MA-431 Mathematics for mechatronics
- ECTS Credits:
- 7.5
- Responsible department:
- Faculty of Engineering and Science
- Course Leader:
- Svitlana Rogovchenko
- Lecture Semester:
- Autumn
- Teaching language:
- Norwegian or English
- Duration:
- 1 term
The course is connected to the following study programs
Teaching language
Norwegian or EnglishCourse contents
Introducing the use of MAPLE 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); Partial differential equation (the heat equation and the wave equation). Some simple partial differential models solved by separation of independent variables.
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 learn
-
solve the mathematical models in terms of ordinary or partial differential equations using analytical and numerical methods
-
apply theory and computer tools for analyzing stability of nonlinear systems
Evaluation
Course evaluation is carried out as a midterm evaluation in accordance with standard procedure in the quality assurance system, chapter 2.1.1., unless other information is given in the beginning of the semester.
Assessment methods and criteria
Portfolio (30%) and written exam, 4 hours (70%). 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-417 – Mathematics for Mechatronics | 7.5 |