{"id":29,"date":"2023-08-24T13:47:06","date_gmt":"2023-08-24T11:47:06","guid":{"rendered":"https:\/\/www.uni.lu\/life-de\/?page_id=29"},"modified":"2026-01-13T10:25:50","modified_gmt":"2026-01-13T09:25:50","slug":"mathematik","status":"publish","type":"page","link":"https:\/\/www.uni.lu\/life-de\/scienteens-lab\/kurse\/mathematik\/","title":{"rendered":"Mathematik"},"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=\"0bafad46-cfe7-42ff-865e-59931e78e047\">\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 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<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\">Kontakt<\/span>\n    <\/a>\n<\/li>\n        <\/ul>\n    <\/nav>\n<\/div>\n<!-- end SecondaryNavigationMirror --><\/div><\/section>\n\n\n\n<section class=\"wp-block-unilux-blocks-free-section section\"><div class=\"container xl:max-w-screen-xl\">\n<div class=\"wp-block-columns is-layout-flex wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<h1 class=\"has-text-align-left wp-block-unilux-blocks-heading\"        id=\"mathematik\"\n    >\nMathematik<\/h1>\n\n\n\n<p>Das Scienteens Lab bietet f\u00fcnf verschiedene Mathematik-Kurse f\u00fcr Sekundarschulklassen an. Sie befassen sich mit Themen wie Graphentheorie, Wahrscheinlichkeiten, Kryptographie, Klassifizierung und Modellierung. Die meisten dieser Kurse sind f\u00fcr Sch\u00fclerInnen zwischen 16 und 19 Jahren gedacht. Sie finden auf dem Campus Belval unter der Aufsicht des Teams des Scienteens Lab statt. Jeder Kurs wird in der untenstehenden Tabelle beschrieben. Sie k\u00f6nnen sich auch einen Eindruck von unseren Mathematik-Kurse verschaffen, indem Sie ein kurzes Video ansehen.<\/p>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\"><div class=\"thumbnail  wp-block-unilux-blocks-thumbnail-video\">\n    <div class=\"card bg-theme p-0\">\n        <div class=\"card__container p-0\">\n            <div class=\"card__body p-0\">\n                <iframe \n            src=\"https:\/\/www.youtube.com\/embed\/fSM8BsLqy1U\" \n            title=\"YouTube video player\" frameborder=\"0\" \n            allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share\" referrerpolicy=\"strict-origin-when-cross-origin\" \n            style=\"object-position: 50% 50%; aspect-ratio: 16\/9; object-fit: cover; width: 100%;\"\n            allowfullscreen data-cookieconsent=\"ignore\">\n            <\/iframe>                            <\/div>\n        <\/div>\n    <\/div>\n<\/div>\n<\/div>\n<\/div>\n\n\n<div class=\"wp-block-unilux-blocks-spacer is-spacer-size-md\"><\/div>\n\n\n<div class=\"wp-block-unilux-blocks-accordion accordion accordion--theme accordion-standard\" data-reference=\"e4168f03-ad1c-4bde-9af9-5f4ccce4482d\" data-accordion-type=\"standard\"><div class=\"accordion__item  wp-block-unilux-blocks-accordion-item\">\n    <h3 class=\"accordion__header\"\n        >\n        <button\n            type=\"button\"\n            id=\"accordion-labelledby-6a821752-c6ed-48d3-8f5c-b4bda9025270\"\n            class=\"accordion__button collapsed\"\n            aria-expanded=\"false\"\n            aria-controls=\"accordion-panel-6a821752-c6ed-48d3-8f5c-b4bda9025270\"\n            data-bs-toggle=\"collapse\"\n            data-bs-target=\"#accordion-panel-6a821752-c6ed-48d3-8f5c-b4bda9025270\"\n        >\n            <span class=\"accordion__title\">\n                                <strong>1. <strong>Den Zufall erfassen? Dank Wahrscheinlichkeitstheorie!