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CZECH TECHNICAL UNIVERSITY IN PRAGUE
STUDY PLANS
2020/2021

Mathematical Analysis B 2

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Code Completion Credits Range Language
818MAB2 Z,ZK 7 2+4 Czech
Lecturer:
Petr Kubera (guarantor)
Tutor:
Petr Kubera (guarantor)
Supervisor:
Department of Software Engineering
Synopsis:

Primitive function - basic properties,„Per partes“ method,Substitution,Primitive function for rational functions and other basic types of functions,Newton and Riemann integral, their relation,Integral convergence,Some applications of definite integral - the area of plane domain,Some applications of definite integral - curve length, Some applications of definite integral - volume and surface of body of revolution

Requirements:
Syllabus of lectures:

1.Primitive function - basic properties

2.„Per partes“ method

3.Substitution

4.Primitive function for rational functions and other basic types of functions

5.Newton and Riemann integral, their relation

6.Integral convergence

7.Some applications of definite integral - the area of plane domain

8.Some applications of definite integral - curve length

9.Some applications of definite integral - volume and surface of body of revolution

Syllabus of tutorials:
Study Objective:
Study materials:

Key references:

Dontová, E. Matematika I. Vyd. 3.. Praha : Vydavatelství ČVUT, 2004. ISBN 80-01-02938-7

Dontová, E. Matematika II. Vyd. 2.. -- Praha : ČVUT, 2001. ISBN 80-01-02295-1

Pelantová, E., Vondráčková, J. Cvičení z matematické analýzy: integrální počet a řady. 3. vyd. Praha: Vydavatelství ČVUT, 2006. ISBN 80-01-02524-1

Recommended references:

Děmidovič, B.P. Sbírka úloh a cvičení z matematické analýzy.1. vyd. Havlíčkův Brod : Fragment, 2003. ISBN 80-7200-587-1

Rektorys, K. Přehled užité matematiky. II. 7. vyd. Praha : Prometeus, 2000. ISBN 80-7196-181-7

Rektorys, K. Přehled užité matematiky. I. 7. vyd .Praha : Prometeus, 2000. ISBN 80-7196-180-9

Note:
Time-table for winter semester 2020/2021:
Time-table is not available yet
Time-table for summer semester 2020/2021:
Time-table is not available yet
The course is a part of the following study plans:
Data valid to 2020-10-22
For updated information see http://bilakniha.cvut.cz/en/predmet3197306.html