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Mathematics
Bachelor 1st year
Record #71

Course

Mathematics

Keywords

Multilinear algebra, real multivariate functions, differential calculus.

Contents

Multi-dimensional algebra. Vector space, subspaces, basis, dimension, coordinates, linear maps, matrices.
Differential calculus for single and two real variables functions. Derivative, partial derivatives, linear local approximation , derivatives of composite functions, implicit function theorem.
Polynomial local approximation of a single real variable function : Taylor polynomial.

Degree

Bachelor 1st year

Curriculum

Economics and Management

Skills

Using and understanding derivatives, differential for single real variable functions, partial derivatives and total differential for two real variables functions. Asymptotic comparisons of functions.
Using implicit functions theorem to prove existence of a real variable function locally defined by an implicit relation.
Using Taylor polynomial to find a limit.
Recognizing subspaces of IR n, , using dimension, coordinates in space vectors. Defining a linear map explicitely or by a matrix.

Teaching

Patrick Beau - PRAG - Hourly volume: 24

Hourly volume - Lectures

24

Hourly volume - Tutorial classes

24

Semester

1