Fall 2017 - MATH 100 D200
Precalculus (3)
Class Number: 1293
Delivery Method: In Person
Overview
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Course Times + Location:
Sep 5 – Dec 4, 2017: Mon, Wed, Fri, 9:30–10:20 a.m.
Surrey -
Exam Times + Location:
Dec 8, 2017
Fri, 8:30–11:30 a.m.
Surrey
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Prerequisites:
Pre-Calculus 11 or Foundations of Mathematics 11 (or equivalent) with a grade of at least B or Pre-Calculus 12 (or equivalent), with a grade of at least C and SFU FAN credit, or SFU FAN X99 course with a grade of at least B-, or achieving a satisfactory grade on the Simon Fraser University Quantitative Placement Test. Students with credit for MATH 150 or 151 or 154 or 157 may not take MATH 100 for further credit. MATH 100 may not be counted towards the mathematics minor, major or honours degree requirements.
Description
CALENDAR DESCRIPTION:
Designed to prepare students for first year Calculus courses. Topics include language and notation of mathematics; problem solving; algebraic, exponential, logarithmic and trigonometric functions and their graphs. Quantitative.
COURSE DETAILS:
Pre-reading (read prior to start of classes):
0.1 The Real Line
0.2 Algebra of the Real Numbers
0.3 Inequalities, Absolute Value
Functions:
1.1 Functions
1.2 The Coordinate Plane and Graphs
1.3 Function Transformations and Graphs
1.4 Composition of Functions
1.5 Inverse Functions
1.6 A Graphical Approach to Inverse Functions
Linear, Quadratic, Polynomial, and Rational Functions:
2.1 Linear Functions and Lines
2.2 Quadratic Functions and Parabolas
2.3 Exponents
2.4 Polynomials
2.5 Rational Functions
Exponential Functions, Logarithms, and e:
3.1 Logarithms as Inverses of Exponentiation
3.2 Applications of the Power Rule for Logarithms
3.3 Applications of the Product and Quotient Rules for Logarithms
3.4 Exponential Growth
3.5 e and the Natural Logarithm
3.6 Approximations and area with e and ln
Appendix A: Area
Trigonometric Functions:
4.1 The Unit Circle
4.2 Radians
4.3 Cosine and Sine
4.4 More Trigonometric Functions
4.5 Trigonometry of Right Triangles
4.6 Trigonometric Identities
Trigonometric Algebra and Geometry:
5.1 Inverse Trigonometric Functions
5.3 Using Trigonometry to Compute Area
5.4 The Law of Sines and the Law of Cosines
5.5 Double-Angle and Half-Angle Formulas
5.6 Addition and Subtraction Formulas
Applications of Trigonometry:
6.1 Transformations of Trigonometric Functions
Grading
- Assignments/Quizzes 10%
- LON-CAPA Assignments 5%
- Midterm 1 17.5%
- Midterm 2 17.5%
- 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:
Precalculus: A Prelude to Calculus
Edition: 2 / E
Author(s): Sheldon Axler
Publisher: Wiley
Year: 2012
ISBN: 9780470648049
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