General mathematics II [ LBIR1200 ]

Precursory courses : MATH 1160 Written evaluation

1st part. Linear algebra: Linear spaces and linear maps, eigenvalues and eigenvectors, quadratic forms, euclidian spaces, orthogonal projections, least squares approximations. 2nd part. Multivariable calculus: Limits and continuity, derivatives, extrema of real functions, multiple integrals, introduction to curves and surfaces, curvilinear and surface integrals, theorems of Stokes and Gauss. 3rd part. Differential equations: Generalities and classification, linear equations of arbitrary order with constant coefficients, elements on partial differential equations.

1. To complete the basic education in mathematics, namely in linear algebra and in calculus. 2. To prepare the students to activities of integrated exercices in mathematics and computer science.

This course details subjects that have been introduced in the course MATH1160 'Mathématiques générales I'. It is divided into three parts : linear algebra, differential equations and functions of several real variables. The theory is illustrated by practical exercices. This activity is coordinated with the course BIR 1201 'Exercices intégrés en mathématiques et informatique'.