Fourier Analysis · Calculus
Applications to PDEs and Signal Processing
Fourier analysis is the computational engine of mathematical physics. The heat equation becomes an ODE in the frequency domain after a Fourier transform.
WHAT STUDENTS WILL LEARN
✓Solve heat and wave equations using Fourier methods
✓Apply Fourier transforms to solve PDEs on the real line
✓Design filters in the frequency domain
✓Connect to Hilbert spaces and spectral theory
COURSE OUTLINE · CLICK A PART FOR RESOURCES