CZECH TECHNICAL UNIVERSITY IN PRAGUE
STUDY PLANS
2019/2020

# Mathematics II.

Code Completion Credits Range Language
E011068 Z,ZK 6 4P+4C
Lecturer:
Tomáš Bodnár, Tomáš Neustupa, Hynek Řezníček
Tutor:
Tomáš Bodnár, Tomáš Neustupa, Hynek Řezníček
Supervisor:
Department of Technical Mathematics
Synopsis:

Open and closed set, boundary in E^k. Real function of k-variables. Partial derivatives and differentiability. Gradient and directional derivative. Differential operators div (divergence) and curl (rotation). Function given implicitly. Local and global (= absolute) extremes of a function of more

variables.

Double integral, volume (=triple) integral,

Fubini theorem. Transformation of integrals to polar, cylindrical and spherical coordinates. A simple smooth curve and line integral of a scalar and vector function.

Circulation and Green's theorem.

A potential vector field, independence of a line integral on the path. Simple smooth surface and surface integral of a scalar function and a vector function. Flow of a vector field through a surface. The Gauss-Ostrogradskij theorem.

Requirements:
Syllabus of lectures:
Syllabus of tutorials:
Study Objective:
Study materials:
Note:
Time-table for winter semester 2019/2020:
Time-table is not available yet
Time-table for summer semester 2019/2020:
 06:00–08:0008:00–10:0010:00–12:0012:00–14:0014:00–16:0016:00–18:0018:00–20:0020:00–22:0022:00–24:00 roomKN:A-311Bodnár T.14:15–15:45(lecture parallel1)Karlovo nám.Posluchárna KA311 roomKN:A-311Řezníček H.17:45–19:15(parallel nr.1)Karlovo nám.Posluchárna KA311 roomKN:A-311Bodnár T.09:00–10:30(lecture parallel1)Karlovo nám.Posluchárna KA311 roomKN:A-311Řezníček H.09:00–10:30(parallel nr.1)Karlovo nám.Posluchárna KA311
The course is a part of the following study plans:
Data valid to 2020-01-28
For updated information see http://bilakniha.cvut.cz/en/predmet5242306.html