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Proseminář z matematiky pro fyziky 1


Course: Proseminar in Mathemat. for Physicists 1

Department/Abbreviation: SLO/SMF1

Year: 2018 2019

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.

 

Skripta
Obsah, předmluva

(PDF 271 KiB)

Skripta
Matematická logika

(PDF 400 KiB)

Skripta
Množiny, funkce

(PDF 369 KiB)

Skripta
Reálná čísla

(PDF 390 KiB)

Skripta
Komplexní čísla

(PDF 393 KiB)

Skripta
Kombinatorika a statistika

(PDF 343 KiB)

Skripta
Posloupnosti a jejich limity, řady

(PDF 854 KiB)

Skripta
Funkce jedné reálné proměnné, základní pojmy

(PDF 584 KiB)

Skripta
Elementární funkce

(PDF 1,1 MiB)

Skripta
Limita a spojitost funkce

(PDF 614 KiB)

Skripta
Derivace, průběh funkce

(PDF 693 KiB)

Skripta
Literatura

(PDF 267 KiB)