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Professors in charge: Juha Kinnunen, Alexander Engström, Kalle Kytölä, Riikka Korte, Kaie Kubjas
Credits: 40–65
Abbreviation: MA
Code: SCI3054

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.

Each student choosing Mathematics as major is assigned a mentor among the faculty of the Department of Mathematics and Systems Analysis.

Courses

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 mentor, 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.

The recommended courses include:

Code

Name

ECTS credits

Period

Year

MS-E1050

Graph theory

5

I

1.

MS-E1110

Number theory

5

II

1.

MS-E1111

Galois theory

5

IV (every other year)

1. or 2.

MS-E1140

Algebraic geometry 1

5

IV (every other year)

1. or 2.

MS-E1141

Algebraic geometry 2

5

V (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-E1601

Brownian motion and stochastic analysis

5

IV (every other year)

1. or 2.

MS-E1602

Large random systems

5

IV (every other year)

1. or 2.

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

Examples of possible orientations

 I Analysis

MS-E1280 Measure and integral
MS-E1281 Real analysis
MS-E1461 Hilbert spaces
MS-E1462 Banach spaces
MS-E1531 Differential geometry
Other courses and a minor chosen under the guidance of the mentor.

 II Discrete Mathematics

MS-E1050 Graph theory
MS-E1110 Number theory
MS-E1111 Galois theory
MS-E1140 Algebraic geometry 1
MS-E1141 Algebraic geometry 2
Other courses and a minor chosen under the guidance of the mentor.

 III Stochastics and Statistics

MS-E1600 Probability theory
MS-E1601
Brownian motion and stochastic analysis
MS-E1602  Large random systems
MS-E2112 Multivariate statistical analysis
Other courses and a minor chosen under the guidance of the mentor.