Class schedule Physics 485/785 Fall 2005

Date 
Topic 
Reading 
Problems
Due
       Problems in bold are for 785 students only
Aug 25 Th Introduction. Begin review of basics.
Vectors
1.1  Ch 1 P2, 7, 10, 11, 21 Sep 1
Aug 30 Tu Scalar and Vector Fields.  1.2

Sep1 Th   Curvilinear coordinates  1.3 Ch1 p6, 13, 25a, 26b, 27, 30b Sep 8
Sep 6 Tu  More... 1.3-6

Sep 8 Th Complex variables and their use in physics  2.1   
Sep 13 Tu Complex functions. Branch cuts.
Calculus with complex variables. 
2.2 Ch 2 P2, 6, 8b, 12, 14, 15 16a Sep 15
Sep 15 Th Integration- Cauchy Theorem.
Complex Series
2.2 , 2.3

Sep 20 Tu Complex Series
 2.3    
Sep 22 Th Use of complex variables in fluid flow.
Poles and zeroes.
2.4, 5
 Ch2 P19, 21d, 22b,e, 23c (check errata for p19)   Sep 22
Sep 27 Tu The Residue Theorem
2.6 ,7  
Sep 29 Th Residue theorem- applications
2.6,7
 Ch 2 P 24c,d, 26 (omit part a), 27b, 28a,c
Sep 29
Oct 4 Tu  Residue theorem- more. Conformal mapping.
2.8
 
Oct 6 Th  The gamma function   2.9 Ch 2 p29b, 30a, 31a, 32  Oct 6
Oct 11 Tu Quick review of Differential eqns.
 - series soln.
Ch 3
Ch 2 p39, 42
 Oct 13
Oct 13 Th  More on DEs  Ch 3

 
Oct 18 Tu  MID-TERM EXAM. Ch 1-2     
Oct 20 Th  Fourier Series.  4.1-2 Ch 3 P 6, 14, 27, 31  Oct 20
Oct 25 Tu   Sine and cosine series.  Convergence. 4.3-5

 
Oct 27 Th   Laplace transforms.  5.1-5 Ch 4 P3, 5, 6, 9, 16  Oct 27
Nov 1 Tu More tricks , Convolution 5.6 , 7
 
Nov 3 Th The Mellin Inversion integral. Examples.  5.7 Ch 4 P19, 22
 Ch 5 P 1c,g
 Nov 3
Nov 8 Tu  Delta functions  6.1
 
Nov 10 Th   More rigorous math on delta fns.  6.2,3 Ch 5 P 5a, 6b, 9, 12, 13


 Nov 10
Nov 15 Tu  Sequences and series
Distributions in N dimensions
6.4,5,6 Ch 5 P  17, 24
Ch 6 P1c, 2, 5, 6b, 11 
 Nov 17
Nov 17 Th Fourier transforms.
7.1,2,3    
Nov 20 Tu  Examples. Power spectra
7.4,5,6
Ch 6 P 19, 20, 27
Ch 7 P 1c, 2c
 Nov 29
Nov 24 Th   THANKSGIVING - NO CLASS
   
Nov 29 Tu  Sine and Cosine transforms 7.7 Ch 7 P  4, 6, 7, 11  Dec 1
Dec 1 Th  Sturm-Liouville Theory 8.1,2
 
Dec 6 Tu Spherical problems, Legendre function 8.3 Ch 7 18b, 21
Ch 8 P2(ii), 5, 6
 Dec 8
Dec 8 Th   Bessel functions  8.4
 
Dec 8 Th FINAL EXAMINATION
HANDED OUT in class
  If this schedule poses a hardship for you, you  
Dec 12 M Final Exam due noon    must notify me by Nov 20.   

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