All lecture notes will be posted here. I will refer to the free OpenStax textbook: Calculus Volume 3.
Office Hours: After each lecture.
Here is the syllabus.
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| Item |
Date |
Information |
Homework 1
Solutions
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Fri May 20
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Parametrized Curves, Arc Length
Intro to Vectors
Dot Product, Equations of Lines
Cross Product, Equations of Planes
Homework 1 Discussion
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Quiz 1: Mon May 23
Solutions |
Homework 2
Solutions
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Fri May 27
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Lines in Space
Parametrized Planes, Motion in Space
Motion in Space, Newton's 2nd Law
Summary of Vector Properties
Homework 2 Discussion
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Quiz 2: Tues May 31
Solutions
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Homework 3
Solutions
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Fri June 3
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Definition of Scalar Fields
Definition of Gradient Vectors
Multivariable Chain Rule
Optimization, Linear Approximation
Linear Approximation, Optimization
Homework 3 Discussion
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Quiz 3: Mon June 6
Solutions
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Homework 4
Solutions
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Fri June 10
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Double Integrals, Polar Coordinates
Double Integrals, General Coordinates
Center of Mass, Triple Integrals
Triple Integrals, Spherical Coordinates
Homework 4 Discussion
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Quiz 4: Mon June 13
Solutions
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Homework 5
Solutions
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Tues June 21
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Integration Over Curves and Surfaces
Projection, Work Done by a Force Field
Fundamental Theorem of Line Integrals
Conservative Vector Fields
Curl, Green, Stokes
Homework 5 Discussion
Bonus Lecture: Divergence, Gauss
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Quiz 5: Wed June 22
Solutions
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