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, Wed and Thurs 3-4pm Here is the syllabus. Here is a Summary of the Course Content | ||
| Assignment | Due Date | Topics |
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Homework 1 Solutions |
Thurs, Jan 25 |
Old Lecture Notes Parametrized Paths Introduction to Vectors Dot Product Lengths and Angles |
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Homework 2 Solutions |
Thurs, Feb 8 |
Old Lecture Notes Equations of Lines and Planes Cross Product Rules for Vector Arithmetic Motion in Space, Newton's 2nd Law |
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Homework 3 Solutions |
Thurs, Feb 22 |
Old Lecture Notes Scalar Fields Gradient Vectors Multivariable Chain Rule Linear Approximation Multivariable Optimization |
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Exam 1: Thurs, Feb 29 Solutions | ||
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Homework 4 Solutions |
Tues, Mar 26 |
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 |
Thurs, Apr 11 |
Old Lecture Notes Integrating over Curves Integrating over Surfaces Surface Area Fundamental Theorem of Line Integrals Conservation of Energy |
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Homework 6 Solutions |
Tues, Apr 23 |
Old Lecture Notes Conservative Vector Fields Curl and Green's Theorem Flux Integrals Stokes' Theorem Divergence Theorem |
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Exam 2: Thurs, Apr 25 Practice | ||
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Final Exam: Wed, May 8, 11:00AM - 1:30PM Practice | ||