Learning Resources

Home »  » Courses » Mathematics » Advanced Mathematics 3207 (delisted) » Unit 03

Organizers

  • Overview
  • 01 Simple Rational Functions

    • ILO 01 Investigation 1: The Pressure and Volume Relationship for a Gas & Focus A - Functions of the Form
    • ILO 02 Investigation 2: Graphs of Quadratic Functions and Their Reciprocals
    • ILO 03 Chapter Project: Creating Art With Mathematics

  • 02 Rational Functions and Asymptotes

    • ILO 01 Investigation 3: Discontinuities and Vertical Asymptotes
    • ILO 02 Focus B: Limits at Infinity for Some Rational Functions
    • ILO 03 Focus C: End Behaviour and Oblique Asymptotes
    • ILO 04 Chapter Project: Creating Art With Mathematics

  • 03 Solving Rational Equations

    • ILO 01 Focus D: Simplifying Rational Expressions
    • ILO 02 Focus E: Solving Rational Equations With Algebra
    • ILO 03 Focus F: Analysis of Rational Functions
    • ILO 04 Focus G: Rational Inequalities

  • 04 Irrational Functions

    • ILO 01 Investigation 4: The square-Root Function & Focus H: Irrational Functions and Inverses
    • ILO 02 Investigation 5: Square- Root Functions and Discontinuities
    • ILO 03 Focus I: Irrational equations

  • 05 Absolute-Value Functions

    • ILO 01 Focus J: A Review of Absolute-Value
    • ILO 02 Investigation 6: The Graph of
    • ILO 03 Focus K: Absolute-Value and Inequalities
    • ILO 04 Chapter Project: Creating Art With Mathematics

  • 06 Piecewise Functions

    • ILO 01 Investigation 7: Piecewise Functions

  • 07 Modeling with Exponential and Logarithmic Functions

    • ILO 01 Focus L: Compound Interest and a New Look at Exponential Functions
    • ILO 02 Investigation 8: Continuous Interest and the Function y = ex
    • ILO 03 Investigation 9: Looking Inside the Box: Properties of the Function y = ex  & Investigation 10: The Derivative of y = ex 
    • ILO 04 Focus M: The Function y = ln x 
    • ILO 05 Chapter Project: Creating Art With Mathematics

  • 08 Putting it Together

  • 09 Review and Practice