\"text-18\"><strong>Description<\/strong><\/h5>\n                    <\/header>\n                    <div class=\"list-highlighted__body\">\n                        Normes d\u2019op\u00e9rateurs<br> Approximation polynomiale<br> R\u00e9solution d\u2019\u00e9quations non lin\u00e9aires<br> R\u00e9solution num\u00e9rique des syst\u00e8mes lin\u00e9aires<br> Int\u00e9gration num\u00e9rique<br> R\u00e9solution num\u00e9rique d\u2019\u00e9quations diff\u00e9rentielles                    <\/div>\n                <\/li>\n                \n                \n                                <li class=\"list-highlighted__item items-start\">\n                    <header class=\"list-highlighted__header\">\n                        <h5 class=\"text-18\"><strong>Assessment<\/strong><\/h5>\n                    <\/header>\n                    <div class=\"list-highlighted__body\">\n                        <p>examen \u00e9crit en fin de semestre<\/p><br><p>Retake: Examen \u00e9crit<\/p><br><br>                    <\/div>\n                <\/li>\n                \n                                <li class=\"list-highlighted__item items-start\">\n                    <header class=\"list-highlighted__header\">\n                        <h5 class=\"text-18\"><strong>Note<\/strong><\/h5>\n                    <\/header>\n                    <div class=\"list-highlighted__body\">\n                        Des notes de cours ou des slides sont disponibles sur la plateforme Moodle<br>                    <\/div>\n                <\/li>\n                \n            <\/ul>\n        <\/div>\n    <\/div>\n<\/div>    <\/div><\/div><\/section>\n<\/div>\n<\/div><\/section>\n<\/div>","protected":false},"excerpt":{"rendered":"<p>During the Saar-Lor-Lux Bachelor in Physics, students spend three years studying at the universities of Lorraine, Luxembourg, and Saarland.<br \/>\nTeaching combines lectures and hands-on practicals.<br \/>\nThe curriculum includes Experimental and Theoretical Physics, Condensed Matter Physics, Quantum Mechanics, Bio- and Nano-physics. There is also ample opportunity for elective courses.<\/p>\n","protected":false},"author":272,"featured_media":0,"parent":1044,"menu_order":0,"template":"","meta":{"featured_image_focal_point":[],"show_featured_caption":false,"ulux_newsletter_groups":"","uluxPostTitle":"German-French-Luxembourgish Bachelor in Physics","uluxPrePostTitle":"","_trash_the_other_posts":false,"_price":"","_stock":"","_tribe_ticket_header":"","_tribe_default_ticket_provider":"","_tribe_ticket_capacity":"0","_ticket_start_date":"","_ticket_end_date":"","_tribe_ticket_show_description":"","_tribe_ticket_show_not_going":false,"_tribe_ticket_use_global_stock":"","_tribe_ticket_global_stock_level":"","_global_stock_mode":"","_global_stock_cap":"","_tribe_rsvp_for_event":"","_tribe_ticket_going_count":"","_tribe_ticket_not_going_count":"","_tribe_tickets_list":"[]","_tribe_ticket_has_attendee_info_fields":false,"study_program_identifiers":"BA_PHYS_SLL__F1_BA_PHYS_SLL__F1_BA_PHYS","override_seo_title":false},"type-of-studies":[],"teaching-languages":[],"field-of-interest":[],"organisation":[],"authorship":[272,273,346],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v22.3 (Yoast SEO v22.3) - 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