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
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
Home page of the course
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