Preliminary notions: sets, number sets, funcions; real line, cartesian plane. Vectors in R^n. Matrices. Rank. Gauss elimination. Detrminat of square matrices and applications. Lines, Planes and circles. Linear systems: study and resolution. Change of plane coordinates. Linear applications. Diagonalization.
COMBINATORICS AND DISCRETE PROBABILITY:
Induction. Binomial coefficient. Permutations, dispositions and combinations. Sample and probability space. Notion of probability. Conditional probability. Independence. Discrete random variables. Some important distributions.