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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.
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
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)
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.