Professors in charge: Juha Kinnunen, Alexander Engström, Kalle Kytölä, Riikka Korte, Kaie Kubjas
Credits: 4065
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 researchbased 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.
Mathematics is a versatile major: the student has the opportunity to choose her/his field of mathematics with no preassigned 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. The student has the opportunity to include a minor in the studies. Depending on whether a minor is included or not, the extent of the major is 4045 credits or 5565 credits.
The recommended courses include:
CODE 
NAME 
CREDITS 
PERIOD 
YEAR 
Graph theory 
5 
I 
1. 

Number theory 
5 
II 
1. 

Galois theory 
5 
IV (every other year) 
1. or 2. 

Algebraic geometry 1 
5 
IV (every other year) 
1. or 2. 

Algebraic geometry 2 
5 
V (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. 

Brownian motion and stochastic analysis 
5 
IV (every other year) 
1. or 2. 

Large random systems 
5 
IV (every other year) 
1. or 2. 
In addition, the student can take courses in applied mathematics, operations research, or other mathematical sciences.
MSE1280 Measure and integral, MSE1281 Real analysis, MSE1461 Hilbert spaces, MSE1462 Banach spaces, MSE1531 Differential geometry, other courses and a minor chosen under the guidance of the mentor.
MSE1050 Graph theory, MSE1110 Number theory, MSE1111 Galois theory, MSE1140 Algebraic geometry 1, MSE1141 Algebraic geometry 2, other courses and a minor chosen under the guidance of the mentor.
MSE1600 Probability theory, MSE1601 Brownian motion and stochastic analysis, MSE1602 Large random systems, MSE2112 Multivariate statistical analysis, other courses and a minor chosen under the guidance of the mentor.