Course Catalog 2010-2011 International Basic Pori International Postgraduate Open University |Degrees|     |Study blocks|     |Courses|

Opinto-opas 2010-2011

Mathematics, 30 cr

Type of the study block

Major Studies

Contact

Keijo Ruohonen, Robert Piche

Learning outcomes

-

The advanced study module in Mathematics is intended to give the student a solid knowledge of the foundations of mathematics applicable in information technology. After finishing the module the student can take care of typical mathematical modelling tasks and implement the models (with programming). The module gives the student necessary prerequisites for postgraduate studies and other further training.

Prerequisites

Study block	Credit points	Mandatory/Advisable
Information Technology	25 cr	Mandatory

Content

Compulsory courses

Each of the three focus areas has its own compulsory course, and a recommended set of choices for the complementary courses, see below.

Course	Credit points	Alternativity	Class
MAT-41196 Graph Theory	6 cr	1	III
MAT-41286 Multivariate Statistical Methods	6 cr	2	IV
MAT-45706 Introduction to scientific computing	3 cr	3	III
MAT-58006 Master's Thesis Seminar	1 cr		V
Total	16 cr

1. Compulsory course for the focus area in Discrete Mathematics
2. Compulsory course for the focus area in Mathematical Modelling and Scientific Computation
3. Compulsory course for the focus area in Statistics and Data Modelling

Supplemental courses

The complementary courses should be chosen mainly according to the recommendation of the department. This recommendation is given in the attached document. Choice of other courses and courses of other departments is possible by permission.

Please select courses from the list to complete the study block`s requirement (30)

Course	Credit points
MAT-31086 Complex Analysis	5 cr
MAT-31096 Matrix Algebra 1	5 cr
MAT-31107 Numerical Analysis	4 cr
MAT-33506 Differential equations	5 cr
MAT-35006 Dynamical Systems and Chaos	6 cr
MAT-41126 Optimization Theory 1	7 cr
MAT-41156 Algebra 1	5 cr
MAT-41176 Theory of Automata	5 cr
MAT-41186 Formal Languages	6 cr
MAT-41196 Graph Theory	6 cr
MAT-41286 Multivariate Statistical Methods	6 cr
MAT-41297 Measure and Integral Theory	8 cr
MAT-42106 Applied logics	5 cr
MAT-45706 Introduction to scientific computing	3 cr
MAT-45807 Mathematics for Positioning	4 cr
MAT-51206 Coding Theory	6 cr
MAT-51216 Information Theory	4 cr
MAT-51266 Stochastic Processes	6 cr
MAT-51316 Partial Differential Equations	5 cr
MAT-51606 Project Work in Mathematics	2-10 cr
MAT-51627 Matrix Algebra 2	7 cr
MAT-51636 Statistical Quality Control	4 cr
MAT-51646 Design of Experiments	4 cr
MAT-51656 Reliability Mathematics	6 cr
MAT-51706 Bayesian Methods	6 cr
MAT-51906 Probability in Modern Mathematics	3 cr
MAT-52506 Inverse Problems	6 cr
MAT-52606 Mathematical Cryptology	6 cr
MAT-53707 Algebra 2	6 cr
MAT-53756 Introduction to Geometric Algebras and their Applications	7 cr
MAT-55016 Mathematics special assignment	5 cr
MAT-55216 Topics in applied mathematics	3-5 cr
MAT-55406 Finite Fields	4 cr
MAT-59056 Mathematical Logic	7 cr
MAT-66006 Post Graduate Seminar on Mathematics	2-10 cr
MAT-66056 Post-Graduate Seminar on Applied Mathematics	2-10 cr

Additional information

Advanced studies in Mathematics cover a wide spectrum of mathematics applicable in information technology. This is reflected in the variety of focus areas in Mathematics. An advanced study module can be chosen from the following three fields: - Discrete Mathematics - Mathematical Modelling and Scientific Computation - Statistics and Data Modelling These give a basic mathematical background in their respective areas of application in information technology, and constitute well-defined major subjects of their own.

Documents

Mathematics_e.pdf

Last modified

12.01.2011