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Mathematics: Analysis and Approaches (Maths AA) — free IB HL course

Free IB Mathematics: Analysis and Approaches HL course — 43 topics

Revise IB Diploma Mathematics: Analysis and Approaches (Higher Level) topic by topic. This free course covers 43 official syllabus points with visual lessons, worked examples, and markband-aligned past-paper practice. Each topic links to IB criterion practice on MarkScheme — a free alternative to paid note sites for students searching "IB Maths AA notes" or "IB Mathematics: Analysis and Approaches revision".

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Mathematics: Analysis and Approaches

43 premium lessons live for Cambridge maths-aa-hl Mathematics: Analysis and Approaches. Learn visually, read concise notes, then mark real past papers on every topic.

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Topics

◆Sequences and series: arithmetic and geometric1.1CONTINUE→Exponents and logarithms1.2→The binomial theorem1.3→Counting principles, permutations and combinations1.4→Proof: induction, contradiction and counterexample1.5→Complex numbers: Cartesian, polar and Euler form1.6→Complex numbers: De Moivre's theorem and roots1.7→Systems of linear equations1.8→Linear functions and equations of straight lines2.1→Functions: domain, range, composite and inverse2.2→Quadratic functions and equations2.3→Transformations of graphs2.4→Rational functions and their graphs2.5→Exponential and logarithmic functions2.6→Polynomial functions, factor and remainder theorems2.7→Solving equations and inequalities; modulus functions2.8→Geometry of 3D solids: volume and surface area3.1→Trigonometry: sine and cosine rules3.2→The unit circle and radian measure3.3→Trigonometric functions and their graphs3.4→Trigonometric identities and equations3.5→Compound and double angle identities; inverse trig3.6→Vectors: properties and operations3.7→Vector equations of lines3.8→Scalar and vector products; planes3.9→Limits and differentiation from first principles5.1→Differentiation rules: chain, product and quotient5.2→Tangents, normals and the second derivative5.3→Optimization and kinematics5.4→Integration as antidifferentiation5.5→Definite integrals: areas and volumes of revolution5.6→Further differentiation: implicit, related rates and L'Hopital5.7→Integration techniques: substitution, by parts and partial fractions5.8→Differential equations and slope fields5.9→Maclaurin series5.10→
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