Mathematics I (en)
MAT I-en-5-MP
| Subject | Mathematics I (en) (MAT I-en) |
| Guarantee |
doc. RNDr. Jaromír Kuben, CSc. |
| Department | Department of Mathematics and Physics |
| Specialization | NO |
| Profiling subject | NO |
| Theory profiling subject | NO |
| Final exam | NO |
| Multi semestral subject | NO |
| Subject is guaranted by other school | NO |
| Optionality | Povinně volitelný |
| Clasification | Zápočet + Zkouška |
| Credits | 5 |
| Recommended year/semester | 1/1 |
| Number of weeks | 14 |
| Celkem (h) | Př. | Cv. | Lab. | Sem. | Kurzy | Praxe | Stáže | Soustř. | Exkurze | Terén | SP | Konzultace | PV | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Revision of secondary school mathematics | 4 | 0 | 4 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| Real functions of a single variable | 6 | 2 | 2 | 2 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| Elementary functions | 4 | 2 | 2 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| Polynomials and rational functions | 6 | 2 | 4 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| Limit and continuity of functions | 4 | 2 | 2 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| Derivative of a function | 8 | 4 | 4 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| Applications of derivatives | 18 | 8 | 8 | 2 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| Approximation of functions by polynomials | 4 | 2 | 2 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| Indefinite integral | 12 | 6 | 6 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| Definite integral | 4 | 2 | 2 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| Geometrical and physical applications of definite integral | 6 | 2 | 2 | 2 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| Improper integral | 8 | 4 | 4 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
Povinná:
<p>[1] Kuben, J. Differential calculus for functions of a single variable. Skriptum. 1. vydání. Brno: Univerzita obrany, 2012. x+321 s. Dostupné v knihovně UO pod číslem S-3573. ISBN 978-80-7231-849-0. Elektronická verze do-stupná z https://moodle.unob.cz/course/view.php?id=356 [cit. 2022-10-18]</p>
<p>[2] Kuben, J. Integral calculus for functions of a single variable. Skriptum. 1. vydání. Brno: Univerzita obrany, 2011. x+227 s. Dostupné v knihovně UO pod číslem S-3146. ISBN 978-80-7231-798-1. Elektronická verze dostupná z https://moodle.unob.cz/course/view.php?id=356 [cit. 2022-10-18]</p>
<p>[1] Kuben, J. Differential calculus for functions of a single variable. Skriptum. 1. vydání. Brno: Univerzita obrany, 2012. x+321 s. Dostupné v knihovně UO pod číslem S-3573. ISBN 978-80-7231-849-0. Elektronická verze do-stupná z https://moodle.unob.cz/course/view.php?id=356 [cit. 2022-10-18]</p>
<p>[2] Kuben, J. Integral calculus for functions of a single variable. Skriptum. 1. vydání. Brno: Univerzita obrany, 2011. x+227 s. Dostupné v knihovně UO pod číslem S-3146. ISBN 978-80-7231-798-1. Elektronická verze dostupná z https://moodle.unob.cz/course/view.php?id=356 [cit. 2022-10-18]</p>
Ústní, písemná.