Course Catalog 2009-2010 Basic Basic Pori International Postgraduate Open University |Degrees|     |Study blocks|     |Courses|

Person responsible

Mikko Kaasalainen

Implementations

	Lecture times and places	Target group recommended to
Implementation 1	Per 4 : Tuesday 13 - 15, SE203 Per 5 : Monday 12 - 14, S2 Friday 12 - 14, S2	3.-n. vuosikurssi International Students

Principles and baselines related to teaching and learning

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Learning outcomes

Learn basics of modeling physical phenomena by differential equations and solving them.

Content

Content	Core content	Complementary knowledge	Specialist knowledge
1.	Solution of a linear, homogeneous system of differential equations by matrix methods. Phase portraits.
2.	Transformation of nth order scalar differential equation into first order system.
3.	Solution of inhomogeneous equation with external force term.
4.	Introduction to nonlinear systems, stability, and chaos.

Study material

Type	Name	Author	ISBN	URL	Edition, availability, ...	Examination material	Language
Book	Differential Equations, Dynamical Systems and an Introduction to Chaos	Morris W. Hirsch, Stephen Smale, Robert Devaney	0123497035		Academic Press 2002		English

Correspondence of content

More precise information per implementation

	Description	Methods of instruction	Implementation
Implementation 1	Introduction to systems of linear differential equations

Last modified	15.01.2010
Modifier	Mikko Kaasalainen