Class schedule Physics 485/785 Fall 2003

Date 
Topic 
Reading 
Problems
Due
       Problems in bold are for 785 students only
Aug 28 Th Introduction. Begin review of basics.
Vectors
1.1  Ch 1 P1,3,5,7,10,11,21 Sep 4
Sep 2 Tu Scalar and Vector Fields.  1.2

Sep 4 Th   Curvilinear coordinates  1.3 Ch1 p24,25c,26b,27, 30a Sep 11
Sep 9 Tu  More... 1.3-6

Sep 11 Th Complex variables and their use in physics  2.1   
Sep 16 Tu Complex functions. Branch cuts.
Calculus with complex variables. 
2.2 Ch 2 P2,6,7a,10,11,14,16b Sep 18
Sep 18 Th Integration- Cauchy Theorem.
Complex Series
2.2 , 2.3

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
 Ch2 P19, 21c, 22d, 23b, 24b,d, 26a&c, .  Sep 25
Sep 30 Tu Residue Theorem

 
Oct 2 Th Residue theorem- applications

 Ch 2 P 27a 28b, 29a, 30c Oct 2 
Oct 7 Tu  Residue theorem- more. Conformal mapping.
2.8
 
Oct 9 Th  MID-TERM EXAM.
Ch 1-2 Ch 2 p 31a, 33  Oct 9
Oct 14 Tu The gamma function  Ch 2.9 Ch 2 p38
 Oct 16
Oct 16 Th  Quick review of Differential eqns.
 - series soln.
Ch 3 4.1-4.2
 
Oct 21 Tu  More on DEs  4.3, 4  Ch 3 P 8a, 21, 29, 31   Oct 23
Oct 23 Th  Fourier Series.  4.5
 
Oct 28 Tu   Sine and cosine series.  Convergence. 5.1,2,3
 
Oct 30 Th   Laplace transforms.  5.4,5 Ch 4 P3, 5, 6, 9, 11  Oct 30
Nov 4 Tu More tricks , Convolution 5.6 , 7
 
Nov 6 Th The Mellin Inversion integral. Examples.  5.7 Ch 4 P14, 18, 19
 Ch 5 P 1a,e 2,4
 Nov 6
Nov 11 Tu  Delta functions  6.1
 
Nov 13 Th   More rigorous math on delta fns.  6.2,3 Ch 5 P 5a, 6a, 8, 12, 14b, 19

 Nov 13
Nov 18 Tu  Sequences and series
Distributions in N dimensions
6.4,5,6 Ch 5 P  21, 24
Ch 6 P1b, 2, 3b, 5, 6b, 11
 Nov 20
Nov 20 Th Fourier transforms.
7.1,2,3    
Nov 25 Tu  Examples. Power spectra
7.4,5,6
Ch 6 P 18, 20, 28
Ch 7 P 1e,f
 Nov 25
Nov 27 Th   THANKSGIVING - NO CLASS
   
Dec 2 Tu  Sine and Cosine transforms 7.7 Ch 7 P 2a, 4, 7, 11, 15  Dec 4
Dec 4 Th  Sturm-Liouville Theory 8.1,2
 
Dec 9 Tu Spherical problems, Legendre function 8.3 Ch 7 18, 21
Ch 8 P2(i), 4, 6
 Dec 11
Dec 11 Th   Bessel functions  8.4
 
Dec 11 Th FINAL EXAMINATION
HANDED OUT in class
  If this schedule poses a hardship for you, you  
Dec 15 M Final Exam due noon    must notify me by Nov 27.   

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