|
1
|
1
|
Sep 24, 2025
|
14:00
|
2
|
KL:B-307
|
Number sets, sequences of numbers, basic notions and properties of the sequences, limit of a sequence.
|
prof. RNDr. Jiří Neustupa, CSc.
|
|
2
|
1
|
Oct 1, 2025
|
14:00
|
2
|
KL:B-307
|
More on the set of complex numbers, operations with complex numbers. Series of real and complex numbers, sum of a series, comparison test for convergence. Power series.
|
prof. RNDr. Jiří Neustupa, CSc.
|
|
3
|
1
|
Oct 8, 2025
|
14:00
|
2
|
KL:B-307
|
Real function of one real variable, basic notions, operations with functions, composite and inverse function, survey of elementary functions.
|
prof. RNDr. Jiří Neustupa, CSc.
|
|
4
|
1
|
Oct 15, 2025
|
14:00
|
2
|
KL:B-307
|
Limit of a function, basic properties. Improper limits and limits in improper points. Continuity of a function at a point and in an interval, properties of continuous functions.
|
prof. RNDr. Jiří Neustupa, CSc.
|
|
5
|
1
|
Oct 22, 2025
|
14:00
|
2
|
KL:B-307
|
Derivative of a function, geometrical and physical meaning, basic properties and formulas for derivatives of a sum, difference, product and quotient of two functions. Derivative of a composite and inverse function. Derivatives of elementary functions.
|
prof. RNDr. Jiří Neustupa, CSc.
|
|
6
|
1
|
Oct 29, 2025
|
14:00
|
2
|
KL:B-307
|
L’Hospital’s rule. Higher order derivatives. Investigation of local and global extremes of functions by means of the derivative.
|
prof. RNDr. Jiří Neustupa, CSc.
|
|
7
|
1
|
Nov 5, 2025
|
14:00
|
2
|
KL:B-307
|
Vertical and slant asymptotes of the graph of a function. Behavior of a function. Differential of a function.
|
prof. RNDr. Jiří Neustupa, CSc.
|
|
8
|
1
|
Nov 12, 2025
|
14:00
|
2
|
KL:B-307
|
Taylor’s polynomial. Taylor’s series. Concrete examples: Taylor’s polynomials and Taylor’s series of the exponential function and the functions sin x and cos x.
|
prof. RNDr. Jiří Neustupa, CSc.
|
|
9
|
1
|
Nov 19, 2025
|
14:00
|
2
|
KL:B-307
|
Vector space. Linear combination of vectors. Linear dependence and independence of vectors. Basis and dimension of a vector space.
|
prof. RNDr. Jiří Neustupa, CSc.
|
|
10
|
1
|
Nov 26, 2025
|
14:00
|
2
|
KL:B-307
|
Subspace of a vector space. Linear hull of a group of vectors. Matrices, types of matrices, operations with matrices. Rank of a matrix, finding the rank.
|
prof. RNDr. Jiří Neustupa, CSc.
|
|
11
|
1
|
Dec 3, 2025
|
14:00
|
2
|
KL:B-307
|
A square matrix, identity matrix, inverse matrix, regular and singular matrices. Determinant of a square matrix, methods of evaluation.
|
prof. RNDr. Jiří Neustupa, CSc.
|
|
12
|
1
|
Dec 10, 2025
|
14:00
|
2
|
KL:B-307
|
Relation between the determinant and the existence of an inverse matrix. Methods of evaluation of the inverse matrix. System of linear algebraic equations, homogeneous and inhomogeneous system.
|
prof. RNDr. Jiří Neustupa, CSc.
|
|
13
|
1
|
Dec 17, 2025
|
14:00
|
2
|
KL:B-307
|
Structure of the set of all solutions of the hoimogeneous and inhomogeneous system of linear algebraic equations. Gauss elimination method.
|
prof. RNDr. Jiří Neustupa, CSc.
|
|
14
|
1
|
Jan 7, 2026
|
14:00
|
2
|
KL:B-307
|
Frobenius’ theorem. Cramer’s rule. Eigenvalues and eigenvectors of squate matrices.
|
prof. RNDr. Jiří Neustupa, CSc.
|