UE Matrices and functions of multiple variables - MAT334 -

MAT334 follows the program of unit MAT304 in L1 SV.

Program summary:

A - Linear algebra:
Reminders on matrices and linear applications.
Resolution of linear systems, Gauss method.
Matrix calculation, block manipulation, LU decomposition.
Practical results on determinants and diagonalization.

B - Functions of several variables:
Definitions, continuity, graphical representations, polar, cylindrical and spherical coordinates
Derivation: partial derivatives, differential, gradient, Jacobian matrix, derivation and change of variables
Optimization: extrema, critical points, practical results in dimension 2, least squares method
Partial differential operators: definition and elementary properties of gradient, divergence, Laplacian, curl
Double and triple integrals, Green's formulas

Targeted skills:

Linear algebra and matrix calculus tools.
Manipulation of functions of several variables. Elementary differential and integral calculus.