Professors in charge: Nuutti Hyvönen, Antti Hannukainen, Camilla Hollanti, Pauliina Ilmonen, Lasse Leskelä, Rolf Stenberg
Credits: 4065
Abbreviation: AM
Code: SCI3053
The major in Applied Mathematics is designed for students interested in mathematical sciences and their application to other disciplines. It is based on a solid mathematical core that gives the student a broad set of skills for working on diverse mathematical problems. The major also includes an elective part that provides flexibility to orientate toward a master's thesis project in a chosen application area. A high proportion of students majoring in applied mathematics will continue their studies to a doctoral degree.
The importance of mathematical techniques is increasing in science and engineering as new fields employing sophisticated mathematical models are constantly emerging. The driving forces for such development are the everincreasing computational resources, which should be used wisely and to their full power. This requires education of mathematicians who are able to interact and collaborate with experts in application areas. The major in Applied Mathematics responds to this need.
Each student choosing Applied Mathematics as major is assigned a mentor among the faculty of the Department of Mathematics and Systems Analysis.
(i) Mathematical core (35 cr): The student learns core skills in applied mathematics by taking seven courses in the following key areas: numerical analysis and computational methods, probability and statistics, discrete mathematics, and optimization.
The student must choose seven of the following ten courses:
Mathematical core (35 cr) 

CODE 
NAME 
CREDITS 
PERIOD 
YEAR 
Graph theory 
5 
I 
1. 

Number theory 
5 
II 
1. 

Hilbert spaces 
5 
I 
1. 

Probability theory 
5 
III 
1. 

Numerical matrix computations 
5 
I 
1. 

Computational methods for differential equations 
5 
II 
1. 

Finite element method 
5 
IIIIV 
1. 

Computational inverse problems 
5 
IV 
1. 

Multivariate statistical analysis 
5 
IIIIV 
1. 

Nonlinear programming 
5 
II 
1. 
(ii) A specialization area (30 cr): A personalized collection of mathematical courses and studies in a selected application area. The student is required to include some courses from an applied discipline, for example one related to engineering, computer science, or natural sciences. This part of the studies is designed under the guidance of the mentor. All specialization area studies can be chosen on an individual basis, or they can be composed of a minor and 510 credits of supporting mathematical courses.
MSE1050 Graph theory, MSE1461 Hilbert spaces, MSE1651 Numerical matrix computations, MSE1652 Computational methods for differential equations, MSE1653 Finite element method, MSE1654 Computational inverse problems, MSE2139 Nonlinear programming.
Possible specialization areas:
1. MSE1740 Continuum mechanics 1, MSE1741 Continuum mechanics 2, MSE1742 Computational mechanics 1, MSE1743 Computational mechanics 2, two courses in Structural Mechanics.
2. MSE1740 Continuum mechanics 1, PHYSE0413 Theoretical mechanics, a minor or a selection of courses in Applied Physics and/or Structural Mechanics.
3. MSE1600 Probability theory, MSE1602 Large random systems, a minor or a selection of courses in Applied Physics and/or Computer Science.
MSE1050 Graph theory, MSE1110 Number theory, MSE1600 Probability theory, MSE1651 Matrix computations, MSE1654 Computational inverse problems, MSE2112 Multivariate statistical analysis, MSE2139 Nonlinear programming.
Possible specialization areas:
1. MSE1111 Galois theory, MSE2146 Integer programming, a minor or a selection of courses in Computer Science.
2. MSE1602 Large random systems, a minor or a selection of courses in Computer Science and/or Applied Physics.
3. MSE1601 Brownian motion and stochastic analysis, MSE1602 Large random systems, a selection of courses in Systems and Operations Research and/or Computer Science.