Course Catalog 2011-2012
International

Basic Pori International Postgraduate Open University

|Degrees|     |Study blocks|     |Courses|    

Opinto-opas 2011-2012

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 carry out typical mathematical modelling tasks and implement the models in a computer program. 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 two focus areas has its own compulsory course and a recommended set of choices for the complementary courses which are listed in a separate table.

Course Credit points Alternativity Class
MAT-41196 Graph Theory 6 cr 1   III  
MAT-45706 Introduction to scientific computing 3 cr 1   III  
MAT-58006 Master's Thesis Seminar 1 cr   V  
Total 10 cr    

1. Graph Theory is compulsory for the Discrete Mathematics focus area; Intro Sci Comp is compulsory for the Mathematical Modelling focus area.

Supplemental courses

The complementary courses should be chosen mainly according to the recommendation of the department. This recommendation is given in a separate document. 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-34006 Statistics 2 6 cr
MAT-35006 Dynamical Systems and Chaos 6 cr
MAT-41146 Introduction to Functional Analysis 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-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 applicable in information technology can be made in one of two focus areas: Discrete Mathematics or Mathematical Modelling. These studies provide a solid mathematical background in their respective areas of application in information technology, and each focus area constitutes a well-defined major subject.

Documents

Mathematics_e.pdf

Last modified22.03.2011