Mathematical Analysis I

Type of study	Bachelor
Language of instruction	Czech
Code	470-8721/01
Abbreviation	MAINT
Course title	Mathematical Analysis I
Credits	6
Coordinating department	Department of Applied Mathematics
Course coordinator	prof. RNDr. Jiří Bouchala, Ph.D.

Osnova předmětu

Real Number System; the Supremum Theorem.
Real Functions of a Single Real Variable.
Elementary Functions.
Sequences of Real Numbers.
Limit and Continuity of a Function.
Differential and Derivative of a Function.
Basic Theorems of Differential Calculus.
Function Behaviour.
Approximation of a Function by a Polynomial.
Antiderivative (Indefinite Integral).
Riemann’s (Definite) Integral.

E-learning

Basic materials are available on LMS MOODLE.
Consultation through MS Teams.

Povinná literatura

L. Gillman, R. H. McDowell: Calculus, New York, W.W. Norton & Comp. Inc. 1973.
M. Demlová, J. Hamhalter: Calculus I, skripta ČVUT Praha 1996.
J. Bouchala, M. Sadowská: Mathematical Analysis I (www.am.vsb.cz/bouchala)

Doporučená literatura

J. Stewart: Calculus, Belmont, California, Brooks/Cole Pub. Comp. 1987.

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