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Lecturer(s)
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Horváth Pavel, RNDr. Ph.D.
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Havelková Martina, Mgr.
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Course content
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1. Mathematical logic, Mathematical language. 2. Sets, functions. 3. Real numbers. 4. Complex numbers. 5. Combinatorics and fundamentals of statistics. 6. Sequences, limits of sequences, infinite series. 7. Functions - real functions of a single real variable: The basic notions and properties of functions. 8. Elementary functions: Power, exponential, logarithmic, trigonometric and cyclometric functions. 9. Limit and continuity of a function. 10. Fundamentals of differential calculus: Derivative and its geometrical and physical meanings, differential, determination of functions properties. 11. Use of the software MATHEMATICA for selected themes - exercises.
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Learning activities and teaching methods
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Monologic Lecture(Interpretation, Training), Dialogic Lecture (Discussion, Dialog, Brainstorming)
- Attendace
- 26 hours per semester
- Preparation for the Course Credit
- 4 hours per semester
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Learning outcomes
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Acquire the basic knowledge of mathematical analysis focused on physics applications.
Knowledge. Recall basic mathematical notions, explain principles of fundamentals of differential calculus, apply knowledge on solutions of problems of mathematical analysis for physicists.
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Prerequisites
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Prior knowledge of secondary school mathematics.
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Assessment methods and criteria
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Student performance
Colloquium: participation in the proseminar, passing a written test.
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Recommended literature
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BARTCH H.J. (1996). Matematické vzorce. MF, Praha.
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BRABEC J., MARTAN F., ROZENSKÝ Z. (1989). Matematická analýza 1. SNTL, Praha.
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KOPÁČEK J. (2004). Matematická analýza nejen pro fyziky (I). Matfyzpress, Praha.
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KOPÁČEK J. (2005). Příklady z matematiky nejen pro fyziky (I). Matfyzpress, Praha.
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KVASNICA J. (2004). Matematický aparát fyziky. Academia, Praha.
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POLÁK J. (1995). Přehled středoškolské matematiky. Prometheus, Praha.
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REKTORYS K. (1995). Přehled užité matematiky I a II. Prometheus, Praha.
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RUSKEEPÄÄ H. (2009). Mathematica navigator - Mathematics, Statistics, and Graphics. Academic Press, London.
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