1MAB1 | Mathematics 1 | Materials and Mechanics - Apprenticeship | S5 | ||||||
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Lessons : 12 h | TD : 12 h | TP : 0 h | Project : 0 h | Total : 24 h | |||||
Co-ordinator : Patricia Jouannot-Chesney |
Prerequisite | |
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Basic knowledge of matrices, classical functions and their derivatives and simple integral calculations. | |
Course Objectives | |
To consolidate or acquire some of the basic mathematical knowledge essential to the comprehension of the courses of mechanics and materials. | |
Syllabus | |
I. Linear transformations, Euclidean space : dot product, norm II. Matrices: determinant, rank, trace, diagonalization III. Integral calculation (change of variables, integration by parts ...) IV. Ordinary Differential Equations with constant coefficients (1st, 2nd order and order n). Ordinary Differential Equations of 1st order V. Maclaurin series |
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Practical work (TD or TP) | |
Vector calculations to compute stress fields and solid deformations | |
Acquired skills | |
At the end of this course, the students will be able to follow courses dealing with mechanics or materials without being hampered by difficulties in elementary mathematics. | |
Bibliography | |
R. BRONSON. Equations différentielles. Méthodes et applications. Série Schaum, Mc Graw-Hill, 1994. C. CARCHEREUX, F. LUSSIER, G. DE MONICAULT, S. NICOLAS, B. CAMINADE, dirigé par C. GAUTIER, A. WARUSFEL. Mathématiques tout-en-un BCPST 1ère année, Cours et exercices corrigés. Dunod, 2008. F. LIRET, M. ZISMAN. Maths, Tome 2. Dunod, 1984. F. LUSSIER, G. DE MONICAULT, S. NICOLAS, M. RAMIS, B. CAMINADE, dirigé par C. GAUTIER, A. WARUSFEL. Mathématiques tout-en-un BCPST 2e année, le cours de référence. Dunod, 2007. J. PICHON. Primitives, équations différentielles. Ellipses, 1989. http://mathworld.wolfram.com/ http://fr.wikipedia.org/wiki/Portail:Mathématiques |
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