Review of Key Concepts from Mechanics

• Math Review
• Defining a System
• 3 Fundamental Principles of Mechanics
• Using Python
• Common Commands in Python

Modeling a Single Point Charge

• Electric Charge
• Charge and Matter
• Charging and Discharging
• Electric Field
• Electric Potential
• Relating Electric Field and Electric Potential

Superposition and Modeling Two Point Charges

• Electric Force
• Electric Potential Energy
• Relating Electric Force, Electric Field, Electric Potential, and Electric Potential Energy
• Superposition
• Dipole Superposition Example
• Superposition and the Computer

Modeling Distributions of Charge

• Building Electric Field and Potential for a Line of Charge
• dQ and the $\vec{r}$
• Line of Charge
• Distributions of Charges
• Patterns in Fields

Modeling Moving Charges and Batteries

• Motivation for Moving Charges
• Batteries
• Surface Charges around Circuit
• Surface Charge Gradients
• Defining Current
• Current in Wires

Modeling Resistors

• Resistors
• Energy in Circuits
• Resistors and Conductivity
• Resistors in Series
• Resistors in Parallel
• Using Loop and Node Equations to Solve Circuits

Modeling Combinations of Resistors and Capacitors

• Charging and Discharging Capacitors
• Capacitors in Circuits
• Capacitors in Series
• Capacitors in Parallel
• Larger Combinations of Circuit Elements

Modeling Magnetic Field and Force from a Moving Point Charge

• Magnetic Interaction
• Moving Charges Make Magnetic Fields
• Right Hand Rule
• Magnetic Forces in the Real World
• Magnetic Force on Moving Charges
• Path of a Moving Charge through a Magnetic Field

Modeling the Magnetic Field of a Wire

• Superposition of Magnetic Fields
• Permanent Magnets
• Currents Make Magnetic Fields
• Using Superposition of Magnetic Field and the Computer
• Shapes of Wire and Magnetic Field

Modeling Magnetic Force of a Wire

• Magnetic Force on Current Carrying Wire
• Summary of Magnetic Fields/Force
• Summary of Electricity and Magnetism (thus far)

Modeling Symmetric Magnetic Fields

• Motivating Ampere's Law
• Magnetic Field along a Closed Loop
• Current through a Loop
• Putting Together Ampere's Law

Modeling Symmetric Electric Fields

• Motivation for Gauss's Law
• Electric Flux and Area Vectors
• Electric Flux through Curved Surfaces
• Enclosed Charge
• Putting together Gauss's Law

Relating Electric and Magnetic Fields

• What happens when you change the magnetic field near a loop?
• Changing magnetic flux
• The Curly Electric Field and Induced Current
• Putting All of Faraday's Law Together

Modeling Changing Magnetic Field and Changing Electric Fields

• Changing Magnetic Fields with Time
• Alternating Current
• Changing Electric Fields

Review of the semester

• The Electric Field
• The Magnetic Field
• Conservation Theorems
• Symmetry and Mathematical Tools
• Maxwell's Equations