# Curriculum

### Programme outline

Below you will find the different programme outlines for the master Mathematical Sciences and honours programmes:

**Programme for students starting in or after September 2017 (120 EC)**

Mandatory courses - 15 EC

*Orientation on Mathematical Research - 7.5 EC, WISM102**Mathematical colloquium - 2.5 EC, WISM103**Mathematics for Industry - 4 EC, WISM104**Master introduction - 0.5 EC, INTRO-GSNS**Dilemmas of the scientist - 0.5 EC, FI-MHPSDIL*

Primary electives - 45 EC

Secondary electives - 15 EC

Research project - 45 EC

*Research project: Proposal - 15 EC, WISM105**Research project: Thesis - 30 EC, WISM109 (WISM106 before September 2020)*

All students must follow a seminar (of at least 7.5 EC). This seminar can also be followed while the student is working on the research project.

**Primary/Secondary electives**

Primary electives are chosen from the list of mathematics courses. Secondary electives can be courses from that same list or, if approved by programme director, other master's courses, the 15 EC WISM408 Master’s Internship Project, or bachelor’s courses to remedy deficiencies.

The specialisation Applied Mathematics, Complex Systems and Scientific Computing offers the freedom to choose up to 30 EC of courses in other disciplines, provided mathematics is applicable there. 15 EC of these courses are secondary electives, the other 15 EC are primary electives. See the page Specialisations for a list of approved courses that fit these 30 EC of courses in other disciplines. If you want to take another course as part of the 30 EC of courses in other disciplines you need approval by the programme director.

**Programme for students starting in or after September 2016 and before September 2017 (120 EC)**

Mandatory courses - 15 EC

*Orientation on Mathematical Research - 7.5 EC, WISM102**Mathematics for Industry - 3.75 EC, WISM101**Mathematical colloquium - 3.75 EC, WISM100*

Primary electives - 45 EC

Secondary electives - 15 EC

Research project - 45 EC

*Research project: Proposal - 14 EC, WISM105**Research project: Thesis - 30 EC, WISM106**Master introduction - 0.5 EC, INTRO-GSNS**Dilemmas of the scientist - 0.5 EC, FI-MHPSDIL*

All students must follow a seminar (of at least 7.5 EC). This seminar can also be followed while the student is working on the research project.

**Programme for students starting before September 2016 (120 EC)**

Primary electives - 58 EC

Secondary electives - 15 EC

Research project - 47 EC

*Research project: Proposal - 15 EC, WISM105**Research project: Thesis - 32 EC, WISM106*

All students must follow a seminar (of at least 7.5 EC). This seminar can also be followed while the student is working on the research project. For students who started before September 2013, the seminar is not mandatory.

**Programme for students starting in or after September 2017 (120 EC)**

Mandatory courses - 15 EC

*Orientation on Mathematical Research - 7.5 EC, WISM102*- Mathematical colloquium - 2.5 EC, WISM103
*Mathematics for Industry - 4 EC, WISM104**Master introduction - 0.5 EC, INTRO-GSNS**Dilemmas of the scientist - 0.5 EC, FI-MHPSDIL*

Primary electives - 45 EC

Profile - 30 EC

Research project - 30 EC

*Research project: Proposal - 10 EC, WISM105**Research project: Thesis - 20 EC, WISM109 (WISM106 before September 2020)*

All students must follow a seminar (of at least 7.5 EC). This seminar can also be followed while the student is working on the research project.

**Programme for students starting in or after September 2016 and before September 2017 (120 EC)**

Mandatory courses - 15 EC

*Orientation on Mathematical Research - 7.5 EC, WISM102**Mathematics for Industry - 3.75 EC, WISM101**Mathematical colloquium - 3.75 EC, WISM100*

Primary electives - 45 EC

Profile - 30 EC

Research project - 30 EC

*Research project: Proposal - 9 EC, WISM105**Research project: Thesis - 20 EC, WISM106**Master introduction - 0.5 EC, INTRO-GSNS & Dilemmas of the scientist - 0.5 EC, FI-MHPSDIL*

**Programme for students starting before September 2016 (120 EC)**

Primary electives - 52.5 EC

Secondary electives - 7.5 EC

Profile - 30 EC

Research project - 30 EC

*Research project: Proposal - 10 EC, WISM105**Research project: Thesis - 20 EC, WISM106*

**Profiles**

You can combine Mathematical Sciences with one of the three profiles: Educational profile, Complex systems or Applied Data Systems. Here you find more information about the profiles of Natural Sciences.

**Primary/Secondary electives**

Primary electives are chosen from the list of mathematics courses; secondary elective courses can be any course from this same list or another course on the master level if approved by programme director. Courses to remedy deficiencies (level three bachelor courses) are also counted as secondary electives.

**Programme for students starting in or after September 2019, but before September 2023 (180 EC)**

Mandatory mathematics courses - 15 EC

*Orientation on Mathematical Research - 7.5 EC, WISM102**Mathematical colloquium - 2.5 EC, WISM103**Mathematics for Industry - 4 EC, WISM104**Master introduction - 0.5 EC, INTRO-GSNS**Dilemmas of the scientist - 0.5 EC, FI-MHPSDIL*

Primary electives mathematics - 45 EC

These electives must include a seminar course (of at least 7.5 EC).

