Simon Fraser University
Engaging the World

Course Outlines

Spring 2015 - MATH 157 D200

Calculus I for the Social Sciences (3)

Class Number: 2717

Delivery Method: In Person

Overview

  • Course Times + Location:

    Jan 6 – Apr 13, 2015: Mon, Wed, Fri, 12:30–1:20 p.m.
    Surrey

  • Exam Times + Location:

    Apr 16, 2015
    Thu, 3:30–6:30 p.m.
    Surrey

  • Prerequisites:

    Pre-Calculus 12 (or equivalent) with a grade of at least B, or MATH 100 with a grade of at least C, or achieving a satisfactory grade on the Simon Fraser University Calculus Readiness Test.

Description

CALENDAR DESCRIPTION:

Designed for students specializing in business or the social sciences. Topics include: limits, growth rate and the derivative; logarithmic exponential and trigonometric functions and their application to business, economics, optimization and approximation methods; functions of several variables. Students with credit for either MATH 150, 151 or 154 may not take MATH 157 for further credit. Quantitative.

COURSE DETAILS:

Review

  • The Cartesian coordinate system  
  • Lines  
  • Functions and their graphs  
  • Transformations of functions  
  • Polynomial, rational, power, and absolute value functions  
  • The algebra of functions  
  • The inverse of a function  
  • The exponential and logarithmic functions  
  • Functions and mathematical models


Limits and Continuity   

  • Limits  
  • One-sided limits  
  • Continuity


Differentiation  

  • The derivative  
  • Basic rules of differentiation  
  • The product and quotient rules  
  • The chain rule  
  • Marginal functions in economics  
  • Visual differentiation  
  • Higher order derivatives  
  • Implicit differentiation and related rates   
  • Differentials and linear approximation  
  • The Newton-Raphson method  
  • Differentiation of exponential and logarithmic functions  
  • Exponential functions as mathematical models   
  • The trigonometric functions  
  • Inverse trigonometric functions  
  • Differentiation of trigonometric functions


Applications of Differentiation   

  • Applications of the first derivative  
  • Applications of the second derivative  
  • Curve sketching   
  • Optimization  
  • Optimization problems in business and the social sciences


Functions of Several Variables  

  • Graphing functions of two variables, level curves  
  • Partial Derivitaves
  • Local maxima and minima

Grading

  • Diagnostic Test 5%
  • Paper Homework 10%
  • Midterm 1 15%
  • Midterm 2 20%
  • 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.

Materials

REQUIRED READING:

Applied Calculus for the Managerial, Life and Social Sciences  
First Canadian Edition 2nd Reprint (Enhanced)  
Tan, Menz and Ashlock  
Nelson Education
ISBN: 9780176609955

Registrar Notes:

SFU’s Academic Integrity web site http://students.sfu.ca/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

ACADEMIC INTEGRITY: YOUR WORK, YOUR SUCCESS