Overview
Mathematics 365: Multivariable Calculus is a level III calculus course. We extend the concepts of single variable calculus to real-valued functions of several variables and to vector-valued functions in a variety of coordinate systems, including Cartesian, polar, and spherical.
This course focuses on the development of the mathematical concepts and techniques involved in multivariable calculus. It includes a limited number of applications of multivariable calculus, such as real-world examples and physics applications, leaving you to learn about further applications on your own.
Learning outcomes
Upon successful completion of this course, you should be able to
- demonstrate a foundational understanding of multivariable calculus, with a focus on analytic geometry in 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.
- 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.
Evaluation
To receive credit for MATH 365, you must achieve a course composite grade of at least D (50 percent) and a grade of at least 50 percent on the midterm and on the final assessment. The weighting of the composite grade is as follows:
| Activity | Weight |
| Assignments 1–6 (5% each) | 30% |
| Quizzes 1–4 (2.5% each) | 10% |
| Midterm assessment | 25% |
| Final assessment | 35% |
| Total | 100% |
To learn more about assignments and examinations, please refer to Athabasca University’s online Calendar.
Materials
Digital course materials
Links to the following course materials will be made available in the course:
Stewart, J. (2016). Calculus (8th ed.). Cengage.
Other materials
The textbook’s interactive site, WebAssign, includes the interactive textbook along with tutorials, videos, animations, labs, practice examples, and practice exams. Graded assignments and quizzes are also found on the WebAssign site.