IB Mathematics: Applications and Interpretation
Unit 1 — Numbers, Approximation and the GDC
Unit 2 — Exponents and Logarithms
Unit 3 — Sequences and Series
Unit 4 — Financial Mathematics
Unit 5 — Complex Numbers
Unit 6 — Matrices
Unit 7 — Eigenvalues and Eigenvectors
Unit 8 — Linear Functions and Models
Unit 9 — Functions
Unit 10 — Modelling with Functions
Unit 11 — Transformations of Graphs
Unit 12 — Further Models
Unit 13 — Geometry and Trigonometry
Unit 14 — Voronoi Diagrams
Unit 15 — Radians and the Unit Circle
Unit 16 — Matrix Transformations
Unit 17 — Vectors
Unit 18 — Vector Kinematics
Unit 19 — Graph Theory
Unit 20 — Graph Algorithms
Unit 21 — Statistics
Unit 22 — Correlation and Regression
Unit 23 — Non-Linear Regression and Logarithmic Scales
Unit 24 — Probability
Unit 25 — Probability Distributions
Unit 26 — Hypothesis Testing
Unit 27 — Random Variables and Estimation
Unit 28 — The Poisson Distribution
Unit 29 — Hypothesis Testing for Parameters
Unit 30 — Markov Chains
Unit 31 — Introduction to Differentiation
Unit 32 — Applications of Differentiation
Unit 33 — Integration
Unit 34 — Further Differentiation
Unit 35 — Further Integration
Unit 36 — Kinematics
Unit 37 — Differential Equations
Unit 38 — Coupled Systems and Phase Portraits

IB Mathematics: Applications and Interpretation

Course notes for SL and HL

These notes follow the IB Diploma Programme course Mathematics: Applications and Interpretation (SL and HL). Each section explains one idea, works through examples step by step, and ends with about ten practice questions. Every solution is hidden until you click it — try the question first.

How to read the labels

SL 1.4 — content for both SL and HL students
AHL 1.12 — HL only (Additional Higher Level)
Extension — beyond the syllabus; read it if you are curious

Units in a suggested order

SL students need Year 1 only. Units marked HL only are for HL students.

Year 1 — Term 1

Year 1 — Term 2

Year 1 — Term 3

Year 1 — Term 4

Year 2 — Term 1 (HL)

Unit 5 — Complex Numbers HL only
Unit 6 — Matrices HL only
Unit 7 — Eigenvalues and Eigenvectors HL only
Unit 11 — Transformations of Graphs HL only
Unit 12 — Further Models HL only
Unit 23 — Non-Linear Regression and Logarithmic Scales HL only

Year 2 — Term 2 (HL)

Unit 15 — Radians and the Unit Circle HL only
Unit 16 — Matrix Transformations HL only
Unit 17 — Vectors HL only
Unit 18 — Vector Kinematics HL only
Unit 19 — Graph Theory HL only
Unit 20 — Graph Algorithms HL only

Year 2 — Term 3 (HL)

Unit 34 — Further Differentiation HL only
Unit 35 — Further Integration HL only
Unit 36 — Kinematics HL only
Unit 37 — Differential Equations HL only
Unit 38 — Coupled Systems and Phase Portraits HL only
Unit 27 — Random Variables and Estimation HL only
Unit 28 — The Poisson Distribution HL only
Unit 29 — Hypothesis Testing for Parameters HL only
Unit 30 — Markov Chains HL only