Class schedule Physics 485/785 Fall 2006

Date 
Topic 
Reading 
Problems
Due
       Problems in bold are for 785 students only

Aug 29 Tu Introduction. Begin review of basics.
Vectors
1.1  Ch 1 P3, 9, 10, 11, 14 Sep 5
Aug 31 Th Scalar and Vector Fields.  1.2

Sep5 Tu   Curvilinear coordinates  1.3

Sep 7 Th  More... 1.3-6 Ch1 p5, 18, 21, 25c, 26a,  31b Sep 12
Sep 12 Tu Complex variables and their use in physics  2.1   
Sep 14 Th Complex functions. Branch cuts.
Calculus with complex variables. 
2.2 Ch 2 P2, 6, 8a, 11, 14, 15 16b Sep 19
Sep 19 Tu Integration- Cauchy Theorem.
Complex Series
2.2 , 2.3

Sep 21 Th Complex Series  (9/25 last day to drop)
 2.3  Ch2 P19, 21c, 22d,e, 23b (check errata for p19)
 Sep 26
Sep 26 Tu Use of complex variables in fluid flow.
Poles and zeroes.
2.4, 5

 
Sep 28 Th The Residue Theorem 2.6 ,7 Ch 2 P 24b,d, 26 (omit part a), 27a, 28a,b Oct 3
Oct 3 Tu Residue theorem- applications
2.6,7
 

Oct 5 Th  Residue theorem- more. Conformal mapping.
2.8 Ch 2  p 35  Oct 10
Oct 10 Tu  The gamma function   2.9
 
Oct 12 Th Quick review of Differential eqns.
 - series soln.
Ch 3
Ch 2 p30b, 31b, 32a, 39, 44  Oct 17
Oct 17 Tu  MID-TERM EXAM Ch 1-2

 
Oct 19 Th  .More on DEs
Ch 3
 
 
Oct 24 Tu  Fourier Series.  4.1-2 Ch 3 P 8a, 19
 Oct 24
Oct 26 Th   Sine and cosine series.  Convergence.
Revised Example
4.3-5

 
Oct 31 Tu  Laplace transforms.  5.1-5 Ch 3 p30, 31
Ch 4 P4, 6, 7
 Oct 31
Nov 2 Th More tricks , Convolution 5.6 , 7
 
Nov 7 Tu The Mellin Inversion integral. Examples.  5.7 Ch 4 P18, 19,  21, 23
 Ch 5 P 1d,g,
 Nov 7
Nov 9 Th  Delta functions  6.1
 
Nov 14 Tu   More rigorous math on delta fns.  6.2,3 Ch 5 P 5b, 6a, 14b, 16, 21  Nov 14
Nov 16 Th  Sequences and series
Distributions in N dimensions
6.4,5,6
 
Nov 20-24
 THANKSGIVING - NO CLASS
   
Nov 28 Tu Fourier transforms.
7.1,2, Ch 3 p 30, Ch 5 p 24
Ch 6 P1b, 2, 4, 5, 6b, 9
 Nov 28
 Nov 30 Th Examples. Power spectra
7.4,5,6

 
 Dec 5 Tu
Sine and Cosine transforms 7.7 Ch 6 P 18, 20
Ch 7 P 1e, 2a, 3, 7, 11
 Dec 5
Dec 7 Th Sturm-Liouville Theory 8.1,2
 
Dec 12 Tu Spherical problems, Legendre function 8.3 Ch 7 P 17a, 21
 Ch 8 P2(ii)
 Dec 12
Dec 14 Th  Spherical Harmonics; Bessel functions  8.4 Ch 8 P5, 6  Dec14
Dec 14 Th FINAL EXAMINATION
HANDED OUT in class
  If this schedule poses a hardship for you, you  
Dec 18 M
Final Exam due noon    must notify me by Nov 16.   

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