<\/strong><\/strong>            <\/span>\n\n            <svg aria-hidden=\"true\" focusable=\"false\" class=\"icon icon-outline icon--arrow-down \"><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    <\/h3>\n    <div id=\"accordion-panel-6a821752-c6ed-48d3-8f5c-b4bda9025270\"\n        class=\"accordion__collapse collapse\"\n        aria-labelledby=\"accordion-labelledby-6a821752-c6ed-48d3-8f5c-b4bda9025270\"\n        data-bs-parent=\"[data-reference=&quot;e4168f03-ad1c-4bde-9af9-5f4ccce4482d&quot;]\"\n    >\n        <div class=\"accordion__body \">\n            \n<p>Dieser Kurs gibt den Sch\u00fclern eine Einf\u00fchrung in die Wahrscheinlichkeitstheorie und die zugrundeliegenden mathematischen Begriffe und Konzepte. Durch praktische \u00dcbungen und Experimente, die die Sch\u00fcler selbst ausf\u00fchren k\u00f6nnen, bekommen sie ein besseres Gef\u00fchl f\u00fcr das Rechnen mit Wahrscheinlichkeiten vermittelt. Insbesondere sehen sie auch anhand konkreter Beispiele, etwa aus dem Bereich der Medizin, wie wahrscheinlichkeitstheoretische Konzepte dabei helfen k\u00f6nnen, Entscheidungen zu treffen.<\/p>\n\n<p>Der Kurs behandelt unter anderem folgende Konzepte:<\/p>\n\n<ul class=\"ulux-list\">\n<li class=\"ulux-list-item\">Grundbegriffe (Zufallsexperiment, Zufallsvariable, Erwartungswert, Verteilung)<\/li>\n\n\n\n<li class=\"ulux-list-item\">Bernoulli-Experimente und Binomialverteilung<\/li>\n\n\n\n<li class=\"ulux-list-item\">Geometrische Verteilung<\/li>\n\n\n\n<li class=\"ulux-list-item\">Bedingte Wahrscheinlichkeiten<\/li>\n\n\n\n<li class=\"ulux-list-item\">Beispiele und Anwendungen der Wahrscheinlichkeitstheorie<\/li>\n<\/ul>\n\n<p>Der Kurs ist geeignet f\u00fcr Sch\u00fcler ab der Klasse 3e.<br>Der Kurs ist flexibel und der Schwierigkeitsgrad kann den jeweiligen Klassen entsprechend angepasst werden.<\/p>\n        <\/div>\n    <\/div>\n<\/div>\n\n<div class=\"accordion__item  wp-block-unilux-blocks-accordion-item\">\n    <h3 class=\"accordion__header\"\n        >\n        <button\n            type=\"button\"\n            id=\"accordion-labelledby-ae010b18-8a8d-487c-a21b-774969a06d8a\"\n            class=\"accordion__button collapsed\"\n            aria-expanded=\"false\"\n            aria-controls=\"accordion-panel-ae010b18-8a8d-487c-a21b-774969a06d8a\"\n            data-bs-toggle=\"collapse\"\n            data-bs-target=\"#accordion-panel-ae010b18-8a8d-487c-a21b-774969a06d8a\"\n        >\n            <span class=\"accordion__title\">\n                                <strong>2. <strong>Den k\u00fcrzesten Weg finden? Dank Graphentheorie!<\/strong><\/strong>            <\/span>\n\n            <svg aria-hidden=\"true\" focusable=\"false\" class=\"icon icon-outline icon--arrow-down \"><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    <\/h3>\n    <div id=\"accordion-panel-ae010b18-8a8d-487c-a21b-774969a06d8a\"\n        class=\"accordion__collapse collapse\"\n        aria-labelledby=\"accordion-labelledby-ae010b18-8a8d-487c-a21b-774969a06d8a\"\n        data-bs-parent=\"[data-reference=&quot;e4168f03-ad1c-4bde-9af9-5f4ccce4482d&quot;]\"\n    >\n        <div class=\"accordion__body \">\n            \n<p>In diesem Kurs entdecken die Sch\u00fcler das Gebiet der Graphentheorie und lernen, wie entsprechende Konzepte in verschiedenen Bereichen des allt\u00e4glichen Lebens Anwendung finden, um Probleme zu modellieren und zu l\u00f6sen, etwa im Bereich der Logistik und Routenplanung. Die Sch\u00fcler k\u00f6nnen aktiv am Kurs teilnehmen und haben in zahlreichen praktischen \u00dcbungen die M\u00f6glichkeit, die gelernten Konzepte selbst auszuprobieren.<\/p>\n\n<p>Der Kurs beinhaltet unter anderem:<\/p>\n\n<ul class=\"ulux-list\">\n<li class=\"ulux-list-item\">Das K\u00f6nigsberger Br\u00fcckenproblem<\/li>\n\n\n\n<li class=\"ulux-list-item\">Eulersche und semi-Eulersche Graphen<\/li>\n\n\n\n<li class=\"ulux-list-item\">Gewichtete Graphen<\/li>\n\n\n\n<li class=\"ulux-list-item\">Der Algorithmus von Dijkstra<\/li>\n\n\n\n<li class=\"ulux-list-item\">Das Problem des Handlungsreisenden<\/li>\n\n\n\n<li class=\"ulux-list-item\">Der PageRank Algorithmus von Google<\/li>\n\n\n\n<li class=\"ulux-list-item\">Anwendungen der Graphentheorie<\/li>\n<\/ul>\n\n<p>Der Kurs ist geeignet f\u00fcr Sch\u00fcler ab der Klasse 4e.