| Course title | Math drill |
|---|---|
| Course code | KMA/PDRIL |
| Organizational form of instruction | Lesson |
| Level of course | Bachelor |
| Year of study | not specified |
| Semester | Summer |
| Number of ECTS credits | 2 |
| Language of instruction | Czech |
| Status of course | unspecified |
| Form of instruction | Face-to-face |
| Work placements | Course does not contain work placement |
| Recommended optional programme components | None |
| Course availability | The course is available to visiting students |
| Lecturer(s) |
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| Course content |
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Practice: 1. Sets, numbers, inequality, supremum and infimum, logic, proofs in mathematics, functions. 2. Compositions of functions, inverse functions, mathematical functions and their properties, plane curve. 3. Sequences of real numbers, limits. 4. Continuity and limits of functions. 5. Derivatives and differentials. 6. Repetition. 7. Theorems about continuous functions, the mean value theorems, l´Hospital rule. 8. Monotone functions, convex and concave functions, meaning of the first and second derivative, inflexion, relative and absolute extrema, asymptotes, investigation of functions. 9. Investigation of functions. 10. Riemann and primitive integral, integration by parts and by substitution, the fundamental theorems of integral calculus. 11. Integration of rational and some irrrational functions. 12. Integration of rational and some irrrational functions. 13. Geometric applications of Riemann integral, basic numerical methods for nonlinear equations and basic numerical quadratures. 14. Repetition.
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| Learning activities and teaching methods |
Practicum
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| Learning outcomes |
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The subject is determined to drill calculus (differential and integral) of function of one real variable.
Calculus (differential and integral) of function of one real variable. |
| Prerequisites |
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Knowledge of secondary school mathematics.
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| Assessment methods and criteria |
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Combined examination
Credit: Active participation on seminars + tests. |
| Recommended literature |
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| Study plans that include the course |
| Faculty | Study plan (Version) | Category of Branch/Specialization | Recommended semester |
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