# Fall 2020 - MATH 100 D200

## Overview

• #### Course Times + Location:

Mo, We, Fr 9:30 AM – 10:20 AM
REMOTE LEARNING, Burnaby

• #### Exam Times + Location:

Dec 17, 2020
8:30 AM – 11:30 AM
REMOTE LEARNING, Burnaby

Justin Chan
jhc34@sfu.ca
• #### 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.

The Real Line
Algebra of the Real Numbers
Inequalities, 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
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
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
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

• Online Homework 10%
• 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.

## Materials

#### MATERIALS + SUPPLIES:

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

Required:

• Ability to scan documents (phone app acceptable)

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

e-text is available through the SFU bookstore