<\/p>\n        <\/div>\n    <\/div>\n<\/div>\n\n<div class=\"accordion__item  wp-block-unilux-blocks-accordion-item\">\n    <h3 class=\"accordion__header\"\n        >\n        <button\n            type=\"button\"\n            id=\"accordion-labelledby-30b6b182-99d1-4e14-abbb-c0dbe405a88a\"\n            class=\"accordion__button collapsed\"\n            aria-expanded=\"false\"\n            aria-controls=\"accordion-panel-30b6b182-99d1-4e14-abbb-c0dbe405a88a\"\n            data-bs-toggle=\"collapse\"\n            data-bs-target=\"#accordion-panel-30b6b182-99d1-4e14-abbb-c0dbe405a88a\"\n        >\n            <span class=\"accordion__title\">\n                                <strong>3. <strong>Ein Geheimnis bewahren? Dank Zahlentheorie!<\/strong><\/strong>            <\/span>\n\n            <svg aria-hidden=\"true\" focusable=\"false\" class=\"icon icon-outline icon--arrow-down \"><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    <\/h3>\n    <div id=\"accordion-panel-30b6b182-99d1-4e14-abbb-c0dbe405a88a\"\n        class=\"accordion__collapse collapse\"\n        aria-labelledby=\"accordion-labelledby-30b6b182-99d1-4e14-abbb-c0dbe405a88a\"\n        data-bs-parent=\"[data-reference=&quot;e4168f03-ad1c-4bde-9af9-5f4ccce4482d&quot;]\"\n    >\n        <div class=\"accordion__body \">\n            \n<p>Der Mathematik Kurs zeigt den Sch\u00fclern, wie zahlentheoretische Konzepte zur sicheren Kommunikation verwendet werden k\u00f6nnen. Durch praktische \u00dcbungen, wie das Entschl\u00fcsseln geheimer Nachrichten, lernen die Sch\u00fcler wie Verschl\u00fcsselungsalgorithmen funktionieren und auf welchen mathematischen Grundlagen sie basieren.<\/p>\n\n<p>Sie werden verschiedene mathematischen Konzepte kennenlernen:<\/p>\n\n<ul class=\"ulux-list\">\n<li class=\"ulux-list-item\">Die Euklidische Division (Division mit Rest)<\/li>\n\n\n\n<li class=\"ulux-list-item\">Den gr\u00f6\u00dften gemeinsamen Teiler<\/li>\n\n\n\n<li class=\"ulux-list-item\">Den erweiterten Euklidischen Algorithmus<\/li>\n\n\n\n<li class=\"ulux-list-item\">Den kleinen Satz von Fermat<\/li>\n\n\n\n<li class=\"ulux-list-item\">Den RSA-Algorithmus<\/li>\n<\/ul>\n\n<p>Sollten die Lehrer ihre Klasse auf den Kurs vorbereiten wollen, wird Ihnen hierf\u00fcr entsprechendes Material zur Verf\u00fcgung gestellt. (Weitere Einzelheiten finden Sie auf der Registerkarte &#8222;Vorbereitung&#8220;)<\/p>\n\n<p>Der Kurs ist geeignet f\u00fcr Sch\u00fcler ab der Klasse 3e.<br>Der Kurs ist flexibel und der Schwierigkeitsgrad kann den jeweiligen Klassen entsprechend angepasst werden.<\/p>\n        <\/div>\n    <\/div>\n<\/div>\n\n<div class=\"accordion__item  wp-block-unilux-blocks-accordion-item\">\n    <h3 class=\"accordion__header\"\n        >\n        <button\n            type=\"button\"\n            id=\"accordion-labelledby-bee2a843-9ff9-4e1a-9c6d-40cbc02088f7\"\n            class=\"accordion__button collapsed\"\n            aria-expanded=\"false\"\n            aria-controls=\"accordion-panel-bee2a843-9ff9-4e1a-9c6d-40cbc02088f7\"\n            data-bs-toggle=\"collapse\"\n            data-bs-target=\"#accordion-panel-bee2a843-9ff9-4e1a-9c6d-40cbc02088f7\"\n        >\n            <span class=\"accordion__title\">\n                                4. Wie klassifizieren Mathematiker Objekte?            <\/span>\n\n            <svg aria-hidden=\"true\" focusable=\"false\" class=\"icon icon-outline icon--arrow-down \"><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    <\/h3>\n    <div id=\"accordion-panel-bee2a843-9ff9-4e1a-9c6d-40cbc02088f7\"\n        class=\"accordion__collapse collapse\"\n        aria-labelledby=\"accordion-labelledby-bee2a843-9ff9-4e1a-9c6d-40cbc02088f7\"\n        data-bs-parent=\"[data-reference=&quot;e4168f03-ad1c-4bde-9af9-5f4ccce4482d&quot;]\"\n    >\n        <div class=\"accordion__body \">\n            \n<p>Das Konzept der Klassifizierung von Objekten &#8211; die Einteilung in verschiedene Kategorien &#8211; nach bestimmten Kriterien spielt in vielen Wissenschaften eine wichtige Rolle. In der Biologie zum Beispiel werden Organismen auf der Grundlage gemeinsamer Merkmale und evolution\u00e4rer Beziehungen klassifiziert. In der Mathematik geschieht genau dasselbe, und viele Mathematiker besch\u00e4ftigen sich mit der Klassifizierung von mathematischen Objekten.<\/p>\n\n<p>Dieser Workshop f\u00fchrt in das Konzept der Klassifizierung ein und veranschaulicht seine Bedeutung in Wissenschaft und Mathematik. Anhand von Beispielen wie Zahlen, Graphen oder geometrischen Formen sehen die Sch\u00fclerinnen und Sch\u00fcler, wie mathematische Objekte klassifiziert werden k\u00f6nnen, und lernen au\u00dferdem, wie sogenannte invariante Eigenschaften zur Unterscheidung von Objekten genutzt werden k\u00f6nnen.<\/p>\n\n<p>Dieser Kurs ist f\u00fcr Sch\u00fcler ab der Klasse 3e geeignet.<\/p>\n        <\/div>\n    <\/div>\n<\/div>\n\n<div class=\"accordion__item  wp-block-unilux-blocks-accordion-item\">\n    <h3 class=\"accordion__header\"\n                    id=\"5-mathematische-modellierung-lineare-optimierung-und-populationsdynamik\"\n        >\n        <button\n            type=\"button\"\n            id=\"accordion-labelledby-2a32d41e-15a3-42b3-9bbd-955effbc4434\"\n            class=\"accordion__button collapsed\"\n            aria-expanded=\"false\"\n            aria-controls=\"accordion-panel-2a32d41e-15a3-42b3-9bbd-955effbc4434\"\n            data-bs-toggle=\"collapse\"\n            data-bs-target=\"#accordion-panel-2a32d41e-15a3-42b3-9bbd-955effbc4434\"\n        >\n            <span class=\"accordion__title\">\n                                5. Mathematische Modellierung: Lineare Optimierung und Populationsdynamik            <\/span>\n\n            <svg aria-hidden=\"true\" focusable=\"false\" class=\"icon icon-outline icon--arrow-down \"><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    <\/h3>\n    <div id=\"accordion-panel-2a32d41e-15a3-42b3-9bbd-955effbc4434\"\n        class=\"accordion__collapse collapse\"\n        aria-labelledby=\"accordion-labelledby-2a32d41e-15a3-42b3-9bbd-955effbc4434\"\n        data-bs-parent=\"[data-reference=&quot;e4168f03-ad1c-4bde-9af9-5f4ccce4482d&quot;]\"\n    >\n        <div class=\"accordion__body \">\n            \n<p>Dieser Kurs gibt den Sch\u00fclernInnen einen \u00dcberblick \u00fcber die mathematische Modellierung und zeigt ihnen, wie reale Probleme modelliert und mit Hilfe der Mathematik gel\u00f6st werden k\u00f6nnen. Der Kurs besteht aus zwei Teilen.<\/p>\n\n<p>Im ersten Teil lernen die Sch\u00fclerInnen ein lineares Optimierungsproblem zu formulieren und ein Problem mit zwei Variablen grafisch zu l\u00f6sen. Anschlie\u00dfend lernen sie den Simplex-Algorithmus kennen, der bei mehr als zwei Variablen verwendet werden kann.<\/p>\n\n<p>Der zweite Teil befasst sich mit der Modellierung von Wachstumsprozessen, insbesondere mit dem SIR-Modell, das zur Modellierung der Ausbreitung einer Epidemie in einer gegebenen Population verwendet wird.<\/p>\n\n<p>Der Kurs beinhaltet unter anderem:<\/p>\n\n<ul class=\"ulux-list\">\n<li class=\"ulux-list-item\">Beispiele von linearen Optimierungsproblemen<\/li>\n\n\n\n<li class=\"ulux-list-item\">Grafische L\u00f6sung eines Problems mit zwei Variablen (mit GeoGebra)<\/li>\n\n\n\n<li class=\"ulux-list-item\">Den Simplex-Algorithmus<\/li>\n\n\n\n<li class=\"ulux-list-item\">Lineares, exponentielles und logistisches Wachstum<\/li>\n\n\n\n<li class=\"ulux-list-item\">Das SIR-Modell und seine Umsetzung in GeoGebra<\/li>\n<\/ul>\n\n<p>Der Kurs eignet sich f\u00fcr Sch\u00fclerInnen ab der 3e Klasse.