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Lecturer(s)
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Caletka Tomáš, RNDr. CSc.
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Course content
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1. Vector functions one real variable; curves in Rn. 2. Complex functions one real variable. 3. Sequences and series of functions. 4. Trigonometric Fourier series. 5. General Fourier series. 6. Differential mappings, vector field. 7. Two dimensional manifold in Rn. Differential characteristics of vector fields. 8. Integral calculus of functions of several variables. 9. Integral with parameter. 10. Methods of calsulus of triple integrals.
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Learning activities and teaching methods
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Seminar
- Contact hours
- 26 hours per semester
- Preparation for comprehensive test (10-40)
- 26 hours per semester
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| prerequisite |
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| Knowledge |
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| There is no prerequisite for this course. Students should be familiar with basic notions of mathematical analysis to the extent of the course KMA/MA1. |
| learning outcomes |
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| By the end of the course, a successful student should be able to: 1. Deal with function sequences and function series; 2. Expend a function into a power of Fourier series; 3. Describe curves in Rn and work with them; 4. Determine properties of functions of more variables; 5. Compute directional and partial derivatives of functions of more variables; 6. Formulate basic min/max problems and solve them using differential calculus; 7. Evaluate double and triple integrals; 8. Deal with integrals depending on parameters; 9. Use developed theory in solving problems on physical systems. |
| teaching methods |
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| Seminar |
| assessment methods |
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| Test |
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Recommended literature
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Drábek, Pavel; Míka, Stanislav. Matematická analýza II. 3. nezm. vyd. Plzeň : ZČU, 1999. ISBN 80-7082-528-6.
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Tomiczek Petr. Matematická analýza 2.
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