Engineering Sciences 92

Course Schedule

DAY	DATE	TOPIC	READING (text)
VECTOR SPACES
1	W Sept 23	Course introduction; vector spaces.	1, 2.1
2	Th Sept 24	Vector spaces	2.2, 2.3
3	F Sept 25	Orthogonal expansions	2.4, 2.5
DFT AND FOURIER SERIES
4	M Sept 28	Discrete Fourier transform (DFT)	3.1, 3.2
5	W Sept 30	DFT Homework 1 due	3.3
6	Th Oct 1	DFT	3.4
7	F Oct 2	Fourier series	4.1, 4.2
8	M Oct 5	Fourier series	4.3, 4.4
9	W Oct 7	Fourier series Homework 2 due	4.5-4.7
	Th Oct 8	QUIZ 1
10	F Oct 9	Discrete-time Fourier transform	4.8, 4.9
FOURIER TRANSFORMS
11	M Oct 12	Fourier transform (Prof. Lotko)	5.1-5.4
12	W Oct 14	Fourier transform theorems (Prof. Lotko) Homework 3 due	5.5
	Th Oct 15	QUIZ 2
13	F Oct 16	Convolution and system modeling	5.6, 5.7
14	M Oct 19	Computing the Fourier transform	5.7, 5.8
15	W Oct 21	Generalized functions Homework 4 due	6.1 6.2
	Th Oct 22	QUIZ 3
16	F Oct 23	Generalized functions	6.3, 6.4
17	M Oct 26	Generalized functions	6.4, 6.5
18	W Oct 28	Sampling Theory Homework 5 due	6.6
	Th Oct 29	QUIZ 4
19	F Oct 30	Sampling Theory	6.6
FUNCTIONS OF A COMPLEX VARIABLE
20	M Nov 2	Complex functions	7.1, 7.2
21	W Nov 4	Analytic functions Homework 6 due	7.3, 7.4
	Th Nov 5	QUIZ 5
22	F Nov 6	Multivalued functions	7.5, 7.6
COMPLEX INTEGRATION
23	M Nov 9	Complex integrals	8.1, 8.2
24	W Nov 11	Cauchy integral theorem and formula Homework 7 due	8.3, 8.4
25	F Nov 13	Laurent series, singularities, and residues	8.5
26	M Nov 16	Integration with residues	8.6
27	W Nov 18	Fourier integrals Homework 8 due	9.1
	Th Nov 19	QUIZ 6
28	F Nov 20	Laplace transform	9.2
29	M Nov 23	Laplace transform, Z transform	9.2, 9.3
30	M Nov 30	Z transform	9.3
31	W Dec 2	Hilbert transform Homework 9 due	9.4
	Sa Dec 5-W Dec 9	FINAL EXAM (8-hour takehome)