Mathematics: Applications and Interpretation revision.

What you can use

Read topic notes, review flashcards and attempt original practice questions. Compare your written answers with suggested markschemes and solutions. Relevant quantitative lessons include equation references.

Choose your study level inside the workspace. HL extensions are labelled and filtered by level.

Topics and guidance

• Accuracy, units and scientific notation
• Arithmetic sequences and sums
• Geometric growth and financial models
• Indices, logarithms and growth time
• Complex numbers and polar form · HL
• Matrices and transformations · HL
• Functions, domains and inverses
• Linear and quadratic modelling
• Exponential and logarithmic models
• Sinusoidal models and transformations
• Power, logistic and nonlinear models · HL
• Coordinates, distance and three-dimensional geometry
• Trigonometry, bearings and sectors
• Voronoi diagrams and spatial decisions
• Vectors, lines and scalar products · HL
• Graphs, networks and Euler routes · HL
• Shortest paths, spanning trees and route bounds · HL
• Sampling, data types and descriptive statistics
• Correlation, regression and rank association
• Probability, conditional probability and independence
• Discrete random variables and binomial models
• Normal distributions and standardized values
• Chi-squared and two-sample t procedures
• Poisson, continuous distributions and linear combinations · HL
• Inference, paired samples and confidence intervals · HL
• Derivatives and rates of change
• Optimization and motion
• Integration, area and accumulation
• Advanced differentiation and integration · HL
• Differential equations, slope fields and Euler method · HL
• Markov chains and long-run states · HL
• Technology, modelling and the mathematical exploration
• Eigenvalues, eigenvectors and diagonalization · HL
• Vector products, components and vector motion · HL
• Coupled equations, phase portraits and second-order models · HL

Coverage and course references

The five main strands of the first-assessment-2021 Mathematics AI course are represented, including explicit HL lessons and modelling/exploration. This original library is not certified statement-by-statement complete.

Check the detailed course map and assessment references for the specification covered. Later exam sessions may use a revised syllabus. Notes and practice have not been independently verified throughout.

Official IB course reference →