Mathematics (MATH) 265

Delivery mode:

Individualized study online with eText

Area of study:

Prerequisites:

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

Course start date:

If you are a:

  • Self-funded student: register by the 10th of the month, start on the 1st of the next.
  • Funded student: please check the next enrolment deadline and course start date .

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

MATH 265 has a challenge for credit option.

Faculty of Science and Technology

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.

Learning outcomes

Challenge for credit, important links.

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

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) .

Students requiring special accommodations should contact  Accessibility Services .

The weighting of the composite grade is as follows:

Activity Weight
Assignment 1 5%
Assignment 2 10%
Assignment 3 10%
Midterm Exam 25%
Assignment 4 10%
Final Exam 40%

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

Both the midterm and final are closed-book, short-answer, machine-marked exams in the Möbius online platform and are invigilated through ProctorU . Your exams must be requested in advance, and you must pay the ProctorU invigilation fees. You will have three (3) hours to complete each exam.

Information on exam request deadlines, invigilators, and other exam-related questions, can be found at the Exams and grades section of the Calendar.

Stewart, James.  Readings from Stewart: Single Variable Calculus, Fifth Edition: Custom Edition for MATH 265 Introduction to Calculus , Athabasca University. Scarborough, ON: Cengage, 2006. (eText)

MATH 265: Student Solution Manual to Accompany Introduction to Calculus . Scarborough, ON: Cengage, 2006. (eText)

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

Other Resources

All other learning resources will be available online.

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.

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.

Both parts of the challenge exam are closed-book, machine-marked exams in the M ö bius online platform and are invigilated through ProctorU. You will have three hours to complete each part.

Activity Weight
Part 1: Exam 50%
Part 2: Exam 50%
  • Academic advising
  • Program planning
  • Request assistance
  • Support services

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

Updated August 14, 2023

View previous revision

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  • Course Information
  • Introduction

Mathematics 265 Introduction to Calculus I

Study Guide :: Unit 1

Brief Review of Algebra and Trigonometry for Calculus

Minimum requirements.

Before you begin this course, you must, at the least, have a firm grasp of the concepts listed below.

  • points and lines
  • similar triangles
  • Pythagoras’ theorem
  • perimeters, areas and volumes of regular geometric figures
  • the real line
  • arithmetic operations: addition, subtraction, multiplication and division
  • addition, subtraction, multiplication and division of algebraic expressions
  • distributive law, factoring polynomials
  • completing a perfect square
  • quadratic formula
  • radicals and rationalization

Trigonometry

  • angles in radians
  • trigonometric functions
  • graphs of trigonometric functions
  • common values of trigonometric functions
  • trigonometric identities
  • laws of sine and cosine

The material presented in this unit is only a brief review of algebra and trigonometry, it is by no means a comprehensive treatment of what is required in this course; in each unit, we continue working on these prerequisites.

MAT 265: Calculus for Engineers I

Limits and continuity, differential calculus of functions of one variable, introduction to integration. Not open to students with credit in MAT 270.

Enroll requirements: Prerequisite(s): MAT 170 or 171 with C or better, OR Mathematics Placement Test with a score of 60% or higher; the Advanced Math Placement Test with a score of 38 or higher, OR ALEKS score of 76 or higher; Credit is allowed for only MAT 265 or MAT 270

ASU Catalog - MAT 265

The MAT 265  Week in Reviews  run weekly. Instructors will provide you the days, times and locations of the reviews.

Spring 2019 syllabus

(this may not be the syllabus used by your instructor, but gives students an idea of the course content and expectations).

Course Objectives

Mastery Practice

KiSS - Keeping in School Shape over break, helping you prepare for Calculus 2

Some Derivative Games

Course coordinator: David Polletta Online: Jay Abramson, David Polletta

Exam Reviews

Exam 1 Review
Exam 2 Review
Exam 3 Review
Final Exam Review
Mastery Exam Review

 Short Videos (targeting specific problems)

(1.2)Essential Functions1 -  2 -     
(1.3)Limits1 -  2 -     
(1.4)Calculating Limits1 -  2 -     
(1.5)Continuity1 -  2 -  3 -    
(1.6)Limits Involving Infinity1 -  2 -  3 -  4 -   
(2.1)Derivatives and Rates of Change1 -  2 -  3 -    
(2.2)Derivatives as Functions (Definition of a Derivative)1 -  2 -  3 -    
(2.3)Basic Differentiation Formulas1 -  2 -  3 -    
(2.4)Product and Quotient Rules1 -  2 -  3 -    
(2.5)Chain Rule1 -  2 -  3 -  4 -   
(2.6)Implicit Differentiation1 -  2 -  3 -    
(2.7)Related Rates1 -  2 -  3 -    
(2.8)Linear Approximation and Differentials1 -      
(3.1)Exponential Functions1 -  2 -     
(3.2)Inverse Functions and Logarithms1 -  2 -  3 -  4 -  5 - 
(3.3)Derivatives of Log and Exp Functions1 -  2 -  3 -    
(3.4)Exponential Growth and Decay1 -  2 -  3 -    
(3.5)Inverse Trig Functions1 -  2 -  3 -    
(3.7)L'Hospital's Rule1 -  2 -  3 -    
(4.1)Maximum and Minimum Values1 -  2 -     
(4.2)Mean Value Theorem1 -  2 -     
(4.3)Derivatives and Shapes of Graphs1 -  2 -  3 -    
(4.4)Curve Sketching1 -  2 -     
(4.5)Optimization Problems1 -  2 -  3 -    
(4.6)Newton's Method1 -      
(4.7)Antiderivatives1 -  2 -     
(5.1)Areas and Distances1 -  2 -     
(5.2)Definite Integrals1 -  2 -  3 -    
(5.3)Evaluating Definite Integrals1 -  2 -  3 -    
(5.4)Fundamental Theorem of Calculus1 -  2 -     
 

IMAGES

  1. Solved Math 265: Lesson 1 Assignment (1) Let ū= (3, -1), and

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  2. Math 265 Exam # 1: Practice exam with blank.

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  6. MATH 265 Lecture 1: MATH 265 LEC 1 FUNCTIONS

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COMMENTS

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  4. Introduction to Calculus I

    Overview. 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. Outline. Unit 1: Brief Review of Algebra and Trigonometry for Calculus.

  5. Solved Math 265: Lesson 1 Assignment (1) Let v= 3,−1 , and

    Question: Math 265: Lesson 1 Assignment (1) Let v= 3,−1 , and w= 1,2 . (a) Sketch the vectors v,w,v−w, and 2v+w. (b) Find a unit vector in the direction of v. (2) Let P=(2,4),Q=(−1,3),R=(3,8),S=(−6,6). Determine if the vectors PQ and RS are parallel. (3) A line in space passes through the points P=(4,0,1) and Q=(−2,3,5).

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  11. Solved Math 265: Lesson 1 Assignment (1) Let ū= (3, -1), and

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  12. Unit 1 :: MATH 265 Study Guide

    Mathematics 265 Introduction to Calculus I. Study Guide :: Unit 1. Brief Review of Algebra and Trigonometry for Calculus Minimum Requirements. Before you begin this course, you must, at the least, have a firm grasp of the concepts listed below. Geometry. points and lines; similar triangles; Pythagoras' theorem

  13. Solved Math 265: Lesson 1 Assignment (1) Let v = (3, -1 ...

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