Fourier Analysis
7.5 ECTS credits- Fourier coefficients and Fourier series of periodic functions
- Convergence of Fourier series for piecewise smooth functions
- Summation by parts
- Dirichlet kernel. Summation kernels
- General Fourier series (introduction to L2 theory)
- Bessels inequality and Parsevals equality
- Convolutions
- Fourier transform
- Plancherel theorem
- Orthogonal polynomials, especially Legendre polynomials
- Solution of some initial and boundary value problems for partial differential equations using Fourier series and Fourier transform.
Progressive specialisation:
G2F (has at least 60 credits in first‐cycle course/s as entry requirements)
Education level:
Undergraduate level
Admission requirements:
Registered for 60 ECTS credits in Mathematics with 45 ECTS credits completed, including Linear Algebra, 7.5 ECTS credits, Calculus in Several Variables, 7.5 ECTS credits, Differential Equations and Vector Calculus, 6.0 ECTS credits, and Introduction to Calculus, 7.5 ECTS credits, or equivalent.
Selection:
Selection is usually based on your grade point average from upper secondary school or the number of credit points from previous university studies, or both.
This course is included in the following programme
- Mathematics Programme (studied during year 2)