Spring 2020 - MATH 100 D100

Precalculus (3)

Class Number: 3735

Delivery Method: In Person

Overview

  • Course Times + Location:

    Jan 6 – Apr 9, 2020: Mon, Wed, Fri, 8:30–9:20 a.m.
    Burnaby

  • Exam Times + Location:

    Apr 18, 2020
    Sat, 8:30–11:30 a.m.
    Burnaby

  • 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): 
The Real Line  
Algebra of the Real Numbers  
Inequalities, Intervals, Absolute Value

Functions: 
Functions  
The Coordinate Plane and Graphs  
Function Transformations and Graphs  
Composition of Functions  
Inverse Functions  
A Graphical Approach to Inverse Functions

Linear, Quadratic, Polynomial, and Rational Functions: 
Linear Functions and Lines  
Quadratic Functions and Conics  
Exponents  
Polynomials  
Rational Functions  

Exponential Functions, Logarithms, and e: 
Logarithms as Inverses of Exponentiation  
Applications of the Power Rule for Logarithms  
Applications of the Product and Quotient Rules for Logarithms  
Exponential Growth  
e and the Natural Logarithm  
Approximations and area with e and ln

Area

Trigonometric Functions: 
The Unit Circle  
Radians  
Cosine and Sine  
More Trigonometric Functions  
Trigonometry of Right Triangles  
Trigonometric Identities

Trigonometric Algebra and Geometry: 
Inverse Trigonometric Functions  
Using Trigonometry to Compute Area  
The Law of Sines and the Law of Cosines  
Double-Angle and Half-Angle Formulas  
Addition and Subtraction Formulas
Transformations of Trigonometric Functions

Grading

  • Class participation 5%
  • Online Homework 5%
  • Offline assignments & in-class 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.

This course has weekly Problem-Solving Clinics which everyone needs to attend

Materials

MATERIALS + SUPPLIES:

iClicker+
Möbius Assessment account for online assignments (register through Canvas with computing ID)

REQUIRED READING:

Precalculus: A Prelude to Calculus
3 / E
Sheldon Axler
Wiley

This text is available as a looseleaf print package available for purchase at the SFU Bookstore (ISBN 9781119334675)

or

as an e-text available for purchase through Vitalsource (ISBN 9781119321514) here:

https://www.vitalsource.com/en-ca/products/precalculus-a-prelude-to-calculus-sheldon-axler-v9781119321514

Registrar Notes:

SFU’s Academic Integrity web site http://www.sfu.ca/students/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