[ENGLISH] Course contents:
The set R: real numbers, operations, properties. The set : vectors, operations, properties.
Functions: composite function, inverse function. Real functions of one real variable: domain, maxima/minima, convexity, other properties. Real functions of n real variables: domain, maxima/minima, convexity, other properties.
One-variable differential calculus. Difference quotient, derivative. Differentiability. Differentiation rules. Fermat and Lagrange's Theorems. Higher-order derivatives. Taylor formula. Convexity and optimization conditions.
N-variable differential calculus. Partial derivatives and gradient. Differentiability. Unconstrained extrema: optimization conditions. Constrained extrema, lagrangean function.