MA-226 Differential Equations
- ECTS Credits:
- 10
- Responsible department:
- Faculty of Engineering and Science
- Course Leader:
- Trond Arnold Abrahamsen
- Lecture Semester:
- Autumn
- Teaching language:
- Norwegian. Will be taught in English if required.
- Duration:
- 1 term
The course is connected to the following study programs
- Industrial Mathematics, Bachelor's Programme
- Advanced Teacher Education level 8-13, 5-year Master's Programme
Teaching language
Norwegian. Will be taught in English if required.Recommended prerequisites
MA-183, MA-184, and MA-185
Course contents
Introduction to mathematicel modelling. Analytical solution techniques for some common types of differential equations. Existence and uniqueness theorems for differential equations. Qualitative discussion of systems of autonomous differential equations. Use of computers to find and present solutions of differential equations and explore solution spaces. The students will encounter problems from economics, mechanics and ecology, which lead to difference and differential equations, and systems of such equations.
Learning outcomes
Upon successful completion of the course, the student will be able to
-
Model simple processes and explain the basics of mathematical modelling
-
Formulate simple differential equations of first and second order
-
Draw and interpret direction fields and solution curves for differential equations and solve common types of linear, separable, and exact equations analytically
-
Determine stability properties of solutions of autonomous nonlinear differential equations
-
Use computers to find and present solutions and explore solution spaces
-
Explain some classical models where differential equations are used, and how the discipline of differential equations evolved historically
Examination requirements
Mandatory hand-ins must be approved. See Canvas for details.
Teaching methods
Lectures, group work, and mandatory hand-ins. Estimated workload of the course is 267 hours.
Evaluation
The faculty member in charge of the module confers with the student rep which form of evaluation will be organized, and whether midterm or post hoc. Cfr the University regulations on quality assurance, chapter 4.1.
Admission for external candidates
No
Offered as Single Standing Module
Subject to capacity constraints
Assessment methods and criteria
Written, supervised, and graded exam, 5 hours.
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-215 – Differential Equations | 7.5 |