http://www.studopory.vsb.cz/studijnimaterialy/MatematikaIII/Matematika3_obsah.pdf (in czech language)
http://mdg.vsb.cz
Terminated in academic year 2019/2020
Mathematics 3
| Type of study | MasterBachelor |
|---|---|
| Language of instruction | English |
| Code | 714-0868/01 |
| Abbreviation | Math 3 |
| Course title | Mathematics 3 |
| Credits | 5 |
| Coordinating department | Department of Mathematics and Descriptive Geometry |
| Course coordinator | Mgr. Arnošt Žídek, Ph.D. |
Subject syllabus
Course description (weekly lessons):
1. Double integral over rectangular region.
2. Double integral over regular region. Fubini's Theorem.
3. Transformation of variables. Mapping and its Jacobian. Polar coordinates.
4. Practical applications of double integral.
5. Volume integral over rectangular region.
6. Volume integral over regular region.
7. Transformation to the cylindrical coordinates.
8. Transformation to the spherical coordinates.
9. Practical applications of volume integral.
10. Curves in R^3. Their equations and orientation of closed curves.
11. Line integral of a scalar function.
12. Line integral of a vector function.
13. Path independence. Green's Theorem.
14. Practical applications of line integrals of both kinds.
1. Double integral over rectangular region.
2. Double integral over regular region. Fubini's Theorem.
3. Transformation of variables. Mapping and its Jacobian. Polar coordinates.
4. Practical applications of double integral.
5. Volume integral over rectangular region.
6. Volume integral over regular region.
7. Transformation to the cylindrical coordinates.
8. Transformation to the spherical coordinates.
9. Practical applications of volume integral.
10. Curves in R^3. Their equations and orientation of closed curves.
11. Line integral of a scalar function.
12. Line integral of a vector function.
13. Path independence. Green's Theorem.
14. Practical applications of line integrals of both kinds.
E-learning
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)