Mathematics II

Lecturer:

Jiří Neustupa (gar.), Gejza Dohnal

Tutor:

Jiří Neustupa (gar.), Gejza Dohnal

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 2011/2012:

Time-table is not available yet

Time-table for summer semester 2011/2012:

	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
Mon	roomKN:A-224 Neustupa J. Dohnal G. 09:00–10:30 (lecture parallel1) Karlovo nám. Ucebna KA224 (A9)
Tue
Fri	roomKN:A-224 Neustupa J. Dohnal G. 14:15–15:45 (lecture parallel1 parallel nr.101) Karlovo nám. Ucebna KA224 (A9)
Thu	roomKN:A-224 Neustupa J. Dohnal G. 16:00–17:30 (lecture parallel1) Karlovo nám. Ucebna KA224 (A9)
Fri	roomKN:A-224 Neustupa J. Dohnal G. 10:45–12:15 (lecture parallel1 parallel nr.101) Karlovo nám. Ucebna KA224 (A9)

The course is a part of the following study plans: