Module S2.1 - Advanced Mathematics
Lecturer:
Dr. Holger Babovsky
Coordinator:
Prof. Dr. Herbert Gross
Dates:
- Lectures: Thursday 14:15-15:45 (SR 1, Physik)
- Seminars: Friday 10:15-11:45 (SR 5, Physik)
Content:
The lectures will cover content in the field of vector analysis as
- Line, surface and volume integrals
- Green’s theorem, Stokes theorem, Gauss’s law
- Flow of a vector field through a surface element
as well as a section on partial differential equations including the topics
- Partial differential equations on the example of the wave-equation
- D’Alembert’s Method
- Separation of variables
- Bessel equation
Exam:
- date: 22.07.2019, 10:00-12:00
- location: SR 5 Physics, Helmholtzweg 4
- downloads: Mock Exam, Mock Exam solution
| Lectures | Seminar | |
| Week | Subject and content | Subject and content |
| 1 |
Line Integrals I (11.04.2019) Line Integrals, Evaluating line integrals |
|
| 2 |
Line Integrals II (18.04.2019) Differential criterium, conservative vector fields, potential |
|
| 3 |
Surface and volume integrals (25.04.2019) Double and triple integrals, Cavalieri's principle |
|
| 4 |
Volume integral and Green's theorem (02.05.2019) Spherical and cylindrical coordinates, Green's theorem |
|
| 5 |
Stokes' theorem (09.05.2019) |
|
| 6 | Stokes' theorem II and Gauss' theorem (16.05.2019) | |
| 7 |
Gauss' theorem II (23.05.2019) |
|
| 8 |
Holiday (30.05.2018) |
|
| 9 |
Gauss' theorem II (06.06.2019) |
Series 2 |
| 10 |
Partial Differential Equations I |
|
| 11 |
Partial Differential Equations II |
Series 3 |
| 12 |
|
|
| 13 |
|
|
| 14 |
|