



Due 

from
text 
Problems in bold
are for 785 students only 

Aug 26 Tu  Introduction. Begin review of
basics. Vectors 
1.1 LB Interlude I 
Ch 1 P3, 6, 10, 11, 13  Sep 2 

Aug 28 Th  Scalar and Vector Fields.  1.2  
Sep 2 Tu  Curvilinear coordinates  1.3  
Sep 4 Th  More...  1.36  Ch1 p5, 21, 25c, 26a, 31b, 33  Sep 9  
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 2 P2, 6, 8a, 11, 14, 16b  Sep 16  
Sep 16 Tu  Integration Cauchy Theorem. Complex Series 
2.2 , 2.3  


Sep 18 Th  Complex Series (9/23 last day to drop class) 
2.3  Ch2 P19, 21c, 22d,e, 23b (check errata
for p19) 
Sep 23  
Sep 23 Tu  Use of complex variables in fluid
flow. Poles and zeroes. 
2.4, 5 

Sep 25 Th  The Residue Theorem  2.6 ,7  Ch 2 P 24b,d, 25, 27a,c, 28a,b  Sep 30 

Sep 30 Tu  Residue theorem applications 
2.6,7 


Oct 2 Th  Residue theorem more. Conformal mapping. 
2.8  Ch 2 p 30b, 35  Oct 7  
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 Phys 485 only: 41a 
Oct 14  
Oct 14 Tu  MIDTERM EXAM  Ch 12 

Oct 16 Th  More on DEs 
Ch 3 



Oct 21 Tu  Fourier Series.  4.12  Ch 3 P 14, 16, 31  Oct 21 

Oct 23 Th  Sine and cosine
series.
Convergence. Revised Example 
4.35 
Ch 3 p28 (Group project) Start now!  Due Nov 13 

Oct 28 Tu  Laplace transforms.  5.15  Ch 4 P4, 6, 9,13 
Oct 28 

Oct 30 Th  Tricks for inversion, Convolution  5.6, 7  
Nov 4 Tu  The Mellin Inversion integral. Examples.  5.7  Ch 4 P18, 19, 23, Ch 5 P 1e, g Phys 485 only: Ch5 1f 
Nov 4 

Nov 6 Th  Delta functions  6.1,2,3  
Nov 11 Tu  Veteran's Day. No
class. 


Nov 13 Th  More rigorous math on delta
fns. Sequences and series Distributions in N dimensions 
6.4,5,6  Ch 5 P 5a, 6a, 8,12, 15(a or b) Ch3 P 28 
Nov 13  
Nov 18 Tu  Fourier transforms. 
7.1,2  Ch 6 P1b, 2, 5, 6b 
Nov 18  
Nov 20 Th  Examples. Power spectra 
7.4,5,6 


Nov 2428 
THANKSGIVING  NO CLASS  
Dec 2 Tu 
Sine and Cosine transforms  7.7  Ch 6 P 18b, 20
Ch 7 P 1f, 6, 7 In P 7, plot versus w/w_{0} not w_{0}T 
Dec 2 

Dec 4 Th  SturmLiouville Theory  8.1,2  
Dec 9 Tu  Spherical problems, Legendre functions  8.3  Ch 7 P 16a Ch 8 P2(ii) 
Dec 9 

Dec 11 Th  Spherical Harmonics; Bessel functions  8.4  Ch 8 P 6  Dec11  
Dec 16 Tu 
FINAL EXAMINATION HANDED OUT 
If this schedule poses a hardship for you, you  
Dec 18 Th 
Takehome Final Exam due 48 hrs
after you
received it. In class exam 1:304 pm 
must notify me by Nov 13. 
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