Fall 2018 - MATH 151 D200
Calculus I (3)
Class Number: 4382
Delivery Method: In Person
Overview
-
Course Times + Location:
Sep 4 – Dec 3, 2018: Mon, Wed, Fri, 9:30–10:20 a.m.
Surrey -
Exam Times + Location:
Dec 11, 2018
Tue, 3:30–6:30 p.m.
Surrey
-
Instructor:
Zhaosong Lu
zhaosong@sfu.ca
1 778 782-7426
-
Prerequisites:
Pre-Calculus 12 (or equivalent) with a grade of at least A, 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 150, 154 or 157 may not take MATH 151 for further credit.
Description
CALENDAR DESCRIPTION:
Designed for students specializing in mathematics, physics, chemistry, computing science and engineering. Logarithmic and exponential functions, trigonometric functions, inverse functions. Limits, continuity, and derivatives. Techniques of differentiation, including logarithmic and implicit differentiation. The Mean Value Theorem. Applications of differentiation including extrema, curve sketching, Newton's method. Introduction to modeling with differential equations. Polar coordinates, parametric curves. Quantitative.
COURSE DETAILS:
Chapter 1 - Functions and Models
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
2.4 Precise Definition of a Limit
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
*Please Note: If you already purchased the package for Math 150 or 151 in Fall 2016, do not purchase again!*
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