Mathematics (MATH) 265

Introduction to Calculus I (Revision 15)

MATH 265

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Delivery Mode: Individualized study online (with eTextbook)

Credits: 3

Area of Study: Science

Prerequisite: Math 30 or an equivalent pre-calculus math course is strongly recommended. Students should have a deep understanding of basic algebra and trigonometry.

Precluded Course: MATH 212 (MATH 265 may not be taken for credit if credit has already been obtained for MATH 212.)

Mathematics Diagnostic Assessment. This online test contains 70 questions that will help you assess your mathematical skills. Based on your score we will recommend which Athabasca University mathematics course you are likely ready to take successfully.

Faculty: Faculty of Science & Technology

Centre: Centre for Science

MATH 265 has a Challenge for Credit option.

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MATH 265 is an introductory calculus course covering real numbers, functions, continuity and limits, derivatives, curve sketching, optimization areas between curves, applications of the derivative, anti-derivatives, integrals, and areas.


  • Unit 1: Brief Review of Algebra and Trigonometry for Calculus
  • Unit 2: Functions
  • Unit 3: Limits
  • Unit 4: Differentiation
  • Unit 5: Applications of the Derivative
  • Unit 6: Integration
  • Unit 7: Applications of the Definite Integral

Learning Outcomes

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

  • demonstrate a foundational understanding of single variable calculus (I), with a focus on limits, differentiation, optimization, and anti-differentiation.
  • use single variable calculus methods for applied problem solving in various areas, with a focus on sciences.
  • apply background knowledge to pursue further learning in single variable calculus, including MATH 266 and other calculus-based courses.
  • communicate mathematical ideas and analyses in a clear and organized manner.


To receive credit for the course, you must submit all 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 5%
Assignment 2 10%
Assignment 3 10%
Midterm Exam 25%
Assignment 4 10%
Final Exam 40%
Total 100%

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

Course Materials


Registration in this course includes electronic textbooks. For more information on electronic textbooks, please refer to the eText Initiative site.

Stewart, James. Readings from Stewart: Single Variable Calculus, Fifth Edition: Custom Edition for MATH 265 Introduction to Calculus, Athabasca University. Scarborough, ON: Thomson Nelson, 2006.

MATH 265: Student Solution Manual to Accompany Introduction to Calculus. Scarborough, ON: Thomson Nelson, 2006.

Other Resources

All other learning resources will be available 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 265 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 15, July 7, 2016.

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