Day
Unit: Potentials Due to Discrete Charges
Introduction to the Unit
Learning Outcomes
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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
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Basic Calculus: Practice Exercises
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Derivative Rules
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Exponential and Logarithm Identities
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Properties of Logarithms and Exponents
The Distance Formula
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Graphs Involving the Distance Formula
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Parameters in Trigonometric Functions
Position Vector
2 1/10 Tues
Dot Product
Introduction to the Course
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face Introduction to Static Fields
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Introduction to Gradescope
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Obtain Plotting Software
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Syllabus and Schedule
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Using Canvas Discussions
Dimensions
Electrostatic & Gravitational Potential
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Potential vs. Potential Energy
Visualization of Potentials
Superposition
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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
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Power Series Practice
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Series Convergence
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Series Notation 1
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Series Notation 2
Power Series Approximations
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group Using Technology to Explore Power Series Approximations
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Approximating Functions with Taylor Series
More Power Series Information
Power Series Sensemaking
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assignment_ind Sensemaking from Graphs of Power Series I
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assignment_ind Sensemaking from Graphs of Power Series II
4 1/12 Thurs
Potential Due to a Pair of Charges: Limiting Cases
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Linear Quadrupole (w/ series)
Compare Series and Visualization
Unit: Integration in Curvilinear Coordinates
Introduction to the Unit
Learning Outcomes
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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
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Distance Formula in Curvilinear Coordinates
Curvilinear Basis Vectors
Representations of Vectors
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assignment_ind Representations of Vectors
Vector Differential
Scalar Line, Surface, Volume Elements
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Memorize Power Series
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Power Series Coefficients
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Memorization A, Power Series
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Power Series Coefficients A
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Memorization B, Power Series
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Power Series Coefficients B
8 1/18 Wed
Step Functions
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Spherical Shell Step Functions
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Theta Parameters
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Triangle Parameters B
Delta Functions
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Approximating a Delta Function with Isoceles Triangles
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Linear Charge Density
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Mass of a Slab
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Volume Charge Density
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Volume Charge Density, Version 2
9 1/19 Thurs
Densities
Total Charge
Proportional Reasoning
Use What You Know
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assignment_ind Introduction to Use What You Know
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face Charge on a Parabola
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group Surface Area of a Paraboloid
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Charge on a Spiral
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Cone Surface
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Helix
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Icecream Mass
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Sphere in Cylindrical Coordinates
Unit: Fields from Continuous Sources
Introduction to the Unit
Learning Outcomes
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face Unit Learning Outcomes: Fields from Continuous Sources
10 1/20 Fri
Introduction to the Lorentz Force Law
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assignment_ind Lorentz Force Law to Words
Vector Fields
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Vector Field Fit
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Vector Sketch (Curvilinear Coordinates)
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Vector Sketch (Rectangular Coordinates)
Electric Field Due to a Point Charge
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assignment_ind Electric Field of a Point Charge
Superposition for Electric Fields
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group Drawing Electric Field Vectors for Discrete Charges
11 1/23 Mon
Multipole Expansion
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assignment_ind Linear Quadrupole Follow-up
Electrostatic Potential in Curvilinear Coordinates
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Potential from a Cone
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Potential from a Finite Disk
12 1/24 Tues
Electric Fields from Continuous Charge Distributions
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Electric Field from a Rod
LO1
LO4
LO10
LO8
Limiting Cases
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Potential Due to a Ring of Charge--Limiting Cases
Other Continuous Sources
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Line Sources Using Coulomb's Law
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Potential for an Infinite Disk
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Differentials of One Variable
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Differentials of Two Variables
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Find Area/Volume from \(d\vec{r}\)
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Memorize \(d\vec{r}\)
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Differentials Quiz A
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Memorization A, \(d\vec{r}\)
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Differentials Quiz B
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Memorization B, \(d\vec{r}\)
Unit: $\vec{E}$ as a Gradient
Introduction to the Unit
Learning Outcomes
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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
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Differentials of Two Variables
Definition of Gradient
Properties of Gradient
Visualizing Gradient
Directional Derivatives
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Directional Derivative
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The puddle
Gradient in Curvilinear Coordinates
Electric Field Due to a Point Charge as a Gradient
GEM 2.1.1-2.1.2
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Line Sources Using the Gradient
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The Gradient for a Point Charge
Unit: Gauss's Law (Integral)
Introduction to the Unit
Learning Outcomes
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face Unit Learning Outcomes: Gauss's Law (Integral Form)
14 1/26 Thurs
Products of Vectors
Cross Product
Triple Product
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assignment_ind Cross Product Review
Vector Surface Elements
Flux Definition
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Flux I
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Flux II
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Flux III
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Flux through a Plane
Flux Calculation
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group Flux through a Paraboloid
15 1/27 Fri
Visualizing Flux
16 1/30 Mon
Gauss's Law in Integral Form
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group Gauss's Law in Symmetric Situations
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Gauss's Law
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Gauss's Law for a Rod inside a Cube
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Gauss's Law on a Cylindrical Shell
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Symmetry Arguments for Gauss's Law
Electric Field Lines
Big Quiz Opens
Unit: Divergence and Curl
Introduction to the Unit
Learning Outcomes
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face Unit Learning Outcomes: Divergence and Curl
17 1/31 Tues
Derivatives of Vector Fields
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assignment_ind Derivatives of Vector Fields
Definition of Divergence
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Divergence
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Divergence Estimate
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Redo
Visualization of Divergence
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Use What You Know on the Helix
18 2/1 Wed
Divergence Theorem
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Divergence Theorem on a Paraboloid (CAM Version)
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Divergence through a Prism
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Electric Field and Charge
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Gravitational Field and Mass
Differential Form of Gauss's Law
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Differential Form of Gauss's Law
19 2/2 Thurs
Circulation
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Circulation I
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Circulation II
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Vector Line Integrals
Curl
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group Visualization of Curl
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Curl
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Curl Estimate
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The Bathtub
Work
Curl-Free Vector Fields
20 2/3 Fri
Electrostatic Energy Due to Discrete Charges
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group Electrostatic Energy of Discrete Charges
Relationship of Fields
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group V, \(\vec{E}\), U, \(\vec{F}\)
Unit: Magnetic Fields
Introduction to the Unit
Learning Outcomes
Learning Outcomes
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face Unit Learning Outcomes: Magnetostatic Fields
21 2/6 Mon
Current Density
Total Current
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Current in a Wire
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Total Current, Circular Cross Section
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Total Current, Square Cross-Section
Lorentz Force Law
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group Lorentz Force and Work Done on a Rectangular Loop
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Force and Torque on a Current Loop
22 2/7 Tues
Ampère's Law
Ampère's Law in Integral Form
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group Ampère's Law in Symmetric Situations
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Ampère's Law for a Cylinder
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Symmetry Arguments for Ampère's Law
Stokes' Theorem
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Paraboloid Sequence: Stokes' Theorem
Differential Form of Ampère's Law
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Magnetic Field and Current
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Magnetic Field and Current, Version II
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Finding Gradient, Divergence, and Curl in Curvilinear Coordinates
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Finding Gradient, Divergence, and Curl in Curvilinear Coordinates, A
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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
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Electric Field for a Capacitor
Review
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face Introduction to Static Fields
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face Static Fields Review
26 ??
FINAL EXAM 7 PM
Exam Equation Sheet