Dive deeper into formal mathematical logic. Learn how to negate statements, form the converse and contrapositive, and use logical equivalence (iff) in HSC Mathematics Extension 2.
Master the logic, language, and techniques of advanced mathematical proofs, including proof by contradiction, inequalities, and further mathematical induction for the HSC Extension 2 syllabus.
Master the foundational algebraic techniques for proving inequalities in HSC Mathematics Extension 2. Learn how the simple property $x^2 \ge 0$ can solve the toughest problems.
Conquer advanced inequalities in HSC Mathematics Extension 2. Learn to apply the AM-GM inequality, geometric reasoning, the Squeeze Theorem, and calculus techniques.
Master the essential vocabulary of The Nature of Proof in HSC Mathematics Extension 2. Clear definitions and examples for every key term from contrapositive to induction.