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Symmetries and Idealizations
 
Fall 2015

Syllabus

Tentative: Check Often For Updates

Day Topic:
  Subtopic
Reading   (Bridge Book)
  (Main, Alternate,  Deep)
Due Dates
1
Thu
9/24
Paradigms/Course Intro
  Intro
Scalars and Vectors
Dot Products
Circle Trigonometry
  Simulation
Position Vector
GEM ix-xv
Introduction
Dimensions
 
RHB 7.6
GEM 1.1.1-1.1.2
Dot Products
 
Vectors
GEM 1.1.4
         
2
Fri
9/25
Complex Numbers
  Review Websites
Argand Diagram
Euler's Formula
Complex Algebra
Phases
 
 
 
 
 
HW 0
Solutions
   
3
Mon
9/28
1-D Integration
Work
VEUF intro
 
 
 
   
4
Tue
9/29
Charge Densities
Densities
  Line, surface, and volume densities
Fields
Total Charge (rectangular)
Curvilinear coordinates
  Definitions
ds
  Line Elements
Total Charge
  Line, surface, and volume integrals
Densities
GEM 2.1.4
Scalar Fields
 
RHB 10.9, GEM 1.1.4, 1.4
RHB 10.10
Definition
Integration
 
Scalar Line Integrals
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
                 
5
Wed
9/30
Potentials for E & g
  Coulomb's Law
Superposition
Visualizing Potentials
  Equipotential surfaces
  Visualize: Mathematica
  Visualize: Maple
  Visualize: PhET
Superposition of Discrete Sources
  Dipoles
Voltmeters
Zero of potential
Charges away from the origin
r-r'
Star Trek
GEM 2.3.2
Potentials
 
Visualizing Equipotentials
More Visualizing Equipotentials
Visualizing w/ Technology
More Visualizing w/ Technology
 
 
Voltmeters
 
RHB 7.2
 
 
HW 1
Solutions
            
6
Thu
10/1
Power Series
  Definition
Power Series
  Theorems
Approximations using power series
  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
           
7
Fri
10/2
Superposition of Discrete Sources
  Dipoles
  Near and far limits
Dipoles Near and Far
More Dipoles
HW 2
Solutions
8
Mon
10/5
Superposition of Continuous Sources
  Continuous charge distributions
  The ring
Ring
More Ring
RHB 11.1, 11.5-11.6, GEM 2.3.4, MT 5.1-5.2
 
    
9
Tue
10/6
The Ring
  Limits near and far
Limiting Cases
 
10
Wed
10/7
Superposition of Continuous Sources
  Finite LIne
Green functions
Charges that extend to infinity
  Infinite Line
Finite Line
 
Infinite Line
 
HW 3
Solutions
  
11
Thu
10/8
Quantifying Change
  1-d Derivatives
  Discrete Data
Visualizing Derivatives
Differentials
Partial derivatives
Gradients
 
 
 
 
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
Integration
           
12
Fri
10/9
Curvilinear Basis Vectors
Vector differential
  dr in curvilinear
Gradient in Curvilinear Coords
Cross & Triple Products
Vector Surface Elements
Basis Vectors
More Basis Vectors
GEM 1.4
Definition
Polar Coords
Cylindrical/Spherical
Cylindrical/Spherical Hint
Curvilinear Coords
Vector Line Integrals
Use What You Know
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
HW 4
Solutions
                
13
Mon
10/12
E & g Fields
  From gradients
Vector Line Integrals
E & g Fields
  E Ring
TM 5.3
Electric Fields
Vector Line Integrals
GEM 2.1, MT 5.4
    
14
Tue
10/13
Limits of Ring
Drawing Electric Field Vectors
  Visualize Gradients
Possible Electric Fields
 
 
 
 
    
15
Wed
10/14
Energy
VEUF square
GEM 2.4
 
HW 5
Solutions
16
Thu
10/15
Murder Mystery Method
 
 
17
Fri
10/16
Review
Review
 
HW 6
Solutions
18
Mon
10/19
Final (7 pm)
 
 

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