Study level
BAC +2
ECTS
6 credits
Component
Faculty of Science
Hourly volume
54h
Description
This course is a continuation of the mathematics taught in L1. The mathematical tools necessary for the physicist in analysis will be studied, in particular functions of several variables, differential operators, generalized and multiple integrals and sequences and series, including integer and Fourier series.
Objectives
Learn to manipulate the mathematical tools used in physics. More specifically, at the end of this course, students will be able to manipulate analytical tools such as differential operators, multiple integrals and Fourier series, and apply them to physics problems. Â
Necessary prerequisites
Calculus (L1)
Knowledge control
100% CT
Syllabus
Differential calculation
- Functions of one real variable
- Functions of several variables
- Vector functions
Integral calculation
- Simple integrals
- Generalized integrals
- Parameter-dependent integrals
- Multiple integrals
Suites and series
- Numerical sequences
- Digital series
- Function sequences and series
- Whole series
- Fourier series