|
1
|
1
|
Sep 19, 2022
|
16:00
|
2
|
B230
|
S1 Entrance test - secondary school mathematics (does not count towards assessment). Number sets. Sequences - their properties (monotony, boundedness), minimum, maximum, supremum, infimum, limit of a sequence.
|
RNDr. Eva Feuerstein, Ph.D.
|
|
1
|
1
|
Sep 21, 2022
|
10:00
|
2
|
B435
|
L1 Sequences and their properties (monotony, boundedness), minimum, maximum, supremum, infimum, limit. Examples in MATLAB, including visualization. This Lab will be next week upon agreement.
|
RNDr. Eva Feuerstein, Ph.D.
|
|
2
|
1
|
Sep 26, 2022
|
16:00
|
2
|
B230
|
S2 Overview of elementary functions. Operations with functions, composite function, inverse function, limit of a function, continuity of a function. MT1- sequences, properties, minimum, maximum, supremum, infimum, limit.
|
RNDr. Eva Feuerstein, Ph.D.
|
|
3
|
1
|
Oct 3, 2022
|
16:00
|
2
|
B230
|
S3 Vertical and oblique asymptotes, function graph. Derivative - derivative calculation. MT2 – function, its domain and properties (even, odd, periodic), function limit, continuity.
|
RNDr. Eva Feuerstein, Ph.D.
|
|
2
|
1
|
Sep 28, 2022
|
10:00
|
2
|
B435
|
L2 Overview of elementary functions. Operations with functions, composite function, inverse function. Limits and continuity of function. Visualization.
|
RNDr. Eva Feuerstein, Ph.D.
|
|
4
|
1
|
Oct 10, 2022
|
16:00
|
2
|
B230
|
S4 Derivative of a compound function, derivative of an inverse function. Application of the derivative - tangent and normal to the graph of a function, differential of a function, L'Hospital's rule. MT3 – asymptotes, function limits, derivatives.
|
RNDr. Eva Feuerstein, Ph.D.
|
|
3
|
1
|
Oct 5, 2022
|
10:00
|
2
|
B435
|
L3 Vertical and oblique asymptotes of a function graph. Limit calculations. First derivative, rules for derivative calculation. Visualization.
|
RNDr. Eva Feuerstein, Ph.D.
|
|
4
|
1
|
Oct 12, 2022
|
10:00
|
2
|
B435
|
L4 Derivative of a compound function, derivative of an inverse function. Application of the derivative - tangent and normal to the graph of a function, differential of a function, L'Hospital's rule. Visualization
|
RNDr. Eva Feuerstein, Ph.D.
|
|
5
|
1
|
Oct 17, 2022
|
16:00
|
2
|
B230
|
S5 Derivative and its application – function monotonicity, local extremes, concavity/convexity and points of inflection, higher order derivatives.
|
RNDr. Eva Feuerstein, Ph.D.
|
|
5
|
1
|
Oct 19, 2022
|
10:00
|
2
|
B435
|
L5 First derivative use - monotony of a function, local and global extrema, second derivative use - determining the intervals where the function is convex/concave, and has points of inflection. Vizualization.
|
RNDr. Eva Feuerstein, Ph.D.
|
|
6
|
1
|
Oct 24, 2022
|
16:00
|
2
|
B230
|
S6 Investigation of the function behavior. Application of derivative, real life examples. MT5 – derivative of a function, L'Hospital's rule.
|
RNDr. Eva Feuerstein, Ph.D.
|
|
6
|
1
|
Oct 26, 2022
|
10:00
|
2
|
B435
|
L6 Investigation of function behavior. Application of derivative, real life examples. L'Hospital's rule use. Visualization
|
RNDr. Eva Feuerstein, Ph.D.
|
|
7
|
1
|
Oct 31, 2022
|
16:00
|
2
|
B230
|
S7 Taylor polynomial. Number series, sum of a series, convergence criteria, geometric series, alternating series. Repetition before the 1st half-semester test.
|
RNDr. Eva Feuerstein, Ph.D.
