# Schedule of tutorials of 17ABBLAD (semester B191)

Week Par Date Time Hours Room Subject Teacher
1 1 Sep 23, 2019 16:00 2 B230 Number sets, sequences and their properties - monotony, boundedness. Supremum, infimum, maximum, minimum, and a limit of a sequence. High school math revision and a test RNDr. Eva Feuerstein, Ph.D.
2 1 Oct 7, 2019 18:00 2 B230 Elementary functions, operations on functions, domain, range, properties of a function, limit of a function, composite functions, inverse function MT1- sequences and their properties, minimum, maximum, supremum, infimum, limit. RNDr. Eva Feuerstein, Ph.D.
3 1 Oct 7, 2019 16:00 2 B230 Asymptotes of a function, composite function, inverse function, derivative of a function, rules for differentiation MT2 – functions and their properties(domain, even, odd, periodic function) RNDr. Eva Feuerstein, Ph.D.
4 1 Oct 14, 2019 16:00 2 B230 Tangent and normal lines of a function, continuity, derivative of composite functions, differential of a function, L'Hospital’s rule MT3 – asymptotes, limit and continuity of function. RNDr. Eva Feuerstein, Ph.D.
5 1 Oct 21, 2019 16:00 2 B230 Derivative and its application – function monotonicity, concavity/convexity. Extremes and points of inflexion, higher order derivatives. MT4 – tangent line, differential of function, L'Hospital’s rule. RNDr. Eva Feuerstein, Ph.D.
6 1 Oct 28, 2019 16:00 0 B230 State holiday Tutorials cancelled - Homework - Investigation of function behavior. Revision before 1st mid-term test. RNDr. Eva Feuerstein, Ph.D.
7 1 Nov 4, 2019 16:00 2 B230 Taylor’s formula, number series, convergence. Gaussian elimination for solving linear algebraic equation system. RNDr. Eva Feuerstein, Ph.D.
8 1 Nov 11, 2019 16:00 2 B230 Linear combination, linear dependence/independence of a set of vectors. Span of vectors, vector space(vs), vector subspace(vss), basis and dimension of vs, vss. MT5 – investigation of a function behavior, monotony, local extremes, convexity, concavity, po RNDr. Eva Feuerstein, Ph.D.
9 1 Nov 18, 2019 16:00 2 B230 Matrices, various examples of matrices, rank of a matrix, matrix operations. MT6 –series, Taylor polynomial RNDr. Eva Feuerstein, Ph.D.
10 1 Nov 25, 2019 16:00 2 B230 Determinant of a square matrix, Sarrus’ rule, Laplace expansion with respect to a row or to a column. Gaussian elimination for calculation an inverse of a given matrix. MT7 –matrix operations, rank of a matrix. RNDr. Eva Feuerstein, Ph.D.
11 1 Dec 2, 2019 16:00 2 B230 Solvability of a linear algebraic equation system(LAES), Frobenius theorem, calculation of all solutions of LAES. MT8 – determinants, Sarrus’ rule, Laplace expansion. RNDr. Eva Feuerstein, Ph.D.
12 1 Dec 9, 2019 16:00 2 B230 Matrix equations solution. Cramer’s rule for solving linear algebraic system of equations. Inverse matrix calculation according to the definition (via determinants). Eigenvalues and eigenvectors of square matrices. MT9– Solvability of LAES, all solutions RNDr. Eva Feuerstein, Ph.D.
13 1 Dec 16, 2019 16:00 2 B230 Vectors in E3 . Angle of two vectors, orthogonality, vector triple products, scalar triple product and their applications. Analytical geometry in E2 plane in E3 MT10 – Eigenvalues and eigenvectors of a square matrix. RNDr. Eva Feuerstein, Ph.D.
14 1 Dec 16, 2019 16:00 2 B230 Application of determinants. Conics, quadrics and their invariants, classification of conics/quadrics. RNDr. Eva Feuerstein, Ph.D.
Total 26