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Propositional and first order logic. Sets, relations, functions, partial orders and lattices. Groups. Graphs: connectivity, matching, coloring. Combinatorics: counting, recurrence relations, generating functions.
Matrices, determinants, system of linear equations, eigenvalues and eigenvectors, LU decomposition.
Limits, continuity and differentiability. Maxima and minima. Mean value theorem. Integration.
Random variables. Uniform, normal, exponential, poisson and binomial distributions. Mean, median, mode and standard deviation. Conditional probability and Bayes theorem.