Find the programme structure that fits your year of admission on your Study Information.
Programme Structure
You can choose from a wide variety of restricted elective and elective courses to design a programme of your interests. Mathematics has many disciplines: Algebra, analysis, geometry, topology, etc. It also includes applicationoriented disciplines such as mathematical physics, probability theory and optimisation, as well as cultural disciplines like the history of mathematics and the didactics of mathematics.
Although these disciplines are studied independently, it is remarkable how closely related they are when you take a closer look. Mathematics as a whole can be approached in many ways.
You can also study mathematics with a minor subject. Read more at the bottom of this page >>
Do a Project in Practice or Study Abroad
You may choose to use some of your elective courses to do a project in practice or to study abroad for one or two semesters or for a shorter period of time.
Master's Thesis
Your studies will conclude with a thesis project in which you work in more detail within one of the themes that you focused on in your course of study. Often the thesis will be written in association with one of the Department's research teams, where you have access to both a supervisor and the entire team's knowledge and involvement. In other cases, you might instead be investigating something entirely new.
In recent years, solutions have been found to profound problems that have existed for hundreds of years or more (Poincaré's conjecture and Fermat's last theorem), and the enthusiasm that accompanies these new breakthroughs has led to many thesis topics.
Examples of thesis topics:
 Algebra and the theory of numbers
 Geometric analysis and mathematical physics
 Noncommutative geometry
 Topology
 Didactics of mathematics
The programme can be structured in two ways, depending on, whether you start your studies in September or February:
Programme Overview, Study Start in September
Compulsory courses: 7.5 ECTS
Restricted elective courses: 52.5 ECTS
Elective courses: 30 ECTS
Thesis: 30 ECTS
Block 1  Block 2  Block 3  Block 4  

Year 1  Advanced Vector Spaces  Restricted elective course  Restricted elective course  Restricted elective course 
Restricted elective course  Restricted elective course  Restricted elective course  Restricted elective course  
Year 2  Elective course  Elective course  Thesis  
Elective course  Elective course 
One block each year equals nine weeks of study and 15 ECTS.
Programme Overview, Study Start in February
Study start in February is only for students with a reserved access to the programme. Read about reserved access here >>
Compulsory courses: 7.5 ECTS
Restricted elective courses: 52.5 ECTS
Elective courses: 30 ECTS
Thesis: 30 ECTS
Block 3 
Block 4 
Block 1 
Block 2 


Year 1  Restricted elective course  Restricted elective course  Advanced Vector Spaces  Restricted elective course 
Restricted elective course  Restricted elective course  Restricted elective course  Restricted elective course  
Year 2  Elective course  Elective course  Thesis  
Elective course  Elective course 
One block each year equals nine weeks of study and 15 ECTS.
Restricted Elective Courses
Choose your restricted elective courses from the lists below. Click on each course for a detailed description.
You are obliged to choose courses worth at least 22,5 ECTS from this list:
 Algebra 3
 Algebraic Topology
 Advanced Probability Theory 1
 Advanced Probability Theory 2
 Homological Algebra
 Functional Analysis
 Geometry 2
 Advanced Didactics of Mathematics
 History of Mathematics 2: Expeditions into Mathematics in the Making, Research, and Uses of History for Teaching
 Differential Operators and Function Spaces
Choose your remaining courses from this list:
 Categories and Topology
 Partial Differential Equations
 Algebraic Geometry 2
 Algebra 3
 Algebraic Topology
 Advanced Probability Theory 1
 Topics in Operator Algebras
 Logic in Analysis and Topology
 Advanced Number Theory
 Introduction to Quantum Computing
 Topics in Geometry
 Analytic Number Theory
 Experimental Mathematics*
 Complex Analysis 2*
 Analysis in Quantum Information Theory
 Advanced Probability Theory 2
 Homological Algebra
 Functional Analysis
 Geometry 2
 Applied Algebra in Geometry
 Invitation to Combinatorics
 Quantum Information Theory
 Elliptic Curves
 Introduction to Representation Theory
 Operator Algebras
 Commutative Algebra
 Geometric Topology
 Introduction to Mathematical Logic
 History of Mathematics 2: Expeditions into Mathematics in the Making, Research, and Uses of History for Teaching
 Differential Operators and Function Spaces
 Riemannian Geometry
 Algebraic Number Theory
 Algebraic Geometry
 Algebraic Topology II
 KTheory
 Advanced Mathematical Physics
 Graphs and Groups
* The course is not offered in the academic year 2022/2023
You can study mathematics with a minor subject if you want to acquire the competences to teach or disseminate both subjects. This enables you to teach in Danish upper secondary schools and at university colleges. You will also be qualified to find work in the private and public sector e.g., in jobs that require your knowledge within two academic fields.
Furthermore, you have the prerequisites for further studies e.g., a PhD programme.
The programme can be structured in different ways depending on whether your minor subject is within or outside the field of science, and whether you start in September or February. The tables below show the recommended academic progression in all cases:
Programme Overview, Study Start in September, Minor Subject Within the Field of Science
Compulsory courses: 7.5 ECTS
Restricted elective courses: 37.5 ECTS
Minor subject: 45 ECTS
Master's thesis: 30 ECTS
Block 1  Block 2  Block 3  Block 4  

