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Symmetries & Idealizations
 
Fall 2007

First Day Handout

Daily Notices

Tentative: Check Often For Updates

Day Topic:
  Subtopic
Reading
  (Main, Alternate,  Deep)
Due Dates
1
Mon
9/24
Power Series
  Definition
Small Group Activities
  Roles
RHB 4.5
Boas 1
RHB 4.6
 
  
2
Tue
9/25
Introduction to the Paradigms
  Coefficients
Power Series
  Theorems
Introduction to Maple
  Getting started with Maple
  More Maple
Approximations using power series
  Adding up terms
  Exploiting symmetry
GEM ix-xv
Important series
 
 
 
 
 
HW 0
      
3
Wed
9/26
Potentials for E & g
  Coulomb's Law
  Charges away from the origin
  Zero of potential
Position Vector
Dot Products
GEM 2.3.2
RHB 7.2
 
GEM 1.1.4
RHB 7.6
GEM 1.1.1-1.1.2
HW 1
Solutions
   
4
Thu
9/27
Superposition of Discrete Sources
  Dipoles
  Near and far limits
 
 
  
5
Fri
9/28
More Dipoles
Writing
  Guiding Questions
 
 
 
HW 2
Solutions
Problem3
6
Mon
10/1
Visualizing Potentials
  Equipotential surfaces
  Exploiting technology
Concept Maps
 
 
 
   
7
Tue
10/2
Densities
  Line, surface, and volume densities
Curvilinear coordinates
  Definitions
  Vector differential
Cross & Triple Products
Total Charge
  Line, surface, and volume integrals
GEM 2.1.4
RHB 10.9, GEM 1.1.4, 1.4
RHB 10.10
GEM 1.4
RHB 7.6
GEM 1.1.1-1.1.3
RHB 11, GEM 1.3.1
Boas 6.8
     
8
Wed
10/3
Idealization: Edges
  Theta Functions
Idealization: Infinite Thinness
  Delta functions
RHB 13.1.3
RHB 13.1.3, GEM 1.5
HW 3
Solutions
9
Thu
10/4
Superposition of Continuous Sources
  Continuous charge distributions
  The ring
RHB 11.1, 11.5-11.6, GEM 2.3.4, MT 5.1-5.2
 
  
10
Fri
10/5
The Ring
  Limits near and far
Writing
  Assignment 2
 
 
HW 4
Solutions
11
Mon
10/8
Zero of Potential
Charges that extend to infinity
Green functions
 
 
 
   
12
Tue
10/9
Quantifying Change
  Partial derivatives
  Gradients
E & g Fields
  From gradients
E & g Fields
RHB 5.1-5.2
Boas 6.6
RHB 10.7, GEM 1.1.1-1.1.2
Boas 6.7
Schey IV
TM 5.3
GEM 2.1, MT 5.4
    
13
Wed
10/10
E & g Fields
 
 
HW 5
Solutions
14
Thu
10/11
E & g Fields
  From Coulomb's Law
 
 
15
Fri
10/12
Back to Potentials
  Murder Mystery Method
Review
GEM 2.3.1, 1.3.2-1.3.3
 
HW 6
Solutions
16
Mon
10/15
Final (7 pm)
 
Notebook

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