<br>Er kann entweder als Ganztagskurs (6,5 Stunden) oder als Halbtagskurs (3-4 Stunden) angeboten werden.<br>Bei der halbt\u00e4gigen Version des Kurses muss die Klasse zwischen den beiden Teilen (d.h. Optimierung oder Populationsdynamik) w\u00e4hlen.<\/p>\n\n<p>F\u00fcr den Teil \u00fcber den Simplex-Algorithmus ist es hilfreich, wenn die Sch\u00fcler bereits \u00fcber einige Kenntnisse im Umgang mit linearen Gleichungssystemen verf\u00fcgen.<\/p>\n        <\/div>\n    <\/div>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-columns are-vertically-aligned-center is-layout-flex wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-vertically-aligned-center is-layout-flow wp-block-column-is-layout-flow\"><\/div>\n\n\n\n<div class=\"wp-block-column is-vertically-aligned-center is-layout-flow wp-block-column-is-layout-flow\">\n<ul class=\"wp-block-unilux-blocks-custom-buttons btn-list justify-center\"><li class=\"wp-block-unilux-blocks-custom-button\"    aria-disabled=\"false\"\n    >\n    <a\n        role=\"link\"\n        aria-disabled=\"false\"\n                    href=\"https:\/\/booking.scienteenslab.lu\/de\/teachers\/mathematics_for_classes\/\"\n                target=\"_blank\"\n        class=\"btn btn--primary\"\n            >Buche einen Kurs<\/a>\n<\/li>\n<\/ul>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-vertically-aligned-center is-layout-flow wp-block-column-is-layout-flow\"><\/div>\n<\/div>\n\n\n<div class=\"wp-block-unilux-blocks-spacer is-spacer-size-md\"><\/div>\n\n\n<div class=\"wp-block-columns is-layout-flex wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\"><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\/29\/2023\/08\/ScLab_Website_Mathematics_SmallPic_1-scaled.jpg\"\n                    style=\"object-position: 50.00% 50.00%; font-family: &quot;object-fit: cover; object-position: 50.00% 50.00%;&quot;; aspect-ratio: 16\/9; object-fit: cover; width: 100%;\"\n        loading=\"lazy\"\n\/>    <\/figure><\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\"><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\/29\/2023\/08\/ScLab_Website_Mathematics_SmallPic_2.jpg\"\n                    style=\"object-position: 50.00% 50.00%; font-family: &quot;object-fit: cover; object-position: 50.00% 50.00%;&quot;; aspect-ratio: 16\/9; object-fit: cover; width: 100%;\"\n        loading=\"lazy\"\n\/>    <\/figure><\/div>\n<\/div>\n<\/div><\/section>\n\n\n\n<section class=\"py-0 wp-block-unilux-blocks-free-section section\"><div class=\"container xl:max-w-screen-xl\">\n<p><\/p>\n<\/div><\/section>\n\n\n\n<section class=\"py-0 wp-block-unilux-blocks-free-section section\"><div class=\"container xl:max-w-screen-xl\">\n<h3 class=\"has-text-align-left wp-block-unilux-blocks-heading\"        id=\"praktische-informationen-fuer-alle-mathematik-kurse\"\n    >\nPraktische Informationen f\u00fcr alle Mathematik-Kurse<\/h3>\n\n\n\n<div class=\"wp-block-unilux-blocks-accordion accordion accordion--theme accordion-standard\" data-reference=\"ae783a7b-b404-40d6-8ecc-0c116c313c64\" data-accordion-type=\"standard\"><div class=\"accordion__item  wp-block-unilux-blocks-accordion-item\">\n    <h3 class=\"accordion__header\"\n        >\n        <button\n            type=\"button\"\n            id=\"accordion-labelledby-40c07eee-4c60-424a-a0e6-1f7e2e2da7c2\"\n            class=\"accordion__button collapsed\"\n            aria-expanded=\"false\"\n            aria-controls=\"accordion-panel-40c07eee-4c60-424a-a0e6-1f7e2e2da7c2\"\n            data-bs-toggle=\"collapse\"\n            data-bs-target=\"#accordion-panel-40c07eee-4c60-424a-a0e6-1f7e2e2da7c2\"\n        >\n            <span