Finance & Growth
Simple & compound interest, decay, nominal rates, and annuity calculations.
Trigonometry
Identities, compound angles, sine and cosine rule.
Euclidean Geometry
Proportion theorems, similar triangles, and proofs.
Statistics
Regression, correlation and normal distribution.
Functions
Parabolas, hyperbolas, exponentials, inverses and logs.
Probability
Counting principles, permutations, combinations and events.
Circle Geometry
Chord theorems, angle at centre, cyclic quads and tangents.
Sequences & Series
Arithmetic and geometric patterns, sigma notation and quadratic sequences.
Analytical Geometry
Inclination angles, angle between lines, and two-circle problems.
Functions & Graphs
Quadratic, hyperbola, exponential and their transformations.
Trigonometry
Reduction formulae, solving equations, 2D problems.
Analytical Geometry
Lines, circles and distance on the Cartesian plane.
Probability
Counting principles, dependent and independent events.
Algebraic Expressions
Exponents, surds, factorisation and algebraic fractions.
Functions
Linear, quadratic, hyperbola and exponential functions.
Trigonometry Intro
Right-angled triangles, special angles, 2D applications.
Data Handling
Central tendency, histograms and box plots.
Calculus
Limits, derivatives, integrals and the fundamental theorem.
Linear Algebra
Vectors, matrices, determinants, eigenvalues and spaces.
Differential Equations
ODEs, separable equations, linear systems and Laplace transforms.
Probability & Stats
Distributions, hypothesis testing, confidence intervals.
Complex Analysis
Complex numbers, Argand plane, De Moivre and polar form.
Numerical Methods
Root finding, interpolation, numerical integration.