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.

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:

• MAT4110 – Introduction to Numerical Analysis
• MAT4120 – Mathematical Optimization

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 I 

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 I	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:

• MAT4410 – Advanced Linear Analysis
• MAT4720 – Stochastic Analysis and Stochastic Differential Equations

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	MAT4720 – Stochastic Analysis and Stochastic Differential Equations
	10 ECTS credits	10 ECTS credits	10 ECTS credits

Deadlines for master students at the Dept. of Mathematics