Two different Maths courses, not two difficulty levels
The IB Diploma offers two distinct Mathematics courses, Analysis and Approaches (AA) and Applications and Interpretation (AI), each available at HL and SL. They're not a "harder" and "easier" version of the same course. They lean on different mathematical skills and suit different strengths and different future plans.
What each course actually emphasises
- Analysis and Approaches (AA) is built around algebraic manipulation, proof, and a more traditional, abstract approach to calculus and functions. It suits students who enjoy pure mathematical reasoning and are likely to need strong calculus and algebra for university courses in maths, physical sciences, or engineering.
- Applications and Interpretation (AI) is built around using technology (a graphing display calculator, throughout) to apply maths to real-world modelling, statistics, and data analysis. It suits students who prefer applied, modelling-based maths and whose future studies lean more towards statistics or social sciences than pure calculus.
Check university requirements before assuming either course will do
Some university courses, particularly Mathematics, Physics, Engineering, and some Economics programmes, specify Analysis and Approaches at HL specifically, rather than accepting either Maths course. If you already have a target course in mind, check its IB subject requirements early, the same way you would for an HL versus SL decision (see our companion guide on choosing HL subjects). This can rule out AI as an option regardless of which course you'd otherwise prefer.
HL adds real extension content in both courses
In AA, HL extends into proof by induction, complex numbers, vectors, lines and planes in more depth, further calculus techniques, and Maclaurin series. In AI, HL extends into further statistics and regression, matrices and eigenvalues, graph theory and networks, and further calculus and differential equations. Both HL routes also add a third paper, an extended-response paper, that SL students don't sit, on top of the two shared papers.
Revision looks different depending on the course
AA revision benefits from repeated algebraic practice without a calculator, for proof and manipulation questions, building genuine fluency instead of relying on a GDC to check every step. AI revision benefits from deliberately practising with your actual graphing display calculator on every past-paper question, since the course assumes confident calculator use throughout rather than treating it as a backup.
Revising either course with ExamPass.ai
ExamPass.ai generates exam questions by topic and exam papers for both Analysis and Approaches and Applications and Interpretation, at HL and SL, so your practice questions match the specific emphasis and paper structure of the course you're actually taking.