



Due 


from
text 

Aug 27 Tu  Introduction. Begin review of
basics. Vectors 
1.1 LB Interlude I 
Ch 1 P2, 8, 10  Aug 29 

Aug 29 Th  Scalar and Vector Fields.  1.2  
Sep 3 Tu  Curvilinear coordinates  1.3  
Sep 5 Th  More on vectors and curvilinear coordinates  1.36  Ch1 p11, 14, 21, 24, 25a,  Sep 5  
Sep 9 Mon  LAST DAY TO DROP CLASSES  
Sep 10 Tu  Complex variables and their use in physics  2.1  
Sep 12 Th  Complex functions. Branch cuts. Calculus with complex variables. 
2.2  Ch 1 P 30b Ch 2 P2, 6, 8b, 11, 14 Circuit review 
Sep 12  
Sep 17 Tu  Integration Cauchy Theorem. Complex Series 
2.2 , 2.3  


Sep 19 Th  Complex Series Use of complex variables in fluid flow. 
2.3  Ch2 P16a
19, 21c, 22b,e(check errata
for p19) 
Sep 19  
Sep 23 Mon  LAST DAY TO ADD CLASSES  
Sep 24 Tu  Poles and zeroes.  2.4, 5 

Sep 26 Th  The Residue Theorem  2.6 ,7  Ch 2 P 23d, 24c,d, 28b  Sep 26 

Oct 1 Tu  Residue theorem applications 
2.6,7 


Oct 3 Th  Residue theorem more. Conformal mapping. 
2.8  Ch2 p 27b,c, 29d 30a  Oct 3  
Oct 8 Tu  The gamma function . Quick review of Differential eqns.  2.9 Ch 3 


Oct 10 Th  Quick review of Differential eqns.  series soln. 
Ch 3 
Ch 2 p 31b 32b,38  Oct 10  
Oct 15 Tu  MIDTERM EXAM 
Ch 12 

Oct 17 Th  More on DEs, numerical methods  Ch 3 
Ch 3 P 4, 14  Oct 17  
Oct 22 Tu  Fourier Series. Sine and cosine series.  4.13  Ch 3 p28
(Group
project) Start now! 
Nov 7 

Oct 24 Th  Use of FS in physics.
Convergence. Revised Example 
4.45 
Ch3 P31, Ch 4 P7, 9  Oct 24 

Oct 29 Tu  Laplace transforms.  5.15  
Oct 31 Th  Tricks for inversion, Convolution  5.6, 7  Ch 4 P 14, 19 Ch 5 P 1c,f  Oct 31  
Nov 5 Tu  The Mellin Inversion integral. Examples.  5.7  
Nov 7 Th  Delta functions  6.1,2,3  Ch 5 P5b, 7, 16
Ch3 P 28  Nov 7  
Nov 12 Tu  More rigorous math on delta fns. 
6.3,4 

Nov 14 Th  Sequences and series Distributions in N dimensions 
Ch5 P21 Ch 6 P 2,3b,5, 6a, 
Nov 14 

Nov 19 Tu  Fourier transforms

6.4,5,6 

Nov 21 Th  Examples. Use of FT in solving PDEs.  7.1,2,3 
Ch6 P16, 20, Ch7 P1c,2c 
Nov 21  
THANKSGIVING BREAK NO CLASSES 

Dec 3 Tu 
Power spectra Sine and Cosine transforms 
7.4,5,6 7.7 


Dec 5 Th  SturmLiouville Theory  8.1,2  Ch 7 P7, 11, 25a In P 7, plot versus w/w_{0} not wT 
Dec 5  
Dec 10 Tu  Spherical problems, Legendre functions  8.3  

Dec 12 Th  Spherical Harmonics; Bessel
functions Last class 
8.4  Ch 8 P2(ii), 6 
Dec 12  
Dec 17 Tu 
FINAL EXAMINATION: In class exam 10:45 am 1:15 pm Take home exam handed out 
If this schedule poses a hardship for you,  
Dec 19 Th 
Takehome Final Exam due 48 hrs
after you received it. 
you must notify me by Nov 7. 
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