Date 
Topic 
Reading 
Problems 


Aug 25 W 
Introduction. Begin review of basics 
1.1 
Ch 1 P1,3,5,9,13 
Aug 27F 
Scalar and Vector Fields. 
1.2 
Due Sep 1 
Aug 30 M 
Curvilinear coordinates 
1.3 
Ch 1 P 14,15,20 
Sep 1 W 
Complex variables and their use in physics 
2.1 
Ch 2 P1,4,7 
Sep 3 F 
Complex functions. Branch cuts. 
2.12 
Due Sep 8 
Sep 6 M 
LABOR DAY NO CLASS 
Sep 8 W 
Calculus with complex variables. 
2.2 
Ch 2 P9,10,11 
Sep 10 F 
Integration Cauchy Theorem. 
2.23 
Due Sep 15 
Sep 13 M 
Complex series. 
2.3 


Sep15 W 
Use of complex variables in fluid flow. 
2.4 

Sep 17 F 
Poles and zeroes. 
2.5 
Ch 2 P13d, 14d,15a,16a 
Sep 20 M 
The residue theorem. 
2.6 
Due Sep 22 
Sep 22 W 
Examples. 
2.7 

Sep 24 F 
Conformal mapping. 
2.8 

Sep 27 M 
The gamma function 
Interlude 
Ch 2 P17c,18b,19a,20c,21b 
Sept 29 W 
Quick review of Differential eqns. 
Ch 3 
Due Sep 29 
Oct 1 F 
More on DEs 
Ch 3 

Oct 4 M 
MIDTERM EXAM. 

Oct 6 W 
Fourier Series. 
4.14.2 
Ch 2 p 24 Ch 3 P3,9,12 
Oct 8 F 
Sine and cosine series 
4.3 
Due Oct 6 
Oct 11 M 
Examples 
4.4 
Ch 4 P1,3,4,6 
Oct 13 W 
Convergence. 
4.5 
Due Oct 13 
Oct 15 F 
Laplace transforms. 
5.1 
Oct 18 M 
Inversion: specific examples. 
5.2 
Ch 4 P 8,10,11 
Oct 20 W 
Examples 
5.3 
Ch 5 P1a,2 
Oct 22 F 
More tricks 
5.4 
Due Oct 20 
Oct 25 M 
Convolution 
5.5 
Oct 27 W 
The mellin Inversion integral. 
5.6 
Ch 5 P3,4,7,8 
Oct 29 F 
Examples. 
5.7 
Due Oct 27 
Nov 1 M 
Delta functions 
6.1 
Ch 5 P 6a,c,9,10 
Nov 3 W 
Properties of deltafunctions. 
6.1 
Due Nov 3 
Nov 5 F 
More rigorous math on delta fns. 
6.2 
Ch 6 P2a,4 
Nov 8 M 
Examples. 
6. 3 
Due Nov 11 
Nov 10 W 
Sequences and series 
6.4 
Ch 6 P 5,6,7 
Nov 12 F 
Distributions in N dimensions 
6.5 6 
Due Nov 18 
Nov 15 M 
Fourier transforms. 
7.12 
Nov 17 W 
Basic properties. 
7.3 
Ch 7 P1 (Box fn only) 2a,5a,8 
Nov 19 F 
Examples. 
7.45 
Due Nov 25 
Nov 22 M 
Examples. 
7.45 


Nov 24W 
Power spectra 
7.6 

Nov 26 F 
THANKSGIVING  NO CLASS 
Nov 29 M 
SturmLiouville Theory 
8.1 
Ch 7 P 10,12 
Dec 1 W 
ADVISING DAY  NO CLASS 

(In integrand P12, x should be t) 
Dec 3 F 
SturmLiouville Theory 
8.2 
Due Dec 4 
Dec 6 M 
Spherical problems 
8.3 
Ch 9 P 1,3,4,5 
Dec 8 W 
Spherical problems 
8.3 
Due Dec 11 
10 F 
Group theory 
Op 2 
If this schedule poses 
13 M 
FINAL EXAMINATION HANDED OUT 10:00am 

a hardship for you, you 
15 W 
Final Exam due 10:00am 

must notify me by Dec 1. 