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Cours scientifiques - FMA_2S007_EP : Series of Functions, Differential Equations

Descriptif

Prerequisite: MAA202

Series of functions, differential equations (MAA207) builds upon the topology notions studied in Topology and multivariable calculus (MAA202) to allow for a more profound study of functions. Examining functions as limits of simpler ones (e.g. for approximation problems) is made possible in a rigorous manner thanks to topological ideas. This provides the possibility of using crucial tools in many scientific fields; the most striking one being Fourier series (first designed to solve the heat equation and now ubiquitous in science and, in a hidden manner, in daily life). The second part of the course deals with a wide array of differential equations, permitting students to better understand complex physical questions.

Pour les étudiants du diplôme Bachelor of Science de l'Ecole polytechnique

Vous devez avoir validé l'équation suivante : UE FMA_2F002_EP

One variable and multivariable calculus (differentiation, integration, numerical series), fundamentals of topology of normed vector spaces as seen in any first or second year undergraduate class (such as MAA202).

Pour les étudiants du diplôme Programmes d'échange internationaux

Vous devez avoir validé l'équation suivante : UE FMA_2F002_EP

Numérique sur 20

Pour les étudiants du diplôme Programmes d'échange internationaux

Vos modalités d'acquisition :

The assessment will consist of two parts:
- A continuous assessment (coursework) based on short tests and/or homework assignments.
- A 2 hours long written final exam (open book).

The final numerical grade will be the maximum between the grade of the final exam and the arithmetic mean of the grade of the coursework and that of the final exam, all of which will be on a scale from 0 to 20.
It will be converted to the official final letter grade according to a table published by the instructor at the beginning of the course.

Le rattrapage est autorisé (Note de rattrapage conservée écrêtée à une note seuil de 10)

Pour les étudiants du diplôme Bachelor of Science de l'Ecole polytechnique

Vos modalités d'acquisition :

The assessment will consist of two parts:
- A continuous assessment (coursework) based on short tests and/or homework assignments.
- A 2 hours long written final exam (open book).

The final numerical grade will be the maximum between the grade of the final exam and the arithmetic mean of the grade of the coursework and that of the final exam, all of which will be on a scale from 0 to 20.
It will be converted to the official final letter grade according to a table published by the instructor at the beginning of the course.

Le rattrapage est autorisé (Note de rattrapage conservée écrêtée à une note seuil de 10)
L'UE est acquise si Note finale >= 10
• Crédits ECTS acquis : 5 ECTS

La note obtenue rentre dans le calcul de votre GPA.