Notes IBMathematics: Analysis & Approaches

Mathematics: Analysis & Approaches Study Notes

IB · Free revision notes covering the complete syllabus

5 Units25 Notes Available

Topic 1: Number & algebra

Study materials and practice for Topic 1: Number & algebra

Sequences and series

Exponents and logarithms (applications)

Binomial theorem (HL emphasis)

Complex numbers (HL heavy)

Proof/induction (HL emphasis)

Study materials and practice for Topic 2: Functions

Function concept; inverses; compositions

Polynomials/rational/exponential/log functions

Transformations and graphing

Solving equations (algebraic/graphical)

HL: differential equations and advanced functions

Study materials and practice for Topic 3: Geometry & trigonometry

Coordinate geometry and circles

Trig identities/equations/graphs

Vectors in 2D/3D (HL deeper)

Applications (navigation, modelling)

HL: advanced trig/geometry proofs (as applicable)

Study materials and practice for Topic 4: Statistics & probability

Descriptive statistics

Probability laws and conditional probability

Distributions (binomial/normal etc)

Sampling and inference (as required)

HL: further inference (as applicable)

Study materials and practice for Topic 5: Calculus

Differentiation and interpretation

Applications of derivatives

Integration and accumulation

Differential equations (HL emphasis)

Series approximations (HL: Taylor/Maclaurin)

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