Digital educational booklet 2016/2017
| 1M1AB1 | Mathématiques | Materials and Chemistry | S5 | ||||||
|---|---|---|---|---|---|---|---|---|---|
| Cours : 14 h | TD : 14 h | TP : 0 h | Projet : 0 h | Total : 28 h | |||||
| Responsable : Philippe Descamps | |||||||||
| Pré-requis | |
|---|---|
| Elementary mathematics: trigonometric functions - exponential -logarithmic - power polynomials complex numbers coordinate systems |
|
| Objectifs de l'enseignement | |
| The purpose of this course is to introduce some mathematical methods used to solve engineering problems in physical chemistry. | |
| Programme détaillé | |
| Elements of functional analysis (pre-Hilbert space) Integral Calculus. (operator, perturbation method, numerical approach). Fourier Transform. Sampling and Shannon criterion. Matrices and linear operator. Notion of tensor (strain and stress). Ordinary and Partial differential equations(ODEs and PDEs). Dynamical systems theory. Numerical methods for minimization (conjugate gradient, simulated annealing, ...) |
|
| Applications (TD ou TP) | |
| Some applications in spectroscopy, signal processing, quantum chemistry, materials science, chemical kinetics, thermodynamics and numerical methods. | |
| Compétences acquises | |
| Complex problem modeling in physical chemistry. Numerical approximations to the solution of physical phenomena. |
|
| Bibliographie | |
| * [1] M. Kibler. Éléments de mathématiques pour la physique et la chimie. Éd. scientifiques GB, 2001 * [2] J.-M. Bony. Méthodes mathématiques pour les sciences physiques. Éd. de l’École polytechnique, 2001 * [3] J.-P. Provost et G. Vallée. Les maths en physique : La physique à travers le filtre des mathématiques. Dunod, 2006 |
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