Learning Resources

Home »  » Courses » Mathematics » Advanced Mathematics 3205 (delisted) » Unit 05

Organizers

  • Overview
  • 01 Probability and Quantifying the Outcomes (3 hours)

    • ILO 01 Focus A: Probability
    • ILO 02 Investigation 1: Simulations with Multiple Trials & Investigation 2: Simulating the "Meeting Problem"
    • ILO 03 Chapter Project - Will You Pass?

  • 02 Counting and Probability (6.5 hours)

    • ILO 01 Investigation 3: The Fundamental Counting Principle & Focus B: Applying the Fundamental Counting Principle to Probability
    • ILO 02 Investigation 4: Dependent and Independent Events
    • ILO 03 Investigation 5: Applying the Words "And" and "Or", Part I; Investigation 6: Applying the Words "And" and "Or", Part II; and, Focus C: The Addition Principle
    • ILO 04 Focus D: Area Models and Probability, Part I & Investigation 7: Area Models and Probability, Part II
    • ILO 05 Focus E: Calculating Conditional Probability &  Investigation 8: Conditional Probability and Tree Diagrams
    • ILO 06 Investigation 9: Conditional Probability and an Area Model(0.5 hours)
    • ILO 07 Chapter Project - Will You Pass?

  • 03 Combinations and Permutations (4 hours)

    • ILO 01 Investigation 10: Combinations and Permutations & Focus F: Factorial Notation
    • ILO 02 Investigation 11: Writing an Expression for Permutations
    • ILO 03 Focus G: Determining the Number of Possible Combinations
    • ILO 04 Chapter Project - Will You Pass?

  • 04 Combinations, Permutations, and Probability (1.5 hours)

    • ILO 01 Focus H: Applications to Probability

  • 05 Applying Probability and Combinations to the Binomial Expansion (2.5 hours)

    • ILO 01 Investigation 12: Constructing Pascal's Triangle & Investigation13:Pascal's Triangle and Combinations
    • ILO 02 Investigation 14: Pascal's Triangle and the Expansion of & Focus I: Raising Polynomials to Any Power
    • ILO 03 Chapter Project - Will You Pass?

  • 06 Binomial Probabilities (3.5 hours)

    • ILO 01 Investigation 15: Simulating the Driving School Situation & Focus J: A Theoretical Model for the Hiring Problem
    • ILO 02 Focus K: Probability and Binomial Experiments
    • ILO 03 Chapter Project - Will You Pass?

  • 07 Putting It Together

  • 08 Review/Practice