Uusi opinto-opas (sisältäen myös opetusohjelmat) lukuvuodelle 2018-2019 sijaitsee osoitteessa https://opas.peppi.utu.fi . Tältä sivustolta löytyvät enää vanhat opinto-oppaat ja opetusohjelmat.

The new study guide (incl. teaching schedules) for academic year 2018-2019 can be found at https://studyguide.utu.fi. This site contains only previous years' guides.

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Archived Curricula Guide 2016–2018
Curricula Guide is archieved. Please refer to current Curricula Guides
Course descriptions
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Course descriptions

Basic studies
MATE5019 Calculus I, 8 ECTS
MATE5351 Calculus IIA, 8 ECTS
MATE5216 Linear Algebra, 9 ECTS
Intermediate studies
MATE5060 Basics of Algebra I, 5 ECTS
MATE5061 Basics of Algebra II, 4 ECTS
MATE5074 Algorithmic Mathematics, 4 ECTS
MATE5352 Calculus IIB, 4 ECTS
MATE5418 Analytical Geometry, 4 ECTS
TFYS6011 Differential geometry, 4 ECTS
SMAT5045 Differential Equations, 5 ECTS
MATE5059 Geometry, 5 ECTS
MATE5039 Combinatorics I, 4 ECTS
MATE5114 Logic, 4 ECTS
MATE5123 Number Theory, 4 ECTS
MATE5300 Bachelor’s Thesis, 8 ECTS
SMAT5300 Bachelor’s Thesis, 8 ECTS
MATE5298 Essay in Mathematics, 2 ECTS
MATE5172 History of Mathematics, 2 ECTS
SMAT5176 Numerical Analysis, 4 ECTS
MATE5355 Scientific Computing, 4 ECTS
MATE5009 Practical Training, 1–2 ECTS
MATE5356 Vector Calculus, 4 ECTS
Advanced Studies
SMAT5211 Adaptive dynamics, 5 ECTS
MATE5055 Algebra, 10 ECTS
MATE5305 Cellular Automata, 10 ECTS
MATE5038 Combinatorial Enumeration, 5 ECTS
MATE5396 Cryptography I, 5 ECTS
MATE5397 Cryptography II, 5 ECTS
MATE5362 Complex Analysis, 5 ECTS
SMAT5060 Game Theory I, 5 ECTS
MATE5230 Graph Theory, 10 ECTS
SMAT5219 Heuristics, 5 ECTS
TFYS7027 Hilbert space operators, 5 ECTS
MATE5313 Coding Theory I, 5 ECTS
MATE5324 Coding Theory II, 5 ECTS
MATE5096 Advanced course in Logic, 5 ECTS
SMAT5216 Modelling Project, 10 ECTS
SMAT5215 Mathematical Modelling, 10 ECTS
MATE5124 Matrix Theory, 5 ECTS
SMAT5057 Metapopulation models, 5 ECTS
SMAT5037 Optimization Algorithms, 5 ECTS
MATE5413 p-adic numbers, 5 ECTS
MATE5314 Master's Thesis Seminar, 5 ECTS
MATE5108 Master's Thesis, 30 ECTS
SMAT5127 Master's Thesis, 30 ECTS
MATE5175 Semigroup Theory, 5 ECTS
MATE5311 Real Analysis, 5 ECTS
MATE5125 Group Theory, 5 ECTS
SMAT5151 Scheduling Theory, 5 ECTS
MATE5416 Set Theory, 5–10 ECTS
SMAT5301 Simulation, 5 ECTS
SMAT5313 Stochastic Integration, 5 ECTS
SMAT5312 Stochastic Optimization, 5 ECTS
MATE5411 Symbolic dynamics, 5 ECTS
MATE5148 Tilings and Patterns, 10 ECTS
MATE5417 Topics in analysis, 10 ECTS
MATE5325 Foundations of Topology, 5 ECTS
Advanced studies, not lectured in 2016-2018
The data given of the courses is not updated.
MATE5226 Seminar in Cryptography, 5 ECTS
SMAT5061 Game Theory II, 5 ECTS
MATE5258 Image and Video Compression, 10 ECTS
MATE5335 Matrix Groups, 10 ECTS
SMAT5213 Calculus of variations, 5 ECTS
MATE5290 Algorithmic complexity, 10 ECTS
MATE5095 Analytic Number Theory, 5 ECTS
MATE5085 Convolutional Codes, 5 ECTS
MATE5347 Image Compression, 5 ECTS
SMAT5303 Decision Making, 5 ECTS
SMAT5129 Risk Theory, 10 ECTS
MATE5159 Algebraic Numbers, 5–10 ECTS
MATE5232 Mathematical Logic, 5 ECTS
MATE5091 Measure Theory, 5 ECTS
MATE6009 NP-completeness, 5 ECTS
MATE5103 Ordered Sets, 10 ECTS
MATE5165 Ramsey Theory, 5 ECTS
MATE5316 Finite Fields, 5 ECTS
SMAT5308 Calculus of Variations, 5 ECTS
SMAT5307 Control Theory, 5 ECTS
SMAT5310 Nonsmooth optimization, 5 ECTS
SMAT5309 Nonsmooth analysis, 5 ECTS
SMAT5218 Robust optimization, 5 ECTS
SMAT5059 Vector Optimization, 5 ECTS
Department of Mathematics and Statistics
DP in Mathematics and Statistics
DP in Mathematics
DP in Statistics
MDP in Information Security and Cryptography
Finnish Study Modules