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 |