Day
Unit: Potentials Due to Discrete Charges
Introduction to the Unit
Learning Outcomes

face Unit Learning Outcomes: Potentials Due to Discrete Charges
1 1/9 Mon
IRB intake
Review on your own
(as necessary):
Basic Calculus
Exponentials & Logarithms
Vectors

Basic Calculus: Practice Exercises

Derivative Rules

Exponential and Logarithm Identities

Properties of Logarithms and Exponents
The Distance Formula

Graphs Involving the Distance Formula

Parameters in Trigonometric Functions
Position Vector
2 1/10 Tues
Dot Product
Introduction to the Course

face Introduction to Static Fields

Introduction to Gradescope

Obtain Plotting Software

Syllabus and Schedule

Using Canvas Discussions
Dimensions
Electrostatic & Gravitational Potential

Potential vs. Potential Energy
Visualization of Potentials
Superposition

Linear Quadrupole (w/o series)
3 1/11 Wed
Definition of Power Series
Derive Power Series Coefficients
Calculating Coefficients of Power Series
Power Series Approximations
Power Series Notation

Power Series Practice

Series Convergence

Series Notation 1

Series Notation 2
Power Series Approximations

group Using Technology to Explore Power Series Approximations

Approximating Functions with Taylor Series
More Power Series Information
Power Series Sensemaking

assignment_ind Sensemaking from Graphs of Power Series I

assignment_ind Sensemaking from Graphs of Power Series II
4 1/12 Thurs
Potential Due to a Pair of Charges: Limiting Cases

Linear Quadrupole (w/ series)
Compare Series and Visualization
Unit: Integration in Curvilinear Coordinates
Introduction to the Unit
Learning Outcomes

group Unit Learning Outcomes: Integration in Curvilinear Coordinates
5 1/13 Fri
Zapping with d
6 1/16 Mon
MLK (No Class)
7 1/17 Tues
Curvilinear Coordinates

Distance Formula in Curvilinear Coordinates
Curvilinear Basis Vectors
Representations of Vectors

assignment_ind Representations of Vectors
Vector Differential
Scalar Line, Surface, Volume Elements

Memorize Power Series

Power Series Coefficients

Memorization A, Power Series

Power Series Coefficients A

Memorization B, Power Series

Power Series Coefficients B
8 1/18 Wed
Step Functions

Spherical Shell Step Functions

Theta Parameters

Triangle Parameters B
Delta Functions

Approximating a Delta Function with Isoceles Triangles

Linear Charge Density

Mass of a Slab

Volume Charge Density

Volume Charge Density, Version 2
9 1/19 Thurs
Densities
Total Charge
Proportional Reasoning
Use What You Know

assignment_ind Introduction to Use What You Know

face Charge on a Parabola

group Surface Area of a Paraboloid

Charge on a Spiral

Cone Surface

Helix

Icecream Mass

Sphere in Cylindrical Coordinates
Unit: Fields from Continuous Sources
Introduction to the Unit
Learning Outcomes

face Unit Learning Outcomes: Fields from Continuous Sources
10 1/20 Fri
Introduction to the Lorentz Force Law

assignment_ind Lorentz Force Law to Words
Vector Fields

Vector Field Fit

Vector Sketch (Curvilinear Coordinates)

Vector Sketch (Rectangular Coordinates)
Electric Field Due to a Point Charge

assignment_ind Electric Field of a Point Charge
Superposition for Electric Fields

group Drawing Electric Field Vectors for Discrete Charges
11 1/23 Mon
Multipole Expansion

assignment_ind Linear Quadrupole Followup
Electrostatic Potential in Curvilinear Coordinates

Potential from a Cone

Potential from a Finite Disk
12 1/24 Tues
Electric Fields from Continuous Charge Distributions

Electric Field from a Rod
LO1
LO4
LO10
LO8
Limiting Cases

Potential Due to a Ring of ChargeLimiting Cases
Other Continuous Sources

Line Sources Using Coulomb's Law

Potential for an Infinite Disk

Differentials of One Variable

Differentials of Two Variables

Find Area/Volume from \(d\vec{r}\)

Memorize \(d\vec{r}\)

