Mathematics
Multilinear algebra, real multivariate functions, differential calculus.
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.
Bachelor 1st year
Economics and Management
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.
Patrick Beau - PRAG - Hourly volume: 24
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