Class schedule for MA316.
 
 
Day Topics Sections
M
Introduction to PDEs
Advection Equations and the Method of Characteristics
1.1
T
Behavior of the Wave Equation
Derivation of the Wave Equation
1.2
3.1 - 3.2,
W
Derivation of the Heat Equations
Periodic Functions
Fourier Series Introduction
3.5 (p. 142-144)
2.1
2.2
Th
Fourier Series Calculations
2.2 - 2.4
F
Complex Form of Fourier Series
Fourier Series Theory
2.6
2.5, 2.9



M
Solving the Wave Equation
3.3 - 3.4
T
Solving the Wave Equation in 2D
Solving the Heat Equation
3.7 (p. 155 - 160)
3.5
W
Solving the Heat Equation: Various Boundary Conditions
3.6 - 3.7
Th
Test 1

F
Solving Poisson's Equation;
Eigenfunction Expansion
3.8 - 3.9



M
The Wave Equation in Polar Coordinates
4.1 - 4.2
T
Poisson and Helmoltz Equations in Polar Coordinates 4.4, 4.6
W
The Fourier Transform: Theory
7.1 - 7.2
Th
The Fourier Transform: Applications
7.3 - 7.4
F
Work on projects




M
Test 2

T
Presentations

W
Presentations