Course curriculum

  • 1

    3.0A Introduction to Mathematical Induction (Ext 1)

    • Principle of Mathematical Induction

    • Example 1

    • Analogies

    • Example 2

    • Example 3

    • Exercise 3.0A

    • Exercise 3.0A Recorded Solutions
  • 2

    3.0B Other Mathematical Induction (Ext 1)

    • Divisibility Proofs

    • Example 1

    • A Note on Ext 1 Divisibility & When Can We Use Induction?

    • Example 2

    • Can We Prove a False Result?

    • Example 3

    • Example 4

    • Exercise 3.0B

    • Exercise 3.0B Recorded Solutions
  • 3

    3.1 Further Algebraic Induction Proofs

    • Initial Value and Step Not Equal to 1

    • Example 1

    • Sigma Notation

    • Example 2

    • Divisibility Proofs in Extension 2

    • Example 3

    • Inequality Proofs by Induction

    • Example 4

    • Exercise 3.1

    • Exercise 3.1 Recorded Solutions
  • 4

    3.2 Other Induction Proofs

    • 3.2 ex1

    • Lesson 3.2a

    • Lesson 3.2b

    • 3.2 ex4

    • 3.2 q4

    • 3.2 q5

    • 3.2 q6

    • 3.2 q3

    • 3.2 ex3

    • 3.2 ex2

    • 3.2 q9

    • 3.2 q7

    • 3.2 q8

    • 3.2 q12

    • 3.2 q11

    • 3.2 q10

    • Choosing a Method in Unusual Questions

    • Example 1

    • Example 2

    • Example 3

    • First Order Recursive Formula

    • Example 4

    • Exercise 3.2

    • Exercise 3.2 Recorded Solutions

Bonus Textbook

Download HSC Extension 2 Mathematics Textbook FREE

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Instructor

Steven Howard

Steve is a Mathematics Teacher at Cowra High School, a medium sized rural high school in Central West NSW, where he has taught for over 25 years. He has also taught gifted and talented students online through xsel and Aurora College. He has a particular love and passion for Mathematics Extension 2, writing his own textbook and study resources for the new syllabus, which you can access from any of his courses. He loves finding more efficient techniques for solving mathematical questions, by trawling through other teachers' solutions or making up his own approaches when there must be a better way. Steve did 4 Unit Mathematics as a student, gaining a mark of 198/200 and training as an actuary. Working in an office in the city wasn't for him, so he went back to uni to retrain as a maths teacher then headed to the country, where he lives in an owner built mud house, with chickens, goats and rescued native birds (which you will sometimes hear in his recordings)!!