📘 International Baccalaureate® (IB) Diploma Programme Mathematics: Analysis and Approaches (HL / SL) Specification
IB DP Mathematics Analysis & Approaches is designed for students heading into mathematics, engineering, physical sciences, and quantitative economics. Emphasis is placed on rigorous mathematical argument, formal proofs, analytical calculus, function transformations, and algebraic abstractions.
🔢 Topic 1: Number & Algebra
Arithmetic & geometric series, infinite sums, logarithmic change of base, binomial theorem, complex numbers, and induction.
📈 Topic 2: Functions
Composite and inverse functions, vertical/horizontal/slant asymptotes, quadratic discriminants, and modulus transformations.
📐 Topic 3: Geometry & Trigonometry
Radian measure, trigonometric equations, double angle identities, dot product, cross product, and 3D line equations.
∫ dx Topic 5: Calculus
Product/quotient/chain rules, tangent lines, inflection points, kinematics, substitution, integration by parts, and area between curves.