Schedule of lectures of 17ABBLAD (semester B191)

Week Par Date Time Hours Room Subject Teacher
1 1 Sep 21, 2020 14:00 2 B230 Introduction to differential calculus -Number sets, sequences and their properties - monotony, boundedness. Supremum, infimum, maximum, minimum, and a limit of a sequence. RNDr. Eva Feuerstein, Ph.D.
2 1 Oct 28, 2019 8:00 2 B230 State Holiday - Self study - Real function of one real variable, elementary functions review, operations on functions, properties of a function, composite functions, inverse function, limit of a function, one sided limits, rules for limit calculation RNDr. Eva Feuerstein, Ph.D.
3 1 Oct 7, 2019 14:00 2 B230 Application of a limit, asymptotes of a function, continuity of a function, derivative of a function, rules for differentiation RNDr. Eva Feuerstein, Ph.D.
4 1 Oct 14, 2019 14:00 2 B230 Tangent and normal lines of a function, differential of a function, derivative of composite functions, , L'Hospital’s rule. RNDr. Eva Feuerstein, Ph.D.
5 1 Oct 21, 2019 14:00 2 B230 Higher order derivatives, function monotonicity, local extremes, concavity/convexity of a function, points of inflexion, investigation of function behavior. RNDr. Eva Feuerstein, Ph.D.
6 1 Oct 28, 2019 14:00 0 B230 State holiday RNDr. Eva Feuerstein, Ph.D.
7 1 Nov 4, 2019 14:00 2 B230 Number series, convergence, divergence, geometric series, alternating series. Criteria of convergence, Taylor’s polynomial RNDr. Eva Feuerstein, Ph.D.
8 1 Nov 11, 2019 14:00 2 B230 Introduction to linear algebra - Linear combination of vectors, linear dependence or independence of a set of vectors. Span of a set of vectors, vector space, vector subspace, basis and dimension of vector space/subspace. RNDr. Eva Feuerstein, Ph.D.
9 1 Nov 18, 2019 14:00 2 B230 Matrices, various examples of matrices, rank of a matrix, matrix operations, square matrices and properties, inverse of a matrix RNDr. Eva Feuerstein, Ph.D.
10 1 Nov 25, 2019 14:00 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. RNDr. Eva Feuerstein, Ph.D.
11 1 Dec 2, 2019 14:00 2 B230 Solvability of a linear algebraic equation system (LAES), Frobenius theorem, calculation of all solutions of LAES. Cramer’s rule for solving LAES with regular matrix.. RNDr. Eva Feuerstein, Ph.D.
12 1 Dec 9, 2019 14:00 2 B230 Matrix equations solution. Inverse matrix calculation according to the definition (via determinants). Eigenvalues and eigenvectors of square matrices. RNDr. Eva Feuerstein, Ph.D.
13 1 Dec 16, 2019 14:00 2 B230 Analytical geometry in E2 plane in E3, vectors in E3 ,angle of two vectors, orthogonality, vector triple products, scalar triple product and applications. RNDr. Eva Feuerstein, Ph.D.
14 1 Jan 6, 2020 14:00 2 B230 Application of determinants. Conics, quadrics and their invariants, classification of conics/quadrics. RNDr. Eva Feuerstein, Ph.D.
Total 26