Adapted Mathematics I : applied analysis - algebra
Goals
We present basic tools for algebra and analysis : vector spaces, polynomials, orthogonalization, matrices and diagonalization, integration, differential calculus, optimization, ordinary differential equations
Programme
Algebra : Polynomials. Hilbert spaces, euclidean spaces. Matrices, determinant. Eigenvalues, eigenvectors and applications.
Analysis : Recap and complements. Lebesgue's integration. Integration : theorems and functional spaces. Differential calculus and optimization. Ordinary differential equations.
Sustainable development
DD&RS level 1
Activity contextualised through environmentally sustainable development and social responsibility and/or supported by examples, exercises, applications.
Assessment method
Final mark = 75% Knowledge + 25% Know-how Knowledge mark = 100% final exam Know-how mark = 100% continuous assessment
Bibliography
- C. Gasquet, P. Witomski, Analyse de Fourier et applications, Masson, 1990.0
- J.-M. Monier, Mathématiques, méthodes et exercices MP., Dunod, 2009.0
- D. Fredon, Mathématiques, résumé du cours en fiches MPSI-MP, Vuibert, 2010.0
Code
Responsibles
- Abdel-Malek ZINE
- Hélène HIVERT
- Pierre ROUX