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Mathematical Analysis Ia - NMUE002

Title:	Matematická analýza Ia
Guaranteed by:	Department of Mathematical Analysis (32-KMA)
Faculty:	Faculty of Mathematics and Physics
Actual:	from 2020
Semester:	winter
E-Credits:	9
Hours per week, examination:	winter s.:4/2, C+Ex [HT]
Capacity:	unlimited
Min. number of students:	unlimited
4EU+:	no
Virtual mobility / capacity:	no
State of the course:	cancelled
Language:	Czech
Teaching methods:	full-time
Teaching methods:	full-time
Is provided by:	NUMP001

Classification:	Mathematics > Real and Complex Analysis Teaching > Mathematics
Interchangeability :	NMUM101
Is co-requisite for:	NMUE003
Is incompatible with:	NUMP001, NUMP002
Is interchangeable with:	NUMP001

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Annotation -

Last update: T_KMA (15.05.2003)

Basic course on Mathematical analysis for 1st year students of Faculty of Natural Sciences and FTVS.

Syllabus -

Last update: T_KMA (15.05.2003)

Fundamentals of mathematical logic, sets, mappings, rational and real numbers, supremum. functions of one real variable, limits, continuity, first and higher derivatives. Elementary functions, mean value theorem and its consequences. Maxima and minima. Primitive functions, indefinite integral. Integration by parts and by substitution. Integration of rational and irrational functions. Riemann's definite integral, existence theorems.