Class schedule Physics 485/785 Fall 2008


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

Aug 26 Tu Introduction. Begin review of basics.
Vectors
1.1
LB Interlude I
Ch 1 P3, 6, 10, 11, 13 Sep 2
Aug 28 Th Scalar and Vector Fields.  1.2

Sep 2 Tu  Curvilinear coordinates  1.3

Sep 4 Th  More... 1.3-6 Ch1 p5, 21, 25c, 26a, 31b, 33 Sep 9
Sep 9 Tu Complex variables and their use in physics  2.1   
Sep 11 Th Complex functions. Branch cuts.
Calculus with complex variables. 
2.2 Ch 2 P2, 6, 8a, 11, 14,  16b Sep 16
Sep 16 Tu Integration- Cauchy Theorem.
Complex Series
2.2 , 2.3

Sep 18 Th Complex Series
 (9/23 last day to drop class)
 2.3  Ch2 P19, 21c, 22d,e, 23b (check errata for p19)
 Sep 23
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 Ch 2 P 24b,d, 25, 27a,c, 28a,b Sep 30

Sep 30 Tu Residue theorem- applications
2.6,7
 

Oct 2 Th  Residue theorem- more.
Conformal mapping.
2.8 Ch 2  p 30b, 35  Oct 7
Oct 7 Tu  The gamma function . Quick review of Differential eqns. 2.9 
Ch 3

 
Oct 9 Th Quick review of Differential eqns.
 - series soln.
Ch 3
Ch 2 p 31a, 32a,  39
Phys 485 only: 41a
 Oct 14
Oct 14 Tu  MID-TERM EXAM Ch 1-2

 
Oct 16 Th  More on DEs
Ch 3
 
 
Oct 21 Tu Fourier Series.  4.1-2 Ch 3 P 14, 16, 31  Oct 21
Oct 23 Th  Sine and cosine series.  Convergence.
Revised Example
4.3-5
Ch 3 p28 (Group project)  Start now!  Due Nov 13
Oct 28 Tu Laplace transforms.  5.1-5
Ch 4 P4, 6, 9,13
 Oct 28
Oct 30 Th Tricks for inversion, Convolution 5.6, 7
 
Nov 4 Tu The Mellin Inversion integral. Examples.  5.7 Ch 4 P18, 19,  23, Ch 5 P 1e, g
Phys 485 only: Ch5 1f
 Nov 4
Nov 6 Th  Delta functions  6.1,2,3
 
Nov 11 Tu  Veteran's Day.  No class.


 
Nov 13 Th More rigorous math on delta fns. Sequences and series
Distributions in N dimensions
6.4,5,6 Ch 5 P 5a, 6a, 8,12, 15(a or b)
Ch3 P 28
 Nov 13
Nov 18 Tu Fourier transforms.
7.1,2 Ch 6 P1b, 2, 5, 6b
 Nov 18
Nov 20 Th Examples. Power spectra
7.4,5,6

 
Nov 24-28
THANKSGIVING - NO CLASS
   
 Dec 2 Tu
Sine and Cosine transforms 7.7 Ch 6 P 18b, 20 Ch 7 P 1f, 6, 7
In P 7, plot versus w/w0 not w0T
 Dec 2
Dec 4 Th Sturm-Liouville Theory 8.1,2
 
Dec 9 Tu Spherical problems, Legendre functions 8.3 Ch 7 P 16a
Ch 8 P2(ii)
 Dec 9
Dec 11 Th Spherical Harmonics; Bessel functions  8.4 Ch 8 P 6  Dec11
Dec 16 Tu
FINAL EXAMINATION
HANDED OUT
  If this schedule poses a hardship for you, you  
Dec 18 Th
Take-home Final Exam due 48 hrs after you received it. 
In class exam 1:30-4 pm
  must notify me by Nov 13.   

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