# Overview

The Health and Science is established since 2107 and proposes to the students of second year medical studies, pharmacology and odontology an early formation to research.

# Course

Physical problem example: two weights bound with a spring. System of two bounded ordinary differntial equations (

**EDO**). Solution with no linear algebra general theory.Linear algebra discovering: vectors, matrices, basis operations: sum, product, trace, determinant, inverse. Notions of

*free family*. Diagonalisation.Two applied examples:

- Square inverse problem (as much equations as variables): solution with matrix inversion.
- Solve a system of coupled linear
**EDO**thanks to diagonalisation.

# Practical work on Python

- General formalism over Python for vectors and matrices.
- How can we do the
*loops*? - Square linear problem resolution.
- Eigen-space decomposition.
- Numerical solution of the problem: two weights bound with a spring.