Module 0 — Precalculus

Prerequisite · not examined A refresher on the background material Modules I–V assume you already know — not part of the official 60 taught hours. Read whichever files cover the gaps in your own preparation, in any order, before or alongside Module I.

• Module 0a — Sets and Relations

  Sets, set operations, Venn diagrams, Cartesian product, relations, equivalence relations, order relations

• Module 0b — Functions

  Functions as relations, injective/surjective/bijective, composition, inverse functions, piecewise functions

• Module 0c — Real Numbers and Inequalities

  Number systems, intervals, linear/quadratic/rational inequalities, absolute value, triangle inequality

• Module 0d — Polynomial and Rational Functions

  Degree and end behaviour, factoring, Rational Root Theorem, multiplicity, vertical/horizontal asymptotes

• Module 0e — Exponential and Logarithmic Functions

  Laws of exponents, exponential functions, logarithms as inverses, log laws, solving exponential/log equations

• Module 0f — Trigonometry

  Angle measure, unit circle, trig graphs, identities, solving trig equations, inverse trig functions