Fall 2019 - MATH 150 D200
Calculus I with Review (4)
Class Number: 4055
Delivery Method: In Person
Course Times + Location:
Sep 3 – Dec 2, 2019: Mon, Wed, Fri, 8:30–9:20 a.m.
Exam Times + Location:
Dec 5, 2019
Thu, 3:30–6:30 p.m.
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.
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.
MATH150 consists of 3 hours of lecture and a 1 hour seminar each week.
Lectures contain both MATH151 and MATH150 students in the same room.
MATH 150 students must register for a 1 hour tutorial/seminar.
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
2.6 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
- Final Exam 50%
- Midterm 1 15%
- Midterm 2 15%
- Quizzes 8%
- Online Assignments 7%
- Seminar 5%
Calculus: Early Transcendentals, 8th Edition Textbook, by James Stewart, packaged with Multi-term Enhanced WebAssign [Text + EWA/eBook]
*Please Note: If you have purchased the above package within the last 5 years, do not purchase again!
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