Mathematics II. A

Garant předmětu:

Gejza Dohnal

Lecturer:

Luděk Beneš, Tomáš Bodnár, Marta Čertíková, Gejza Dohnal, Jan Halama, Martin Hanek, Marta Hlavová, Jiří Holman, Radka Keslerová, Milana Kittlerová, Stanislav Kračmar, Ivana Linkeová, Olga Majlingová, František Mráz, Tomáš Neustupa, Nikola Pajerová, Vladimír Prokop, Hynek Řezníček, Petr Sváček, Jan Valášek

Tutor:

Luděk Beneš, Tomáš Bodnár, Marta Čertíková, Gejza Dohnal, Lukáš Hájek, Jan Halama, Martin Hanek, Marta Hlavová, Jiří Holman, Vladimír Hric, Jan Karel, Radka Keslerová, Milana Kittlerová, Stanislav Kračmar, Ivana Linkeová, Olga Majlingová, František Mráz, Tomáš Neustupa, Nikola Pajerová, Vladimír Prokop, Hynek Řezníček, Petr Sváček, 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 2022/2023:

Time-table is not available yet

Time-table for summer semester 2022/2023:

Time-table is not available yet

The course is a part of the following study plans:

• B TZSI 2021 - prezenční (compulsory course in the program)