Differentials Quiz A

Memorization A, \(d\vec{r}\)

Differentials Quiz B

Memorization B, \(d\vec{r}\)
Unit: $\vec{E}$ as a Gradient
Introduction to the Unit
Learning Outcomes

face Unit Learning Outcomes: \(\vec{E}\) as a Gradient
13 1/25 Wed
Review of Derivatives
Partial Derivatives
GEM 1.2.1
The Multivariable Differential

Differentials of Two Variables
Definition of Gradient
Properties of Gradient
Visualizing Gradient
Directional Derivatives

Directional Derivative

The puddle
Gradient in Curvilinear Coordinates
Electric Field Due to a Point Charge as a Gradient
GEM 2.1.12.1.2

Line Sources Using the Gradient

The Gradient for a Point Charge
Unit: Gauss's Law (Integral)
Introduction to the Unit
Learning Outcomes

face Unit Learning Outcomes: Gauss's Law (Integral Form)
14 1/26 Thurs
Products of Vectors
Cross Product
Triple Product

assignment_ind Cross Product Review
Vector Surface Elements
Flux Definition

Flux I

Flux II

Flux III

Flux through a Plane
Flux Calculation

group Flux through a Paraboloid
15 1/27 Fri
Visualizing Flux
16 1/30 Mon
Gauss's Law in Integral Form

group Gauss's Law in Symmetric Situations

Gauss's Law

Gauss's Law for a Rod inside a Cube

Gauss's Law on a Cylindrical Shell

Symmetry Arguments for Gauss's Law
Electric Field Lines
Big Quiz Opens
Unit: Divergence and Curl
Introduction to the Unit
Learning Outcomes

face Unit Learning Outcomes: Divergence and Curl
17 1/31 Tues
Derivatives of Vector Fields

assignment_ind Derivatives of Vector Fields
Definition of Divergence

Divergence

Divergence Estimate

Redo
Visualization of Divergence

Use What You Know on the Helix
18 2/1 Wed
Divergence Theorem

Divergence Theorem on a Paraboloid (CAM Version)

Divergence through a Prism

Electric Field and Charge

Gravitational Field and Mass
Differential Form of Gauss's Law

Differential Form of Gauss's Law
19 2/2 Thurs
Circulation

Circulation I

Circulation II

Vector Line Integrals
Curl

group Visualization of Curl

Curl

Curl Estimate

The Bathtub
Work
CurlFree Vector Fields
20 2/3 Fri
Electrostatic Energy Due to Discrete Charges

group Electrostatic Energy of Discrete Charges
Relationship of Fields

group V, \(\vec{E}\), U, \(\vec{F}\)
Unit: Magnetic Fields
Introduction to the Unit
Learning Outcomes
Learning Outcomes

face Unit Learning Outcomes: Magnetostatic Fields
21 2/6 Mon
Current Density
Total Current

Current in a Wire

Total Current, Circular Cross Section

Total Current, Square CrossSection
Lorentz Force Law

group Lorentz Force and Work Done on a Rectangular Loop

Force and Torque on a Current Loop
22 2/7 Tues
Ampère's Law
Ampère's Law in Integral Form

group Ampère's Law in Symmetric Situations

Ampère's Law for a Cylinder

Symmetry Arguments for Ampère's Law
Stokes' Theorem

Paraboloid Sequence: Stokes' Theorem
Differential Form of Ampère's Law

Magnetic Field and Current

Magnetic Field and Current, Version II

Finding Gradient, Divergence, and Curl in Curvilinear Coordinates

Finding Gradient, Divergence, and Curl in Curvilinear Coordinates, A

Finding Gradient, Divergence, and Curl in Curvilinear Coordinates, B
23 2/8 Wed
Magnetic Vector Potential
Product Rule
Integration by Parts
Second Derivatives
Laplace's Equation
Magnetic Field \(\vec{B}\) from Magnetic Vector Potential \(\vec{A}\)
GEM 5.4.1
24 2/9 Thurs
Biot Savart Law
25 2/10 Fri
Conductors

Electric Field for a Capacitor
Review

face Introduction to Static Fields

face Static Fields Review
26 ??
FINAL EXAM 7 PM
Exam Equation Sheet