Master's Programme in Mathematics
Outline, TMA2M
- Code
- TMA2M
- Finalised by
- The Faculty Board of Science and Technology, 6 November 2025
- Registration number
- TEKNAT 2025-139
Semester 1
Track: Applied Mathematics and Statistics
- Generalised Linear Models, 5 credits (1MS369)Semester 1, period 1: 5 creditsMain field(s) of study and in-depth level: Mathematics A1N
The course is given in period 1 in even years .
- Applied Mathematics, 5 credits (1MA148)Semester 1, period 1: 5 creditsMain field(s) of study and in-depth level: Mathematics A1N
- Integration Theory, 10 credits (1MA215)Semester 1, period 1: 5 credits Semester 1, period 2: 5 creditsMain field(s) of study and in-depth level: Mathematics A1N
- Introduction to Data Science, 10 credits (1MS041)Semester 1, period 1: 5 credits Semester 1, period 2: 5 creditsMain field(s) of study and in-depth level: Computer Science A1N, Data Science A1N, Mathematics A1N
- Partial Differential Equations, 10 credits (1MA216)Semester 1, period 1: 5 credits Semester 1, period 2: 5 creditsMain field(s) of study and in-depth level: Mathematics A1N
- Probability and Martingales, 10 credits (1MS045)Semester 1, period 1: 5 credits Semester 1, period 2: 5 creditsMain field(s) of study and in-depth level: Financial Mathematics A1N, Mathematics A1N
- Scientific Computing for Partial Differential Equations, 5 credits (1TD354)Semester 1, period 2: 5 creditsMain field(s) of study and in-depth level: Computational Science A1N, Computer Science A1N, Technology A1N
- Main field(s) of study and in-depth level: Mathematics A1N
The course is given in period 2 in odd years.
Track: Financial Mathematics
- Main field(s) of study and in-depth level: Economics A1F, Financial Mathematics A1N
- Probability and Martingales, 10 credits (1MS045)Semester 1, period 1: 5 credits Semester 1, period 2: 5 creditsMain field(s) of study and in-depth level: Financial Mathematics A1N, Mathematics A1N
- Financial Derivatives, 7.5 credits (1MA209)Semester 1, period 2: 7.5 creditsMain field(s) of study and in-depth level: Financial Mathematics A1N, Mathematics A1N
- Scientific Computing for Partial Differential Equations, 5 credits (1TD354)Semester 1, period 2: 5 creditsMain field(s) of study and in-depth level: Computational Science A1N, Computer Science A1N, Technology A1N
Track: Mathematics
- Differential Topology, 10 credits (1MA259)Semester 1, period 1: 5 credits Semester 1, period 2: 5 creditsMain field(s) of study and in-depth level: Mathematics A1N
- Partial Differential Equations, 10 credits (1MA216)Semester 1, period 1: 5 credits Semester 1, period 2: 5 creditsMain field(s) of study and in-depth level: Mathematics A1N
- Modules and Homological Algebra, 10 credits (1MA036)Semester 1, period 1: 5 credits Semester 1, period 2: 5 creditsMain field(s) of study and in-depth level: Mathematics A1N
- Integration Theory, 10 credits (1MA215)Semester 1, period 1: 5 credits Semester 1, period 2: 5 creditsMain field(s) of study and in-depth level: Mathematics A1N
Bridging courses
- Algebraic Structures, 10 credits (1MA007)Semester 1, period 1: 5 credits Semester 1, period 2: 5 creditsMain field(s) of study and in-depth level: Mathematics G2F
- Real Analysis, 10 credits (1MA362)Semester 1, period 1: 5 credits Semester 1, period 2: 5 creditsMain field(s) of study and in-depth level: Mathematics G1F
- Probability Theory II, 5 credits (1MS036)Semester 1, period 1: 5 creditsMain field(s) of study and in-depth level: Mathematics G2F
Alternative coures
- Analytic Functions, 10 credits (1MA531)Semester 1, period 1: 5 credits Semester 1, period 2: 5 creditsMain field(s) of study and in-depth level: Mathematics A1N
The course is given in in the fall semester in even years.
- Computer-Intensive Statistics and Applications, 10 credits (1MS049)Semester 1, period 2: 10 creditsMain field(s) of study and in-depth level: Computer Science A1N, Data Science A1N, Financial Mathematics A1N, Mathematics A1N
- Riemannian Geometry, 10 credits (1MA196)Semester 1, period 1: 5 credits Semester 1, period 2: 5 creditsMain field(s) of study and in-depth level: Mathematics A1N
The course is given in in the fall semester in even years.
- Survival Analysis, 5 credits (1MS052)Semester 1, period 2: 5 creditsMain field(s) of study and in-depth level: Mathematics A1N
- Main field(s) of study and in-depth level: Mathematics A1N
The course is given in in the fall semester in odd years.
- Main field(s) of study and in-depth level: Mathematics A1N
The course is given in in the fall semester in odd years.
- Statistical Machine Learning, 5 credits (1RT700)Semester 1, period 2: 5 creditsMain field(s) of study and in-depth level: Computer Science A1N, Data Science A1N, Image Analysis and Machine Learning A1N, Mathematics A1N, Technology A1N
Semester 2
The students chooses 30 credits from the courses avaliable this semester.
Track: Applied Mathematics and Statistics
- Main field(s) of study and in-depth level: Computational Science A1N, Computer Science A1N, Data Science A1N, Technology A1N
- Markov Processes, 10 credits (1MS012)Semester 2, period 3: 10 creditsMain field(s) of study and in-depth level: Mathematics A1N
- Bayesian Statistics, 10 credits (1MS900)Semester 2, period 3: 5 credits Semester 2, period 4: 5 creditsMain field(s) of study and in-depth level: Data Science A1N, Mathematics A1N
The course is given in the spring semester in odd years.
- Foundations of Data Science, 10 credits (1MS048)Semester 2, period 3: 5 credits Semester 2, period 4: 5 creditsMain field(s) of study and in-depth level: Data Science A1F, Mathematics A1F
- Functional Analysis, 5 credits (1MA331)Semester 2, period 4: 5 creditsMain field(s) of study and in-depth level: Mathematics A1N
- Modelling Complex Systems, 10 credits (1MA256)Semester 2, period 4: 10 creditsMain field(s) of study and in-depth level: Computational Science A1N, Mathematics A1N
- Topics in Data Science, 5 credits (1MS050)Semester 2, period 4: 5 creditsMain field(s) of study and in-depth level: Data Science A1F, Mathematics A1F
- Analysis of Time Series, 10 credits (1MS014)Semester 2, period 4: 10 creditsMain field(s) of study and in-depth level: Data Science A1N, Financial Mathematics A1N, Mathematics A1N
Track: Financial Mathematics
- Markov Processes, 10 credits (1MS012)Semester 2, period 3: 10 creditsMain field(s) of study and in-depth level: Mathematics A1N
- Introduction to Partial Differential Equations, 5 credits (1MA053)Semester 2, period 3: 5 creditsMain field(s) of study and in-depth level: Mathematics A1N
- Partial Differential Equations with Applications to Finance, 5 credits (1MA255)Semester 2, period 4: 5 creditsMain field(s) of study and in-depth level: Financial Mathematics A1N, Mathematics A1N
- Analysis of Time Series, 10 credits (1MS014)Semester 2, period 4: 10 creditsMain field(s) of study and in-depth level: Data Science A1N, Financial Mathematics A1N, Mathematics A1N
Track: Mathematics
- Lie Groups, 5 credits (1MA333)Semester 2, period 3: 5 creditsMain field(s) of study and in-depth level: Mathematics A1F
The course is given in period 3 in odd years.
- Non-Linear Partial Differential Equations, 10 credits (1MA338)Semester 2, period 3: 5 credits Semester 2, period 4: 5 creditsMain field(s) of study and in-depth level: Mathematics A1F
- Commutative Algebra and Algebraic Geometry, 10 credits (1MA325)Semester 2, period 3: 5 credits Semester 2, period 4: 5 creditsMain field(s) of study and in-depth level: Mathematics A1F
The course is given in the spring semester in odd years.
- Stochastic Processes, 10 credits (1MS030)Semester 2, period 3: 5 credits Semester 2, period 4: 5 creditsMain field(s) of study and in-depth level: Mathematics A1F
- Functional Analysis, 5 credits (1MA331)Semester 2, period 4: 5 creditsMain field(s) of study and in-depth level: Mathematics A1N
- Lie Algebras, 5 credits (1MA332)Semester 2, period 4: 5 creditsMain field(s) of study and in-depth level: Mathematics A1F
The course is given in period 4 in odd years.
- Main field(s) of study and in-depth level: Mathematics A1F
The course is given in the spring semester in even years.
- Main field(s) of study and in-depth level: Mathematics A1N
The course is given in the spring semester in even years.
All tracks
- Perspectives on Mathematics, 5 credits (1MA337)Semester 2, period 3: 5 creditsMain field(s) of study and in-depth level: Mathematics A1N
- Main field(s) of study and in-depth level: Mathematics A1E
The student who intends to obtain A Degree of Master (One Year) shall take this course.
- Main field(s) of study and in-depth level: Financial Mathematics A1E
The student who intends to obtain A Degree of Master (One Year) shall take this course.
Semester 3
Preliminary outline 2027/2028
Semester 3: All tracks, courses of 30 credits from list.
- Main field(s) of study and in-depth level: Mathematics A1N
The course is given in in the fall semester in even years.
- Main field(s) of study and in-depth level: Mathematics A1N
The course is given in in the fall semester in odd years.
- Main field(s) of study and in-depth level: Computer Science A1N, Data Science A1N, Financial Mathematics A1N, Mathematics A1N
- Main field(s) of study and in-depth level: Mathematics A1N
- Main field(s) of study and in-depth level: Mathematics A1N
The course is given in in the fall semester in odd years.
- Main field(s) of study and in-depth level: Mathematics A2E
- Main field(s) of study and in-depth level: Computational Science A1N, Computer Science A1N, Financial Mathematics A1N
- Main field(s) of study and in-depth level: Financial Mathematics A1N, Mathematics A1N
- Main field(s) of study and in-depth level: Mathematics A1N
- Main field(s) of study and in-depth level: Computer Science A1N, Data Science A1N, Mathematics A1N
- Main field(s) of study and in-depth level: Computer Science A1N, Data Science A1N, Image Analysis and Machine Learning A1N, Mathematics A1N
- Main field(s) of study and in-depth level: Economics A1N
- Main field(s) of study and in-depth level: Economics A1N
- Main field(s) of study and in-depth level: Mathematics A1N
- Main field(s) of study and in-depth level: Mathematics A1N
- Main field(s) of study and in-depth level: Mathematics A1N
The course is given in in the fall semester in even years.
- Main field(s) of study and in-depth level: Computational Science A1F, Computer Science A1F, Technology A1F
- Main field(s) of study and in-depth level: Mathematics A1N
Courses that can be given in any period during the programmen.
Except from the courses above it is also possible to choose courses from other programs within the Faculty of Science and Technology. The student also has access to:
- Main field(s) of study and in-depth level: Mathematics A1F
- Main field(s) of study and in-depth level: Mathematics A1F
- Main field(s) of study and in-depth level: Mathematics A1N
Semester 4
Preliminary outline 2027/2028
Semester 3: All tracks, courses of 30 credits from list.
- Main field(s) of study and in-depth level: Mathematics A2E
- Main field(s) of study and in-depth level: Financial Mathematics A2E
Programme syllabus
- Programme syllabus valid from Autumn 2026
- Programme syllabus valid from Autumn 2025, version 2
- Programme syllabus valid from Autumn 2025, version 1
- Programme syllabus valid from Autumn 2024
- Programme syllabus valid from Autumn 2023
- Programme syllabus valid from Autumn 2022, version 2
- Programme syllabus valid from Autumn 2022, version 1
- Programme syllabus valid from Autumn 2021, version 2
- Programme syllabus valid from Autumn 2021, version 1
- Programme syllabus valid from Autumn 2020
- Programme syllabus valid from Autumn 2019
- Programme syllabus valid from Autumn 2018
- Programme syllabus valid from Autumn 2017
- Programme syllabus valid from Autumn 2016, version 2
- Programme syllabus valid from Autumn 2016, version 1
- Programme syllabus valid from Autumn 2015
- Programme syllabus valid from Autumn 2014
- Programme syllabus valid from Autumn 2013
- Programme syllabus valid from Autumn 2012
- Programme syllabus valid from Autumn 2011