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Extension 2 · Year 12 · Module 11

The Nature of Proof

Logic and quantifiers, proof by contradiction, classical inequalities (triangle, AM–GM, Cauchy–Schwarz), and the full toolkit of mathematical induction including inequality, divisibility, series, geometric and strong induction.

14lessons
MEX-P1, P2NESA outcomes
7–9hrs study
Start Lesson 1 →
1
The Language of Proof
2
Proof by Contradiction
3
Inequalities & Triangle Inequality
4
AM–GM Inequality
5
Inequalities with Positive Reals
6
Cauchy–Schwarz Inequality
7
Induction — Structure & Review
8
Inequality Induction
9
Divisibility Induction
10
Series Induction
11
Geometric & Combinatorial Induction
12
Strong Induction
13
Mixed Proof Techniques
14
Module 11 Synthesis & Exam Technique