Simon Fraser University
Engaging the World

Course Outlines

Spring 2021 - MATH 100 D200

Precalculus (3)

Class Number: 3630

Delivery Method: Remote

Overview

  • Course Times + Location:

    Jan 11 – Apr 16, 2021: Mon, Wed, Fri, 9:30–10:20 a.m.
    Burnaby

  • Exam Times + Location:

    Apr 22, 2021
    Thu, 12:00–3:00 p.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:

This course will be delivered online. You are expected to have access to a reliable internet connection. You will need a computer from which you can download course materials and activities and watch live and/or recorded lectures and participate in live tutorials or workshops.

You will need a camera to take photographs of your work. A phone is acceptable.



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

Course Delivery

  •  Lecture: synchronous- lectures will be held at fixed times, on-line
  •  Midterm(s): synchronous; date: TBA
  •  Final exam: synchronous; date: TBA

Grading

  • Quizzes 10%
  • Online Assignments 5%
  • Midterm Exams (2) 35%
  • 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.

REQUIREMENTS:

  • Access to strong and reliable internet.
  • Ability to scan documents (phone app acceptable)
  • Access to webcam and microphone (embedded in computer sufficient)

Materials

MATERIALS + SUPPLIES:

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

REQUIRED READING:

Registrar Notes:

ACADEMIC INTEGRITY: YOUR WORK, YOUR SUCCESS

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

TEACHING AT SFU IN SPRING 2021

Teaching at SFU in spring 2021 will be conducted primarily through remote methods. There will be in-person course components in a few exceptional cases where this is fundamental to the educational goals of the course. Such course components will be clearly identified at registration, as will course components that will be “live” (synchronous) vs. at your own pace (asynchronous). Enrollment acknowledges that remote study may entail different modes of learning, interaction with your instructor, and ways of getting feedback on your work than may be the case for in-person classes. To ensure you can access all course materials, we recommend you have access to a computer with a microphone and camera, and the internet. In some cases your instructor may use Zoom or other means requiring a camera and microphone to invigilate exams. If proctoring software will be used, this will be confirmed in the first week of class.

Students with hidden or visible disabilities who believe they may need class or exam accommodations, including in the current context of remote learning, are encouraged to register with the SFU Centre for Accessible Learning (caladmin@sfu.ca or 778-782-3112).