Ce cours contient les 7 premiers chapitres d'un cours donné aux étudiants bachelor de l'EPFL. Il est basé sur le livre "Introduction à l'analyse numérique", J. Rappaz M. Picasso, Ed. PPUR. Des outils de base sont décrits dans les 5 premiers chapitres. Les deux derniers chapitres abordent la question de la résolution numérique d'équations différentielles. Plus précisement, nous allons étudier les chapitres suivants du livre :
Analyse numérique pour ingénieurs
Gain insight into a topic and learn the fundamentals.
4.5
(108 reviews)
Intermediate level
Some related experience required
Flexible schedule
4 weeks at 10 hours a week
Learn at your own pace
87%
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Assessments
42 assignments
Taught in French
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There are 8 modules in this course
Interpolation de Lagrange. Interpolation par intervalles.
What's included
9 videos6 assignments1 peer review1 plugin
Formules de différences finies pour approcher les dérivées premières et secondes.
What's included
10 videos6 assignments1 peer review1 plugin
Formules de quadrature. Poids et points d'intégration. Formules de Gauss.
What's included
10 videos6 assignments1 peer review1 plugin
Elimination de Gauss. Décomposition LU. Décomposition LL^T.
What's included
8 videos7 assignments2 peer reviews1 plugin
Equations non linéaires. Méthodes de point fixe. Méthode de Newton. Systèmes non linéaires.
What's included
10 videos7 assignments1 peer review1 plugin
Equations différentielles du premier ordre. Existence et unicité. Schémas d'Euler. Systèmes différentiels du premier ordre.
What's included
10 videos6 assignments1 peer review1 plugin
Un problème aux limites unidimensionnels linéaire. Méthode de différences finies. Un problème non linéaire.
What's included
7 videos3 assignments1 peer review1 plugin
Examen final (30% de la note)
What's included
1 assignment
Instructor
Instructor ratings
4.8 (7 ratings)
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Learner reviews
4.5
108 reviews
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66.66%
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25%
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5.55%
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0.92%
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1.85%
Showing 3 of 108
PR
5
Reviewed on Oct 28, 2017
Cours très bien conçu, le niveau de maths est élevé mais les vidéos et le livre permettent de retravailler les parties plus difficiles à comprendre.
CH
4
Reviewed on Jan 20, 2017
Très bien fait pour se faire un rappel des bases de l'analyse numérique.
LL
5
Reviewed on Aug 16, 2016
Excellent cours avec des exemples concrets.Je recommande fortement ce cours pour tout ingénieur ayant à résoudre des systèmes linéaires ou non.
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