Before diving into the AIHL course, it's essential to build a strong foundation. This module covers the prerequisite skills that …
Arithmetic and geometric sequences, sigma notation, financial applications and time value of money.
Introduction to functions, domain and range, inverses, graphing and systems of equations.
Linear, quadratic, exponential, cubic and sinusoidal models with GDC applications.
3D trigonometry, sine and cosine rules, radians, unit circle and sector calculations.
Exponential expressions, logarithms, log laws and logarithmic scales.
Transformations, curve fitting, linearisation and regression analysis.
Voronoi diagrams, perpendicular bisectors, nearest neighbour interpolation.
Introduction to differentiation, power rule, tangents, normals and optimisation.
Anti-derivatives, trapezium rule and integrals as accumulation.
Data types, central tendency, dispersion, histograms and regression.
Chain rule, product/quotient rules, related rates, concavity and stationary points.
Tree diagrams, Venn diagrams, two-way tables and conditional probability.
Discrete random variables, binomial and normal distributions.
Chi-squared tests, t-tests and Spearman's rank correlation.
Advanced hypothesis testing, confidence intervals and error analysis.