Fourier analysis and applications to PDE

Week 0
Introduction and complex numbers
Reading assignment
Homework 0
Week 1
The periodic world & Fourier coefficients
Homework 1 on Gradescope
Week 2
Convolution and random walks (in-class notes)
– Mathematica Lab: (Link)
– Mathematica Lab (PDF)
Reading
Homework 2 on Gradescope
Week 3
Meeting 1 Fourier Transform on the Real Line and Application to Differential Equations (class notes)
Meeting 2 (Mathematica Activities) Fourier Transform on the Real Line and Application to Differential Equations
Reading
Homework 3 on Gradescope