Year 1  Minor subject  Minor subject  Restricted elective course  Restricted elective course 
Minor subject  Minor subject  Minor subject  Minor subject  
Year 2  Advanced Vector Spaces  Restricted elective course  Thesis  
Restricted elective course  Restricted elective course 
One block each year equals nine weeks of study and 15 ECTS.
Programme Overview, Study Start in September, Minor Subject Outside the Field of Science
Compulsory courses: 7.5 ECTS
Elective courses: 37.5 ECTS
Minor subject: 75 ECTS
Master's thesis: 30 ECTS
Block 1  Block 2  Block 3  Block 4  

Year 1  Minor subject  Minor subject  Minor subject  Minor subject 
Minor subject  Minor subject  Minor subject  Minor subject  
Year 2  Advanced Vector Spaces  Restricted elective course  Restricted elective course  Restricted elective course 
Restricted elective course  Restricted elective course  Minor subject  Minor subject  
Year 3  Thesis 
One block each year equals nine weeks of study and 15 ECTS.
Programme Overview, Study Start in February, Minor Subject Within the Field of Science
Compulsory courses: 7.5 ECTS
Elective courses: 37.5 ECTS
Minor subject: 45 ECTS
Master's thesis: 30 ECTS
Block 3 
Block 4 
Block 1 
Block 2 


Year 1  Minor subject  Minor subject  Advanced Vector Spaces  Restricted elective course 
Minor subject  Minor subject  Restricted elective course  Restricted elective course  
Year 2  Restricted elective course  Restricted elective course  Thesis  
Minor subject  Minor subject 
One block each year equals nine weeks of study and 15 ECTS.
Programme Overview, Study Start in February, Minor Subject Outside the Field of Science
Compulsory courses: 7.5 ECTS
Elective courses: 37.5 ECTS
Minor subject: 75 ECTS
Master's thesis: 30 ECTS
Block 3 
Block 4 
Block 1 
Block 2 


Year 1  Minor subject  Minor subject  Minor subject  Minor subject 
Minor subject  Minor subject  Minor subject  Minor subject  
Year 2  Minor subject  Minor subject  Advanced Vector Spaces  Restricted elective course 
Restricted elective course  Restricted elective course  Restricted elective course  Restricted elective course  
Year 3  Thesis 
One block each year equals nine weeks of study and 15 ECTS.
Restricted Elective Courses
Choose your restricted elective courses from the lists below. Click on each course for a detailed description.
You are required to choose restricted elective courses worth 37,5 ECTS from this list:
 Algebra 3
 Algebraic Topology
 Advanced Probability Theory 1
 Advanced Didactics of Mathematics
 Functional Analysis
 Geometry 2
 Homological Algebra
 Advanced Probability Theory 2
 Kompleks funktionsteori – for studerende med sidefag
 History of Mathematics 2
 Differential Operators and Function Spaces
 Differentialligninger  for studerende med sidefag
 Introduktion til talteori  for studererende med sidefag
In addition, you must choose courses worth 15 ECTS from the list below:
 Categories and Topology
 Partial Differential Equations
 Algebraic Geometry 2
 Algebra 3
 Algebraic Topology
 Advanced Probability Theory 1
 Topics in Operator Algebras
 Logic in Analysis and Topology
 Advanced Number Theory
 Introduction to Quantum Computing
 Topics in Geometry
 Analytic Number Theory
 Experimental Mathematics
 Complex Analysis 2
 Analysis in Quantum Information Theory
 Advanced Didactics of Mathematics
 Functional Analysis
 Geometry 2
 Homological Algebra
 Advanced Probability Theory 2
 Kompleks Funktionsteori  for studerende med sidefag
 Applied Algebra in Geometry
 Invitation to Combinatorics
 Quantum Information Theory
 Elliptic Curves
 Introduction to Representation Theory
 Operator Algebras
 Commutative Algebra
 Geometric Topology
 Introduction to Mathematical Logic
 History of Mathematics 2
 Differential Operators and Function Spaces
 Differentialligninger  for studerende med sidefag
 Algebraic Number Theory
 Algebraic Geometry
 Algebraic Topology II
 Riemannian Geometry
 Advanced Mathematical Physics
 Introduktion til talteori  for studerende med sidefag
 Graphs and Groups
* The course is not offered in the academic year 2022/23
Curriculum
Curriculum for MSc in Mathematics.
Curriculum for MSc in Mathematics with a minor subject.
Shared section of the curriculum for all programmes at the Faculty of SCIENCE.