Online Textbooks for Analysis & Approaches and Applications & Interpretation
Concepts, proofs, and analytical thinking. Ideal for students pursuing mathematics, physics, or engineering.
Sequences, series, binomial theorem, proof by induction
Domain/range, transformations, inverse, composite, modelling
Radians, unit circle, identities, sine/cosine rules, 3D trig
Descriptive stats, distributions, regression, hypothesis testing
Differentiation, integration, areas, optimization, kinematics
Cartesian & polar form, de Moivre, roots of unity
Partial fractions, proof, systems of equations, row reduction
Scalar/vector products, lines & planes, intersections
Inverse trig, compound/double angle, general solutions
Combinations/permutations, conditional, discrete distributions
Limits, L'Hôpital, implicit diff, Maclaurin series, DEs
Real-world applications and technology-integrated approaches. Ideal for social sciences, business, and life sciences.
Number systems, finance, loans/annuities, sequences, GDC use
Linear, quadratic, exponential, logistic, piecewise modelling
2D/3D measurement, sine/cosine rules, Voronoi diagrams
Bivariate data, regression, normal/binomial distributions
Differentiation, optimisation, integration, trapezoidal rule
Graph theory, adjacency matrices, minimum spanning trees
Fourier series (intro), smoothing, transformation of curves
Markov chains, transition matrices, steady-state, χ² test
Related rates, implicit differentiation, slope fields, Euler's method
Complete guide to writing an IB Mathematics Extended Essay — from research question to final submission.
Research question selection, investigation methodology, assessment criteria, writing structure, common mistakes
Pure mathematics, statistics, applied modelling, number theory, geometry — with example research questions
Criteria A–E explained with examples, scoring strategies, common mistakes to avoid
Study guides, IA tips & YouTube picks for AA and AI
IB-style problems with instant feedback in our Question Bank.
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