Course description

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.
6.		Summary and 1st exam
7.		Elementary functions (constant, linear, power, exp, log, trigonometric), polynomials, step functions. R.
8.		Limit of functions, basic properties. Continuous functions.
9.		Differentiation, rules, derivatives of elementary functions.
10.		Monotonicity, local minimum, maximum, convexity, inflexion point. Analysis of functions.
11.
12.
13.		Summary and 2nd exam
14.		1st and 2nd repeat exams

 

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