Class schedule Physics 785 Fall 2013


Date 
Topic 
Reading 
Problems
Due
   
 from text

Aug 27 Tu Introduction. Begin review of basics.
Vectors
1.1
LB Interlude I
Ch 1 P2, 8, 10 Aug 29
Aug 29 Th Scalar and Vector Fields.  1.2

Sep 3 Tu  Curvilinear coordinates  1.3

Sep 5 Th  More on vectors and curvilinear coordinates 1.3-6 Ch1 p11, 14, 21, 24, 25a, Sep 5
Sep 9 Mon LAST DAY TO DROP CLASSES
Sep 10 Tu Complex variables and their use in physics  2.1   
Sep 12 Th Complex functions. Branch cuts.
Calculus with complex variables.
2.2 Ch 1 P 30b
Ch 2 P2, 6, 8b, 11, 14 
Circuit review
Sep 12
Sep 17 Tu Integration- Cauchy Theorem.
Complex Series
2.2 , 2.3

Sep 19 Th Complex Series
Use of complex variables in fluid flow.
 2.3  Ch2 P16a 19, 21c, 22b,e(check errata for p19)
 Sep 19
Sep 23 Mon LAST DAY TO ADD CLASSES
Sep 24 Tu Poles and zeroes. 2.4, 5

 
Sep 26 Th The Residue Theorem 2.6 ,7 Ch 2 P 23d, 24c,d, 28b Sep 26

Oct 1 Tu Residue theorem- applications
2.6,7
 

Oct 3 Th  Residue theorem- more.
Conformal mapping.
2.8 Ch2 p 27b,c, 29d 30a  Oct 3
Oct 8 Tu  The gamma function . Quick review of Differential eqns. 2.9 
Ch 3

 
Oct 10 Th Quick review of Differential eqns.
 - series soln.
Ch 3
Ch 2 p 31b 32b,38  Oct 10
Oct 15 Tu  MID-TERM EXAM
Ch 1-2

 
Oct 17 Th  More on DEs, numerical methods Ch 3
Ch 3 P 4, 14  Oct 17
Oct 22 Tu Fourier Series. Sine and cosine series. 4.1-3Ch 3 p28 (Group project) 
Start now!
 Nov 7
Oct 24 Th  Use of FS in physics.  Convergence.
Revised Example
4.4-5
Ch3 P31, Ch 4 P7, 9  Oct 24
Oct 29 Tu Laplace transforms.  5.1-5
Oct 31 Th Tricks for inversion, Convolution 5.6, 7 Ch 4 P 14, 19 Ch 5 P 1c,f  Oct 31
Nov 5 Tu The Mellin Inversion integral. Examples. 5.7
Nov 7 Th  Delta functions  6.1,2,3 Ch 5 P5b, 7, 16
Ch3 P 28
 Nov 7
Nov 12 Tu  More rigorous math on delta fns.
6.3,4
Nov 14 Th Sequences and series
Distributions in N dimensions

Ch5 P21 Ch 6 P 2,3b,5, 6a,
 Nov 14
Nov 19 Tu Fourier transforms
6.4,5,6
Nov 21 Th Examples. Use of FT in solving PDEs. 7.1,2,3

Ch6 P16, 20,
Ch7 P1c,2c
 Nov 21
Nov 25-29
THANKSGIVING BREAK- NO CLASSES

   
Dec 3 Tu
Power spectra
Sine and Cosine transforms
7.4,5,6
7.7
 
Dec 5 Th Sturm-Liouville Theory 8.1,2 Ch 7 P7, 11, 25a
In P 7, plot versus w/w0 not wT
  Dec 5
Dec 10 Tu Spherical problems, Legendre functions 8.3
 
Dec 12 Th Spherical Harmonics; Bessel functions
Last class
 8.4
Ch 8 P2(ii), 6
 Dec 12
Dec 17 Tu
FINAL EXAMINATION: In class exam 10:45 am -1:15 pm
Take home exam handed out
  If this schedule poses a hardship for you,  
Dec 19 Th
Take-home Final Exam due 48 hrs after you received it. 
  you must notify me by Nov 7.   

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