Spring 2018 - MATH 150 D200
Calculus I with Review (4)
Class Number: 3057
Delivery Method: In Person
Overview
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Course Times + Location:
Jan 3 – Apr 10, 2018: Mon, Wed, Fri, 11:30 a.m.–12:20 p.m.
SurreyJan 3 – Apr 10, 2018: Wed, 1:30–2:20 p.m.
Surrey -
Exam Times + Location:
Apr 17, 2018
Tue, 12:00–3:00 p.m.
Surrey
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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 B-, or achieving a satisfactory grade on the Simon Fraser University Calculus Readiness Test. Students with credit for either MATH 151, 154 or 157 may not take MATH 150 for further credit.
Description
CALENDAR DESCRIPTION:
Designed for students specializing in mathematics, physics, chemistry, computing science and engineering. Topics as for Math 151 with a more extensive review of functions, their properties and their graphs. Recommended for students with no previous knowledge of Calculus. In addition to regularly scheduled lectures, students enrolled in this course are encouraged to come for assistance to the Calculus Workshop (Burnaby), or Math Open Lab (Surrey). Quantitative.
COURSE DETAILS:
Chapter 1 - Functions and Models
1.1 Four ways to represent a function
1.2 Mathematical Models: A Catalogue of Essential functions
1.3 New Functions from Old Functions
1.4 Exponential Functions
1.5 Inverse Functions and Logarithms
Chapter 2 - Limits and Derivatives
2.1 Tangent and Velocity Problems
2.2 Limit of a Function
2.3 Calculating Limits Using the Limit Laws
2.5 Continuity
2.6 Limits at Infinity; Horizontal Asymptotes
2.7 Derivatives and Rates of Change
2.8 The Derivative as a Function
Chapter 3 - Differentiation Rules
3.1 Derivatives of Polynomials and Exponential Functions
3.2 Product and Quotient Rules
3.3 Derivatives of Trigonometric Functions
3.4 The Chain Rule
3.5 Implicit Differentiation
3.6 Derivatives of Logarithmic Functions
3.7 Rates of Change in the Natural and Social Sciences
3.8 Exponential Growth and Decay
3.8 Newton's Law of Cooling
3.9 Related Rates
3.10 Linear Approximations and Differentials
3.11 Hyperbolic Functions (Optional)
Chapter 4 - Applications of Differentiation
4.1 Maximum and Minimum Values
4.2 The Mean Value Theorem
4.3 How Derivatives Affect the Shape of a Graph
4.4 Indeterminate Forms and L'Hospital's Rule
4.5 Summary of Curve Sketching
4.7 Optimization Problems
4.8 Newton's Method
Chapter 10 - Parametric Equations and Polar Coordinates
10.1 Curves Defined by Parametric Equations
10.2 Calculus with Parametric Curves
10.3 Polar Coordinates
Grading
- Diagnostic Test and Calculus Support 5%
- Online Assignments 5%
- Quizzes 10%
- 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.
Materials
REQUIRED READING:
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
ISBN: 9781305597624
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