LINEAR ALGEBRA: Sets, number sets, functions; real line, cartesian plane. Vectors in R^n. Matrices. Rank. Gauss elimination. Determinant and applications. Scalar product. Lines, planes and circles. Linear systems: study and resolution. Change of coordinates. Linear applications. Diagonalization.
PROBABILTY: elements of combinatorics. Measure and probability. set-theoretic formulas. independence, total probability, Bayes'''''''' theorem. Distributions.