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Lecturer(s)
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Huclová Miroslava, PhDr. Ph.D.
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Hložek Filip, Ing. Mgr.
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Hora Jaroslav, doc. RNDr. CSc.
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Course content
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1. Constant and linear functions, linear fractional functions. The inverse 2. Quadratic function. Exponential and logarithmic functions. Inverse function 3. Trigonometric functions. Charts simpler composite functions 4. Limits feature a variety of cases, the definition of knowledge, ability to apply to discussed examples of functions 5. Continuity function. Maxima and minima of functions 6. Derivation of function monotony 7. Introduction to the basic concepts of probability theory. Random variable, types and kinds 8. Basic concepts of statistics. Descriptive characteristics of one-dimensional statistical set 9. Graphical presentation of data. Descriptive and multivariate auxiliary characteristics stat. files 10. The concept of correlation, regression analysis 11. Planning of statistical experiments and statistical forms 12 Statistical hypothesis testing
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Learning activities and teaching methods
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Lecture, Seminar
- Preparation for comprehensive test (10-40)
- 40 hours per semester
- Contact hours
- 26 hours per semester
- Preparation for formative assessments (2-20)
- 20 hours per semester
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| prerequisite |
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| Knowledge |
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| knowledge of the topics covered is assumed to be at the (good) secondary school level |
| Skills |
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| skills at (good) secondary school level are assumed in the topics covered |
| Competences |
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| N/A |
| learning outcomes |
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| Knowledge |
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| knows domain of elementary functions and their graphs |
| understands the essence of experimental and theoretical probability |
| Skills |
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| is able to sketch simple graphs and complex functions |
| applies theoretical knowledge about the connection, limits, extremes of functions and so on simplifies situations that occur in some elementary functions |
| uses basic rules for calculating with real numbers, complex numbers and algebraic expressions |
| Competences |
|---|
| N/A |
| teaching methods |
|---|
| Knowledge |
|---|
| Lecture |
| Seminar |
| Skills |
|---|
| Seminar |
| Competences |
|---|
| Situation.... |
| assessment methods |
|---|
| Knowledge |
|---|
| Test |
| Skills demonstration during practicum |
| Skills |
|---|
| Test |
| Skills demonstration during practicum |
| Competences |
|---|
| Test |
| Skills demonstration during practicum |
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Recommended literature
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Anděl, Jiří. Matematika náhody. Praha, 2004.
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Dlouhý, Zbyněk. Úvod do matematické analýzy : Učebnice pro pedagog. fakulty /.
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Hora, Jaroslav. Matematická analýza : pomocný učební text pro studenty 1. ročníku. 5. upr. vyd. Plzeň : Západočeská univerzita, 2004. ISBN 80-7043-298-5.
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