Mathematics II. A
- Garant předmětu:
- Department of Technical Mathematics
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
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.
- Syllabus of lectures:
- Syllabus of tutorials:
- Study Objective:
- Study materials:
- Further information:
- No time-table has been prepared for this course
- The course is a part of the following study plans: