Professor in charge: Juha Kinnunen
Other professors: Chris Brzuska, Alexander Engström, Camilla Hollanti, Riikka Korte, Kaie Kubjas, Kalle Kytölä, Lasse Leskelä
Credits: 55–65 ECTS (long major) or 40–45 ECTS (compact major)
Abbreviation: MA
Code: SCI3054
Objectives
The major in Mathematics helps students develop their mathematical thinking so that they understand how mathematical theories are constructed and how mathematical problems are formulated and solved. The education is research-based with all courses taught by mathematicians who lead active research projects related to the course topics. This major is partly intended as a preparation for students who plan to become researchers or university teachers in mathematics or related sciences. A master’s degree in mathematics also provides the student with a broad range of skills in problem solving, logical reasoning, and flexible thinking, which are attributes valued throughout the society. The covered mathematical areas include abstract and commutative algebra, algebraic geometry, complex analysis, differential geometry, graph theory, mathematical physics, partial differential equations, probability theory, and real analysis.
Content and structure
Mathematics is a versatile major: the student has the opportunity to choose her/his field of mathematics with no pre-assigned restrictions. The course content of the major is planned under the supervision of the student's personal academic advisor, with emphasis on the mathematics courses lectured at the Department of Mathematics and Systems Analysis. You have the opportunity to include a minor in your studies. Depending on whether a minor is included or not, the extent of the major is 40–45 credits or 55–65 credits.
Recommended courses include:
Code | Name | ECTS credits | Period | Year |
Graph theory | 5 | I (2018-2019) II (2019-2020) | 1. | |
Number theory | 5 | II (2018-2019) I (2019-2020) | 1. | |
Galois theory | 5 | IV (every other year) | 1. or 2. | |
MS-E1142 | Computational algebraic geometry | 5 | I | 1. or 2. |
MS-E1200 | Lie groups and Lie algebras | 5 | II (every other year) | 1. or 2. |
Measure and integral | 5 | II | 1. | |
Real analysis | 5 | IV (every other year) | 1. or 2. | |
Hilbert spaces | 5 | I | 1. | |
Banach spaces | 5 | II (every other year) | 1. or 2. | |
Differential geometry | 5 | III (every other year) | 1. or 2. | |
Probability theory | 5 | III | 1. | |
Large random systems | 5 | IV (every other year) | 1. or 2. | |
MS-E1687 | Advanced topics in cryptography | 5 | III-IV | 1. or 2. |
CS-E4555 | Combinatorics | 5 | III-IV | 1. or 2. |
In addition, the student can take courses in applied mathematics, operations research, or other mathematical sciences.