HSC Year 12 Mathematics Extension 2 Proof
Course

HSC Year 12 Mathematics Extension 2 – Proof

1.1 Proof
1.2 Inequality Proofs by Mathematical Induction

21 Lessons

Course Materials

NATURE OF PROOF

Propositions

Negation

Conjunction

Disjunction

Exclusive Disjunction

Logical Equivalence

Truth Tables for Three Propositions

Implication of Propositions

Equivalence of Statements

Converse of Statements

Inverse of Statements

Contrapositive of Propositions

Valid Arguments

Arguments with Three Propositions

INEQUALITY PROOFS BY MATHEMATICAL INDUCTION

Proofs of Inequalities

Inequality Proofs

Inequality Proof using Differences

Inequality Proofs by Finding Initial Values

Inequality Proofs using Assumptions