Class schedule Physics 785 Fall 2012


Date 
Topic 
Reading 
Problems
Due
   
 from text

Aug 28 Tu Introduction. Begin review of basics.
Vectors
1.1
LB Interlude I
Ch 1 P3,9,10,11,13,24 Sep 4
Aug 30 Th Scalar and Vector Fields.  1.2

Sep 4 Tu  Curvilinear coordinates  1.3

Sep 6 Th  More on vectors and curvilinear coordinates 1.3-6 Ch1 p5,21,22,25c,26a,27,31b Sep 11
Sep 11 Tu Complex variables and their use in physics
LAST DAY TO DROP CLASSES
 2.1   
Sep 13 Th Complex functions. Branch cuts.
Calculus with complex variables.
2.2 Ch 2 P2,4,6,10,12,14 
Circuit review
Sep 18
Sep 18 Tu Integration- Cauchy Theorem.
Complex Series
2.2 , 2.3

Sep 20 Th Complex Series
Use of complex variables in fluid flow.
 2.3  Ch2 P16b,18,19,21d,22d,e <(check errata for p19)
 Sep 25
Sep 25 Tu Poles and zeroes.
LAST DAY TO ADD CLASSES
2.4, 5

 
Sep 27 Th The Residue Theorem 2.6 ,7 Ch 2 P23b,24d,25,28a,c Oct 2

Oct 2 Tu Residue theorem- applications
2.6,7
 

Oct 4 Th  Residue theorem- more.
Conformal mapping.
2.8 Ch 2  p27a,b,30b,35  Oct 9
Oct 9 Tu  The gamma function . Quick review of Differential eqns. 2.9 
Ch 3

 
Oct 11 Th Quick review of Differential eqns.
 - series soln.
Ch 3
Ch 2 p31a,32a,39  Oct 16
Oct 16 Tu  More on DEs, numerical methods Ch 1-2

 
Oct 18 Th  MID-TERM EXAM
Ch 3
 
 
Oct 23 Tu Fourier Series. Sine and cosine series. 4.1-3 Ch 3 P6,17,21*,31
*See Phys Rev 28, pg 695, 1926
 Oct 23
Oct 25 Th  Use of FS in physics.  Convergence.
Revised Example
4.4-5
Ch 3 p28 (Group project)  Start now!  Due Nov 15
Oct 30 Tu Laplace transforms.  5.1-5 Ch 4 P5,6,9,16  Oct 30
Nov 1 Th Tricks for inversion, Convolution 5.6, 7
 
Nov 6 Tu The Mellin Inversion integral. Examples.  5.7 Ch 4 P19 Ch 5 P1e,2,5a
 Nov 6
Nov 8 Th  Delta functions  6.1,2,3
 
Nov 13 Tu  More rigorous math on delta fns.
6.3,4
Ch5 P6c,8,12,14b,17  Nov 13
Nov 15 Th Sequences and series
Distributions in N dimensions
Ch3 P 28
 Nov 15
Nov 19-23
THANKSGIVING BREAK- NO CLASSES

   
Nov 27 Tu Fourier transforms
6.4,5,6
Ch 6 P1c,2,5,6b.  Nov 27
Nov 29 Th Examples. Use of FT in solving PDEs. 7.1,2,3


 
Dec 4 Tu
Power spectra
Sine and Cosine transforms
7.4,5,6
7.7
Ch 6 P14,15,20 Ch 7 P1e,2a,7
In P 7, plot versus w/w0 not wT
 Dec 4
Dec 6 Th Sturm-Liouville Theory 8.1,2
 
Dec 11 Tu Spherical problems, Legendre functions 8.3
 
Dec 13 Th Spherical Harmonics; Bessel functions
Last class
 8.4 Ch 7 P12,17a,24
Ch 8 P2(ii),8
 Dec 13
Dec 17 Mon
Take home exam handed out
Dec 18 Tu
FINAL EXAMINATION: In class exam 10:45 am -1:15 pm   If this schedule poses a hardship for you, you  
Dec 20 Th
Take-home Final Exam due 72 hrs after you received it. 
  must notify me by Nov 6.   

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