1. Algebraic Methods & Coordinate Geometry - Algebraic fractions, polynomial division, factor and remainder theorems, equation of a circle, tangent and chord properties 2. Exponentials, Logarithms & Binomial Expansion - Exponential functions, logarithm laws, solving logarithmic equations, Pascal’s triangle, factorial notation 3. Sequences and Series - Arithmetic and geometric sequences, sum to infinity, recurrence relations, sigma notation 4. Trigonometric Identities & Equations - Trigonometric ratios, identities, solving equations, exact values, angles in quadrants 5. Differentiation & Integration - Increasing and decreasing functions, stationary points, gradient sketching, definite integrals, areas under curves, trapezium rule 6. Exam Preparation & Reference - Review exercises, glossary, sample answers, index for quick reference