Multivariable Calculus
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Textbook: We will cover the material from Stewart's Essential Calculus, chapters 9-13. Here is a free textbook covering the same material: OpenStax Calculus 3
Office Hours: via Zoom, times TBA Here is the syllabus. Here is a Summary of the Course Content | ||
| Assignment | Due Date | Topics |
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Homework 1 Solutions |
Fri, Sept 1 |
Old Lecture Notes Parametrized Paths Introduction to Vectors Dot Product Equations of Lines and Planes |
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Homework 2 Solutions |
Fri, Sept 15 |
Old Lecture Notes Cross Product Lines and Planes in 3D Rules for Vectors Motion in Space, Newton's 2nd Law Gravity |
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Homework 3 Solutions |
Fri, Sept 29 |
Old Lecture Notes Scalar Fields Gradient Vectors Multivariable Chain Rule Linear Approximation Optimization |
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Exam 1: Wed, Oct 4 Solutions | ||
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Homework 4 Solutions |
Fri, Oct 20 |
Old Lecture Notes Double Integrals, Polar Coords Mass and Density Triple Integrals Cylindridal and Spherical Coords General Change of Coords |
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Homework 5 Solutions |
TBA |
Old Lecture Notes Integrating over Curves Integrating over Surfaces Surface Area Fundamental Theorem of Line Integrals Conservative Vector Fields |
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Homework 6 Solutions |
Mon, Nov 28 |
Old Lecture Notes Conservation of Energy Curl and Divergence in 2D and 3D Flux Integrals Green, Stokes, Gauss Bonus Notes on Physics |
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Exam 2: Fri, Dec 1 Solutions | ||
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Final Exam: Wed, Dec 13 Solutions | ||