



Due 


from
text 

Aug 27 Tu  Introduction. Begin review of
basics. Vectors 
1.1 LB Interlude I 
Ch 1 P3  Aug 29 

Aug 29 Th  Scalar and Vector Fields.  1.2  
Sep 3 Tu  Curvilinear coordinates  1.3  
Sep 5 Th  More on vectors and curvilinear coordinates  1.36, A1A3  Ch1 p24  Sep 5  
Sep 10 Tu  Complex variables and their use in physics  2.1 Circuit review 

Sep 12 Th  Complex functions. Branch cuts. Calculus with complex variables. 
2.2  Ch 2 P14 
Sep 12  
Sep 16 Mon  LAST DAY TO ADD/DROP CLASSES  
Sep 17 Tu  Integration Cauchy Theorem. Complex Series 
2.3  


Sep 19 Th  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 24 Tu  The Residue Theorem  2.7.1,2.7.2 

Sep 26 Th  Residue theorem applications  2.7.3,2.7.4  Ch 2 P 33  Sep 26 

Oct 1 Tu  Residue theorem applications 
2.7.3,4 


Oct 3 Th 
Conformal mapping. The gamma function 
2.8,9  Ch2 p31a  Oct 4  
Oct 8 Tu  Quick review of Differential eqns.  3.1,3.2,3.3.1  

Oct 10 Th  Diff eqns: series soln.  3.3 
Ch 2 p 39  Oct 10  
Oct 15 Tu  MIDTERM EXAM 
Ch 12 

Oct 17 Th  More on DEs, numerical methods  3.4, 3.5  Ch 3 P 24  Oct 17  
Oct 22 Tu  Fourier Series. Sine and cosine series.  3.5, 4.13  Ch 3 p28
(Group
project) Start now! 
Nov 12  
Oct 24 Th  Use of FS in physics.
Convergence. Revised Example 
4.45 
Ch 4 P8 Evaluate the first term analytically. You may use Mathematica to calculate the remaining terms.  Oct 24 

Oct 29 Tu  Laplace transforms.  5.14  
Oct 31 Th  Convolution; The Mellin Inversion integral.  5.5,6  Ch 4 P 18  Oct 31  
Nov 5 Tu  Examples in physics.  5.7  
Nov 7 Th  Delta functions  6.1,2  Ch 5 P16  Nov 7  
Nov 12 Tu  More rigorous math on delta fns. Sequences and series, 
6.3,4  
Nov 12  Ch3 P 28  Nov 12  
Nov 14 Th  Distributions in N dimensions  6.5,6 
Ch 6 P 5  Nov 14  
Nov 19 Tu  Fourier transforms  7.1,2,3 

Nov 21 Th  Use of FT in solving Diff eqns  7.4,5  Ch 6 P29  Nov 21  
THANKSGIVING BREAK NO CLASSES 

Dec 3 Tu 
Power spectra, Sine and Cosine transforms  7.6,7  

Dec 5 Th  SturmLiouville Theory  8.1,8.2,8.3.1  Ch 7 P 13  Dec 6  
Dec 10 Tu  Legendre functions, spherical harmonics  8.3  
Dec 12 Th  Bessel functions Last class 
8.4  Ch 8 P6 (Check the "errata")  Dec 13  
Dec 12 Th  Take home exam handed out  
Dec 16 Mon  3 pm Takehome Final Exam due  
Dec 19 Th 
FINAL EXAMINATION: In class exam 12:30 pm 2:30 pm 
If this schedule poses a hardship for you,  
you must notify me by Nov 8. 
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