class=\"accordion__title\">\n                                <strong><strong>Klassenstufe und Alter der Teilnehmer<\/strong><\/strong>            <\/span>\n\n            <svg aria-hidden=\"true\" focusable=\"false\" class=\"icon icon-outline icon--arrow-down \"><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    <\/h3>\n    <div id=\"accordion-panel-40c07eee-4c60-424a-a0e6-1f7e2e2da7c2\"\n        class=\"accordion__collapse collapse\"\n        aria-labelledby=\"accordion-labelledby-40c07eee-4c60-424a-a0e6-1f7e2e2da7c2\"\n        data-bs-parent=\"[data-reference=&quot;ae783a7b-b404-40d6-8ecc-0c116c313c64&quot;]\"\n    >\n        <div class=\"accordion__body \">\n            \n<p>Alle Mathematik-Kurse sind f\u00fcr Sch\u00fclerinnen und Sch\u00fcler der 3. bis zur 1. Klasse geeignet (im luxemburgischen Schulsystem), d.h. 16-19 Jahren.<\/p>\n\n<p>Kurs 2 (Graphentheorie) ist auch f\u00fcr f\u00fcr Sch\u00fclerinnen und Sch\u00fcler der 4. Klasse geeignet.<\/p>\n        <\/div>\n    <\/div>\n<\/div>\n\n<div class=\"accordion__item  wp-block-unilux-blocks-accordion-item\">\n    <h3 class=\"accordion__header\"\n        >\n        <button\n            type=\"button\"\n            id=\"accordion-labelledby-3da9f763-aaba-4c90-a54a-321e64bf8fcb\"\n            class=\"accordion__button collapsed\"\n            aria-expanded=\"false\"\n            aria-controls=\"accordion-panel-3da9f763-aaba-4c90-a54a-321e64bf8fcb\"\n            data-bs-toggle=\"collapse\"\n            data-bs-target=\"#accordion-panel-3da9f763-aaba-4c90-a54a-321e64bf8fcb\"\n        >\n            <span class=\"accordion__title\">\n                                <strong><strong>Sprache<\/strong><\/strong>            <\/span>\n\n            <svg aria-hidden=\"true\" focusable=\"false\" class=\"icon icon-outline icon--arrow-down \"><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    <\/h3>\n    <div id=\"accordion-panel-3da9f763-aaba-4c90-a54a-321e64bf8fcb\"\n        class=\"accordion__collapse collapse\"\n        aria-labelledby=\"accordion-labelledby-3da9f763-aaba-4c90-a54a-321e64bf8fcb\"\n        data-bs-parent=\"[data-reference=&quot;ae783a7b-b404-40d6-8ecc-0c116c313c64&quot;]\"\n    >\n        <div class=\"accordion__body \">\n            \n<p>Die Kurse k\u00f6nnen in Luxemburgisch, Franz\u00f6sisch, Deutsch oder Englisch abgehalten werden.<\/p>\n        <\/div>\n    <\/div>\n<\/div>\n\n<div class=\"accordion__item  wp-block-unilux-blocks-accordion-item\">\n    <h3 class=\"accordion__header\"\n        >\n        <button\n            type=\"button\"\n            id=\"accordion-labelledby-424c17af-10bf-443d-b68f-c8001b6b7652\"\n            class=\"accordion__button collapsed\"\n            aria-expanded=\"false\"\n            aria-controls=\"accordion-panel-424c17af-10bf-443d-b68f-c8001b6b7652\"\n            data-bs-toggle=\"collapse\"\n            data-bs-target=\"#accordion-panel-424c17af-10bf-443d-b68f-c8001b6b7652\"\n        >\n            <span class=\"accordion__title\">\n                                <strong><strong>Zeitplan<\/strong><\/strong>            <\/span>\n\n            <svg aria-hidden=\"true\" focusable=\"false\" class=\"icon icon-outline icon--arrow-down \"><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    <\/h3>\n    <div id=\"accordion-panel-424c17af-10bf-443d-b68f-c8001b6b7652\"\n        class=\"accordion__collapse collapse\"\n        aria-labelledby=\"accordion-labelledby-424c17af-10bf-443d-b68f-c8001b6b7652\"\n        data-bs-parent=\"[data-reference=&quot;ae783a7b-b404-40d6-8ecc-0c116c313c64&quot;]\"\n    >\n        <div class=\"accordion__body \">\n            \n<p>Kurse 1., 2. und 5. werden wahlweise als Ganztageskurs (6.5 Stunden) oder Halbtageskurs (3-4 Stunden) angeboten. Kurs 3. wird nur als Ganztageskurs (6.5 Stunden) angeboten. Kurse 4 kann nur als Halbtageskurs angeboten werden.