Transform Theory with Applications
Syllabus, Bachelor's level, 1MA269
- Code
- 1MA269
- Education cycle
- First cycle
- Main field(s) of study and in-depth level
- Mathematics G2F
- Grading system
- Fail (U), Pass (3), Pass with credit (4), Pass with distinction (5)
- Finalised by
- The Faculty Board of Science and Technology, 6 March 2018
- Responsible department
- Department of Mathematics
Entry requirements
60 credits in science and engineering. 30 credits in mathematics including linear algebra and multivariable calculus. Electric circuit theory.
Learning outcomes
In order to pass the course (grade 3) the student should be able to
• account for basic concepts and theorems within transform theory
• demonstrate basic numeracy skill concerning concepts in the previous point
• apply theory of transforms in order to solve both mathematical and physical/technical problems
Content
Basic theory and properties of Fourier series, Fourier-, Laplace- and z-transforms. Applications to ordinary and partial differential equations and difference equations. Continuous and discrete time invariant systems: causality and time invariance. Stability conditions. Laboratory work with the purpose of deepening the understanding of transform theory and its applications relevant to the masterprogramme in Renewable Electricity Production.
Instruction
Lectures, problem solving session and laboratory work.
Assessment
Written examination at the end of the course, 4 credits. Laboratory work and presentation, 1 credit.
Other directives
The course may not be included in exam with the course 1MA034 Transform Methods.