Class schedule Physics 785 Fall 2016


Date 
Topic 
Reading 
Problems
Due
   
 from text

Aug 25 Th Introduction. Begin review of basics.
Vectors
1.1
LB Interlude I
Ch 1 P21 Aug 30
Aug 30 Tu Scalar and Vector Fields.  1.2

Sep 1 Th  Curvilinear coordinates  1.3

Sep 6 Tu  More on vectors and curvilinear coordinates 1.3-6, A1-A3 Ch1 p31b, Sep 6
Sep 8 Th Complex variables and their use in physics  2.1 
Circuit review
 
Sep 13 Tu Complex functions. Branch cuts.
Calculus with complex variables.
2.2 Ch 2 P6
Sep 13
Sep 14 Wed LAST DAY TO ADD/DROP CLASSES
Sep 15 Th Integration- Cauchy Theorem.
Complex Series
2.3

Sep 20 Tu Laplace's eqn
Use of complex variables in fluid flow. Poles and zeroes. Residues
 2.4,2.5,2.6  Ch2 P 19
(check errata for p19)
 Sep 20
Sep 22 Th The Residue Theorem 2.7.1,2.7.2
 
Sep 27 Tu Residue theorem- applications 2.7.3,2.7.4 Ch 2 P 25 Sep 27

Sep 29 Th Residue theorem- applications
2.7.3,4
 

Oct 4 Tu  Conformal mapping.
The gamma function
2.8,9 Ch2 p 35  Oct 4
Oct 6 Th  Quick review of Differential eqns. 3.1,3.2,3.3.1
 
Oct 11 Tu Diff eqns: series soln. 3.3
Ch 2 p 39  Oct 11
Oct 13 Th  MID-TERM EXAM
Ch 1-2

 
Oct 18 Tu  More on DEs, numerical methods 3.4, 3.5 Ch 3 P 26 Oct 18
Oct 20 Th Fourier Series. Sine and cosine series. 3.5, 4.1-3 Ch 3 p28 (Group project) 
Start now!
Nov 17
Oct 25 Tu  Use of FS in physics.  Convergence.
Revised Example
4.4-5
Ch 4 P9  Oct 25
Oct 27 Th Laplace transforms.  5.1-4
Nov 1 Tu Convolution; The Mellin Inversion integral. 5.5,6 Ch 4 P 18  Nov 1
Nov 3 Th Examples in physics. 5.7
Nov 8 Tu  Delta functions  6.1,2 Ch 5 P19  Nov 8
Nov 10 Th  More rigorous math on delta fns.
Sequences and series,
6.3,4
Nov 15 Tu Distributions in N dimensions 6.5,6
Ch 6 P 2  Nov 15
Nov 17 Th Fourier transforms 7.1,2,3
Ch3 P 28 Nov 17
Nov 21-25
THANKSGIVING BREAK- NO CLASSES

   
Nov 29 Tu Use of FT in solving Diff eqns 7.4,5 Ch6 P16  Nov 29
Dec 1 Th
Power spectra, Sine and Cosine transforms 7.6,7  
Dec 6 Tu Sturm-Liouville Theory 8.1,2 Ch 7 P 12   Dec 6
Dec 8 Th Spherical problems, Legendre functions 8.3
 
Dec 13 Tu Bessel functions
Last class
 8.4 Ch8 P13  Dec 13
Dec 15 ThTake home exam handed out
Dec 19 Mon10 am Take-home Final Exam due
Dec 20 Tu
FINAL EXAMINATION: In class exam 10:45 am -1:15 pm
  If this schedule poses a hardship for you,  

  you must notify me by Nov 8.   

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