DISCRETE MATHEMATICS AND LINEAR ALGEBRA -- Sets and mappings -- Logic -- Natural numbers, complete induction, recursion -- Some number theory -- Algebraic structures -- Vector spaces -- Matrices -- Gaussian algorithm and systems of linear equations -- Eigenvalues, eigenvectors and basis transformations -- Scalar product and orthogonal maps -- Graph theory -- ANALYSIS -- The real numbers -- Sequences and series -- Continuous functions -- Differential calculus -- Integral calculus -- Differential equations -- Numerical methods -- PROBABILITY AND STATISTICS -- Probability spaces -- Random variables -- Important distributions and stochastic processes -- Statistical methods -- Appendix.