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Symmetries & Idealizations
 
Fall 2011

Syllabus

Daily Notices

Tentative: Check Often For Updates

Day Topic:
  Subtopic
Reading   (Bridge Book)
  (Main, Alternate,  Deep)
Due Dates
1
Mon
10/17
Paradigms/Course Intro
  Intro
Potentials for E & g
  Coulomb's Law
Superposition
Visualizing Potentials
  Equipotential surfaces
  Visualize: Mathematica
  Visualize: Maple
  Visualize: PhET
Voltmeters
Zero of potential
GEM ix-xv
Introduction
Dimensions
GEM 2.3.2
Potentials
 
Visualizing Equipotentials
More Visualizing Equipotentials
Visualizing w/ Technology
More Visualizing w/ Technology
 
Voltmeters
 
             
2
Tue
10/18
Dot Products
Position Vector
Fields
Charges away from the origin
Superposition of Discrete Sources
  Dipoles
RHB 7.6
GEM 1.1.1-1.1.2
Dot Products
Vectors
GEM 1.1.4
Scalar Fields
RHB 7.2
Distance
 
        
3
Wed
10/19
Power Series
  Definition
Common Series
  Memorize
Coeffiecients
  Finding Coefficients
Power Series
  Theorems
Approximations using power series
  Adding up terms
  Adding up terms
RHB 4.5
Boas 1
RHB 4.6
Definitions
Memorize
Coefficients
More Coefficients
Dimensions
Approximations
Theorems
Adding up terms
More Adding Up
Convergence
HW 1
Practice
Solutions
        
4
Thu
10/20
Superposition of Discrete Sources
  Dipoles
  Near and far limits
Dipoles Near and Far
More Dipoles
  
5
Fri
10/21
Wrap-up
 
 
 
 
HW 2
Practice
Solutions
SeriesConvergenceSol
6
Mon
10/24
Curvilinear coordinates
  Definitions
  Vector differential
RHB 10.9, GEM 1.1.4, 1.4
RHB 10.10
Definition
Basis Vectors
More Basis Vectors
GEM 1.4
Definition
Polar Coords
Cylindrical/Spherical
Cylindrical/Spherical Hint
         
7
Tue
10/25
Densities
  Line, surface, and volume densities
GEM 2.1.4
Densities
Integration
Vector Line Integrals
Scalar Line Integrals
Use What You Know
      
8
Wed
10/26
Cross & Triple Products
Surface & Volume Integrals
Total Charge
  Line, surface, and volume integrals
RHB 7.6
GEM 1.1.1-1.1.3
Cross Product
Triple Product
Surface Elements
Cylinders/Spheres
Cylinders/Spheres Hint
Scalar Surface Integrals
Volume Integrals
RHB 11, GEM 1.3.1
Boas 6.8
Total Charge
Total Charge Hint
HW 3
Practice
Solutions
        
9
Thu
10/27
Superposition of Continuous Sources
  Finite Line
Green functions
Superposition of Continuous Sources
  Continuous charge distributions
  Visualize Ring (Mathematica)
  (Maple)
The Ring
  Limits near and far
Finite Line
 
Ring
More Ring
RHB 11.1, 11.5-11.6, GEM 2.3.4, MT 5.1-5.2
 
 
Limiting Cases
        
10
Fri
10/28
Theta Functions
Delta Functions
Theta Definition
Delta Definition
Delta Properties
Delta Representations
Densities
 
HW 4
Practice
Solutions
   
11
Mon
10/31
Charges that extend to infinity
  Infinite Line
Writing
  Examples
Infinite Line
 
  
12
Tue
11/1
Drawing Electric Field Vectors
E & g Fields
  E Ring
  Limits of Ring
 
GEM 2.1, MT 5.4
Electric Fields
 
    
13
Wed
11/2
  More limits of the ring
 
 
14
Thu
11/3
Quantifying Change
  Partial derivatives
  Gradients
E & g Fields
  From gradients
  Visualize Gradients
  Visualize Gradients
  Visualize Ring (Mathematica)
  Visualize Ring (Mathematica)
Possible Electric Fields
RHB 5.1-5.2
Boas 6.6
Partial Derivatives
RHB 10.7, GEM 1.1.1-1.1.2
Boas 6.7
Schey IV
Chain Rule
Gradient
Directional Derivatives
Curvilinear Coords
TM 5.3
 
 
 
 
 
 
HW 5
Practice
Solutions
           
15
Fri
11/4
Energy
VEUF square
Review
GEM 2.4
 
Review
HW 6
Practice
Solutions
16
Mon
11/7
Final (7 pm)
 
 

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