Logo ČVUT
CZECH TECHNICAL UNIVERSITY IN PRAGUE
STUDY PLANS
2019/2020

Mathematics II. A

Login to KOS for course enrollment Display time-table
Code Completion Credits Range
201A068 ZK 3 0P+0C
Lecturer:
Gejza Dohnal (guarantor), Luděk Beneš, Tomáš Bodnár, Marta Čertíková, Jan Halama, Martin Hanek, Marta Hlavová, Radka Keslerová, Milana Kittlerová, Stanislav Kračmar, Ivana Linkeová, Olga Majlingová, František Mráz, Tomáš Neustupa, Nikola Pajerová, Vladimír Prokop, Hynek Řezníček, Jan Valášek
Tutor:
Gejza Dohnal (guarantor), Luděk Beneš, Tomáš Bodnár, Marta Čertíková, Lukáš Hájek, Jan Halama, Martin Hanek, Marta Hlavová, Radka Keslerová, Milana Kittlerová, Stanislav Kračmar, Ivana Linkeová, Olga Majlingová, František Mráz, Tomáš Neustupa, Nikola Pajerová, Vladimír Prokop, Hynek Řezníček, Jan Valášek
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:
Time-table is not available yet
The course is a part of the following study plans:
Data valid to 2020-01-27
For updated information see http://bilakniha.cvut.cz/en/predmet5241606.html