Mathematical tools S3

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.

To learn to manipulate the mathematical tools used in physics. More specifically, at the end of this course, the student will be able to manipulate the tools of analysis such as differential operators, multiple integrals and Fourier series and will be able to apply them to physics problems.  

Calculus (L1)

CT 100%.

Differential calculation

- Functions of one real variable

- Functions of several variables

- Vector functions

Integral calculation

- Simple integrals

- Generalized integrals

- Integrals depending on a parameter

- Multiple integrals

Sequences and series

- Numerical sequences

- Numerical series

- Suites and series of functions

- Whole series

- Fourier series