



Due 


from
text 

Aug 26 Tu  Introduction. Begin review of
basics. Vectors 
1.1 LB Interlude I 
Ch 1 P3, 7, 10  Aug 28 

Aug 28 Th  Scalar and Vector Fields.  1.2  
Sep 2 Tu  Curvilinear coordinates  1.3  
Sep 4 Th  More on vectors and curvilinear coordinates  1.36  Ch1 p6, 11, 15, 21, 25c,  Sep 4  
Sep 8 Mon  LAST DAY TO DROP CLASSES  
Sep 9 Tu  Complex variables and their use in physics  2.1  
Sep 11 Th  Complex functions. Branch cuts. Calculus with complex variables. 
2.2  Ch 1 P 31b Ch 2 P2, 6, 8a, 12, 14 Circuit review 
Sep 11  
Sep 16 Tu  Integration Cauchy Theorem. Complex Series 
2.2 , 2.3  


Sep 18 Th  Complex Series Use of complex variables in fluid flow. 
2.3  Ch2 P15, 16b,
19, 22d,e (check errata for p19) 
Sep 18  
Sep 22 Mon  LAST DAY TO ADD CLASSES  
Sep 23 Tu  Poles and zeroes.  2.4, 5 

Sep 25 Th  The Residue Theorem  2.6,7  Ch 2 P 23d, 24b,c,d, 28c  Sep 25 

Sep 30 Tu  Residue theorem applications 
2.6,7 


Oct 2 Th  Residue theorem more. Conformal mapping. 
2.8  Ch2 p 27b,c, 30b, 35  Oct 3  
Oct 7 Tu  The gamma function . Quick review of Differential eqns.  2.9 Ch 3 


Oct 9 Th  Quick review of Differential eqns.  series soln. 
Ch 3 
Ch 2 p 31a 32a,39  Oct 9  
Oct 14 Tu  MIDTERM EXAM 
Ch 12 

Oct 16 Th  More on DEs, numerical methods  Ch 3 
Ch 3 P 8a  Oct 16  
Oct 21 Tu  Fourier Series. Sine and cosine series.  4.13  Ch 3 p28
(Group
project) Start now! 
Nov 4 

Oct 23 Th  Use of FS in physics.
Convergence. Revised Example 
4.45 
Ch3 P31, Ch 4 P6, 9  Oct 23 

Oct 28 Tu  Laplace transforms.  5.15  
Oct 30 Th  Tricks for inversion, Convolution  5.6, 7  Ch 4 P 11, 18 Ch 5 P 1e  Oct 30  
Nov 4 Tu  The Mellin Inversion integral. Examples.  5.7  Ch3 P 28  Nov 4  
Nov 6 Th  Delta functions  6.1,2  Ch 5 P5a, 6b, 12, 17
 Nov 6  
Nov 11 Tu  Veteran's day. No classes.  
Nov 13 Th  More rigorous math on delta fns. Sequences and series 
6.3,4 
Ch5 P21 Ch 6 P 2, 3b, 6b, 
Nov 13 

Nov 18 Tu 
Distributions in N dimensions

6.5,6 

Nov 20 Th  Fourier transforms  7.1,2  Ch6 P4, 18b, 20,  Nov 20  
THANKSGIVING BREAK NO CLASSES 

Dec 2 Tu 
Use of FT in solving PDEs. Power spectra 
7.3,4,5  

Dec 4 Th  Sine and Cosine transforms  7.6,7  Ch 7 P1f, 7, 11, 29 In P 7, plot versus w/w_{0} not wT 
Dec 4  
Dec 9 Tu  SturmLiouville Theory Spherical problems, Legendre functions 
8.1,2,3  

Dec 11 Th  Spherical Harmonics; Bessel
functions Last class 
8.4  Ch 8 P2(iii), 5 In 8.2(iii) take aL/2 = b and beta = 3 alpha L 
Dec 11  
Dec 16 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 18 Th 
Takehome Final Exam due 48 hrs
after you received it. 
you must notify me by Nov 6. 
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