Module S2.1 - Advanced Mathematics
Lecturer
Dr. Holger Babovsky (e-mail: )
Coordinator
Prof. Dr. Herbert Gross
Content
The lectures will cover content in the field of vector analysis:
- Line, surface and volume integrals
- Green’s theorem, Stokes theorem, Gauss’s law
- Flow of a vector field through a surface element
A section on partial differential equations includes the topics:
- Partial differential equations on the example of the wave-equation
- D’Alembert’s Method
- Separation of variables
- Bessel equation
Components of the module
- Virtual lectures: to be viewed weekly on Thursday (or earlier)
- Exercises: Submission of solutions to exercises is due biweekly on Fridays
- Seminars: Online seminars to discuss the exercises will be offered biweekly on Fridays. Time: t.b.a.
- For further information please visit the course space on moodle
Requirements to complete the module
- self study of virtual lectures
- regular work on the exercises and submission of the solutions before the deadlines indicated below
- exam
Exam
- Date: Thursday 06.08.2020
- Time: 10:00-12:00
- Location: Lecture Hall Bachstr. 18, Building 1 ("Alte Chirurgie")
- Downloads: Mock Exam, Mock Exam solution
Time table and overview of the individual lectures
Lectures | Seminar | |
Week | Subject and content | Link to the exercise and deadline for the submission of the solutions |
1 07.05.2020 |
Recap, Vector Opterators Vectors, Integrals, Spherical Polra Coordinates, Gradient, Divergence, Curl |
|
2 14.05.2020 |
Line Integrals I Line Integrals, Evaluating line integrals |
|
3 21.05.2020 |
Line Integrals II Differential criterium, conservative vector fields, potential |
|
4 28.05.2020 |
Surface and volume integrals Double and triple integrals, Cavalieri's principle |
|
5 04.06.2020 |
Volume integral and Green's theorem Spherical and cylindrical coordinates, Green's theorem |
|
6 11.06.2020 |
Stokes' theorem |
|
7 18.06.2020 |
Stokes' theorem II and Gauss' theorem |
|
8 25.06.2020 |
Gauss' theorem II |
|
9 02.07.2020 |
Gauss' theorem III |
|
10 09.07.2020 |
Partial differential equations I |
|
11 16.07.2020 |
Partial differential equations II |