LF00CS59 Introduction to Fourier Analysis (8 cr)
Cooperation network course
Network: Cross-institutional studies in advanced courses in mathematics and statistics
This course is offered through the Network for Advanced Studies in Mathematics. These studies are available for the following degree students:
- Bachelor's Degree Programme in Mathematics
- Master's Degree Programme in Mathematics
- Bachelor's Degree Programme in Mathematics (Subject Teacher)
- Master's Degree Programme in Mathematics (Subject Teacher)
- Bachelor's Degree Programme in Mathematics, Chemistry or Physics Subject Teacher Education and Primary Teacher Education (Specialication in Mathematics)
- Master's Degree Programme in Mathematics, Chemistry or Physics Subject Teacher Education and Primary Teacher Education (Specialication in Mathematics)
- Doctoral Programme in Mathematics and Statistics
- Doctoral Programme in Mathematics and Science (Specialication in Mathematics)
Description
The course covers basic properties of Fourier series and Fourier transforms, and of the discrete Fourier transform. In addition, some applications of Fourier Analysis are included in the course, including solution methods for partial differential equations.
Learning outcomes
Upon successful completion of this course the students will be able to calculate the Fourier coefficients of a given integrable function, to check the conditions which guarantee pointwise and absolute convergence of Fourier series, and knows the basic concepts related to the continuous Fourier transform. In addition, the student will be able to calculate the discrete Fourier transform of a given function and has an idea of the wide range of possible applications of Fourier-Analysis.
Additional information
This course is open for everyone.
The course is held every other year during the autumn semester.
Description of prerequisites
Basic understanding of series and integration theory.