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
| Lectures | Seminar | |
| Week | Subject and content | Subject and content |
| 1 |
Line Integrals I (12.04.2018) Line Integrals, Evaluating line integrals |
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| 2 |
Line Integrals II (19.04.2018) Differential criterium, conservative vector fields, potential |
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| 3 |
Surface and volume integrals (25.04.2018) Double and triple integrals, Cavalieri's principle |
Seminar 1 (26.04.2018) |
| 4 |
Volume integral and Green's theorem (03.05.2018) Spherical and cylindrical coordinates, Green's theorem |
|
| 5 |
Holiday (10.05.2018) |
Seminar 2 (11.05.2018) |
| 6 |
Stokes' theorem (17.05.2018) |
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| 7 |
Stokes' theorem II and Gauss' theorem (24.05.2018) |
Seminar 3 (25.05.2018) |
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8 |
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| 9 |
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| 10 |
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| 11 |
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| 12 |
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| 13 |
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| 14 |
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