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Course Catalog 2011-2012
MAT-33506 Differential equations, 5 cr |
Person responsible
Mikko Kaasalainen
Lessons
| Study type | P1 | P2 | P3 | P4 | Summer | Implementations | Lecture times and places |
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Requirements
Exam and problem classes
Completion parts must belong to the same implementation
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 |
Prerequisite relations (Requires logging in to POP)
Correspondence of content
| Course | Corresponds course | Description |
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More precise information per implementation
| Implementation | Description | Methods of instruction | Implementation |
| Intro to systems of differential equations |