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Selected applications of mathematics

Type of study Follow-up MasterBachelor
Language of instruction Czech
Code 230-0230/01
Abbreviation VAVM
Course title Selected applications of mathematics
Credits 2
Coordinating department Department of Mathematics
Course coordinator Mgr. Marcela Jarošová, Ph.D.

Subject syllabus

1. Double integral over a rectangular domain and over a general regular domain.
2. Transformation to polar and generalized polar coordinates.
3. Applications of double integrals.
4. Triple integral over a rectangular hexahedron and over a general regular domain.
5. Transformation to cylindrical and generalized cylindrical coordinates.
6. Transformation to spherical and generalized spherical coordinates.
7. Applications of triple integrals.
8. Line integrals.
9. Line integral of a scalar field.
10. Line integral of a vector field.
11. Green’s theorem and the path independence.
12. Applications of line integrals.
13. Applications in the civil engineering.
14. Reserve

E-learning

Advised literature

http://homen.vsb.cz/~kre40/matematika.html
Burda, P. - Doležalová, J.: Integrální počet funkcí více proměnných – Matematika IIIb. Skriptum VŠB, Ostrava 2003.
ISBN 80-248-0454-9.
Burda, P. - Doležalová, J.: Cvičení z matematiky IV. Skriptum VŠB, Ostrava 2002. ISBN 80-248-0028-4.