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Course: Proseminar in Mathemat. for Physicists 1

Department/Abbreviation: SLO/PMF1

Year: 2021

Guarantee: 'RNDr. Pavel Horváth, Ph.D.'

Annotation: Acquire the basic knowledge of mathematical analysis focused on physics applications.

Course review:
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.