Programme structure
The programme option Mathematics for applications has specialisations in different mathematical research areas: Linear optimization and combinatorial matrix theory, Partial differential Equations, and Stochastic analysis.
Information about master studies at the Department of Mathematics.
Courses
Each specialisation has its recommended courses and course combinations, but there is always room for setting up other course combinations. The different courses within a specialisation are largely based on each other, so it is advisable to take more basic courses in the first semester. Selection of courses is done in consultion with your supervisor, see list of courses.
Mandatory course in the first semester:
- MAT4500 – Topology. If you have taken MAT3500 – Topology before, you are exempted from this requirement.
Other relevant courses in the first semester:
- MAT4110 – Introduction to Numerical Analysis
- MAT4120 – Mathematical Optimization
- MAT4301 – Partial Differential Equations
- MAT4410 – Advanced Linear Analysis
Specialisation Linear optimization and combinatorial matrix theory
To start this specialisation you must have taken the course MAT3100 – Linear optimization.
In addition to MAT4500 – Topology, you choose at least two of the following courses:
In addition, it is natural with a special curriculum in graph theory, convexity or matrix theory.
Example of course of study:
| 4. semester | Master's thesis | Master's thesis | Master's thesis |
|---|---|---|---|
| 3. semester | Master's thesis/Elective course | Master's thesis | Master's thesis |
| 2. semester | Master's thesis/Elective course | Special curriculum (Combinatorial matrix theory, Convergence, Graduation theory or Optimization) | MAT4170 – Spline Methods |
| 1. semester | MAT4500 – Topology | MAT4110 – Introduction to Numerical Analysis | MAT4120 – Mathematical Optimization |
| 10 ECTS credits | 10 ECTS credits | 10 ECTS credits |
Specialisation Partial differential equations
To be able to write a Master's thesis within Partial Differential Equations, it is strongly recommended that you have previously taken MAT3360 – Introduction to Partial Differential Equations.
Mandatory courses in addition to MAT4500 – Topology:
- MAT4301 – Partial Differential Equations
- MAT4305 – Partial Differential Equations and Sobolev Spaces
Example of course of study:
| 4. semester | Master's thesis | Master's thesis | Master's thesis |
|---|---|---|---|
| 3. semester | MAT4315 – Partial differential equations and Sobolev spaces II (discontinued) | Master's thesis | Master's thesis |
| 2. semester | MAT4305 – Partial Differential Equations and Sobolev Spaces | Elective course | Elective course |
| 1. semester | MAT4500 – Topology | MAT4110 – Introduction to Numerical Analysis | MAT4301 – Partial Differential Equations |
| 10 ECTS credits | 10 ECTS credits | 10 ECTS credits |
Specialisation Stochastic analysis
To be able to write a Master's thesis within Stochastic analysis, it is strongly recommended that you previously have previously taken
Mandatory courses, in addition to MAT4500 – Topology:
You are recommended to take MAT4410 – Advanced Linear Analysis in the first semester.
Example of course of study:
| 4. semester | Master's thesis | Master's thesis | Master's thesis |
|---|---|---|---|
| 3. semester | Master's thesis | Master's thesis | Master's thesis |
| 2. semester | MAT4301 – Partial Differential Equations | Elective course | Master's thesis/Elective course |
| 1. semester | MAT4500 – Topology | MAT4410 – Advanced Linear Analysis | |
| 10 ECTS credits | 10 ECTS credits | 10 ECTS credits |
Deadlines for master students at the Dept. of Mathematics