Week 1 | |||
---|---|---|---|
Date | Topic | Worklist | Reference |
02-Jan | Introduction; Complex Numbers. | hw 1 | slides, joel’s notes |
Week 2 | |||
Date | Topic | Worklist | Reference |
07-Jan | Wave Equation: Separation of Variables. Superposition. |
hw 1 | slides, joel’s notes |
09-Jan | Wave Equation: Plane Waves Orthogonality |
hw 2 | slides |
Week 3 | |||
Date | Topic | Worklist | Reference |
14-Jan | Wave Equation: Matching initial conditions |
hw 2 | slides |
16-Jan | Heat Equation | hw 3 | slides, joel’s notes |
Week 4 | |||
Date | Topic | Worklist | Reference |
21-Jan | Fourier Series: Defn, Theorem, Square Wave |
slides, joel’s notes | |
23-Jan | Fourier Series: Extensions; Even & Odd Extensions Parseval Theorem |
hw 4 | slides |
Week 5 | |||
Date | Topic | Worklist | Reference |
28-Jan | Fourier Series: Linearity; Shifting; Scaling etc. |
hw 4 | slides |
30-Jan | Fourier Transform: Introduction as limit of FS RLC Circuits; comparison with Laplace |
hw 5 | slides, joel’s notes |
31-Jan | Midterm #1
|
02 Jan – 28 Jan (inclusive) |
|
Week 6 | |||
Date | Topic | Worklist | Reference |
04-Feb | Fourier Transform: Time-shift; Scaling etc. |
hw 5 | slides |
06-Feb | Fourier Transform: Theorem; Freq-shift; Inversion & Duality |
hw 6 | slides |
Week 7 | |||
Date | Topic | Worklist | Reference |
Family Day | |||
13-Feb | Fourier Transform: Differentiation Eg: Telegrapher’s Equation |
hw 6 | slides, joel’s notes, telegraph |
Week 8 | |||
Date | Topic | Worklist | Reference |
Reading Week | |||
Reading Week | |||
Week 9 | |||
Date | Topic | Worklist | Reference |
25-Feb | Fourier Transform: Impulses Summary of Basic Examples |
hw 7 | slides |
27-Feb | Fourier Transform: Convolution Impulse as Time-shift Eg: AM Radio |
hw 7 | slides |
Week 10 | |||
Date | Topic | Worklist | Reference |
04-Mar | Fourier Transform: More Examples Eg: Echo-elimination |
hw 7 | slides |
06-Mar | Discrete FT | hw 8 | slides, joel’s notes |
07-Mar | Midterm #2
|
30 Jan – 04 Mar (inclusive) |
|
Week 11 | |||
Date | Topic | Worklist | Reference |
11-Mar | Discrete FT | hw 8 | slides |
13-Mar | Discrete-Time FT: Sampling more Convolutions |
hw 8 | slides, joel’s notes |
Week 12 | |||
Date | Topic | Worklist | Reference |
18-Mar | Discrete-Time FT: Definition Convolution & Time-shift Difference Equations |
hw 9 | slides |
20-Mar | Z-Transform: Why DTFT isn’t enough |
hw 9 | slides, joel’s notes |
Week 13 | |||
Date | Topic | Worklist | Reference |
25-Mar | Z-Transform: Poles, Inverting |
tba | slides |
27-Mar | Z-Transform: Properties, stable, causal |
tba | slides |
Week 14 | |||
Date | Topic | Worklist | Reference |
Easter Monday | |||
03-Apr | Review | ||
Exam Period 10 Apr – 24 Apr |