Mathematics (MATH) 365

Multivariable Calculus (Revision 6)

MATH 365 course cover

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Delivery Mode: Individualized Study Online

Credits: 3

Area of Study: Science

Prerequisite: MATH 266

Centre: Centre for Science

MATH 365 has a Challenge for Credit option.

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In MATH 365: Multivariable Calculus, is designed to introduce students to practical applications of calculus to problems in two and three dimensions, and to a theoretical understanding of some aspects of calculus in higher dimensions.


  • Unit 1: Analytic Geometry in Calculus
  • Unit 2: Three-dimensional Space; Vectors
  • Unit 3: Vector-valued Functions
  • Unit 4: Partial Derivatives
  • Unit 5: Multiple Integrals
  • Unit 6: Topics in Vector Calculus

Learning Outcomes

Upon successful completion of this course, you will be able to

  • demonstrate a foundational understanding of multivariable calculus, with a focus on analytic geometry, two- and three-dimensional space, vectors, partial derivatives and multiple integrals.
  • use multivariable calculus methods for applied problem solving in various areas, with a focus on sciences.
  • develop background knowledge to pursue further learning in complex variables, including MATH 366 and other calculus-based courses.
  • communicate mathematical ideas and analyses in a clear and organized manner.


To receive credit for MATH 365, you must submit all of the course assignments and complete them to the satisfaction of your tutor. You must also achieve a grade of at least 50 percent on each examination, and a course composite grade of at least D (50 percent). The weighting of the composite grade is as follows:

Activity Weighting
Assignment 1 10%
Assignment 2 10%
Assignment 3 15%
Midterm Examination 30%
Final Examination 35%
Total 100%

To learn more about assignments and examinations, please refer to Athabasca University's online Calendar.

Course Materials


Anton, H., Bivens, I. & Davis, S. (2012). Selected Chapters from Anton, Bivens, Davis: Calculus Early Transcendentals Combined, 10th Edition and Anton: Multivariable Calculus, 10th Edition. A Wiley Canada Custom Publication for Athabasca University MATH 365. Mississauga, ON: Wiley Canada Custom Service.

Other materials

Students will access all other course materials online.

Challenge for Credit Overview

The Challenge for Credit process allows you to demonstrate that you have acquired a command of the general subject matter, knowledge, intellectual and/or other skills that would normally be found in a university-level course.

Full information about Challenge for Credit can be found in the Undergraduate Calendar.

Challenge Evaluation

To receive credit for the MATH 365 challenge registration, you must complete the two parts of the challenge exam and achieve a minimum grade of at least D (50 percent) on both parts. The two parts of the exam must be written on the same day, or on two consecutive days.

Activity Weighting
Part 1: Exam 50%
Part 2: Exam 50%
Total 100%

Undergraduate Challenge for Credit Course Registration Form

Athabasca University reserves the right to amend course outlines occasionally and without notice. Courses offered by other delivery methods may vary from their individualized-study counterparts.

Opened in Revision 6, August 12, 2013

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