W1 D1: Math Bits

Introduction to the Static Fields (Math Bits)

Course Lecture Notes
Key Request Form
Research Consent Form

Introduction to Static Fields (Physics)

Introduction to Static Fields

Unit: Integration in Curvilinear Coordinates

Unit Learning Outcomes: Integration and Differentiation in Curvilinear Coordinates

Vector Fields

Scalar and Vector Fields Intro Draw Vector Fields

GVC: Vector Fields for Mathematicians
GSF: Vector Fields for Physicists

Review: Vector Differential

Vector Differential--Rectangular
Vector Differential--Polar
Vector Differential--Curvilinear

GSF: The Vector Differential
GSF: Finding $d\vec{r}$ on Rectangular Paths
GSF: Other Coordinate Systems
GSF: Calculating $d\vec{r}$ in Curvilinear Coordinates

W1 D2: Math Bits

Components of Vectors with the Dot Product

Representations for Finding Components

Review: GSF: Curvilinear Coordinates
Review: GSF: Change of Coordinates
GSF: Orthonormal Basis Vectors
GEM 1.4

Work and Vector Line Integrals

Vector Line Integrals (Contour Map)

Use What You Know

Introduction to Use What You Know
Work from Wind on a Hamster Ball

GSF: Using $d\vec{r}$ on More General Paths
GSF: Use What You Know

W1 D3: Math Bits

Densities

Acting Out Charge Densities Modeling Nonuniform Density

GSF: Densities
GEM 2.1.4

HW 01 Practice (w/ Solution)
HW 01 Practice (pdf)
HW 01 (w/ Solution)
HW 01 (pdf)

Total Charge

Charge on a Parabola

GSF: Total Charge

W1 D4: Math Bits

Vector Cross Product

Cross Product Review

Triple Product

Vector Differential Area and Volume Elements

Vector Surface and Volume Elements
Surface Area of a Paraboloid (Vector)

GSF: Vector Surface Elements
GEM 1.3.1, 1.4

Total Charge

Total Charge: Spheres \& Cylinders

W1 D5: Math Bits

Delta Functions

Read After Class:
GMM: The Dirac Delta Function
GMM: Properties of the Dirac Delta Function
GMM: Representations of the Dirac Delta Function
GEM 1.5

HW 02 Practice (w/ Solution)
HW 02 Practice (pdf)
HW 02 (w/ Solution)
HW 02 (pdf)

Step Functions

Read After Class:
GMM: Step Functions
GEM 1.5.2
Video:
Step & Delta Functions

W2 D1

Unit: Potential Due to Discrete Charges

Unit Learning Outcomes: Potentials Due to Discrete Charges

Quiz 1
Quiz 1 (pdf)

Electrostatic & Gravitational Potential

GSF: Electrostatic and Gravitational Potentials and Potential Energies
GEM 2.3.4
GSF: Dimensions

$1/r$ vs. $1/r^2$

Review Distance Formula

Visualizing Potentials I

Drawing Equipotential Surfaces

Read After Class:
GSF: Visualization of Potentials

W2 D2

Superposition of Discrete Charges

Electrostatic Potential Due to a Pair of Charges (without Series)

Read After Class:
GSF: Superpositions from Discrete Sources
GSF: Two Point Charges
GEM 2.3.4

Visualizing Potentials (with Technology)

Using Technology to Visualize Potentials

Read After Class:
GSF: Using Technology to Visualize Potentials

W2 D3

Veterans Day (No Class)

W2 D4

Potential Due to a Pair of Charges: Limiting Cases

Electrostatic Potential Due to a Pair of Charges (with Series)

Read After Class:
GSF: Power Series for Two Point Charges

Unit: Potentials from Continuous Sources

Unit Learning Outcomes: Potential from Continuous Sources

Electrostatic Potential in Curvilinear Coordinates

Electrostatic Potential Due to a Ring of Charge

Read After Class:
GSF: Potentials from Continuous Charge Distributions
GSF: Potential Due to a Uniformly Charged Ring
GEM 2.3.4

W2 D5

Limiting Cases (V Ring)

HW 03 Practice (w/ Solution)
HW 03 Practice (pdf)
HW 03 (w/ Solution)
HW 03 (pdf)
HW 04 Practice (w/ Solution)
HW 04 Practice (pdf)
HW 04 (w/ Solution)
HW 04 (pdf)

W3 D1

Unit: Electric Field

Unit Learning Outcomes: Electric Fields, $\vec{E}(\vec{r})$

Quiz 2
Quiz 2 (pdf)

Electric Field Due to a Point Charge

Electric Field of a Point Charge

GSF: Electric Field of a Point Charge

Superposition for Electric Fields

Drawing Electric Field Vectors for Discrete Charges

Read After Class:
GSF: Superposition for the Electric Field
GSF: The Geometry of Electric Fields
GEM 2.2.1

W3 D2

Electric Fields from Continuous Charge Distributions

Electric Field Due to a Ring of Charge

Read After Class:
GSF: Electric Field from Continuous Charge Distributions
GSF: Electric Field Due to a Uniformly Charged Ring
GSF: The Electric Field of a Uniform Disk
GEM 2.1

