



Due 

Problems in bold
are for 785 students only 

Aug 29 Tu  Introduction. Begin review of
basics. Vectors 
1.1  Ch 1 P3, 9, 10, 11, 14  Sep 5 

Aug 31 Th  Scalar and Vector Fields.  1.2  
Sep5 Tu  Curvilinear coordinates  1.3  
Sep 7 Th  More...  1.36  Ch1 p5, 18, 21, 25c, 26a, 31b  Sep 12  
Sep 12 Tu  Complex variables and their use in physics  2.1  
Sep 14 Th  Complex functions. Branch cuts. Calculus with complex variables. 
2.2  Ch 2 P2, 6, 8a, 11, 14, 15 16b  Sep 19 

Sep 19 Tu  Integration Cauchy Theorem. Complex Series 
2.2 , 2.3  
Sep 21 Th  Complex Series (9/25 last
day to drop) 
2.3  Ch2 P19, 21c, 22d,e, 23b (check errata
for p19) 
Sep 26  
Sep 26 Tu  Use of complex variables in fluid
flow. Poles and zeroes. 
2.4, 5 

Sep 28 Th  The Residue Theorem  2.6 ,7  Ch 2 P 24b,d, 26 (omit part a), 27a, 28a,b  Oct 3  
Oct 3 Tu  Residue theorem applications 
2.6,7 


Oct 5 Th  Residue theorem more. Conformal
mapping. 
2.8  Ch 2 p 35  Oct 10  
Oct 10 Tu  The gamma function  2.9  

Oct 12 Th  Quick review of Differential eqns.  series soln. 
Ch 3 
Ch 2 p30b, 31b, 32a, 39, 44  Oct 17  
Oct 17 Tu  MIDTERM EXAM  Ch 12 

Oct 19 Th  .More on DEs 
Ch 3 



Oct 24 Tu  Fourier Series.  4.12  Ch
3 P 8a, 19 
Oct 24 

Oct 26 Th  Sine and cosine
series.
Convergence. Revised Example 
4.35 

Oct 31 Tu  Laplace transforms.  5.15  Ch 3 p30, 31 Ch 4 P4, 6, 7 
Oct 31 

Nov 2 Th  More tricks , Convolution  5.6 , 7  
Nov 7 Tu  The Mellin Inversion integral. Examples.  5.7  Ch 4 P18, 19, 21, 23 Ch 5 P 1d,g, 
Nov 7 

Nov 9 Th  Delta functions  6.1  
Nov 14 Tu  More rigorous math on delta fns.  6.2,3  Ch 5 P 5b, 6a, 14b, 16, 21  Nov 14 

Nov 16 Th  Sequences and series Distributions in N dimensions 
6.4,5,6  

Nov 2024 
THANKSGIVING  NO CLASS  
Nov 28 Tu  Fourier transforms. 
7.1,2,  Ch 3 p 30, Ch 5 p 24 Ch 6 P1b, 2, 4, 5, 6b, 9 
Nov 28  
Nov 30 Th  Examples. Power spectra 
7.4,5,6 


Dec 5 Tu 
Sine and Cosine transforms  7.7  Ch 6 P 18, 20 Ch 7 P 1e, 2a, 3, 7, 11 
Dec 5 

Dec 7 Th  SturmLiouville Theory  8.1,2  
Dec 12 Tu  Spherical problems, Legendre function  8.3  Ch 7 P 17a, 21 Ch 8 P2(ii) 
Dec 12 

Dec 14 Th  Spherical Harmonics; Bessel functions  8.4  Ch 8 P5, 6  Dec14  
Dec 14 Th  FINAL EXAMINATION HANDED OUT in class 
If this schedule poses a hardship for you, you  
Dec 18 M 
Final Exam due noon  must notify me by Nov 16. 
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