<\/p>\n\n<p>Der Tageskurs dauert von 9:00 bis 15:30 Uhr, einschlie\u00dflich einer einst\u00fcndigen Mittagspause, in welcher die Sch\u00fcler in einem der Restaurants auf dem Campus Belval oder in der Universit\u00e4tskantine essen k\u00f6nnen. Der Zeitplan der Mittagspause ist einzuhalten, damit das Nachmittagsprogramm p\u00fcnktlich beginnen kann.<\/p>\n\n<p>Die Lehrer, die den Kurs als Halbtageskurs buchen wollen, k\u00f6nnen selbst w\u00e4hlen, wann der Kurs starten soll (dies kann w\u00e4hrend der Registrierung ausgew\u00e4hlt werden).<\/p>\n        <\/div>\n    <\/div>\n<\/div>\n\n<div class=\"accordion__item  wp-block-unilux-blocks-accordion-item\">\n    <h3 class=\"accordion__header\"\n        >\n        <button\n            type=\"button\"\n            id=\"accordion-labelledby-7a0995a5-9d22-4896-b872-1db463db878e\"\n            class=\"accordion__button collapsed\"\n            aria-expanded=\"false\"\n            aria-controls=\"accordion-panel-7a0995a5-9d22-4896-b872-1db463db878e\"\n            data-bs-toggle=\"collapse\"\n            data-bs-target=\"#accordion-panel-7a0995a5-9d22-4896-b872-1db463db878e\"\n        >\n            <span class=\"accordion__title\">\n                                Ort            <\/span>\n\n            <svg aria-hidden=\"true\" focusable=\"false\" class=\"icon icon-outline icon--arrow-down \"><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    <\/h3>\n    <div id=\"accordion-panel-7a0995a5-9d22-4896-b872-1db463db878e\"\n        class=\"accordion__collapse collapse\"\n        aria-labelledby=\"accordion-labelledby-7a0995a5-9d22-4896-b872-1db463db878e\"\n        data-bs-parent=\"[data-reference=&quot;ae783a7b-b404-40d6-8ecc-0c116c313c64&quot;]\"\n    >\n        <div class=\"accordion__body \">\n            \n<p>Die Mathematik Kurse finden in der Maison du Savoir am Campus Belval statt.<\/p>\n\n<p>Sollten Sie mit dem Auto oder Bus kommen, folgen Sie der Autobahn A4 bis zum Ende, und anschlie\u00dfend den Schildern \u201eBelval\u201c. Am Campus ist das Geb\u00e4ude \u201eMaison du Savoir\u201c leider nicht ausgeschildert, bitte benutzen Sie die untenstehende Karte, um den Weg zum Geb\u00e4ude zu finden.<\/p>\n\n<p>Wenn Sie mit dem Zug anreisen, so steigen Sie am Bahnhof \u201eBelval Universit\u00e9\u201c aus. Die Maison du Savoir ist dann in ca. 10 Minuten fu\u00dfl\u00e4ufig zu erreichen.<\/p>\n<figure class=\"wp-block-dev4-reusable-blocks-image  object-fit--contain\">\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\/29\/2023\/08\/2023-08_BelvalMap_ScLab_MSA.jpg\"\n                    style=\"object-position: 50.00% 50.00%; font-family: &quot;object-fit: contain; object-position: 50.00% 50.00%;&quot;; aspect-ratio: 1\/1; object-fit: contain; width: 100%;\"\n        loading=\"lazy\"\n\/>    <\/figure>        <\/div>\n    <\/div>\n<\/div>\n\n<div class=\"accordion__item  wp-block-unilux-blocks-accordion-item\">\n    <h3 class=\"accordion__header\"\n        >\n        <button\n            type=\"button\"\n            id=\"accordion-labelledby-780dfa70-1732-490e-917b-ba4f1666078d\"\n            class=\"accordion__button collapsed\"\n            aria-expanded=\"false\"\n            aria-controls=\"accordion-panel-780dfa70-1732-490e-917b-ba4f1666078d\"\n            data-bs-toggle=\"collapse\"\n            data-bs-target=\"#accordion-panel-780dfa70-1732-490e-917b-ba4f1666078d\"\n        >\n            <span class=\"accordion__title\">\n                                <strong><strong>Vorbereitung<\/strong><\/strong>            <\/span>\n\n            <svg aria-hidden=\"true\" focusable=\"false\" class=\"icon icon-outline icon--arrow-down \"><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    <\/h3>\n    <div