Every topic in the IB Mathematics syllabus, mapped to short video lessons. Pick a course below to see the full topic breakdown.
Arithmetic & geometric sequences, sigma notation, binomial expansion.
Domain/range, composite & inverse functions, graph transformations.
Sine/cosine rule, radians, trig identities and equations.
Descriptive stats, normal distribution, bivariate data, probability rules.
Limits, derivatives, chain/product/quotient rule, optimisation.
Cartesian, polar & Euler form, De Moivre's theorem, roots of unity.
Direct proof, proof by induction, contradiction, and counterexample.
Vector equations, dot/cross product, intersections and angles.
Implicit differentiation, related rates, Maclaurin series.
Bayes' theorem, discrete/continuous distributions in depth.
Fitting models to real data, technology-based curve fitting.
Compound interest, amortisation, depreciation, currency conversion.
Correlation, regression, chi-squared tests, sampling techniques.
Volume/surface area, bearings, non-right-angle triangle problems.
Graph theory basics, trees, adjacency matrices, shortest paths.
Piecewise, logarithmic and trigonometric models for real data.
Matrix operations, eigenvalues, systems of linear equations.
Poisson, binomial, normal in depth, hypothesis testing.
Kinematics, optimisation, differential equations in applied contexts.
Minimum spanning trees, Chinese postman, travelling salesman problems.
Lesson counts and durations shown are placeholders — update once your real HeyGen video library is uploaded.
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