Mathematics IV
| Language of instruction | angličtina |
|---|---|
| Code | 310-2303 |
| Abbreviation | Math 4 |
| Course title | Mathematics IV |
| Coordinating department | Department of Mathematics and Descriptive Geometry |
| Course coordinator | Mgr. Jiří Krček, Ph.D. |
Summary
The course is intended for students with a basic knowledge of differential and integral calculus of functions of one variable.
- Integral calculus of functions of more than one variable
- Double and volume integral. Fubini's Theorem: integrating over regular regions.
- Transformation of variables, polar, cylindrical and spherical coordinates.
- Practical applications of double and volume integral.
- Theory of the field. Scalar and vector fields.
- Curves and their orientation, line integral of a scalar function and its geometrical applications.
- Line integral of a vector function and its physical applications.
- Path independence, Green's theorem.
- Integral calculus of functions of more than one variable
- Double and volume integral. Fubini's Theorem: integrating over regular regions.
- Transformation of variables, polar, cylindrical and spherical coordinates.
- Practical applications of double and volume integral.
- Theory of the field. Scalar and vector fields.
- Curves and their orientation, line integral of a scalar function and its geometrical applications.
- Line integral of a vector function and its physical applications.
- Path independence, Green's theorem.
Literature
Lectures in English on school Moodle system - lms.vsb.cz
Advised literature
Neustupa J., Kračmar S.: Mathematics II. ČVUT, Praha 1998.
http://www.studopory.vsb.cz/studijnimaterialy/MatematikaIII/Matematika3_obsah.pdf (in czech language)
http://www.studopory.vsb.cz/studijnimaterialy/MatematikaIII/Matematika3_obsah.pdf (in czech language)