



Due 


from
text 

Aug 24 Th  Introduction. Begin review of
basics. Vectors 
1.1 LB Interlude I 
Ch 1 P21  Aug 29 

Aug 29 Tu  Scalar and Vector Fields.  1.2  
Aug 31 Th  Curvilinear coordinates  1.3  
Sep 5 Tu  More on vectors and curvilinear coordinates  1.36, A1A3  Ch1 p30b  Sep 5  
Sep 7 Th  Complex variables and their use in physics  2.1 Circuit review 

Sep 12 Tu  Complex functions. Branch cuts. Calculus with complex variables. 
2.2  Ch 2 P6 
Sep 12  
Sep 13 Wed  LAST DAY TO ADD/DROP CLASSES  
Sep 14 Th  Integration Cauchy Theorem. Complex Series 
2.3  


Sep 19 Tu  Laplace's eqn Use of complex variables in fluid flow. Poles and zeroes. Residues 
2.4,2.5,2.6  Ch2 P
19 (check errata for p19) 
Sep 19  
Sep 21 Th  The Residue Theorem  2.7.1,2.7.2 

Sep 26 Tu  Residue theorem applications  2.7.3,2.7.4  Ch 2 P 13 plus addendum  Sep 26 

Sep 28 Th  Residue theorem applications 
2.7.3,4 


Oct 3 Tu 
Conformal mapping. The gamma function 
2.8,9  Ch2 p 36  Oct 3  
Oct 5 Th  Quick review of Differential eqns.  3.1,3.2,3.3.1  

Oct 10 Tu  Diff eqns: series soln.  3.3 
Ch 2 p 38  Oct 10  
Oct 12 Th  MIDTERM EXAM 
Ch 12 

Oct 17 Tu  More on DEs, numerical methods  3.4, 3.5  Ch 3 P 25  Oct 17  
Oct 19 Th  Fourier Series. Sine and cosine series.  3.5, 4.13  Ch 3 p28
(Group
project) Start now! 
Nov 16  
Oct 24 Tu  Use of FS in physics.
Convergence. Revised Example 
4.45 
Ch 4 P9  Oct 24 

Oct 27 Th  Laplace transforms.  5.14  
Oct 31 Tu  Convolution; The Mellin Inversion integral.  5.5,6  Ch 4 P 12  Oct 31  
Nov 2 Th  Examples in physics.  5.7  
Nov 7 Tu  Delta functions  6.1,2  Ch 5 P16  Nov 7  
Nov 9 Th  More rigorous math on delta fns. Sequences and series, 
6.3,4  
Nov 14 Tu  Distributions in N dimensions  6.5,6 
Ch 6 P 3a  Nov 14 

Nov 16 Th  Fourier transforms  7.1,2,3 
Ch3 P 28  Nov 16  
THANKSGIVING BREAK NO CLASSES 

Nov 28 Tu  Use of FT in solving Diff eqns  7.4,5  Ch 6 P18  Nov 28  
Nov 30 Th 
Power spectra, Sine and Cosine transforms  7.6,7  

Dec 5 Tu  SturmLiouville Theory  8.1,2  Ch 7 P 13  Dec 5  
Dec 7 Th  Spherical problems, Legendre functions  8.3  

Dec 12 Tu  Bessel
functions Last class 
8.4  Ch 8 P6  Dec 12  
Dec 14 Th  Take home exam handed out  
Dec 18 Mon  Noon: Takehome Final Exam due  
Dec 19 Tu 
FINAL EXAMINATION: In class exam 10:45 am 1:15 pm 
If this schedule poses a hardship for you,  
you must notify me by Nov 7. 
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