# Spring 2021 - MATH 152 D300

## Overview

• #### Course Times + Location:

Mo, We, Fr 8:30 AM – 9:20 AM
REMOTE LEARNING, Burnaby

• #### Exam Times + Location:

Apr 22, 2021
12:00 PM – 3:00 PM
REMOTE LEARNING, 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:

This course will be delivered online. You are expected to have access to a reliable internet connection. You will need a computer from which you can download course materials and activities and watch live and/or recorded lectures and participate in live tutorials or workshops.

You will need a camera to take photographs of your work. A phone is acceptable.

Math 152 D300 Special Lectures:

How to apply:

Students seeking to participate in these special lectures must:
1) register in MATH152 Section D100 during the normal registration period;
2) complete a written application submitted to the Department of Mathematics (application form);
3) meet a minimum grade requirement of A in either MATH150 or MATH151.

Students selected for these special lectures (Section D300) will be notified prior to the start of term, and informed about the classroom location.

Topics covered

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

#### COURSE DELIVERY

•  Lecture: synchronous- lectures will be held at fixed times, on-line
•  Midterm(s): synchronous; date: TBA
•  Final exam: synchronous; date: TBA

• Midterm 1 15%
• Midterm 2 15%
• Final Exam 50%
• Assignments 10%
• Online Assignments 5%
• Clickers 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.

#### REQUIREMENTS:

**For these Math152 special lectures a grade of at least A is required in either MATH150 or MATH151, and special permission of the Department of Mathematics must be granted.

You cannot enroll in this course during the enrollment period. If you apply and are accepted you will be transferred from the D100 section to this section (D300) by the Math Department.**

## Materials

#### MATERIALS + SUPPLIES:

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

This package can also be purchased directly from the publisher (with free shipping) at the following link:

http://nelsonbrain.com/micro/SFU-math150_151_152_251

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

ISBN: 9781305597624