Simon Fraser University
Engaging the World

Course Outlines

Fall 2021 - MATH 100 D400

Precalculus (3)

Class Number: 7857

Delivery Method: Remote

Overview

  • Course Times + Location:

    Sep 8 – Dec 7, 2021: Mon, Wed, Fri, 8:30–9:20 a.m.
    Burnaby

  • Exam Times + Location:

    Dec 19, 2021
    Sun, 7:00–10:00 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. 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. Students with credit for MATH 150 or 151 or 154 or 157 may not take MATH 100 for further credit. 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

  • 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.

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 FALL 2021

Teaching at SFU in fall 2021 will involve primarily in-person instruction, with approximately 70 to 80 per cent of classes in person/on campus, with safety plans in place.  Whether your course will be in-person or through remote methods will be clearly identified in the schedule of classes.  You will also know at enrollment whether remote course components will be “live” (synchronous) or at your own pace (asynchronous).

Enrolling in a course acknowledges that you are able to attend in whatever format is required.  You should not enroll in a course that is in-person if you are not able to return to campus, and should be aware 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.

Students with hidden or visible disabilities who may need class or exam accommodations, including in the context of remote learning, are advised to register with the SFU Centre for Accessible Learning (caladmin@sfu.ca or 778-782-3112) as early as possible in order to prepare for the fall 2021 term.