Transform Theory with Applications

5 credits

Syllabus, Bachelor's level, 1MA269

A revised version of the syllabus is available.
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, 15 October 2021
Responsible department
Department of Mathematics

Entry requirements

60 credits in science and engineering including Electric circuit theory. 30 credits in mathematics including linear algebra and multivariable calculus.

Learning outcomes

On completion of the course, 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.

If there are special reasons for doing so, an examiner may make an exception from the method of assessment indicated and allow a student to be assessed by another method. An example of special reasons might be a certificate regarding special pedagogical support from the disability coordinator of the university.

Other directives

The course may not be included in exam with the course 1MA034 Transform Methods.

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