|
Date |
|
Day |
Chapter |
Topics |
| Jan |
12 |
M |
1 |
Sequences & Infinite Series of Numbers |
| |
14 |
W |
1 |
Infinite Series/Convergence |
| |
16 |
F |
1 |
Convergence Tests/Infinite Series of Functions |
| |
19 |
M |
|
Holiday |
| |
21 |
W |
1 |
Power Series/Taylor Series |
| |
23 |
F |
1 |
Special Series and Convergence |
| |
26 |
M |
1 |
Binomial Expansion and Approximation |
| |
28 |
W |
1/2 |
Order of Functions/Trigonometric Series |
| |
30 |
F |
2 |
Trigonometric Series Examples |
| Feb |
2 |
M |
2 |
General Intervals/Fourier Sine Series |
| |
4 |
W |
2 |
Fourier Cosine Series/Periodic
Extensions |
| |
6 |
F |
2 |
Gibbs Phenomena |
| |
9 |
M |
|
Exam I |
| |
11 |
W |
3 |
Function Spaces |
| |
13 |
F |
3 |
Gram Schmidt Orthogonalization |
| |
16 |
M |
3 |
Orthogonal and Legendre Polynomials |
| |
18 |
W |
3 |
Fourier Legendre Series |
| |
20 |
F |
3 |
Gamma/Bessel Functions |
| |
23 |
M |
4 |
Complex Numbers/Operations |
| |
25 |
W |
4 |
Complex Functions |
| |
27 |
F |
4 |
Derivatives of Complex
Functions |
|
Spring
Vacation - Mar 2-6 |
| Mar |
9 |
M |
4 |
Integration/Path Integrals |
| |
11 |
W |
4 |
Cauchy Theorem/Analytic
Functions |
|
13 |
F |
4 |
Cauchy
Integral Formula/Laurent Series |
| |
16 |
M |
4 |
Singularities/Residue Theorem |
| |
18 |
W |
4 |
Examples/Real Integrals |
| |
20 |
F |
4 |
Infinite Integrals |
| |
23 |
M |
|
Exam II |
| |
25 |
W |
5 |
Exponential Fourier Transform |
| |
27 |
F |
5 |
Dirac Delta Function |
| |
30 |
M |
5 |
Properties/Examples of Fourier
Transforms |
| Apr |
1 |
W |
5 |
Convolution
Theorem/Laplace Transforms |
| |
2 |
R |
|
No
Class |
| |
3 |
F |
|
No
Class |
|
|
6 |
M |
5 |
Laplace Transform Properties |
| |
8 |
W |
5 |
Laplace Transform Examples/MATLAB |
| |
10 |
F |
5 |
ODEs/Convolution Theorem |
| |
13 |
M |
5 |
Inverse Laplace Transform/Series
Summation |
| |
15 |
W |
|
Exam III |
| |
17 |
F |
6 |
Analog to Digital/DFT Plots/MATLAB |
| |
20 |
M |
6 |
Discrete Orthogonality |
| |
22 |
W |
6 |
Analog to Discrete - Comb
Function |
| |
24 |
F |
6-7 |
Sampling Theory/Signal
Analysis |
| |
27 |
M |
7 |
Effects of Sampling/Aliasing |
| |
29 |
W |
7 |
Epilogue |
|
May |
6 |
W |
|
Final 8:00-11:00 |