(TA): Mathematics for engineering
Undergraduate course and computer sessions, Ecole Centrale de Nantes, 2022
Supervised by:
- Françoise Foucher (associate professor)
- Marie Billaud-Friess (associate professor)
- Mazen Saad (full professor).
Description
Numerical Linear Algebra
Examples of Direct and iterative methods for linear systems, error control.
Optimization
Basic unconstrained optimization (theorems for existence and uniqueness, quadratic optimization), constrained optimization (KKT theorem, Lagrangian optimization).
Probability
Basic probability laws, different types of convergence for random variable, basic convergence theorems.
Statistic
Basic properties of estimators, examples of maximum a posteriori estimators, confidence intervals.
Numerical Analysis
Basic polynomial and spline interpolation, linear regression, basic numerical integration.