AI HL Mathematics

Arithmetic sequences and series, Geometric sequences and series, Sigma notation, nth term from two given terms, Least n to exceed a bound, Sum to infinity and convergence, Logarithms to solve r^n = k, Modelling with imperfect data

Compound interest, Compounding frequency, Nominal and effective rates, Reducing balance depreciation, Straight line depreciation, Inflation and real value, Loans and amortization, Annuities and drawdown, Savings and investment plans, Perpetuities and convergence

Right-angled trigonometry, Angles of elevation and depression, Sine rule, Cosine rule, Area of a triangle, Ambiguous case of the sine rule, Bearings and back bearings, Three-dimensional geometry, Volume and surface area of solids, Arc length and sector area, Radian measure, Segments and chords, Unit circle and exact values, Quadrant signs, Pythagorean identity, Trigonometric equations on the GDC

Linear and quadratic models, Cubic models, Exponential growth and decay, Logarithmic models, Direct and inverse variation, Piecewise models, Logistic models, Fitting a model to data, Interpreting parameters in context, The modelling cycle