# Fall 2019 - MATH 152 D100

## Overview

• #### Course Times + Location:

Mo, We, Fr 8:30 AM – 9:20 AM
SSCB 9201, Burnaby

• #### Exam Times + Location:

Dec 5, 2019
3:30 PM – 6:30 PM
RCB IMAGTH, Burnaby

• #### Prerequisites:

MATH 150 or 151; or MATH 154 or 157 with a grade of at least B.

## Description

#### CALENDAR DESCRIPTION:

Riemann sum, Fundamental Theorem of Calculus, definite, indefinite and improper integrals, approximate integration, integration techniques, applications of integration. First-order separable differential equations and growth models. Sequences and series, series tests, power series, convergence and applications of power series. Students with credit for MATH 155 or 158 may not take this course for further credit. Quantitative.

#### COURSE DETAILS:

Chapter 5 - Integrals
1. Areas and Distances
2. The Definite Integral
3. The Fundamental Theorem of Calculus
4. Indefinite Integrals
5. Substitution Rule

Chapter 6 -Applications of Integration
1. Areas between Curves
2. Volumes
3. Volumes by Cylindrical Shells
5. Average Value of a Function (optional)

Chapter 7 -Techniques of Integration
1. Integration by Parts
2. Trigonometric Integrals
3. Trigonometric Substitution
4. Integration of Rational Functions by Partial Fractions
5. Strategy for Integration
6. Integration Using Tables and Computer Algebra Systems
7. Approximate Integration
8. Improper Integrals

Chapter 8 - Further Applications of Integration
1. Arc Length
2. Area of a Surface of Revolution

Chapter 10 - Parametric Equations and Polar Coordinates
2. Calculus with Parametric Curves
4. Areas and Lengths in Polar Coordinates

Chapter 11 - Infinite Sequences and Series
1. Sequences
2. Series
3. The Integral Test and Estimates of Sums
4. The Comparison Tests
5. Alternating Series
6. Absolute Convergence and the Ratio and Root Tests
7. Strategy for Testing Series
8. Power Series
9. Representations of Functions as Power Series
10. Taylor and McLaurin Series
11. Applications of Taylor Polynomials

Chapter 9 - Differential Equations
1. Modeling with Differential Equations
2. Direction Fields
3. Separable Equations
4. Models for Population Growth

• Assignments and Quizzes 15%
• Midterm 1 15%
• Midterm 2 15%
• Final Exam 50%
• Online Assignments 5%

#### NOTES:

THE INSTRUCTOR RESERVES THE RIGHT TO CHANGE ANY OF THE ABOVE INFORMATION.
Students should be aware that they have certain rights to confidentiality concerning the return of course papers and t he posting of marks.
Please pay careful attention to the options discussed in class at the beginning of the semester.

## Materials

Calculus: Early Transcendentals, 8th Edition Textbook, by James Stewart, packaged with Multi-term Enhanced WebAssign [Text + EWA/eBook]

*Please Note: If you have purchased the above package within the last 5 years, do not purchase again!

ISBN: 9781305597624

#### Registrar Notes:

SFU’s Academic Integrity web site http://www.sfu.ca/students/academicintegrity.html is filled with information on what is meant by academic dishonesty, where you can find resources to help with your studies and the consequences of cheating.  Check out the site for more information and videos that help explain the issues in plain English.

Each student is responsible for his or her conduct as it affects the University community.  Academic dishonesty, in whatever form, is ultimately destructive of the values of the University. Furthermore, it is unfair and discouraging to the majority of students who pursue their studies honestly. Scholarly integrity is required of all members of the University. http://www.sfu.ca/policies/gazette/student/s10-01.html