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CZECH TECHNICAL UNIVERSITY IN PRAGUE
STUDY PLANS
2019/2020

Seminar on Calculus B2

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Code Completion Credits Range Language
01SMB2 Z 2 0+2 Czech
Lecturer:
Tutor:
Milan Krbálek (guarantor)
Supervisor:
Department of Mathematics
Synopsis:

The course is devoted to support the lectures of Calculus B4.

Requirements:

Basic course of Calculus a Linear Algebra (in the extent of the courses 01MA1, 01MAB2, 01MAB3, 01LA1, 01LAB2 held at the FNSPE CTU in Prague).

Syllabus of lectures:

Regular mappings in two- or three-dimensional space, analytical forms of tangent hyperplanes to quadrics and pseudo-quadrics, volumes of chosen bodies, derivative of integral with parameter, application of measure theory and theory of Lebesgue integral.

Syllabus of tutorials:

Regular mappings in two- or three-dimensional space, analytical forms of tangent hyperplanes to quadrics and pseudo-quadrics, volumes of chosen bodies, derivative of integral with parameter, application of measure theory and theory of Lebesgue integral.

Study Objective:

Knowledge: Application of mathematical theory to the practical tasks. Skills: Individual analysis of practical exercises.

Study materials:

Key references:

[1] M. Giaquinta, G. Modica, Mathematical analysis - an introduction to functions of several variables, Birkhauser, Boston, 2009

Recommended references:

[2] S.L. Salas, E. Hille, G.J. Etger, Calculus (one and more variables), Wiley, 9th edition, 2002

Media and tools: MATLAB

Note:
Time-table for winter semester 2019/2020:
Time-table is not available yet
Time-table for summer semester 2019/2020:
Time-table is not available yet
The course is a part of the following study plans:
Data valid to 2019-10-18
For updated information see http://bilakniha.cvut.cz/en/predmet24902305.html