MA-215 Differential Equations
- ECTS Credits:
- 7.5
- Responsible department:
- Faculty of Engineering and Science
- Course Leader:
- Rolf Tomas Nossum
- Lecture Semester:
- Autumn
- Teaching language:
- Norwegian
- Duration:
- 1 term
The course is connected to the following study programs
- Bachelor's Programme in Mathematics
- Advanced Teacher Education level 8-13, 5-year Master's Programme
Teaching language
NorwegianRecommended prerequisites
MA-163, MA-164 and MA-218
Course contents
Introduction to and awareness of the steps in a mathematical modeling process, including analytical solutions of some common differential equations ( first and second order linear differential equations, separable, homogeneous and exact equations, linear systems of equations with constant coefficients). Introduction to the theory of existence and uniqueness of solutions, and to the qualitative study of autonomous equations. The student will meet problems from economics, mechanics and ecology which lead to first and second order differential equations, and systems of first order differential equations (i.a. population dynamics).
Learning outcomes
On successful completion of the course, the student should be able to
-
model simple processes and explain the main steps in mathematical modeling
-
set ut simple difference equations and solve linear difference equations of first and second order.
-
draw and interpret direction fields and solution curves of first order to differential equations and also solve first order linear, separable and exact equations
-
explain some classical models where differential equations are used
-
solve second and higher order ordinary differential equations
-
set up and solve systems og linear first order differential equations
Examination requirements
Required assignments must be approved, see Canvas for more information.
Teaching methods
Lectures, work in small groups and compulsory assignemets. The course has an expected workload of around 200 hours.
Evaluation
The study programme manager, in consultation with the student representative, decides the method of evaluation and whether the courses will have a midterm- or end of term evaluation, see also the Quality System, section 4.1. Information about evaluation method for the course will be posted on Canvas.
Offered as Single Standing Module
Yes
Assessment methods and criteria
5-hour written exam. Graded assessment.
Reduction of Credits
This course’s contents overlap with the following courses. A reduction of credits will occur if one of these courses is taken in addition:
| Course | Reduction of Credits |
|---|---|
| MA-210 – Modelling and Differential Equations 1 | 7.5 |
| MA-203 – Differential Equations | 7.5 |
| MA-226 – Differential Equations | 7.5 |