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Lecturer(s)
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Dostal Rostislav, Ing. Ph.D.
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Vávrová Miroslava, RNDr.
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Course content
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1. Introduction. Basic mathematical notions (sets, statements, quantifiers). 2. Vector algebra - inner and vector product, linear dependence and independence. 3. Analytic geometry in plane and in 3D - lines, planes. 4. Conics and quadratic faces. 5. Functions of one real variable, basic properties. 6. Elementary functions. 7. Limits and continuity of a function. 8. Derivative, tangent line of graph real function, its applications. 9. Extremes of functions, solving optimiyation problems. 10. Integral calculus, indefinite and definite integrals. 11. Techniques of integration, substitution, integration by parts. 12. Applications of integral calculus. 13. Matrix. Operations with matrices. 14. Determinant of a matrix. 15. Systems of linear algebraic equations.
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Learning activities and teaching methods
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Interactive lecture, Task-based study method, Students' self-study, Practicum
- Preparation for comprehensive test (10-40)
- 30 hours per semester
- Contact hours
- 45 hours per semester
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| prerequisite |
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| Knowledge |
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| Students should be familiar with a high school algebra mathematic. |
| Skills |
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| Understand basic mathematical operations from high school. |
| Competences |
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| N/A |
| N/A |
| learning outcomes |
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| Knowledge |
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| Students are supposed to understand elementary theory of linear space (linear space of matrixes, etc.) as well as vectors and matrix algebra. They will be ready to solve systems of linear algebraic equations. The main objective is to develop basic skills in computing and to show various techniques for solving problems: find the tangent line of graph real function at a given point, solve extremal problems of function or tasks of integral calculus, e.g. calculation of areas. |
| Skills |
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| Apply the theoretical knowledge of mathematics to a wider application in various specialization areas. |
| Competences |
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| N/A |
| N/A |
| teaching methods |
|---|
| Knowledge |
|---|
| Interactive lecture |
| Practicum |
| Task-based study method |
| Self-study of literature |
| Skills |
|---|
| Interactive lecture |
| Practicum |
| Task-based study method |
| Self-study of literature |
| Competences |
|---|
| Interactive lecture |
| Practicum |
| Task-based study method |
| Self-study of literature |
| assessment methods |
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| Knowledge |
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| Test |
| Skills demonstration during practicum |
| Skills |
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| Test |
| Skills demonstration during practicum |
| Competences |
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| Test |
| Skills demonstration during practicum |
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Recommended literature
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Delventhal, Katka Maria; Kissner, Alfred; Kulick, Malte. Kompendium matematiky : vzorce a pravidla : četné příklady včetně řešení : od základních operací po vyšší matematiku. V Praze : Euromedia Group - Knižní klub, 2004. ISBN 80-242-1227-7.
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Dolanský, Petr. Matematika pro distanční studium. 1. Plzeň : Západočeská univerzita, 2000. ISBN 80-7082-643-6.
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Vošický, Zdeněk. Matematika v kostce : [pro střední školy]. 1. vyd. Havlíčkův Brod : Fragment, 1996. ISBN 80-7200-012-8.
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