|
|
7
|
1
|
Nov 2, 2022
|
10:00
|
2
|
B435
|
L7 Taylor polynomial, calculation and applications. Number series, convergence criteria, sum of series. Geometric series, alternating series.
|
RNDr. Eva Feuerstein, Ph.D.
|
|
8
|
1
|
Nov 7, 2022
|
10:00
|
2
|
B435
|
S8 Gaussian elimination method (GEM). Linear combination of vectors, linear independence(LI)/dependence(LD) vectors, vector space (VP), bases and dimension of VP. MT6 – Number series, convergence, geometric series sum.
|
Ing. Václav Petrák, Ph.D.
|
|
8
|
1
|
Nov 9, 2022
|
10:00
|
2
|
B435
|
L8 GEM examples of use . LD and/or LI of a group of vectors. VS examples, basis and dimension of VS/VSS.
|
Ing. Václav Petrák, Ph.D.
|
|
9
|
1
|
Nov 14, 2022
|
16:00
|
2
|
B230
|
S9 Scalar product of vectors, rank of a matrix, operations with matrices. Gauss - Jordan elimination(GJE) for inverse matrix calculation. MT7 – LZ/LNZ of vectors, basis, dimension of VP, VPP.
|
Ing. Václav Petrák, Ph.D.
|
|
9
|
1
|
Nov 16, 2022
|
10:00
|
2
|
B435
|
L9 Scalar product of vectors, rank of a matrix, operations with matrices. GJE for inverse matrix calculation.
|
Ing. Václav Petrák, Ph.D.
|
|
10
|
1
|
Nov 21, 2022
|
16:00
|
2
|
B435
|
S10 Determinant of a square matrix, calculation of the determinant: Sarrus rule, Laplace expansion. Inverse matrix – calculation using determinants. MT8 – matrix operations, matrix rank calculation using GEM
|
Ing. Václav Petrák, Ph.D.
|
|
10
|
1
|
Nov 23, 2022
|
10:00
|
2
|
B435
|
L10 Determinant of a square matrix, calculation of the determinant: Sarrus rule, Laplace expansion. Inverse matrix – calculation using determinants.
|
Ing. Václav Petrák, Ph.D.
|
|
11
|
1
|
Nov 28, 2022
|
16:00
|
2
|
B230
|
S11 SLAE solvability, calculation of all SLAE solutions. Cramer's rule. MT9 – Determinant calculation, Sarrus rule, Laplace expansion
|
Ing. Václav Petrák, Ph.D.
|
|
11
|
1
|
Nov 30, 2022
|
10:00
|
2
|
B435
|
L11 SLAE solvability, calculation of all SLAE solutions. Cramer's rule. Visualization
|
Ing. Václav Petrák, Ph.D.
|
|
12
|
1
|
Dec 5, 2022
|
16:00
|
2
|
B435
|
S12 Eigenvalues and eigenvectors of a square matrices.
|
Ing. Václav Petrák, Ph.D.
|
|
12
|
1
|
Dec 7, 2022
|
10:00
|
2
|
B435
|
L12 Eigenvalues and eigenvectors of square matrices. Visualization
|
Ing. Václav Petrák, Ph.D.
|
|
13
|
1
|
Dec 12, 2022
|
10:00
|
2
|
B230
|
S13 Application of eigenvalues and eigenvectors. MT10 – calculation of eigenvalues and eigenvectors of square matrices.
|
Ing. Václav Petrák, Ph.D.
|
|
13
|
1
|
Dec 14, 2022
|
10:00
|
2
|
B435
|
L13 Application of eigenvalues and eigenvectors, and exponential functions to construct Linear Autonomous Systems with constant coefficients solution. Visualization.
|
Ing. Václav Petrák, Ph.D.
|
|
14
|
1
|
Jan 9, 2023
|
16:00
|
2
|
B230
|
S14 Conics and quadrics and their classification using determinants. Review before 2nd midterm test.
|
Ing. Václav Petrák, Ph.D.
|
|
14
|
1
|
Jan 11, 2023
|
10:00
|
2
|
B435
|
L14 Conics and quadrics and their classification. Visualization.
|
Ing. Václav Petrák, Ph.D.
|