1. CE00998-3 Coding and Transformations Sept – Nov 2011

2. Lectures/Tutorials Large lecture (all together) Mon 10.00-11.00 (D109)
Small lecture/tutorial
Group 1: Weds (C307)
Group 2: Mon (C307) C317
Group 3: Tues (C328)
Lab session
Group 1: Fri (KC001)
Group 2: Weds (KC001)
Group 3: Weds (KC001)

3. Generalised Functions
Schedule
Week
Grande Lecture
Petite Lecture
Tutorial
Lab
6 Sep
Introduction
Intro to MAPLE
Intro MAPLE
Integration
13 Sep
Integration by Parts
Step Functions
Matrices
Programming
20 Sep
Fourier Series
Examples
MAPLE
27 Sep FS
Odd & Even Functions
4 Oct
Complex Form
Assignment 1
11 Oct
Class Test 1
Fourier Transforms
18 Oct FT
Properties
25 Oct
Generalised Functions
Assignment 2
1 Nov
Class Test 2
Discrete FT
8 Nov
DFT
Fast FT
Assignment 3
15 Nov
Huffman Coding
22 Nov
Class Test 3

4. Week 4
Fourier Series
Home Work Exercises 1
(see p9 of notes)

5. Finding the Fourier Series
The coefficients are given by
(so is…?
…the mean value of f(x))

6. Exercise (i)
Find the Fourier series for

7. Exercise (i)
Easy integration for
T=2

8. Exercise (i)
Find

9. Exercise (i)
Recall
Sin(x) is an ‘odd’ function

10. Exercise (i)
Find

11. Exercise (i)
Recall
cos(x) is an ‘even’ function

12. Exercise (i)
So the series is
First few terms are

13. Exercise (i)
What does it look like?

14. Exercise (ii)
Find the Fourier series for

15. Exercise (ii)
Easy integration for
T=4

16. Exercise (ii)
Find

17. Exercise (ii)
Find

18. Exercise (ii)
Find

19. Exercise (ii)
Find

20. Exercise (ii)
So the series is
First few terms are

21. Exercise (ii)
What does it look like?