AMATH 231 - Calculus IV: Vector Calculus and Fourier Series, Fall 2018
AMATH 231: Calculus IV: Vector Calculus and Fourier Series (Fall 2018)
Instructor: E.R. Vrscay
Department of Applied Mathematics
University of Waterloo
Lecture Notes
Week 1
(Vector Calculus)
Week 2
Important vector fields from Physics
(to supplement Week 2 notes).
Week 3
Images as vector-valued functions
Supplementary material: Representation of images as scalar- and vector-valued functions.
The role of the gradient vector in imaging
Supplementary material.
Week 4
Week 5
Week 6
Week 7
Week 8
Week 9
Week 10
("Fourier Series" starts in Lecture 25)
divergence_continuous
Supplementary material: Surface integrals and the divergence theorem for continuous distributions of charge.
stokes_continuous
Supplementary material: Stokes' Theorem and continuous charge distributions.
Week 11
Week 12
Week 13
Lecture 35
"Fourier series - the sequel"