Summer 2016 - MATH 157 D100
Calculus I for the Social Sciences (3)
Class Number: 1758
Delivery Method: In Person
Overview
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Course Times + Location:
May 9 – Aug 8, 2016: Mon, Wed, Fri, 11:30 a.m.–12:20 p.m.
Burnaby -
Exam Times + Location:
Aug 15, 2016
Mon, 12:00–3:00 p.m.
Burnaby
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Instructor:
Jonathan Jedwab
jed@sfu.ca
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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%
- Assignments/Quizzes 9%
- Online Homework 6%
- Midterm 1 15%
- Midterm 2 15%
- 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
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 contains information on what is meant by academic dishonesty and where you can find resources to help with your studies. There is also a section on tutoring.
ACADEMIC INTEGRITY: YOUR WORK, YOUR SUCCESS