Help
This course has an assignment that is due by 11:55 pm Central Standard Time on Wednesday night of the first week of class.  Failure to complete this assignment will result in your removal from the course for non-participation. 

Course Special Requirements

Calculator. It is recommended that students have a graphing calculator.

Textbooks

Access to WebAssign is required for the course, but not a printed text book.  If you purchase a used copy of the textbook, you will still have to purchase a WebAssign Access Code separately.  Access to WebAssign can be purchased from the CMU Book Store or online with a credit card.

Calculus Early Transcendentals, 8th Edition, Stewart,James. Cengage (2016)

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WebAssign, Online Learning Environment, Cengage

There are two different purchasing options for this book. You can bundle it with a print copy or you can just purchase the WebAssign online access with an etext. 

  1. (recommended) Webassign Access only (comes with etextbook): ISBN 13: 978-1-337-77147-4

 OR

  1. Webassign Access + looseleaf copy of the textbook ISBN: 978-1-305-61669-1

Class Key and Instructions will be provided on the syllabus when the course opens!

Course Description

5 hours. The calculus of several variables, solid analytic geometry, and series. Prerequisite: MA209

Course Objectives

Upon successful completion of this class, students will be able to:

  • Describe lines and planes using vectors in two and three dimensions.
  • Describe curves in space using vector functions.
  • Describe the motion of objects in space with vector-valued functions
  • Apply basic ideas of differential calculus to functions of several variables, including finding partial derivatives, tangent planes, directional derivatives, maximum and minimum values, etc.
  • Extend the basic ideas of integral calculus to functions of two and three variables using double and triple integrals.
  • Apply double and triple integrals to find volumes, surface areas, masses, and centroids of solid regions.
  • Compute line and surface integrals.
  • Solve applied problems in the sciences using line and surface integrals.

Draw connections between line and surface integrals and single, double, and triple integrals through the higher-dimensional versions of the Fundamental Theorem of Calculus: Green’s Theorem, Stokes’ Theorem, and the Divergence Theorem