



Due 

Problems in bold are for 785 students only  
Aug 26 Th  Introduction. Begin review of
basics. Vectors 
1.1  Ch 1 P3, 9, 10, 11, 21  Sep 2 

Aug 31 Tu  Scalar and Vector Fields.  1.2  
Sep 2 Th  Curvilinear coordinates  1.3  Ch1 p5, 24, 25b, 26a, 27, 31b  Sep 9 

Sep 7 Tu  More...  1.36  
Sep 9 Th  Complex variables and their use in physics  2.1  
Sep 14 Tu  Complex functions. Branch cuts. Calculus with complex variables. 
2.2  Ch 2 P2,6,7a,10,11,14,16b  Sep 16 

Sep 16 Th  Integration Cauchy Theorem. Complex Series 
2.2 , 2.3  
Sep 21 Tu  Complex Series 
2.3  
Sep 23 Th  Use of complex variables in fluid
flow. Poles and zeroes. 
2.4, 5 
Ch2 P19, 21c, 22d, 23b  Sep 23  
Sep 28 Tu  The Residue Theorem 
2.6 ,7  
Sep 30 Th  Residue theorem applications 
2.6,7 
Ch 2 P 24b,d, 26 (omit part b), 27a, 28b 
Sep 30 

Oct 5 Tu  Residue theorem more. Conformal
mapping. 
2.8  
Oct 7 Th  The gamma function  2.9  Ch 2 p29a, 30c, 31a, 33  Oct 7 

Oct 12 Tu  Quick review of Differential eqns.  series soln. 
Ch 3 
Ch 2 p38 
Oct 14  
Oct 14 Th  More on DEs  Ch 3 

Oct 19 Tu  MIDTERM EXAM.  Ch 12  

Oct 21 Th  Fourier Series.  4.12  Ch 3 P 8a, 21, 29, 31  Oct 21  
Oct 26 Tu  Sine and cosine series. Convergence.  4.35 

Oct 28 Th  Laplace transforms.  5.15  Ch 4 P3, 5, 6, 9, 11  Oct 28  
Nov 2 Tu  More tricks , Convolution  5.6 , 7  
Nov 4 Th  The Mellin Inversion integral. Examples.  5.7  Ch 4 P14, 18, 19 Ch 5 P 1a,e 2,4 
Nov 4  
Nov 9 Tu  Delta functions  6.1  
Nov 11 Th  More rigorous math on delta fns.  6.2,3  Ch 5 P 5a, 6a, 8, 12, 14b, 19 
Nov 11  
Nov 16 Tu  Sequences and series Distributions in N dimensions 
6.4,5,6  Ch 5 P 21, 24 Ch 6 P1b, 2, 3b, 5, 6b, 11 
Nov 18 

Nov 18 Th  Fourier transforms. 
7.1,2,3  
Nov 23 Tu  Examples. Power spectra 
7.4,5,6 
Ch 6 P 18, 20, 28 Ch 7 P 1e,f 
Nov
30 

Nov 25 Th  THANKSGIVING  NO CLASS  
Nov 30 Tu  Sine and Cosine transforms  7.7  Ch 7 P 2a, 4, 7, 11, 15  Dec 2 

Dec 2 Th  SturmLiouville Theory  8.1,2  
Dec 7 Tu  Spherical problems, Legendre function  8.3  Ch 7 18, 21 Ch 8 P2(i), 4, 6 
Dec 9 

Dec 9 Th  Bessel functions  8.4  
Dec 9 Th  FINAL EXAMINATION HANDED OUT in class 
If this schedule poses a hardship for you, you  
Dec 13 M  Final Exam due noon  must notify me by Nov 23. 
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