Multivariable Calculus

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
Homework 1
Solutions
Thurs, Jan 25 Old Lecture Notes
Parametrized Paths
Introduction to Vectors
Dot Product
Lengths and Angles
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
Homework 3
Solutions
Thurs, Feb 22 Old Lecture Notes
Scalar Fields
Gradient Vectors
Multivariable Chain Rule
Linear Approximation
Multivariable Optimization
Exam 1: Thurs, Feb 29
Solutions
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
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
Homework 6
Solutions
Tues, Apr 23 Old Lecture Notes
Conservative Vector Fields
Curl and Green's Theorem
Flux Integrals
Stokes' Theorem
Divergence Theorem
Exam 2: Thurs, Apr 25
Solutions
Final Exam: Wed, May 8, 11:00AM - 1:30PM
Solutions