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

MS-E1050

Graph theory

5

I (2018-2019)

II (2019-2020)

1.

MS-E1110

Number theory

5

II (2018-2019)

I (2019-2020)

1.

MS-E1111

Galois theory

5

IV (every other year)

1. or 2.

MS-E1142Computational algebraic geometry5I1. or 2.
MS-E1200Lie groups and Lie algebras5II (every other year)1. or 2.

MS-E1280

Measure and integral

5

II

1.

MS-E1281

Real analysis

5

IV (every other year)

1. or 2.

MS-E1461

Hilbert spaces

5

I

1.

MS-E1462

Banach spaces

5

II (every other year)

1. or 2.

MS-E1531

Differential geometry

5

III (every other year)

1. or 2.

MS-E1600

Probability theory

5

III

1.

MS-E1602

Large random systems

5

IV (every other year)

1. or 2.

MS-E1687Advanced topics in cryptography5III-IV1. or 2.
CS-E4555Combinatorics5III-IV1. or 2.

In addition, the student can take courses in applied mathematics, operations research, or other mathematical sciences.

Examples of possible orientations

MS-E1280 Measure and integral
MS-E1281 Real analysis
MS-E1461 Hilbert spaces
MS-E1462 Banach spaces
MS-E1531 Differential geometry
Other courses, and an optional minor chosen under the guidance of the personal academic advisor.

MS-E1050 Graph theory
MS-E1110 Number theory
MS-E1111 Galois theory
MS-E1200 Lie groups and Lie algebras
Other courses, and an optional minor chosen under the guidance of the personal academic advisor.

MS-E1600 Probability theory
MS-E1602  Large random systems
MS-E1461
Hilbert spaces
Other courses, and an optional minor chosen under the guidance of the personal academic advisor.