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
|
Fri May 21
|
Parametrized Curves, Arc Length
Intro to Vectors
Vector Arithmetic, Dot Product
Equations of Lines and Planes
Summary of Vector Arithmetic
|
Quiz 1: Mon May 24
Solutions |
Homework 2
Solutions
|
Fri May 28
|
Parametrization of Lines and Planes
Motion in Space
Newton's Second Law
Kepler Orbits
|
Quiz 2: Tues June 1
Solutions |
Homework 3
Solutions
|
Mon June 7
|
Scalar Fields, Gradient Vectors
Gradients and Level Sets
Multivariable Chain Rule
Gradients and Optimization
|
Quiz 3: Tues June 8
Solutions |
Homework 4
Solutions
|
Mon June 14
|
Fundamental Theorems, Integration Over Rectangles
Integration in 2D, Polar Coordinates
Density, Center of Mass
Integration in 3D, Cylindrical and Spherical Coordinates
Integration Over a Tetrahedron
|
Quiz 4: Tues June 15
Review
Solutions |
Homework 5
Solutions
|
Tues June 22
|
Integrating Along a Curve
Conservation of Energy
Conservative Vector Fields
Green's Theorem
Flux and Surface Area
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Quiz 5: Wed June 23
Review
Solutions |
|
Bonus Content
|
|
Stokes and Divergence Theorems
Applications to Physics
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