Goal: The aim of the subject is to acquire the mathematical knowledge necessary for IT.
Course description:
Numeral systems, conversion. Fixed- and floating-point number representations. Basic concepts of number theory: divisibility and its properties, prime factorization. Concept of series, notable series. Recursive definition of sequences.
Proofs: mathematical induction and indirect proof. Linear algebra: concept of a matrix, operations, inverse matrix. Calculating the
determinant of a square matrix, properties. Systems of linear equations, solution by Cramer’s rule, and by Gaussian elimination.
Mathematical logic: operations of propositional logic, logical functions. Formulae, normal forms, Karnaugh-map. Arguments. Basic concepts of predicate logic. Combinatorics.
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