Class schedule Physics 485/785 Fall 2004

Date 
Topic 
Reading 
Problems
Due
       Problems in bold are for 785 students only
Aug 26 Th Introduction. Begin review of basics.
Vectors
1.1  Ch 1 P3, 9, 10, 11, 21 Sep 2
Aug 31 Tu Scalar and Vector Fields.  1.2

Sep 2 Th   Curvilinear coordinates  1.3 Ch1 p5, 24, 25b, 26a, 27, 31b Sep 9
Sep 7 Tu  More... 1.3-6

Sep 9 Th Complex variables and their use in physics  2.1   
Sep 14 Tu Complex functions. Branch cuts.
Calculus with complex variables. 
2.2 Ch 2 P2,6,7a,10,11,14,16b Sep 16
Sep 16 Th Integration- Cauchy Theorem.
Complex Series
2.2 , 2.3

Sep 21 Tu Complex Series
 2.3    
Sep 23 Th Use of complex variables in fluid flow.
Poles and zeroes.
2.4, 5
 Ch2 P19, 21c, 22d, 23b   Sep 23
Sep 28 Tu The Residue Theorem
2.6 ,7  
Sep 30 Th Residue theorem- applications
2.6,7
 Ch 2 P 24b,d, 26 (omit part b), 27a, 28b
Sep 30
Oct 5 Tu  Residue theorem- more. Conformal mapping.
2.8
 
Oct 7 Th  The gamma function   2.9 Ch 2 p29a, 30c, 31a, 33  Oct 7
Oct 12 Tu Quick review of Differential eqns.
 - series soln.
Ch 3
Ch 2 p38
 Oct 14
Oct 14 Th  More on DEs  Ch 3

 
Oct 19 Tu  MID-TERM EXAM. Ch 1-2     
Oct 21 Th  Fourier Series.  4.1-2 Ch 3 P 8a, 21, 29, 31  Oct 21
Oct 26 Tu   Sine and cosine series.  Convergence. 4.3-5

 
Oct 28 Th   Laplace transforms.  5.1-5 Ch 4 P3, 5, 6, 9, 11  Oct 28
Nov 2 Tu More tricks , Convolution 5.6 , 7
 
Nov 4 Th The Mellin Inversion integral. Examples.  5.7 Ch 4 P14, 18, 19
 Ch 5 P 1a,e 2,4
 Nov 4
Nov 9 Tu  Delta functions  6.1
 
Nov 11 Th   More rigorous math on delta fns.  6.2,3 Ch 5 P 5a, 6a, 8, 12, 14b, 19

 Nov 11
Nov 16 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 18
Nov 18 Th Fourier transforms.
7.1,2,3    
Nov 23 Tu  Examples. Power spectra
7.4,5,6
Ch 6 P 18, 20, 28
Ch 7 P 1e,f
 Nov 30
Nov 25 Th   THANKSGIVING - NO CLASS
   
Nov 30 Tu  Sine and Cosine transforms 7.7 Ch 7 P 2a, 4, 7, 11, 15  Dec 2
Dec 2 Th  Sturm-Liouville Theory 8.1,2
 
Dec 7 Tu Spherical problems, Legendre function 8.3 Ch 7 18, 21
Ch 8 P2(i), 4, 6
 Dec 9
Dec 9 Th   Bessel functions  8.4
 
Dec 9 Th FINAL EXAMINATION
HANDED OUT in class
  If this schedule poses a hardship for you, you  
Dec 13 M Final Exam due noon    must notify me by Nov 23.   

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