Module S2.1 - Advanced Mathematics
Lecturer
Dr. Holger Babovsky (e-mail: )
Coordinator
Prof. Dr. Christian Franke
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.
- If meetings in presence will be permmitted again over the run of the semester, we can also switch to a format in presence, if requested
- For further information please visit the course space on moodle
- The online content will be provided via moodle
- If you are interested in the module, please enrol to it in Friedolin to get access to the moodle class
- On Thursday, April 15th 14:15 pm, we will have a short introduction via Zoom:
https://uni-jena-de.zoom.us/j/69124208367
Meeting-ID: 691 2420 8367
Kenncode: 031758
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
- t.b.a.
- 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 15.04.2021 |
Recap, Vector Opterators Vectors, Integrals, Spherical Polra Coordinates, Gradient, Divergence, Curl |
|
2 22.04.2021 |
Line Integrals I Line Integrals, Evaluating line integrals |
|
3 29.04.2021 |
Line Integrals II Differential criterium, conservative vector fields, potential |
|
4 06.05.2021 |
Surface and volume integrals Double and triple integrals, Cavalieri's principle |
|
5 13.05.2021 |
Public holiday |
|
6 20.05.2021 |
Volume integral and Green's theorem Spherical and cylindrical coordinates, Green's theorem |
|
7 27.05.2021 |
Stokes' theorem |
|
8 03.06.2021 |
Stokes' theorem II and Gauss' theorem |
|
9 10.06.2021 |
Gauss' theorem II |
|
10 17.06.2021 |
Gauss' theorem III |
|
11 24.06.2021 |
Partial differential equations I |
|
12 01.07.2021 |
Partial differential equations II |
|
13 08.07.2021 |
Partial differential equations III |