Fachbereich Mathematik

Preparatory Course for M.Sc. Mathematical Physics

In order to establish a common foundation for the MSc in Mathematical Physics, this course reviews core mathematical results and provides an introduction to classical and quantum physics.

It will take place from September 29 to October 10. The course will consist of 10+1 lectures and 6 exercise sessions (each lasting 2 hours), as well as several social events. You can find the precise schedule at the end.

Both the lectures and exercise sessions will take place in the C building of the Morgenstelle campus (Auf der Morgenstelle 10, 72076 Tübingen), in lecture hall C4H33 on the fourth floor (the glass-walled room).

The lectures will also be streamed online in the Discord group:

https://discord.gg/QKh5FqH6

The course will cover:


1. Elements of algebra. Exercises. Notes.

2. Topological, metric and normed spaces. Exercises. Notes.

3. Continuity and compactness. Exercises. Notes.

4. Differential calculus. Exercises. Notes.

5. Ordinary differential equations. Exercises.

6. Implicit and inverse function theorems & submanifolds of Rn (or perhaps functional derivatives and field Euler-Lagrange equations)

7. Measures and Lebesgue Integration

8. Notions of classical mechanics 

9. Hilbert spaces

10. Introduction to quantum mechanics

Bonus: Philosophy of quantum mechanics

Participation in the lectures, exercises, and social events is optional but highly recommended.

Important: You don’t need to register for this course. For all other courses in the department, registration procedures are covered in the first lecture—so no pre-registration needed in any.

At the first meeting (September 29, 10:00), we will clarify any questions about the programme, schedule, and planning. You can also contact the lecturer via:

 xabier.oianguren-asua@math.uni-tuebingen.de

Course Schedule  (Updated!)

Information about the activities

For the Sunday hike we will meet at 13:30 in the bus station in front of the faculty:

https://maps.app.goo.gl/vwaKwh9giTDf3X2D8

Interesting Links

You will find the list of courses planned to be offered in Winter Semester 2025/26 and Sommer Semester 2026 in the top-right corner of:

https://uni-tuebingen.de/en/faculties/faculty-of-science/departments/mathematics/department/courses-programs/

Webpage to buy the Semesterticket:

https://studis.naldo.de/kundenportal/welcome/studis.xhtml