The course is included in these curricula and study modules

  • Automation (el 2004) - Mathematics (el)
  • Telecommunication (el 2004) - Mathematics (el)
  • It 2001 - 2004 - Mathematics
  • Media technology 2001 - 2004 - Mathematics

Level/category

General studies

Teaching language

Swedish

Type of course

Compulsory

Recommended year of study

3

Total number of ECTS

3 cr

Competency aims

The objective of this course is to introduce students to simple series, Fourier series and Fourier transforms.

Learning outcomes

Upon successful completion of the course the student is expected to

  • know how a seqence is related to a series
  • be able to develop and solve problems involving arithmetic and geometric series.
  • be able to linearize functions using first order Taylor polynomials
  • be able to approximate a function in an interval using Taylor and Maclaurin series
  • be able to identify a periodic function
  • be able to identify odd and even functions
  • be able to find the Fourier series representation of a function
  • be able to find the Fourier transform of a function
  • know of some properties of the Fourier transform

Course contents

Sequences and Series

  • sequences
  • arithmetic and geometric series with applications
  • linearization using first order Taylor polynomials
  • Taylor and Maclaurin series
    Fourier series and the Fourier transform
  • introduction
  • periodic waveforms
  • odd and even functions
  • Fourier series
  • The Fourier transform
  • properties of the Fourier transform
  • Spectra

Prerequisites and co-requisites

Mathematics 1, Mathematics 2

Recommended or required reading

Håkan Lennerstad: Serier och transformer, Studentlitteratur, Sverige, 1999

Study activities

  • Lectures - 15 hours
  • Exercise based learning - 30 hours
  • Individual studies - 25 hours
  • - 10 hours

Workload

  • Total workload of the course: 80 hours
  • Of which autonomous studies: 35 hours
  • Of which scheduled studies: 45 hours

Mode of Delivery

Participation in tuition

Assessment methods

Exams

Examiner

Skön Kim

Group size

No limit

Course completion date

Date for course completion will be announced later

Assignments valid until

12 months after course has ended

Assessment methods

Date of examination will be announced later - Exams

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