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
Lessons
| 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
| 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:
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 |
Prerequisites
| 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 |