



Due 


from
text 
Problems in bold
are for 785 students only 

Aug 24 Tu  Introduction. Begin review of
basics. Vectors 
1.1 LB Interlude I 
Ch 1 P3, 10, 11,
13, 18, 35 
Aug 31 

Aug 26 Th  Scalar and Vector Fields.  1.2  
Aug 31 Tu  Curvilinear coordinates  1.3  
Sep 2 Th  More on vectors and curvilinear coordinates  1.36  Ch1 p21, 24, 25c, 26a, 31b, 33  Sep 7  
Sep 7 Tu  Complex variables and their use
in physics LAST DAY TO DROP CLASSES 
2.1  
Sep 9 Th  Complex functions. Branch cuts. Calculus with complex variables. 
2.2  Ch 2 P2, 6, 8a, 11,
14 Circuit review 
Sep 14  
Sep 14 Tu  Integration Cauchy Theorem. Complex Series 
2.2 , 2.3  


Sep 16 Th  Complex Series Use of complex variables in fluid flow. 
2.3  Ch2 P16b, 19, 21d, 22c,e (check errata
for p19) 
Sep 21  
Sep 21 Tu  Poles and zeroes. LAST DAY TO ADD CLASSES 
2.4, 5 

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

Sep 28 Tu  Residue theorem applications 
2.6,7 


Sep 30 Th  Residue theorem more. Conformal mapping. 
2.8  Ch 2 p 27a,c, 29a,d, 30a  Oct 5  
Oct 5 Tu  The gamma function . Quick review of Differential eqns.  2.9 Ch 3 


Oct 7 Th  Quick review of Differential eqns.  series soln. 
Ch 3 
Ch 2 p 31a, 32a, 39 Phys 485 only: 41a 
Oct 12  
Oct 12 Tu  More on DEs, numerical methods  Ch 12 

Oct 14 Th  MIDTERM EXAM 
Ch 3 



Oct 19 Tu  Fourier Series. Sine and cosine series.  4.13  Ch 3 P 8a, 14, 31  Oct 19 

Oct 21 Th  Use of FS in physics.
Convergence. Revised Example 
4.45 
Ch 3 p28 (Group project) Start now!  Due Nov 9 

Oct 26 Tu  Laplace transforms.  5.15  Ch 4 P6, 10, 18  Oct 26 

Oct 28 Th  Tricks for inversion, Convolution  5.6, 7  
Nov 2 Tu  The Mellin Inversion integral. Examples.  5.7  Ch 4 P 19 Ch 5 P 1d, g, 5a Phys 485 only: Ch5 1f 
Nov 2 

Nov 4 Th  Delta functions  6.1,2,3  
Nov 9 Tu  More rigorous math on delta fns. 
6.3,4 
Ch
5 P 6b, 8, 12, 16 Ch3 P 28 
Nov 9 

Nov 11 Th  Veterans' Day. NO CLASS 


Nov 16 Tu  Sequences and series Distributions in N dimensions 
6.4,5,6 
Ch 6 P
1b, 2, 5, 6b. 
Nov 16  
Nov 18 Th  Fourier transforms. 
7.1,2,3 


THANKSGIVING BREAK NO CLASSES 

Nov 30 Tu 
Examples. Power spectra Sine and Cosine transforms 
7.4,5,6 7.7 
Ch 6 P 15c, 20
Ch 7 P 1e, 7 In P 7, plot versus w/w_{0} not wT 
Nov 30 

Dec 2 Th  SturmLiouville Theory  8.1,2  
Dec 7 Tu  Spherical problems, Legendre functions  8.3  

Dec 9 Th  Spherical Harmonics; Bessel
functions Last class 
8.4  Ch 7 P 12, 15 Ch 8 P2(ii), 15a 
Dec 9  
Dec 14 Tu 
FINAL EXAMINATION HANDED OUT 
If this schedule poses a hardship for you, you  
Dec 16 Th 
Takehome Final Exam due 48 hrs
after you received it. In class exam 1:304 pm 
must notify me by Nov 9. 
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