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Fourier Analysis - Period 1+2
Social Sciences & Humanities Program
Amsterdam, Netherlands
Dates: 8/20/22 - 12/24/22
Fourier Analysis - Period 1+2
OVERVIEW
CEA CAPA Partner Institution: Vrije Universiteit Amsterdam
Location: Amsterdam, Netherlands
Primary Subject Area: Mathematics
Instruction in: English
Course Code: XB_0005
Transcript Source: Partner Institution
Course Details: Level 200
Recommended Semester Credits: 3
Contact Hours: 84
DESCRIPTION
Topics that will treated are:
a) The genesis of Fourier Analysis, in particular the investigation of the wave equation
b) Basic Properties of Fourier Series (uniqueness, convolutions, Dirichlet and Poisson kernels)
c) Convergence of Fourier Series (pointwise, mean-square)
d) Cesàro and Abel Summability
e) Some applications of Fourier Series
f) The Fourier transform on the real line (definition, inversion, Plancherel formula)
g) Applications of the Fourier transform to some partial differential equations
Contact hours listed under a course description may vary due to the combination of lecture-based and independent work required for each course therefore, CEA's recommended credits are based on the ECTS credits assigned by VU Amsterdam. 1 ECTS equals 28 contact hours assigned by VU Amsterdam.
a) The genesis of Fourier Analysis, in particular the investigation of the wave equation
b) Basic Properties of Fourier Series (uniqueness, convolutions, Dirichlet and Poisson kernels)
c) Convergence of Fourier Series (pointwise, mean-square)
d) Cesàro and Abel Summability
e) Some applications of Fourier Series
f) The Fourier transform on the real line (definition, inversion, Plancherel formula)
g) Applications of the Fourier transform to some partial differential equations
Contact hours listed under a course description may vary due to the combination of lecture-based and independent work required for each course therefore, CEA's recommended credits are based on the ECTS credits assigned by VU Amsterdam. 1 ECTS equals 28 contact hours assigned by VU Amsterdam.