# Courses & research
**Source**: https://www.utwente.nl/en/education/master/programmes/applied-mathematics/specialisation/mathematical-analysis-geometry-numerics-systems/courses-and-research/
**Parent**: https://www.utwente.nl/en/education/master/programmes/applied-mathematics/specialisation/mathematical-analysis-geometry-numerics-systems/
During your Master’s in Applied Mathematics, you will collect a total of 120 EC within two years. In addition to the three compulsory courses that form the core of this Master's, you will follow additional courses within the specialisation in Mathematical Analysis, Geomerty, Numerics and Systems (MAGNUS). The second year consists of an internship and your master’s thesis.
European Credit Transfer System
Student workload at Dutch universities is expressed in EC, also named ECTS (European Credit Transfer and Accumulation System), which is widely used throughout the European Union. In the Netherlands, each credit represents 28 hours of work.
## Contents of year 1
| | | |
| --- | --- | --- |
| First year | | |
| **Compulsory courses for the Master's in AM** | 17 EC | - [Continuous Optimization](x-ut-courselink:191581200) - [Scientific Computing](x-ut-courselink:191551200) - [Pioneers of Applied Mathematics](x-ut-courselink:202400799) |
| **Specialisation courses** *Compulsory courses for the specialisation in MAGNUS.* | 17 EC | - [Applied Functional Analysis](x-ut-courselink:191506302) - [Optimal Control](x-ut-courselink:191561620) - [Applied Finite Elements](x-ut-courselink:202100097) |
| **Elective courses** *You will fill up the rest of your first year with elective courses to lay the theoretical basis for your specialisation.* | 26 EC | - [Time Series Analysis](x-ut-courselink:191571090) - [Systems & Control](x-ut-courselink:202001139) - [Numerical Techniques for PDE](x-ut-courselink:191551150) - [Introduction to Partial Differential Equations](x-ut-courselink:201700034) - [Robust Control](x-ut-courselink:191560671) - [Partial Differential Equations](x-ut-courselink:201700033) - [Nonlinear Dynamics](x-ut-courselink:191560430) |
| **Total EC first year** | 60 EC | |
Do
you want **more information about these courses**?
[Get in touch with us](https://www.utwente.nl/en/education/master/programmes/applied-mathematics/contact/)
or [meet online with a student](https://www.utwente.nl/en/education/study-choice-calendar/meet-up-with-a-student/) and gain first-hand experience!
## Contents of year 2
| | | |
| --- | --- | --- |
| Second year | | |
| **Internship** | 20 EC | In the second year, you will do an internship preparing you for the professional field. |
| **Master's thesis** | 40 EC | In the final three quarters, you will join a research group to complete your master’s thesis. |
| **Total EC of second year** | 60 EC | |
### Internship
In the second year of your Master’s in Applied Mathematics, you will do an internship. That way, you can apply the knowledge and skills you have acquired during your studies at a company that uses mathematical modelling, data analysis, or optimisation to solve complex challenges. The EEMCS faculty at the University of Twente has connections with numerous research institutes and leading technology-driven organisations where you can do your internship.
Previous students have done internships at:
- hospitals or medical centres such as **Radboud hospital**
- research agencies such as **Marin** or **NLR**
- large companies such as **Thales**, **Shell** or **ASML**
- engineering firms such as **Witteveen+Bos** or **Arcadis**
### Master's thesis
You will complete your Master’s by writing your master’s thesis. The choice of your thesis topic is largely up to you. You will have the opportunity to contribute to high-end research at UT. Your article might even get published, as proven by the numerous publications of our former students.
As part of your master’s thesis, you can undertake a research project such as:
- Researching innovative numerical methods for the radiative transfer equation and the Vlasov equation, focusing on applications in medicine to enhance imaging techniques for better diagnostic accuracy, or in nuclear fusion to predict and optimise the behavior of plasma under various conditions to enhance energy generation.
- Designing and analysing new control algorithms such that the controlled system performs its tasks better and faster with less energy. This is important in the manufacturing of comuter chips as well for the desired behavior of a wind farm.
- Designing optimised nanostructures numerically with the aim for improving energy generation with solar cells. You can contribute accurate, robust and efficient numerical algorithms and simulation tools.
[Career perspectives](https://www.utwente.nl/en/education/master/programmes/applied-mathematics/specialisation/mathematical-analysis-geometry-numerics-systems/career-perspectives/)