Class schedule Physics 785 Fall 2015


Date 
Topic 
Reading 
Problems
Due
   
 from text

Aug 25 Tu Introduction. Begin review of basics.
Vectors
1.1
LB Interlude I
Ch 1 P21 Aug 27
Aug 27 Th Scalar and Vector Fields.  1.2

Sep 1 Tu  Curvilinear coordinates  1.3

Sep 3 Th  More on vectors and curvilinear coordinates 1.3-6 Ch1 p24, Sep 3
Sep 4 Fri LAST DAY TO DROP CLASSES
Sep 8 Tu Complex variables and their use in physics  2.1 
Circuit review
 
Sep 10 Th Complex functions. Branch cuts.
Calculus with complex variables.
2.2 Ch 2 P6
Sep 10
Sep 15 Tu Integration- Cauchy Theorem.
Complex Series
2.3

Sep 17 Th Laplace's eqn
Use of complex variables in fluid flow.
 2.4  Ch2 P 19
(check errata for p19)
 Sep 17
Sep 21 Mon LAST DAY TO ADD CLASSES
Sep 22 Tu Poles and zeroes.
The Residue Theorem
2.5,6
 
Sep 24 Th Residue theorem- applications 2.7.1,2 Ch 2 P 26 Sep 24

Sep 29 Tu Residue theorem- applications
2.7.3,4
 

Oct 1 Th  Conformal mapping.
The gamma function
2.8,9 Ch2 p 35  Oct 1
Oct 6 Tu  Quick review of Differential eqns. 3.1,3.2,3.3.1
 
Oct 9 Th Diff eqns: series soln. 3.3
Ch 2 p 39  Oct 9
Oct 13 Tu  MID-TERM EXAM
Ch 1-2

 
Oct 15 Th  More on DEs, numerical methods 3.4, 3.5 Ch 3 P 25 Oct 15
Oct 20 Tu Fourier Series. Sine and cosine series. 3.5, 4.1-3 Ch 3 p28 (Group project) 
Start now!
Nov 3
Oct 22 Th  Use of FS in physics.  Convergence.
Revised Example
4.4-5
Ch 4 P9  Oct 22
Oct 27 Tu Laplace transforms.  5.1-4
Oct 29 Th Convolution; The Mellin Inversion integral. 5.5,6 Ch 4 P 23  Oct 29
Nov 3 Tu Examples in physics. 5.7 Ch3 P 28Nov 3
Nov 5 Th  Delta functions  6.1,2 Ch 5 P19  Nov 5
Nov 10 Tu  More rigorous math on delta fns.
Sequences and series,
6.3,4
Nov 12 Th Distributions in N dimensions 6.5,6
Ch 6 P 7  Nov 12
Nov 17 Tu Fourier transforms 7.1,2,3
Nov 19 Th Use of FT in solving Diff eqns 7.4,5 Ch6 P19  Nov 19
Nov 23-27
THANKSGIVING BREAK- NO CLASSES

   
Dec 1 Tu
Power spectra, Sine and Cosine transforms 7.6,7  
Dec 3 Th Sturm-Liouville Theory 8.1,2 Ch 7 P 21   Dec 3
Dec 8 Tu Spherical problems, Legendre functions 8.3
 
Dec 10 Th Bessel functions
Last class
 8.4 Ch8 P13  Dec 10
Dec 15 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 17 Th
Take-home Final Exam due 48 hrs after you received it. 
  you must notify me by Nov 6.   

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