Doležalová, J.: Mathematics I. VŠB – TUO, Ostrava 2005, ISBN 80-248-0796-3.
Trench, W.F.: Introduction to real analysis, Free Edition 1.06, January 2011, ISBN 0-13-045786-8 .
Ukončeno v akademickém roce 2019/2020
Repetition of Mathematics 1
| Type of study | Bachelor |
|---|---|
| Language of instruction | Czech |
| Code | 714-0236/01 |
| Abbreviation | Repet 1 |
| Course title | Repetition of Mathematics 1 |
| Credits | 1 |
| Coordinating department | Department of Mathematics and Descriptive Geometry |
| Course coordinator | RNDr. Petr Volný, Ph.D. |
Osnova předmětu
Syllabus of tutorial
1. Domain of a real function of one real variable.
2. Bounded function, monotonic functions, even, odd and periodic functions.
3. One-to-one functions, inverse and composite functions. Elementary functions.
4. Inverse trigonometric functions. Limit of functions.
5. Derivative and differential of functions.
6. l’Hospital rule. Monotonic functions, extrema of functions.
7. Concave up function, concave down function, inflection point.
8. Asymptotes. Course of a function.
9. Matrix operations.
10. Elementary row operations, rank of a matrix, inverse.
11. Determinants.
12. Solution of systems of linear equations. Gaussian elimination algorithm.
13. Analytic geometry.
14. Reserve.
1. Domain of a real function of one real variable.
2. Bounded function, monotonic functions, even, odd and periodic functions.
3. One-to-one functions, inverse and composite functions. Elementary functions.
4. Inverse trigonometric functions. Limit of functions.
5. Derivative and differential of functions.
6. l’Hospital rule. Monotonic functions, extrema of functions.
7. Concave up function, concave down function, inflection point.
8. Asymptotes. Course of a function.
9. Matrix operations.
10. Elementary row operations, rank of a matrix, inverse.
11. Determinants.
12. Solution of systems of linear equations. Gaussian elimination algorithm.
13. Analytic geometry.
14. Reserve.