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Lecturer(s)
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Štětina Petr, RNDr.
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Vávrová Miroslava, RNDr.
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Course content
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1. Matrix. 2. Determinants. 3. Inverse matrix. Cramer's rule. 4. Techniques of integration, substitution, integration by parts. 5. Applications of integral calculus. 6. Grow/Decay equation. 7. Techniques for linear differential equation . 8. Sequences. 9. Difference of a sequence, difference of higher orders. Difference equation. 10. Linear difference equation. 11. Partial derivation and gradient. 12. Extremes of functions of multiple variables. 13. Resume, conclusion.
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Learning activities and teaching methods
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Seminar classes, Seminar, Practicum
- Contact hours
- 26 hours per semester
- Preparation for formative assessments (2-20)
- 10 hours per semester
- Preparation for comprehensive test (10-40)
- 18 hours per semester
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| prerequisite |
|---|
| Knowledge |
|---|
| There is no prerequisite for this course. Students should be familiar with basic notions of the course KMA/ZM1. |
| Skills |
|---|
| use solution techniques from the course KMA/ZM1 |
| Competences |
|---|
| N/A |
| N/A |
| learning outcomes |
|---|
| Knowledge |
|---|
| of integral calculus in R |
| of basic elements of differential calculus in Rn (partial derivatives, optimization problems) |
| of basic notions from the theory of ordinary differential equations |
| Skills |
|---|
| to use basic integration techniques (integration by parts, by substitution) |
| to solve elementary differential equations of the 1st and 2st order |
| to solve basic optimization problems |
| Competences |
|---|
| N/A |
| teaching methods |
|---|
| Knowledge |
|---|
| Practicum |
| Skills |
|---|
| Practicum |
| Competences |
|---|
| Practicum |
| assessment methods |
|---|
| Knowledge |
|---|
| Test |
| Skills demonstration during practicum |
| Skills |
|---|
| Test |
| Competences |
|---|
| Test |
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Recommended literature
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Jirásek, František; Vacek, Ivan; Čipera, Stanislav. Sbírka řešených příkladů z matematiky II. 1. vyd. Praha : SNTL, 1989.
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Mašek, Josef. Základy matematiky II : cvičení. 1. vyd. Plzeň : ZČU, 1999. ISBN 80-7082-507-3.
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