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Mathematical analysis I

Class at Faculty of Mathematics and Physics |
NMTM101

Syllabus

Real numbers, supremum. Sequences and their limits.

Functions, elementary functions. Continuity, properties of continuous functions.

Derivative, mean value theorem and its corollaries, L'Hôpital's rule, Taylor's theorem, maxima and minima. Infinite series, absolute and nonabsolute convergence, criteria of convergence.

Annotation

Basic course of mathematical analysis for prospective teachers.