# Essential Graduate Math

**Announcement**

next course autumn 201? ...

**Aims and Objectives**

- The aim of this course is to provide a basis for the mathematics required during the PhD studies in physics by revise several subfields of mathematics.
- You should have a solid basis for further study if needed for your specific PhD project.

- It is
**NOT**the aim to replace or reiterate all mathematics taught on the undergraduate level.

- To approach this general aim, the following subjects will be reviewed:

- Basic calculus (differentiation & integration)

- (nonlinear) Ordinary differential equations
- Approximate solutions to ODEs
- Special functions
- Distributions in physics

- Vector spaces and tensor algebra
- Functions of complex variables
- Contour integration
- Partial differential equations

- Basic calculus (differentiation & integration)
- After the course you have have a good understanding of the subjects above.

**Format**

- The course is meant as a guide to self-study.
- Weekly problem sheets will be given on Mondays (or earlier)

- Answers should be returned by Thursday to Dirk Gericke

- Problems with the problems given can be discussed Thursday 15:30-16:30

**Problem Sheets**

- problem sheet 1

- problem sheet 2
- problem sheet 3
- problem sheet 3a

- problem sheet 4
- problem sheet 5
- problem sheet 6
- problem sheet 7

- book list