Course Chapters
Click on any module below to start studying formulas and exam models.
Function →
Types of functions, composite functions, and inverse function calculations.
Polynomial →
Remainder theorem, factor theorem, synthetic division, and polynomial equations.
Linear Programming →
Optimization problems, graphing systems of linear inequalities, and finding max/min values.
Quadratic Equation →
Nature of roots, discriminant formulas, and forming quadratic systems from root properties.
Surds →
Simplifying pure and mixed surds, rationalizing denominators, and solving pure surd equations.
Matrix and Determinant →
Determinants, matrix inverses, identity rules, and system solving via Cramer's Rule.
Trigonometry →
Compound angles, multiple and sub-multiple proofs, and conditional identities.
Coordinate Geometry →
Angles between lines, condition for parallel/perpendicular lines, and pairs of lines equations.
Transformation →
Combined operations, custom non-origin centers $(h,k)$, matrix rules, and inversion circle geometry.
Vector →
Scalar/dot products, angles between vectors, and midpoint/section theorem proofs using vectors.
Statistics →
Quartile deviations, mean deviation from mean/median, and grouped standard deviation.
Continuity →
Left-hand limits, right-hand limits, and determining functional continuity at points.