Class schedule Physics 785 Fall 2011


Date 
Topic 
Reading 
Problems
Due
   
 from text

Aug 23 Tu Introduction. Begin review of basics.
Vectors
1.1
LB Interlude I
Ch 1 P2, 4, 6, 10, 11, 14 Aug 30
Aug 25 Th Scalar and Vector Fields.  1.2

Aug 30 Tu  Curvilinear coordinates  1.3

Sep 1 Th  More on vectors and curvilinear coordinates 1.3-6 Ch1 p5, 21, 23, 25b, 26b, 29, 30a Sep 6
Sep 6 Tu Complex variables and their use in physics
LAST DAY TO DROP CLASSES
 2.1   
Sep 8 Th Complex functions. Branch cuts.
Calculus with complex variables.
2.2 Ch 2 P2, 4, 6, 8a, 11, 14 
Circuit review
Sep 13
Sep 13 Tu Integration- Cauchy Theorem.
Complex Series
2.2 , 2.3

Sep 15 Th Complex Series
Use of complex variables in fluid flow.
 2.3  Ch2 P15, 16a 19, 21c, 22b,e<(check errata for p19)
 Sep 20
Sep 20 Tu Poles and zeroes.
LAST DAY TO ADD CLASSES
2.4, 5

 
Sep 22 Th The Residue Theorem 2.6 ,7 Ch 2 P 23c, 24c,d, 28b,c Sep 27

Sep 27 Tu Residue theorem- applications
2.6,7
 

Sep 29 Th  Residue theorem- more.
Conformal mapping.
2.8 Ch 2  p 27b,c, 29b 30a  Oct 5
Oct 4 Tu  The gamma function . Quick review of Differential eqns. 2.9 
Ch 3

 
Oct 6 Th Quick review of Differential eqns.
 - series soln.
Ch 3
Ch 2 p 30b, 31b 32b,38  Oct 11
Oct 11 Tu  More on DEs, numerical methods Ch 1-2

 
Oct 13 Th  MID-TERM EXAM
Ch 3
 
 
Oct 18 Tu Fourier Series. Sine and cosine series. 4.1-3 Ch 3 P 4, 16, 25, 31  Oct 18
Oct 20 Th  Use of FS in physics.  Convergence.
Revised Example
4.4-5
Ch 3 p28 (Group project)  Start now!  Due Nov 8
Oct 25 Tu Laplace transforms.  5.1-5 Ch 4 P7, 9, 18  Oct 25
Oct 27 Th Tricks for inversion, Convolution 5.6, 7
 
Nov 1 Tu The Mellin Inversion integral. Examples.  5.7 Ch 4 P 19 Ch 5 P 1c, g, 5b
 Nov 1
Nov 3 Th  Delta functions  6.1,2,3
 
Nov 8 Tu  More rigorous math on delta fns.
6.3,4
Ch5 P 6a, 9, 14b, 19
Ch3 P 28
 Nov 8
Nov 10 Th Sequences and series
Distributions in N dimensions

 
Nov 15 Tu Fourier transforms
6.4,5,6
Ch 6 P 1b, 3b, 5, 6b.  Nov 15
Nov 17 Th Examples. Use of FT in solving PDEs. 7.1,2,3


 
Nov 21-26
THANKSGIVING BREAK- NO CLASSES

   
Nov 29 Tu
Power spectra
Sine and Cosine transforms
7.4,5,6
7.7
Ch 6 P 18b, 20, 24 Ch 7 P 1c, 2c, 7
In P 7, plot versus w/w0 not wT
 Nov 29
Dec 1 Th Sturm-Liouville Theory 8.1,2
 
Dec 6 Tu Spherical problems, Legendre functions 8.3
 
Dec 8 Th Spherical Harmonics; Bessel functions
Last class
 8.4 Ch 7 P 11, 25
Ch 8 P2(ii), 6
 Dec 8
Dec 13 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, you  
Dec 15 Th
Take-home Final Exam due 48 hrs after you received it. 
  must notify me by Nov 8.   

Return to Dr. Lea's home page