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Module Overview

This week's material is mostly stuff from high school, but it may be worth watching even if you are familiar with the topics.  You will get to see how we plan to run this course and you will be able to refresh your memory regarding trigonometry.

Learning Outcomes

  • Sections 1.1 and 1.2 give us the basic definitions for functions.  They may clarify some small details that are often confused in a high school presentation.
  • Section 1.3 deals with inverses and talks a bit about logarithms.
  • Section 1.4 is trigonometry.  We introduce trigonometry from the beginning, using the Unit Circle (students from Windsor will know this method as the Winding Function).
PROJECT FILES
Type: Video Links
Title Author Description
Functions - Definition | Functions - Definition Shai Cohen
Functions - More Definitions and the VLT | Functions - More Definitions and the VLT Shai Cohen
Functions - Compositions | Functions - Compositions Shai Cohen
Functions Example - Domain of Functions | Functions Example - Domain of Functions Shai Cohen
Functions Example - Secant Lines 1 | Functions Example - Secant Lines 1 Shai Cohen
Functions Example - Piecewise Functions: The Floor Function | Functions Example - Piecewise Functions: The Floor Function Shai Cohen
Functions Example - Composite Functions 1 | Functions Example - Composite Functions 1 Shai Cohen
Functions Example - Composite Functions 2 | Functions Example - Composite Functions 2 Shai Cohen
Lecture - Secant Lines | Lecture - Secant Lines Shai Cohen
Lecture - Symmetry | Lecture - Symmetry Shai Cohen
Lecture - Piecewise Functions | Lecture - Piecewise Functions Shai Cohen
Transformation of Functions - Transformation of Functions 1 | Transformation of Functions 1 Shai Cohen
Transformation of Functions - Transformations of Functions 2 | Transformations of Functions 2 Shai Cohen
Transformation of Functions Example - Transforming Graphs 1 | Example - Transforming Graphs 1 Shai Cohen
Transformation of Functions Example - Transforming Graphs 2 | Example - Transforming Graphs 2 Shai Cohen
Inverse Functions - Introduction | Inverse Functions - Introduction Shai Cohen
Inverse Functions - Definition | Inverse Functions - Definition Shai Cohen
Inverse Functions - Details | Inverse Functions - Details Shai Cohen
Inverse Functions Example - Logarithms and Equations | Inverse Functions Example - Logarithms and Equations Shai Cohen
Inverse Functions Example - Inverse Functions: Complicated | Inverse Functions Example - Inverse Functions: Complicated Shai Cohen
Trigonometry - Setting the Stage | Trigonometry - Setting the Stage Shai Cohen
Trigonometry - Defining Angles | Trigonometry - Defining Angles Shai Cohen
Trigonometry - The Winding Function | Trigonometry - The Winding Function Shai Cohen
Trigonometry - New Functions | Trigonometry - New Functions Shai Cohen
Trigonometry - Inverse Functions | Trigonometry - Inverse Functions Shai Cohen
Trigonometry Example - Multiplying By Conjugates | Trigonometry Example - Multiplying By Conjugates Shai Cohen
Trigonometry Example - Solving Equations | Trigonometry Example - Solving Equations Shai Cohen
Trigonometry Example - Transforming Graphs - trig 1 | Trigonometry Example - Transforming Graphs - trig 1 Shai Cohen
Trigonometry Example - Transforming Graphs - trig 2 | Trigonometry Example - Transforming Graphs - trig 2 Shai Cohen
Trigonometry Example - Trigonometry and Inverses | Trigonometry Example - Trigonometry and Inverses Shai Cohen
Trigonometry Example - Inverse Trigonometry: Mixed Functions | Trigonometry Example - Inverse Trigonometry: Mixed Functions Shai Cohen