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Course Catalog 2010-2011
MAT-55216 Topics in applied mathematics, 3-5 cr |
Person responsible
Esko Turunen, Robert Piche
Lessons
| Study type | P1 | P2 | P3 | P4 | Summer | Implementations | Lecture times and places |
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Learning outcomes
The student will gain knowledge in a specialised research area of applied mathematics and an understanding of current research questions. The student will be able to understand and solve problems in new situations by applying acquired knowledge, facts, techniques and rules given in the teaching material.
Content
| Content | Core content | Complementary knowledge | Specialist knowledge |
| 1. | Core content is specified separately for each implementation. | Research project management, report writing |
Prerequisite relations (Requires logging in to POP)
Correspondence of content
| Course | Corresponds course | Description |
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Additional information
The course topics vary yearly. The aim of the course is to provide graduate-level teaching in a specialised topic of applied mathematics. The teaching may be given as lectures or as a seminar, and often involves guest teachers.
Suitable for postgraduate studies
More precise information per implementation
| Implementation | Description | Methods of instruction | Implementation |
| Modern mathematical methods in decision making and negotiation theory. This web course is prepared in five European universities (Univ. Rey Juan Carlos, Univ Paris Dauphine, Univ de Coimbra, Budapest Polytechnical Inst., TUT). The course is composed of 10 separate modules that can be studied separately. Each module has a value of 3 credits and includes 20-30 hours of lectures, homework and/or a project. The module topics are Negotiation Analysis, Quality Control, Public Policy Evaluation, Decision Analysis and Artificial Intelligence, Multi Criteria Decision Analysis, Multi Objective Heuristics, Computational Intelligence, Operational Research Methods, Many-valued and Para-consistent Approach in Decision Making, Data Mining Methods. | |||
| Bayesian estimation of discrete-time processes (5 credits): Modeling of time-varying systems with uncertainty, optimal filtering and optimal smoothing, linear and nonlinear Kalman filters (EKF/UKF/SLF), linear and non-linear Rauch-Tung-Striebel smoothers, sequential Monte Carlo methods, particle filters and smoothers. Example applications from navigation, remote surveillance and time series analysis. |