id=\"accordion-panel-780dfa70-1732-490e-917b-ba4f1666078d\"\n        class=\"accordion__collapse collapse\"\n        aria-labelledby=\"accordion-labelledby-780dfa70-1732-490e-917b-ba4f1666078d\"\n        data-bs-parent=\"[data-reference=&quot;ae783a7b-b404-40d6-8ecc-0c116c313c64&quot;]\"\n    >\n        <div class=\"accordion__body \">\n            \n<p>Nur f\u00fcr Kurs 3:<br>Wenn Sie m\u00f6gen, k\u00f6nnen Sie die Sch\u00fcler auf den Kurs vorbereiten, indem Sie folgende Themen nochmal kurz mit ihnen wiederholen:<\/p>\n\n<p>a) Die Division mit Rest und der Euklidische Algorithmus (bei der Division ist insbesondere auch der Fall von negativen Dividenden\/Divisoren zu behandeln).<\/p>\n\n<p>b) Der gr\u00f6\u00dfte gemeinsame Teiler (ggt) und das Lemma von B\u00e9zout, welches besagt, dass der ggt zweier Zahlen stets als ganzzahlige Linearkombination dieser Zahlen dargestellt werden kann (Bsp.: ggt(6,15) = 3 = -12*6 + 5*15). Eine solche Linearkombination kann mittels des erweiterten Euklidischen Algorithmus\u2018 gewonnen werden.<\/p>\n\n<p>c) Die Definition einer Primzahl.<\/p>\n\n<p>d) Grundlegende Regeln der Potenzrechnung.<\/p>\n\n<p>Entsprechendes Material, welches f\u00fcr die Vorbereitung verwendet werden kann, wird Ihnen zur Verf\u00fcgung gestellt.<\/p>\n        <\/div>\n    <\/div>\n<\/div>\n\n<div class=\"accordion__item  wp-block-unilux-blocks-accordion-item\">\n    <h3 class=\"accordion__header\"\n        >\n        <button\n            type=\"button\"\n            id=\"accordion-labelledby-caecc116-fcb5-4818-8db1-c343da9b30a4\"\n            class=\"accordion__button collapsed\"\n            aria-expanded=\"false\"\n            aria-controls=\"accordion-panel-caecc116-fcb5-4818-8db1-c343da9b30a4\"\n            data-bs-toggle=\"collapse\"\n            data-bs-target=\"#accordion-panel-caecc116-fcb5-4818-8db1-c343da9b30a4\"\n        >\n            <span class=\"accordion__title\">\n                                <strong><strong>Zertifikat<\/strong><\/strong>            <\/span>\n\n            <svg aria-hidden=\"true\" focusable=\"false\" class=\"icon icon-outline icon--arrow-down \"><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    <\/h3>\n    <div id=\"accordion-panel-caecc116-fcb5-4818-8db1-c343da9b30a4\"\n        class=\"accordion__collapse collapse\"\n        aria-labelledby=\"accordion-labelledby-caecc116-fcb5-4818-8db1-c343da9b30a4\"\n        data-bs-parent=\"[data-reference=&quot;ae783a7b-b404-40d6-8ecc-0c116c313c64&quot;]\"\n    >\n        <div class=\"accordion__body \">\n            \n<p>Am Ende des Kurs erh\u00e4lt jeder Sch\u00fcler ein Zertifikat, das seine Teilnahme best\u00e4tigt.<\/p>\n        <\/div>\n    <\/div>\n<\/div><\/div>\n<\/div><\/section>\n\n\n<section class=\"section section wp-block-unilux-blocks-quick-link-discover-section\">\n    <div class=\"container xl:max-w-screen-xl\">\n        \n<h2 class=\"has-text-align-left wp-block-unilux-blocks-heading\"        id=\"mehr-entdecken\"\n    >\nMehr entdecken<\/h2>\n\n<ul class=\"wp-block-unilux-blocks-quick-link-discover quick-link-list\">\n<li class=\"wp-block-unilux-blocks-quick-link-discover-item\">\n    <a\n                    href=\"https:\/\/www.uni.lu\/life-de\/scienteens-lab\/kurse\/biologie\/\"\n                    class=\"quick-link\"\n            target=\"\"\n    >\n            <span class=\"quick-link__container\">\n                <span class=\"quick-link__text\">\n                    Biologie                <\/span>\n                <svg aria-hidden=\"true\" focusable=\"false\" class=\"icon icon-outline icon--arrow-right \"><use xlink:href=\"https:\/\/www.uni.lu\/wp-content\/themes\/unilux-theme\/assets\/images\/icons\/icons-outline.svg#icon--arrow-right\"><\/use><\/svg>            <\/span>\n    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