Class schedule Physics 785 Fall 2017


Date 
Topic 
Reading 
Problems
Due
   
 from text

Aug 24 Th Introduction. Begin review of basics.
Vectors
1.1
LB Interlude I
Ch 1 P21 Aug 29
Aug 29 Tu Scalar and Vector Fields.  1.2

Aug 31 Th  Curvilinear coordinates  1.3

Sep 5 Tu  More on vectors and curvilinear coordinates 1.3-6, A1-A3 Ch1 p30b Sep 5
Sep 7 Th Complex variables and their use in physics  2.1 
Circuit review
 
Sep 12 Tu Complex functions. Branch cuts.
Calculus with complex variables.
2.2 Ch 2 P6
Sep 12
Sep 13 Wed LAST DAY TO ADD/DROP CLASSES
Sep 14 Th Integration- Cauchy Theorem.
Complex Series
2.3

Sep 19 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 19
Sep 21 Th The Residue Theorem 2.7.1,2.7.2
 
Sep 26 Tu Residue theorem- applications 2.7.3,2.7.4 Ch 2 P 13 plus addendum Sep 26

Sep 28 Th Residue theorem- applications
2.7.3,4
 

Oct 3 Tu  Conformal mapping.
The gamma function
2.8,9 Ch2 p 36  Oct 3
Oct 5 Th  Quick review of Differential eqns. 3.1,3.2,3.3.1
 
Oct 10 Tu Diff eqns: series soln. 3.3
Ch 2 p 38  Oct 10
Oct 12 Th  MID-TERM EXAM
Ch 1-2

 
Oct 17 Tu  More on DEs, numerical methods 3.4, 3.5 Ch 3 P 25 Oct 17
Oct 19 Th Fourier Series. Sine and cosine series. 3.5, 4.1-3 Ch 3 p28 (Group project) 
Start now!
Nov 16
Oct 24 Tu  Use of FS in physics.  Convergence.
Revised Example
4.4-5
Ch 4 P9  Oct 24
Oct 27 Th Laplace transforms.  5.1-4
Oct 31 Tu Convolution; The Mellin Inversion integral. 5.5,6 Ch 4 P 12  Oct 31
Nov 2 Th Examples in physics. 5.7
Nov 7 Tu  Delta functions  6.1,2 Ch 5 P16  Nov 7
Nov 9 Th  More rigorous math on delta fns.
Sequences and series,
6.3,4
Nov 14 Tu Distributions in N dimensions 6.5,6
Ch 6 P 3a  Nov 14
Nov 16 Th Fourier transforms 7.1,2,3
Ch3 P 28 Nov 16
Nov 20-24
THANKSGIVING BREAK- NO CLASSES

   
Nov 28 Tu Use of FT in solving Diff eqns 7.4,5 Ch 6 P18  Nov 28
Nov 30 Th
Power spectra, Sine and Cosine transforms 7.6,7  
Dec 5 Tu Sturm-Liouville Theory 8.1,2 Ch 7 P 13   Dec 5
Dec 7 Th Spherical problems, Legendre functions 8.3
 
Dec 12 Tu Bessel functions
Last class
 8.4 Ch 8 P6  Dec 12
Dec 14 ThTake home exam handed out
Dec 18 Mon10 am Take-home Final Exam due
Dec 19 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 7.   

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