# Symmetries and Idealizations Fall 2015

### Tentative: Check Often For Updates

Day Topic:
Subtopic
(Main, Alternate,  Deep)
Due Dates
1
Thu
9/24
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
RHB 4.5
Boas 1
RHB 4.6
Definitions
Memorize
Coefficients
More Coefficients
Dimensions
Approximations
Theorems
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

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
Directional Derivatives
Integration

12
Fri
10/9
Curvilinear Basis Vectors
Vector differential
dr in curvilinear
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
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
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)