Mandatory Theoretical Physics courses - 29.5 EC

*Quantum Field Theory - 10 EC**Statistical Field Theory - 10 EC**Student Seminar in Theoretical Physics - 9.5 EC*

Primary electives physics - 25.5 EC

Research project - 65 EC

*Research project: part 1- 15 EC, NS-TP551M**Research project: part 2 - 50 EC, NS-TP553M*

**Programme for students starting in or after September 2017, but before September 2019 (180 EC)**

Mandatory mathematics courses - 15 EC

- Orientation on Mathematical Research - 7.5 EC, WISM102
- Mathematical colloquium - 2.5 EC, WISM103
- Mathematics for Industry - 4 EC, WISM104
- Master introduction - 0.5 EC, INTRO-GSNS
- Dilemmas of the scientist - 0.5 EC, FI-MHPSDIL

Primary electives mathematics - 45 EC*

Mandatory physics courses - 30 EC

- Quantum Field Theory - 10 EC
- Statistical Field Theory - 10 EC
- Student Seminar in Theoretical Physics - 10 EC

Primary electives physics - 30 EC*

Research project - 60 EC

- Research project: part 1- 15 EC, WISM105 or thesis code of Theoretical Physics
- Research project: part 2 - 45 EC, WISM106 or thesis code of Theoretical Physics

*Alternatively, students may take 22.5 EC of primary physics courses and 37.5 EC of primary mathematics courses and conduct an additional 15 EC internship or research project. The topic of this internship/research project should be different from that of the research project, and requires approval op both programme directors.

**Programme for students starting before September 2016 (165 EC)**

Primary electives mathematics - 52.5 EC

Mandatory physics courses - 30 EC

Primary electives physics - 22.5 EC

Research project - 60 EC

**Programme for students starting in the academic year 2016 - 2017 (180 EC)**

Mandatory mathematics courses - 15 EC

*Orientation on Mathematical Research*- 7.5 EC, WISM102*Mathematical colloquium*- 3.75 EC, WISM100*Mathematics for Industry*- 3.75 EC, WISM101

The courses *Master introduction* - 0.5 EC, INTRO-GSNS and *Dilemmas of the scientist* - 0.5 EC, FI-MHPSDIL are part of the research project.

**Primary electives mathematics**

Primary electives are chosen from the list of mathematics courses.

**Programme for students starting in or after September 2017 (180 EC)**

Mandatory mathematics courses - 15 EC

*Orientation on Mathematical Research - 7.5 EC, WISM102**Mathematical colloquium - 2.5 EC, WISM103**Mathematics for Industry - 4 EC, WISM104**Master introduction - 0.5 EC, INTRO-GSNS**Dilemmas of the scientist - 0.5 EC, FI-MHPSDIL*

Primary electives mathematics - 45 EC*

Mandatory climate physics courses - 37.5 EC

*Dynamical Oceanography - 7.5 EC**Dynamical Meteorology - 7.5 EC**Atmospheric Composition and Chemical Processes - 7.5 EC**Simulation of Ocean, Atmosphere and Climate - 7.5 EC**Making, Analyzing and Interpreting Observations - 7.5 EC*

Primary electives climate physics - 22.5 EC*

Research project - 60 EC

*Research project part 1 - 15 EC, WISM105 or thesis code of Climate Physics**Research project part 2 - 45 EC, WISM109 (WISM106 before September 2020) or thesis code of Climate Physics*

*Alternatively, students may take 15 EC of primary physics courses and 37.5 EC of primary mathematics courses and conduct and additional 15 EC internship or research project. The topic of this internship/research project should be different from that of the research project, and requires approval op both programme directors.

**Programme for students starting before September 2016 (165 EC)**

Primary electives mathematics - 52.5 EC

Mandatory physics courses - 37.5 EC

Primary electives physics - 15 EC

Research project - 60 EC

**Programme for students starting in the academic year 2016 - 2017 (180 EC)**

Mandatory mathematics courses - 15 EC

*Orientation on Mathematical Research - 7.5 EC, WISM102**Mathematical colloquium - 3.75 EC, WISM100**Mathematics for Industry - 3.75 EC, WISM101*

The courses Master introduction - 0.5 EC, INTRO-GSNS and Dilemmas of the scientist - 0.5 EC, FI-MHPSDIL are part of the research project.

**Primary electives mathematics**

Primary electives are chosen from the list of mathematics courses.

**Mid-term review**

The progress of honours students will be reviewed by the selection committee after 1 year of study and after completion of part 1 of the research project. Honours students should have obtained a minimum of 60 EC after one year and should be in their second year after completing research part 1. Students who do not meet this criteria may be excluded from the honours programme by the selection committee.

### Other combined master programmes

The OER allows for other combinations of TWIN-programmes. For more information about combined master programmes, see honours.