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Symmetries and Idealizations
 
Fall 2014

Syllabus

Daily Notices

Tentative: Check Often For Updates

Day Topic:
  Subtopic
Reading   (Bridge Book)
  (Main, Alternate,  Deep)
Due Dates
1
Mon
9/29
Course Introduction
Dimensions
Small groups
  Roles
Differentiation (Discrete)
  Activity: PDM
Introduction
Dimensions
 
 
GEM 1.2.1
     
2
Tue
9/30
More Derivatives
Surfaces
  Activity: Level Curves
Scalar Fields
Potentials
Voltmeters
Superposition
  Activity: Quadrupole
Visualization
  Activity: Mathematica
  Activity: PHET
 
Surfaces
Boas 5.5
Scalar Fields
Potentials
GEM 2.3.1-2.3.2
Voltmeters
Superposition
 
 
HW0
         
3
Wed
10/1
Differentiation
Differentials
Multivariable Differentials
  More Surfaces
 
 
Boas 4.3
Partial Derivatives
 
HW 1
Practice
Solutions
  
4
Thu
10/2
Dot Product
Vectors
Position Vector
dr vector
More Surfaces
The Master Formula
Gradient
Vector Fields
Dot Products
Boas 6.2
GEM 1.1.1-1.1.2
Vectors
Position Vectors
 
 
Gradient Definition
Gradient Properties
Boas 5.6
GEM 1.2.2-1.2.3
Vector Fields
            
5
Fri
10/3
Curvilinear Coordinates
  Coordinates
  Basis Vectors
Line Elements
  Activity: Vector Line Elements
  Line Elements Figures
Curvilinear Coordinates
Boas 5.4
GEM 1.4.1-1.4.2
Basis Vectors
GEM App. A
 
 
HW 2
Practice
Solutions
    
6
Mon
10/6
Densities
Integration (Discrete)
  Activity: PDM
Line, Area, Volume Elements
  Activity: Area/Volume Elements
 
 
GEM 1.3.1-1.3.2
 
Boas 5.1-3
     
7
Tue
10/7
Review
Total Charge
  Activity: Total Charge
Cross Product
dA vector
Flux
 
 
Cross Product
Boas 6.2
 
Flux
Boas 6.10
       
8
Wed
10/8
Flux w/ less symmetry
Current Density
Total Current
 
Current
 
GEM 5.1.3, 5.2.1
HW 3
Practice
Solutions
 
9
Thu
10/9
Gauss's Law
  Visualization
Gauss's Law
GEM 2.2.1
  
10
Fri
10/10
Gauss's Law w/ Symmetry
  Activity:Gauss on Cylinders, Spheres
Gauss's Law w/ Symmetry
GEM 2.2.3
 
HW 4
Practice
Solutions
11
Mon
10/13
Idealization
  Step Functions
Delta Functions
  Introductions
  Representations
  Properties
Idealization
Delta Functions
GEM 1.5.1-1.5.3
 
 
     
12
Tue
10/14
Divergence
  Visualization
  Visualization2
Divergence Theorem
Maxwell's Eqns.
Electric Field
  Activity: VEUF
Divergence
 
GEM 1.2.4, 2.2.2
Divergence Theorem
GEM 1.3.4
Maxwell's Eqns.
Electric Field
       
13
Wed
10/15
Ampere's Law
Ampere's Law w/ Symmetry
Ampere's Law
GEM 5.3.2-5.3.4
Ampere's Law w/ Symmetry
GEM 5.3.3
HW 5
Practice
Solutions
 
14
Thu
10/16
Curl
  Visualization
Stokes' Thm.
Potential from Electric Field
Curl
 
GEM 1.2.5
Stokes' Thm.
GEM !.3.5
Potential from Electric Field
GEM 2.4.1
       
15
Fri
10/17
Review
  Concepts
  Derivatives
Divergence Free Fields
Curl Free Fields
Divergence of Pt. Charge
Electric Field Lines
Review
 
Divergence Free Fields
GEM 1.6
Curl Free Fields
GEM 1.6
Divergence of Pt. Charge
Electric Field Lines
GEM 2.2.1
HW 6
Practice
Solutions
      
16
Mon
10/20
Final (7 pm)
Final (7 pm)
 

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