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IB Diploma Mathematics · Applications and Interpretation · SL and HL
IB Maths AI notes
39 short notes, one for each part of the course: key ideas, formulas, worked examples, common errors and quick questions to check yourself.
Topic 1 · Number and algebra
1.1 · SL and HL
Approximation, percentage error and standard form
Read →1.2 · SL and HLFinancial mathematics, loans and annuities
Read →1.3 · SL and HLArithmetic and geometric sequences in context
Read →1.4 · SL and HLExponents and logarithms
Read →1.5 · HL onlyComplex numbers in Cartesian, polar and exponential form
Read →1.6 · HL onlyMatrices and matrix algebra
Read →1.7 · HL onlyEigenvalues and eigenvectors
Read →Topic 2 · Functions
2.1 · SL and HL
Linear models and piecewise models
Read →2.2 · SL and HLQuadratic and cubic models
Read →2.3 · SL and HLExponential and sinusoidal models
Read →2.4 · SL and HLChoosing and evaluating models
Read →2.5 · HL onlyLogarithmic scales and linearising data
Read →2.6 · HL onlyTransformations of graphs and logistic models
Read →Topic 3 · Geometry and trigonometry
3.1 · SL and HL
Right-angled trigonometry, bearings and the sine and cosine rules
Read →3.2 · SL and HLVolume and surface area in context
Read →3.3 · SL and HLVoronoi diagrams
Read →3.4 · HL onlyVectors, scalar and vector products
Read →3.5 · HL onlyVector kinematics
Read →3.6 · HL onlyGraph theory and adjacency matrices
Read →3.7 · HL onlyMinimum spanning trees, Chinese postman and travelling salesman
Read →3.8 · HL onlyMatrix transformations
Read →Topic 4 · Statistics and probability
4.1 · SL and HL
Sampling and descriptive statistics
Read →4.2 · SL and HLCorrelation and regression
Read →4.3 · SL and HLProbability and the binomial distribution
Read →4.4 · SL and HLNormal distribution and chi-squared tests
Read →4.5 · HL onlyT-tests and confidence intervals
Read →4.6 · HL onlyThe Poisson distribution
Read →4.7 · HL onlyLinear combinations of random variables
Read →4.8 · HL onlyMarkov chains and transition matrices
Read →4.9 · HL onlyNon-linear regression and the coefficient of determination
Read →Topic 5 · Calculus
5.1 · SL and HL