Master’s Programme in Mathematics and
Operations Research
Nuutti Hyvönen
[email protected]
13.4.2015
http://users.tkk.fi/nhyvonen/
Outline
1. General structure of studies.
2. New master’s level majors.
1. General structure of studies.
Matematiikka ja
systeemitieteet
Mathematics and operations research
Mathematics
Applied
Mathematics
Systems and
operations
research
2. New master’s level majors.
Applied Mathematics (40-65 cr)
Professor in charge: Nuutti Hyvönen (each student is assigned a mentor)
(i) Mathematical core (35 cr): Choose seven of the following ten courses:
MS-E1050
MS-E1110
MS-E1460
MS-E1600
MS-E1651
MS-E1652
MS-E1653
MS-E1654
MS-E2112
MS-E2139
Graph theory (5 cr), period I/year 1
Number theory (5 cr), II/1
Functional analysis (5 cr), I/1
Probability theory (5 cr), III/1
Numerical matrix computations (5 cr), I/1
Computational methods for differential equations (5 cr), II/1,
Finite element method (5 cr), III-IV/1
Computational inverse problems (5 cr), IV/1
Multivariate statistical analysis (5 cr), III-IV/1
Nonlinear programming (5 cr), II/1
(ii) Specialization area (30cr.): A tailor-made collection of mathematical
courses and studies in a selected application area. The student is
required to include some courses or a minor from an applied discipline.
Mathematics (40-65 cr)
Professor in charge: Juha Kinnunen (each student is assigned a mentor)
Mathematics is a versatile major: the student has the opportunity to
choose her/his field with no pre-assigned restrictions. The student can
specialize in, e.g., Analysis, Discrete mathematics, or Stochastics.
Recommended courses include
MS-E1050
MS-E1051
MS-E1110
MS-E1111
MS-E1280
MS-E1281
MS-E1460
MS-E1531
MS-E1600
MS-E1601
MS-E1602
Graph theory (5 cr), period I/year 1
Combinatorics (5 cr), II/1
Number theory (5 cr), II/1
Galois theory (5 cr), IV/1 or 2
Measure and integral (5 cr), II/1
Real analysis (5 cr), IV/1 or 2
Functional analysis (5 cr), I/1
Differential geometry (5 cr), III/1 or 2
Probability theory (5 cr), III/1
Brownian motion and stochastic analysis (5 cr), II/1 or 2
Large random systems (5 cr), IV/1 or 2
Systems and Operations Research (40 cr)
Professor in charge: Raimo Hämäläinen
The core courses include optimization, simulation, dynamic systems,
decision modelling, statistics, forecasting, risk analysis as well as hands
on laboratory modelling and project case studies on real industrial
problems.
Core courses (30cr.):
MS-E2112 Multivariate statistical analysis (5 cr), II-IV/1 or 2
MS-E2133 Systems Analysis Laboratory II (5 cr), I-II/1
MS-E2134 Decision making and problem solving (5 cr), I/1
MS-E2139 Nonlinear progr. or MS-E2140 Linear progr. (5 cr), II/1 or 2 or I/1
MS-E2148 Dynamic optimization (5 cr), II/1
TU-E1150 Managerial economics or TU-91.1001 Kansantaloustieteen perusteet
(5 cr.), I-II/1 or 2 or III/1 or 2
Plus one seminar, one extra MS-E2* course, and a minor.