Syllabus for Transform Theory with Applications

Transformteori med tillämpningar

Syllabus

  • 5 credits
  • Course code: 1MA269
  • Education cycle: First cycle
  • Main field(s) of study and in-depth level: Mathematics G2F

    Explanation of codes

    The code indicates the education cycle and in-depth level of the course in relation to other courses within the same main field of study according to the requirements for general degrees:

    First cycle
    G1N: has only upper-secondary level entry requirements
    G1F: has less than 60 credits in first-cycle course/s as entry requirements
    G1E: contains specially designed degree project for Higher Education Diploma
    G2F: has at least 60 credits in first-cycle course/s as entry requirements
    G2E: has at least 60 credits in first-cycle course/s as entry requirements, contains degree project for Bachelor of Arts/Bachelor of Science
    GXX: in-depth level of the course cannot be classified.

    Second cycle
    A1N: has only first-cycle course/s as entry requirements
    A1F: has second-cycle course/s as entry requirements
    A1E: contains degree project for Master of Arts/Master of Science (60 credits)
    A2E: contains degree project for Master of Arts/Master of Science (120 credits)
    AXX: in-depth level of the course cannot be classified.

  • Grading system: Fail (U), Pass (3), Pass with credit (4), Pass with distinction (5)
  • Established: 2018-03-06
  • Established by:
  • Revised: 2018-08-30
  • Revised by: The Faculty Board of Science and Technology
  • Applies from: week 30, 2019
  • Entry requirements: 60 credits in science and engineering. 30 credits in mathematics including linear algebra and multivariable calculus. Electric circuit theory.
  • Responsible department: Department of Mathematics
  • Other participating department(s): Department of Engineering Sciences

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.

Reading list

Reading list

Applies from: week 30, 2019

  • Vretblad, Anders Fourier analysis and its applications

    New York: Springer, 2003

    Find in the library

    Mandatory