Class schedule Physics 785 Fall 2014


Date 
Topic 
Reading 
Problems
Due
   
 from text

Aug 26 Tu Introduction. Begin review of basics.
Vectors
1.1
LB Interlude I
Ch 1 P3, 7, 10 Aug 28
Aug 28 Th Scalar and Vector Fields.  1.2

Sep 2 Tu  Curvilinear coordinates  1.3

Sep 4 Th  More on vectors and curvilinear coordinates 1.3-6 Ch1 p6, 11, 15, 21, 25c, Sep 4
Sep 8 Mon LAST DAY TO DROP CLASSES
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 1 P 31b
Ch 2 P2, 6, 8a, 12, 14 
Circuit review
Sep 11
Sep 16 Tu Integration- Cauchy Theorem.
Complex Series
2.2 , 2.3

Sep 18 Th Complex Series
Use of complex variables in fluid flow.
 2.3  Ch2 P15, 16b, 19, 22d,e
(check errata for p19)
 Sep 18
Sep 22 Mon LAST DAY TO ADD CLASSES
Sep 23 Tu Poles and zeroes. 2.4, 5

 
Sep 25 Th The Residue Theorem 2.6,7 Ch 2 P 23d, 24b,c,d, 28c Sep 25

Sep 30 Tu Residue theorem- applications
2.6,7
 

Oct 2 Th  Residue theorem- more.
Conformal mapping.
2.8 Ch2 p 27b,c, 30b, 35  Oct 3
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  Oct 9
Oct 14 Tu  MID-TERM EXAM
Ch 1-2

 
Oct 16 Th  More on DEs, numerical methods Ch 3
Ch 3 P 8a  Oct 16
Oct 21 Tu Fourier Series. Sine and cosine series. 4.1-3Ch 3 p28 (Group project) 
Start now!
 Nov 4
Oct 23 Th  Use of FS in physics.  Convergence.
Revised Example
4.4-5
Ch3 P31, Ch 4 P6, 9  Oct 23
Oct 28 Tu Laplace transforms.  5.1-5
Oct 30 Th Tricks for inversion, Convolution 5.6, 7 Ch 4 P 11, 18 Ch 5 P 1e  Oct 30
Nov 4 Tu The Mellin Inversion integral. Examples. 5.7 Ch3 P 28Nov 4
Nov 6 Th  Delta functions  6.1,2 Ch 5 P5a, 6b, 12, 17
 Nov 6
Nov 11 Tu  Veteran's day. No classes.
Nov 13 Th More rigorous math on delta fns.
Sequences and series
6.3,4
Ch5 P21 Ch 6 P 2, 3b, 6b,
 Nov 13
Nov 18 Tu Distributions in N dimensions
6.5,6
Nov 20 Th Fourier transforms 7.1,2 Ch6 P4, 18b, 20,  Nov 20
Nov 24-28
THANKSGIVING BREAK- NO CLASSES

   
Dec 2 Tu
Use of FT in solving PDEs.
Power spectra
7.3,4,5  
Dec 4 Th Sine and Cosine transforms 7.6,7 Ch 7 P1f, 7, 11, 29
In P 7, plot versus w/w0 not wT
  Dec 4
Dec 9 Tu Sturm-Liouville Theory
Spherical problems, Legendre functions
8.1,2,3
 
Dec 11 Th Spherical Harmonics; Bessel functions
Last class
 8.4
Ch 8 P2(iii), 5 In 8.2(iii) take aL/2 = b and beta = -3 alpha L
 Dec 11
Dec 16 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 18 Th
Take-home Final Exam due 48 hrs after you received it. 
  you must notify me by Nov 6.   

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