MA-431 Mathematics for mechatronics (Autumn 2023)
- ECTS Credits:
- 7.5
- Responsible department:
- Faculty of Engineering and Science
- Course Leader:
- Svitlana Rogovchenko
- Lecture Semester:
- Autumn
- Teaching language:
- Norwegian or English
- Duration:
- ½ year
Table of contents
The course is connected to the following study programs
Teaching language
Learning outcomes
On successful completion of the course, the student should be able to
- formulate, and in some cases derive, mathematical models in Mechatronics, based on the physical laws of mechanics, heat and electricity
- solve the mathematical models in terms of ordinary differential equations using analytical and numerical methods
- apply theory and computer tools for analyzing stability of nonlinear systems
Contents
Introducing the use of MATLAB software; Differential equations (directions fields, first order, second order and higher order ordinary differential equations); Laplace transform and connection to frequency response and ordinary differential equations; Linear systems (state-space representation, transfer functions, stability analysis, matrix operations, singular values, eigenvalues and eigenvectors); Modelling of linear and non-linear Mechatronics systems; Nonlinear systems (conservative systems, stability concept, stability analysis and Lyapunov theory).
Teaching and learning methods
Examinations
Portfolio (50%) and written exam, 4 hours (50%). Graded assessment.
Student evaluation
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-417 – Mathematics for Mechatronics. | 7.5 |