IB HL
Mathematics AA
Analysis and Approaches — from complex numbers to proofs.
Follow the guides in order for best results — start with the first card below and work through each topic in sequence.
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Number and Algebra
Start here → ~25 min readCovers sequences, series, exponents, logarithms, the binomial theorem, proof by induction, and systems of equations.
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Complex Numbers (AHL Topic 1)
~22 min readCovers Cartesian and polar form, De Moivre's theorem, powers and roots of complex numbers, and roots of unity.
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Functions
~25 min readComposite & inverse functions, transformations, rational functions, modulus inequalities, polynomial theorems.
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IB Math AA HL Topic 3: Geometry and Trigonometry
~25 min readCovers trigonometric identities, vectors, circle theorems, 3D geometry, and applications to bearings and area.
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Statistics and Probability
~25 min readCovers probability distributions, the normal distribution, hypothesis testing, correlation, and regression analysis.
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IB Math AA HL Calculus — Notes, Examples & Practice 2026
~30 min readCovers differentiation, integration, kinematics applications, differential equations, and Maclaurin series (HL).