MAT-60156 Differential Equations, 5 cr

Additional information

This is a parallel course for the finnish course "Differentiaaliyhtälöt". The course will be lectured in English every second year.

Person responsible

Riikka Kangaslampi


Implementation Period Person responsible Requirements
MAT-60156 2019-01 3 Pasi Raumonen
Matti Viikinkoski
Exercises and final examination

Learning Outcomes

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


Content Core content Complementary knowledge Specialist knowledge
1. Basic notions     
2. 1st order differential equations     
3. 2nd order differential equations     
4. Existence and uniqueness of solutions     
5. ODE systems     
6. Autonomic systems     
7. Boundary value problems     

Instructions for students on how to achieve the learning outcomes

Two partial examinations or final examination

Assessment scale:

Numerical evaluation scale (0-5)

Partial passing:

Completion parts must belong to the same implementation

Study material

Type Name Author ISBN URL Additional information Examination material
Book   An Introduction to Ordinary Differential Equations   Ravi P. Agarwal, Donal O¿Regan   978-0-387-71275-8     Springer E-kirja/E-book   Yes   


Course Mandatory/Advisable Description
MAT-01260 Matematiikka 2 Mandatory   1
MAT-01266 Mathematics 2 Mandatory   1
MAT-01360 Matematiikka 3 Mandatory   2
MAT-01366 Mathematics 3 Mandatory   2
MAT-02100 Usean muuttujan funktiot Mandatory   3
MAT-02106 Multivariable Calculus Mandatory   3

1 . Insinöörimatematiikka/Matematiikka/Mathematics

2 . Insinöörimatematiikka/Matematiikka/Mathematics

3 . Usean muuttujan funktiot / Multivariable calculus

Correspondence of content

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

Updated by: Kangaslampi Riikka, 01.04.2019