Sets & Logic in Specialist Mathematics VCE

This topic explores formal logic, set theory, and their applications in mathematical reasoning.

Content Covered

• Set notation & operations: Union, intersection, complement, and Cartesian products

• Propositional logic: Truth tables, logical connectives, and implications

• Boolean algebra: Simplifying logical expressions and circuits

• Proof techniques: Direct proof, contradiction, and mathematical induction

• Applications: Logic gates, decision-making, and algorithm design

Main Topics Assessed

• Using set notation and operations to solve problems

• Constructing and analyzing truth tables

• Applying Boolean algebra to simplify expressions

• Understanding proof techniques in mathematical reasoning