# Spring 2020 - MATH 158 E100

## Overview

• #### Course Times + Location:

Mo 4:30 PM – 5:20 PM
SSCB 9201, Burnaby

We 4:30 PM – 6:20 PM
SSCB 9200, Burnaby

• #### Exam Times + Location:

Apr 17, 2020
7:00 PM – 10:00 PM
WMC 3520, Burnaby

• #### Instructor:

Petra Menz
pmenz@sfu.ca
1 778 782-3070
• #### Prerequisites:

MATH 150 or 151 or 154 or 157.

## Description

#### CALENDAR DESCRIPTION:

Designed for students specializing in business or the social sciences. Topics include: theory of integration, integration techniques, applications of integration; functions of several variables with emphasis on double and triple integrals and their applications; introduction to differential equations with emphasis on some special first-order equations and their applications; sequences and series. Students with credit for MATH 152 or 155 may not take MATH 158 for further credit. Quantitative.

#### COURSE DETAILS:

Topics Covered:

• Antiderivatives
• Definite and indefinite integrals
• The Fundamental Theorem of Calculus
• Integration techniques: substitution, powers of trigonometric functions, integration by parts, partial fraction method,
• Applications of integration: numerical integration, improper integrals, average value, area and volume
• Multi-variable functions: double and triple integrals
• Differential equations: separable DEs, first order linear DEs, simple models, slope field, Euler's Method
• Sequences and Series: integral test, alternating series, comparison test, absolute and conditional convergence, ratio and root tests, power series and polynomial approximation
• Applying qualitative analysis to business and economics models

• Instructor Questions (best 5 out of 6) 10%
• Online Questions (OQ0-OQ12) 10%
• Unit Tests (best 5 out of 6) 30%
• Final Exam 50%

#### 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 the posting of marks.
Please pay careful attention to the options discussed in class at the beginning of the semester.
Quantitative