



Due 


from
text 

Aug 25 Th  Introduction. Begin review of
basics. Vectors 
1.1 LB Interlude I 
Ch 1 P21  Aug 30 

Aug 30 Tu  Scalar and Vector Fields.  1.2  
Sep 1 Th  Curvilinear coordinates  1.3  
Sep 6 Tu  More on vectors and curvilinear coordinates  1.36, A1A3  Ch1 p31b,  Sep 6  
Sep 8 Th  Complex variables and their use in physics  2.1 Circuit review 

Sep 13 Tu  Complex functions. Branch cuts. Calculus with complex variables. 
2.2  Ch 2 P6 
Sep 13  
Sep 14 Wed  LAST DAY TO ADD/DROP CLASSES  
Sep 15 Th  Integration Cauchy Theorem. Complex Series 
2.3  


Sep 20 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 20  
Sep 22 Th  The Residue Theorem  2.7.1,2.7.2 

Sep 27 Tu  Residue theorem applications  2.7.3,2.7.4  Ch 2 P 25  Sep 27 

Sep 29 Th  Residue theorem applications 
2.7.3,4 


Oct 4 Tu 
Conformal mapping. The gamma function 
2.8,9  Ch2 p 35  Oct 4  
Oct 6 Th  Quick review of Differential eqns.  3.1,3.2,3.3.1  

Oct 11 Tu  Diff eqns: series soln.  3.3 
Ch 2 p 39  Oct 11  
Oct 13 Th  MIDTERM EXAM 
Ch 12 

Oct 18 Tu  More on DEs, numerical methods  3.4, 3.5  Ch 3 P 26  Oct 18  
Oct 20 Th  Fourier Series. Sine and cosine series.  3.5, 4.13  Ch 3 p28
(Group
project) Start now! 
Nov 17  
Oct 25 Tu  Use of FS in physics.
Convergence. Revised Example 
4.45 
Ch 4 P9  Oct 25 

Oct 27 Th  Laplace transforms.  5.14  
Nov 1 Tu  Convolution; The Mellin Inversion integral.  5.5,6  Ch 4 P 18  Nov 1  
Nov 3 Th  Examples in physics.  5.7  
Nov 8 Tu  Delta functions  6.1,2  Ch 5 P19  Nov 8  
Nov 10 Th  More rigorous math on delta fns. Sequences and series, 
6.3,4  
Nov 15 Tu  Distributions in N dimensions  6.5,6 
Ch 6 P 2  Nov 15 

Nov 17 Th  Fourier transforms  7.1,2,3 
Ch3 P 28  Nov 17  
THANKSGIVING BREAK NO CLASSES 

Nov 29 Tu  Use of FT in solving Diff eqns  7.4,5  Ch6 P16  Nov 29  
Dec 1 Th 
Power spectra, Sine and Cosine transforms  7.6,7  

Dec 6 Tu  SturmLiouville Theory  8.1,2  Ch 7 P 12  Dec 6  
Dec 8 Th  Spherical problems, Legendre functions  8.3  

Dec 13 Tu  Bessel
functions Last class 
8.4  Ch8 P13  Dec 13  
Dec 15 Th  Take home exam handed out  
Dec 19 Mon  10 am Takehome Final Exam due  
Dec 20 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 8. 
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