Mathematics II

Course guarantor:

Lecturer:

Tutor:

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:

Further information:

No time-table has been prepared for this course

The course is a part of the following study plans:

• 12 74 79 00 BTZSI 2012 A - prezenční anglicky (compulsory course in the program)
• 09 54 59 00 BSTR 2012 A - prezenční anglicky (compulsory course in the program)
• 09 54 59 00 DSTR 2012 A - prezenční anglicky (compulsory course in the program)