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.
Diplôme(s) concerné(s)
Parcours de rattachement
Pour les étudiants du diplôme Bachelor of Science de l'Ecole polytechnique
Vous devez avoir validé l'équation suivante : UE MAA202
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 MAA202
Format des notes
Numérique sur 20Littérale/grade américainPour les étudiants du diplôme Programmes d'échange internationaux
Vos modalités d'acquisition :
- 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.
Pour les étudiants du diplôme Bachelor of Science de l'Ecole polytechnique
Vos modalités d'acquisition :
- 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.
- Crédits ECTS acquis : 5 ECTS
La note obtenue rentre dans le calcul de votre GPA.