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
Implementation 1: MAT-60156 2015-01
| Study type | P1 | P2 | P3 | P4 | Summer |
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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:
Study material
| Type | Name | Author | ISBN | URL | Additional information | Examination material |
| Book | Differential Equations, Dynamical Systems and an Introduction to Chaos | Morris W. Hirsch, Stephen Smale, Robert Devaney | 0123497035 | Academic Press 2002 | No |
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
Correspondence of content
| Course | Corresponds course | Description |
| MAT-60156 Differential Equations, 5 cr | MAT-60150 Differential Equations, 5 cr |