Course Name
Course Number
ph422
Year/Term
Winter-2024
Course Credits
3
Class meeting times
7 hours of lecture per week for five weeks
Prerequisites
PH213, MTH255
Course description
Theory of static electric, magnetic, and gravitational potentials and fields using the techniques of vector calculus in three dimensions.
Unit: Potentials Due to Discrete Charges
Introduction to the Unit
Learning Outcomes
1/8 Mon
Introduction to the Course
Review on your own(as needed):Basic Calculus, Exponentials & Logarithms, Vectors
Electrostatic & Gravitational Potential
Position Vector
GSF: The Position Vector
GEM 1.1.4
1/9 Tues
Dot Product
GSF: The Dot Product
GEM 1.1.1
Calculating the Distance Between Two Points
GSF: The Distance Formula
GEM 1.1.2, 1.1.4
Visualizing Potentials
1/10 Wed
1/11 Thurs
Superposition
Definition of Power Series
Derive Power Series Coefficients
Calculating Coefficients of Power Series
Guessing Power Series
Power Series Approximations (Sine Example)
1/12 Fri
Potential Due to a Pair of Charges: Limiting Cases
More Power Series Information
Power Series Sensemaking
1/15 Mon
MLK (No Class)
1/16 Tues
The Multivariable Differential
Unit: Integration in Curvilinear Coordinates
Introduction to the Unit
Learning Outcomes
1/17 Wed
Step Functions
1/18 Thurs
Snow Day
1/19 Fri
Densities
GSF: Densities
GEM 2.1.4
Modeling Nonuniform Densities
Curvilinear Coordinates
1/22 Mon
Scalar Line, Surface, Volume Elements
Unit: Fields from Continuous Sources
Introduction to the Unit
Learning Outcomes
1/23 Tues
Representations of Vectors
Vector Differential
Curvilinear Basis Vectors
Use What You Know
1/24 Wed
Electrostatic Potential in Curvilinear Coordinates
Limiting Cases
Other Continuous Sources
1/25 Thurs
Introduction to the Lorentz Force Law
GSF: The Lorentz Force Law
GEM 5.1, 5.3.4
Taylor 2.5
Electric Field Due to a Point Charge
Superposition for Electric Fields
Electric Field for Two Point Charges
Electric Field Lines
1/26 Fri
Electric Fields from Continuous Charge Distributions
Unit: $\vec{E}$ as a Gradient
Introduction to the Unit
Learning Outcomes
1/29 Mon
Big Quiz Opens
Electric Field Due to a Point Charge as a Gradient
GEM 2.1.1-2.1.2
Unit: Gauss's Law (Integral)
Introduction to the Unit
Learning Outcomes
1/30 Tues
Products of Vectors: Cross Product
Triple Product
GMM: Cross Product
GEM 1.1.1-1.1.3
Vector Surface Elements
Flux Definition
Visualizing Flux
1/31 Wed
Gauss's Law in Integral Form
Unit: Divergence and Curl
Introduction to the Unit
Learning Outcomes
2/1 Thurs
Derivatives of Vector Fields
Definition of Divergence
Visualization of Divergence
Circulation
2/2 Fri
Divergence Theorem
GSF: The Divergence Theorem
GEM 1.3.4
Taylor 13.7
Differential Form of Gauss's Law
Unit: Magnetic Fields
Introduction to the Unit
Learning Outcomes
Learning Outcomes
2/5 Mon
Relationship of Fields
Current Density
Total Current
GSF: Current
GEM 5.1.3, 5.2.2
Lorentz Force Law
2/6 Tues
Magnetic Vector Potential
Ampère's Law in Integral Form
2/8 Thurs
Stokes' Theorem
Differential Form of Ampère's Law
Magnetic Field $\vec{B}$ from Magnetic Vector Potential $\vec{A}$
GEM 5.4.1
Curl-Free Vector Fields
GSF: Curl-Free Vector Fields
GEM 1.6.2
Taylor 4.4
2/9 Fri
2/12, 7-9pm
FINAL EXAM