# Mathematics (MATH) 266

## Introduction to Calculus II (Revision 8)

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.

Delivery Mode: Individualized study online

Credits: 3

Area of Study: Science

Prerequisite: MATH 265

Precluded course: MATH 212

Faculty: Faculty of Science & Technology

Centre: Centre for Science

MATH 266 has a Challenge for Credit option.

## Overview

MATH 266 continues the study of the calculus begun in MATH 265. The course focuses on definite integrals, which allow exact calculation of surface areas, volumes, the length of curves, and solutions of practical and theoretical problems.

## Outline

• Unit 1: Inverse Functions: Exponential, Logarithmic and Hyperbolic Functions
• Unit 2: Inverse Trigonometric and Hyperbolic Functions, L'Hopital's rule
• Unit 3: Techniques of Integration
• Unit 4: Applications of Integration
• Unit 5: Differential Equations
• Unit 6: Sequences and Series

## Learning Outcomes

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

• demonstrate a foundational understanding of single variable calculus (II), with a focus on integration, differential equations, sequences and infinite series, and applications.
• use single variable calculus methods for applied problem solving in various areas, with a focus on sciences.
• apply knowledge gained in course to pursue further learning in multivariable calculus, including MATH 365 and other calculus-based courses.
• communicate mathematical ideas and analyses in a clear and organized manner.

## Evaluation

To receive credit for the course, you must submit all eight course quizzes and four course assignments, and complete them to the satisfaction of your tutor. You must also achieve a grade of at least D (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
Quizzes (8) 12%
Assignment 1 10%
Assignment 2 6%
Assignment 3 8%
Assignment 4 10%
Midterm Exam 26%
Final Exam 28%
Total 100%

To get credit, students must submit all course work (8 quizzes, 4 assignments and 2 examinations), pass both examinations with at least 50 percent, and achieve a course composite grade of at least 50 percent.

The assignment and quiz schedule is as follows:

• Assignment 1—after Unit 2
• Assignment 2—after Unit 3
• Assignment 3—after Unit 5
• Assignment 4—after Unit 6
• Quiz 1 (Unit 1-I)—after Unit 1
• Quiz 2 (Unit 1-II)—after Unit 1
• Quiz 3 (Unit 2)—after Unit 2
• Quiz 4 (Unit 3)—after Unit 3
• Quiz 5 (Unit 4)—after Unit 4
• Quiz 6 (Unit 5)—after Unit 5
• Quiz 7 (Unit 6-I)—after Unit 6
• Quiz 8 (Unit 6-II)—after Unit 6
• Midterm Exam covers Units 1–4
• Final Exam covers Units 5 and 6

## Course Materials

### Textbook

Lyryx Learning. Calculus—Early Transcendentals: An Open Text. Adapted for Athabasca University Math 266—Calculus II, November 2017 Edition. Based on the original text by D. Guichard. Creative Commons License (CC BY-NC-SA). [online]

### Other Materials

The course materials include a study guide, and a student manual.

## 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 266 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 8, May 31, 2018.