Course Catalog 2011-2012
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Course Catalog 2011-2012

MAT-55216 Topics in applied mathematics, 3-5 cr

Additional information

The course topics vary yearly. The aim of the course is to provide advanced-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. Implementations in 2011-2012 include "Quantum Structures" in September 2011.
Suitable for postgraduate studies

Person responsible

Esko Turunen, Robert Piche

Lessons

Study type P1 P2 P3 P4 Summer Implementations Lecture times and places
Lectures
 12 h/per

 

 

 

 
MAT-55216 2011-01 Wednesday 13 - 16, Td308
Thursday 13 - 16, Td308
Wednesday 13 - 16, Td418

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.   Small research project management, report writing   

Prerequisite relations (Requires logging in to POP)



Correspondence of content

Course Corresponds course  Description 
MAT-55216 Topics in applied mathematics, 3-5 cr MAT-55210 Topics in Applied Mathematics, 3-5 cr  
MAT-55216 Topics in applied mathematics, 3-5 cr MAT-55217 Topics in Applied Mathematics, 3-9 cr  

More precise information per implementation

Implementation Description Methods of instruction Implementation
MAT-55216 2011-01 Introduction to Quantum Structures (1 cr) Lectures Sept. 7, 8, 15 2011 1-4pm in TD 308, Sept 14 in TD 418 Various kinds of quantum structures will be introduced starting from Boolean algebras (they represent "classical" non-quantum model), namely orthomodular lattices, orthomodular posets, orthoalgebras and effect algebras (they are the most general structures considered in this lecture). Examples of these structures will be presented and relationships between them will be studied. States (measures) on quantum structures (including Jauch-Piron and subadditive states) and properties of the state space will be defined. Two main representations of quantum structures will be presented: graph orthogonality representations (so-called Greechie diagrams) and set representations (by a family of sets with set-theoretic operations). Basic properties of effect algebras will be derived (e.g. cancellation laws) and nonisotropic, sharp, principal and central elements will be studied.        

Last modified24.08.2011