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Week 1. 1. Sets, Descartes products, relations, graphs, logic. 2. 2. Vectors (scalar product, orthogonal vectors), matrices (unit, diagonal, symmetric, transposed, orthogonal, product of matrices). 3. Linear combinations, independence of vectors. System of linear equations. Matrix form. Solution. 4. Sequences, convergence, operations, properties. Series. 5. Functions, domain, range, basic operations of functions, composition, inverse.