Definition of Gradient

GSF: The Geometry of the Gradient
GSF: The Gradient in Rectangular Coordinates
GSF: Properties of the Gradient
GEM 1.2.2-1.2.3

Visualizing Gradient

Acting Out the Gradient
Visualising the Gradient

GSF: Visualizing the Geometry of the Gradient
GSF: Using Technology to Visualize the Gradient
GEM 1.2.2-1.2.3
Taylor 4.3, 4.8

Gradient in Curvilinear Coordinates

GSF: The Gradient in Curvilinear Coordinates
GSF: Formulas for Div, Grad, Curl

W3 D3

Electric Field Due to a Point Charge as a Gradient

GSF: Electric Field
GEM 2.1.1-2.1.2

HW 05 Practice (w/ Solution)
HW 05 Practice (pdf)
HW 05 (w/ Solution)
HW 05 (pdf)

W3 D4

Unit: Gauss's Law

Unit Learning Outcomes: Gauss's Law (Integral Form)

Flux Definition

Acting Out Flux

Read After Class:
GSF: Flux
GSF: Flux of the Electric Field
GEM 1.3.1, 2.2.1

Visualizing Flux

Visualizing Flux through a Cube

Read After Class:
GSF: Flux through a Cube

Flux Calculation

Flux through a Paraboloid

Read After Class:
GSF: Highly Symmetric Surfaces
GSF: Less Symmetric Surfaces

W3 D5

Gauss's Law in Integral Form

Gauss's Law in Symmetric Situations

Read After Class:
GSF: Gauss's Law
GSF: Gauss's Law and Symmetry
GSF: Gauss's Law for High Symmetry
GEM 2.2.3

HW 06 Practice (w/ Solution)
HW 06 Practice (pdf)
HW 06 (w/ Solution)
HW 06 (pdf)

W4 D1

Unit: Maxwell's Equations in Differential Form

Quiz 3
Quiz 3 (pdf)

Derivatives of Vector Fields

Definition of Divergence

Read After Class:
GSF: The Definition of Divergence
GEM 1.2.4

Visualization of Divergence

Read After Class:
GSF: Exploring the Divergence
GSF: Visualizing the Divergence

W4 D2

Divergence Theorem

GSF: The Divergence Theorem
GEM 1.3.4
Taylor 13.7

Divergence in Curvilinear Coordinates

Read After Class:
GSF: The Divergence in Curvilinear Coordinates
GSF: Exploring the Divergence in Polar Coordinates

Differential Form of Gauss's Law

GSF: Differential Form of Gauss's Law
GSF: The Divergence of a Coulomb Field
GEM 2.2.1-2.2.2

W4 D3

Unit: Magnetic Fields

Unit Learning Outcomes: Magnetic Fields

Current Density
Total Current

Read After Class:
GSF: Current
GEM 5.1.3, 5.2.2

Magnetic Vector Potential

Read After Class:
GSF: Magnetic Vector Potential
GEM 5.4.1

W4 D4

Thanksgiving (No Class)

W4 D5

Thanksgiving Break (No Class)

W5 D1

Product Rule
Integration by Parts
Second Derivatives
Laplace's Equation

GSF: Product Rules
GSF: Integration by Parts
GSF: Second Derivatives
GSF: Second Derivatives and Maxwell's Equations
GSF: The Laplacian
GEM 1.2.6-1.2.7, 1.3.6
GEM 2.3.3

Quiz 4
Quiz 4 (pdf)

W5 D2

Biot Savart Law

Read After Class:
GSF: The Biot-Savart Law
GSF: The Magnetic Field of a Straight Wire
GSF: The Magnetic Field of a Spinning Ring
GSF: Comparing $\vec{B}$ and $\vec{A}$ for a Spinning Ring
GEM 5.2.2

Curl

Read After Class:
GSF: The Geometry of Curl
GSF: The Definition of Curl
GSF: The Curl in Curvilinear Coordinates
GSF: Exploring the Curl II
GSF: Visualizing the Curl
GEM 1.2.5

W5 D3

Magnetic Field $\vec{B}$ from Magnetic Vector Potential $\vec{A}$

GEM 5.4.1

W5 D4

Ampère's Law in Integral Form

Read After Class:
GSF: Ampère's Law
GSF: Current in a Wire
GSF: Ampère's Law and Symmetry
GSF: Ampère's Law on Cylinders
GEM 5.3.3

Stokes' Theorem

GSF: Stokes' Theorem
GEM 1.3.5

Differential Form of Ampère's Law

GSF: Differential Form of Ampère's Law
GEM 5.3.3

Curl-Free Vector Fields

Read After Class:
GSF: Curl-Free Vector Fields
GEM 1.6.2
Taylor 4.4

W5 D5

Review

GSF: Learning Outcomes
GSF: The Relationship between $\vec{E}$, $V$, and $\rho$
GSF: The Relationship between $\vec{B}$, $\vec{A}$, and $\vec{J}$
GEM 2.3.5, 5.4.2
GEM 5.3.4

Topic/Day

Activities

Resources

Homework Due