Course Catalog 2014-2015 International Basic Pori International Postgraduate Open University |Degrees|     |Study blocks|     |Courses|

Course Catalog 2014-2015

MAT-60156 Differential Equations, 5 cr

Additional information

This is a parallel course for the finnish course "Differentiaaliyhtälöt". THERE ARE NO LECTURES IN ENGLISH. The lecture notes, exercises, and exams are available in English. Partial exams and exams are also english.

Person responsible

Heikki Orelma

Lessons

Study type	P1	P2	P3	P4	Summer	Implementations	Lecture times and places
Lectures Excercises			3 h/week  2 h/week	+3 h/week +2 h/week		MAT-60156 2014-01

Requirements

Two partial examinations or final examination
Completion parts must belong to the same implementation

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.

Instructions for students on how to achieve the learning outcomes

Two partial examinations or final examination

Assessment scale:

Numerical evaluation scale (1-5) will be used on the course

Partial passing:

Completion parts must belong to the same implementation

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	No	English

Prerequisites

Course	Mandatory/Advisable	Description
MAT-01260 Matematiikka 2	Mandatory
MAT-01360 Matematiikka 3	Mandatory

Additional information about prerequisites
Basic Engineering Mathematics or Honour's Mathetics Courses

Prerequisite relations (Requires logging in to POP)

Correspondence of content

Course	Corresponds course	Description
MAT-60156 Differential Equations, 5 cr	MAT-60150 Differential Equations, 5 cr

More precise information per implementation

Implementation	Description	Methods of instruction	Implementation
MAT-60156 2014-01	Parallel course to the finnsish course "Differentiaaliyhtälöt". No teatching in english. Lecture notes, exercises and (partial) exams are available in english.

Last modified

08.05.2014