Mathematics: Analysis and Approaches revision.

What you can use

Read topic notes, review flashcards and attempt original practice questions. Compare your written answers with suggested markschemes and solutions. Relevant quantitative lessons include equation references.

Choose your study level inside the workspace. HL extensions are labelled and filtered by level.

Topics and guidance

• Number, indices and logarithms
• Sequences and series
• Binomial theorem and counting
• Proof and induction · HL
• Complex numbers · HL
• Systems and polynomial roots · HL
• Functions, inverses and transformations
• Quadratics, rational functions and graphs
• Exponential, logarithmic and modulus models
• Geometry, radians and trigonometry
• Trigonometric functions and identities
• Inverse and reciprocal trig · HL
• Vectors and lines · HL
• Planes and vector geometry · HL
• Data, sampling and descriptive statistics
• Correlation and regression
• Probability and conditional probability
• Discrete variables and binomial distribution
• Normal and continuous distributions
• Limits, continuity and derivatives
• Applications of differentiation
• Integration and numerical methods
• Areas, volumes and motion
• Differential equations · HL
• Maclaurin series · HL
• Mathematical exploration
• Partial fractions · HL
• Polynomial structure, symmetry and inequalities · HL
• Continuous distributions and fair games · HL
• Limits and l’Hôpital’s rule · HL
• Further first-order differential equations · HL

Coverage and course references

Expanded original SL/HL revision across the five current AA strands, including additional standalone methods. Site lesson IDs group syllabus content and are not official statement numbers. Not a verified statement-by-statement complete guide.

Check the detailed course map and assessment references for the specification covered. Later exam sessions may use a revised syllabus. Notes and practice have not been independently verified throughout.

Official IB course reference →