Professor in charge: Nuutti Hyv=C3=B6nen
Other professors: Chris Brzuska, Antti Hannukainen, Camilla =
Hollanti, Pauliina Ilmonen, Kaie Kubjas, Lasse Leskel=C3=A4, Rolf Stenberg<=
br> Extent: 55=E2=80=9365 ECTS (long major) or 40=E2=80=93=
45 ECTS (compact major)
Abbreviation: AM
C=
ode: SCI3053
The major in Applied Mathematics is designed for students interested in = mathematical sciences and their application to other disciplines. It is bas= ed on a solid mathematical core that gives the student a broad set of skill= s for working on diverse mathematical problems. The major also includes an = elective part that provides flexibility to orientate toward a master's thes= is project in a chosen application area. A high proportion of students majo= ring in applied mathematics will continue their studies to a doctoral degre= e.
The importance of mathematical techniques is increasing in science and e= ngineering as new fields employing sophisticated mathematical models are co= nstantly emerging. The driving forces for such development are the everinc= reasing computational resources, which should be used wisely and to their f= ull power. This requires the education of mathematicians who are able to in= teract and collaborate with experts in application areas. The major in Appl= ied Mathematics responds to this need. =20
The major in Applied Mathematics can be taken either as a long major (55= =E2=80=9365 ECTS) or a compact major (40=E2=80=9345 ECTS). The student's pe= rsonal academic advisor provides assistance in planning the curriculum deta= ils.
CODE 
NAME 
CREDITS 
PERIOD 
YEAR 
Numerical matrix computations 
5 
II 
1 

Multivariate statistical analysis 
5 
III=E2=80=93IV 
1 

Nonlinear optimization 
5 
I=E2=80=93II 
1 
Select 25=E2=80=9345 credits for a long major or 25=E2=80=9330 credits f= or a compact major. In both cases, select at least one course from each of = the three categories below.
CODE 
NAME 
CREDITS 
PERIOD 
YEAR 
Computational algebraic geometry 
5 
I (every other year) 
1 or 2 

Hilbert spaces 
5 
I 
1 or 2 

Computational methods for differential equati= ons 
5 
I 
1 or 2 

Finite element method 
5 
III=E2=80=93IV 
1 or 2 

Computational inverse problems 
5 
IV 
1 or 2 
CODE 
NAME 
CREDITS 
PERIOD 
YEAR 
Linear optimization 
5 
I=E2=80=93II 
1 or 2 

Integer optimization 
5 
III=E2=80=93IV (every other year) 
1 or 2 

Decision making and problem solving 
5 
III=E2=80=93IV 
1 or 2 
CODE 
NAME 
CREDITS 
PERIOD 
YEAR 
Probability theory 
5 
III 
1 or 2 

Large random systems 
5 
IV (every other year) 
1 or 2 

Random graphs and network statistics 
5 
I 
1 or 2 

Bayesian data analysis 
5 
I=E2=80=93II 
1 or 2 
Students taking a long major select in addition sufficiently many course= s in mathematics or other mathematical sciences to obtain a total of 55=E2= =80=9365 credits. Courses not in the below list of recommended courses may = also be included with the consent of the professor in charge.
CODE 
NAME 
CREDITS 
PERIOD 
YEAR 
Graph theory 
5 
I (20182019) 
1 or 2 

Number theory 
5 
II (20182019) 
1 or 2 

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

Advanced topics in cryptography 
5 
III=E2=80=93IV 
1 or 2 

Computational mechanics 1 
5 
I 
1 or 2 

Computational mechanics 2 
5 
II 
1 or 2 

Principles of algorithmic techniques 
5 
I=E2=80=93II 
1 or 2 

Machine learning: Basic principles 
5 
I=E2=80=93II 
1 or 2 

Advanced course in algorithms 
5 
III=E2=80=93IV 
1 or 2 

Distributed algorithms 
5 
I=E2=80=93II 
1 or 2 

Cryptography and data security 
5 
I=E2=80=93II 
1 or 2 

Computational complexity theory 
5 
III=E2=80=93IV 
1 or 2 

Combinatorics 
5 
III=E2=80=93IV 
1 or 2 

Programming parallel computers 
5 
V 
1 or 2 

Complex networks 
5 
I=E2=80=93II 
1 or 2 

Mathematical methods for network science <= /td>  5 
III (every other year) 
1 or 2 

Computational physics 
5 
III=E2=80=93V 
1 or 2 

Dynamics of particles, fluids and solids <= /td>  5 
III 
1 or 2 