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The Two Courses at a Glance
Since the 2019 IB curriculum reform, there are two mathematics courses: Analysis & Approaches (AA) and Applications & Interpretation (AI). Both are available at Standard Level (SL) and Higher Level (HL).
Math AA — Analysis & Approaches
- Pure mathematics focus
- Algebraic thinking and proof
- Calculus is central
- No GDC on Paper 1
- Closer to A-Level / traditional university maths
Math AI — Applications & Interpretation
- Applied mathematics focus
- Modelling, statistics, and technology
- Calculator permitted on all papers
- Emphasis on real-world contexts
- Closer to data science / social science maths
Content Differences
| Topic | AA HL | AI HL |
|---|
| Calculus (differentiation + integration) | Full depth + proof | Basic only |
| Complex numbers | ✓ (HL) | ✗ |
| Mathematical induction | ✓ (HL) | ✗ |
| Differential equations | ✓ (HL) | Partial (numerical only) |
| Maclaurin series | ✓ (HL) | ✗ |
| Statistics (normal, binomial, Poisson) | ✓ (HL) | ✓ + more applied |
| Hypothesis testing | Basic | Extended + regression tests |
| Networks & graph theory | ✗ | ✓ (HL) |
| Game theory | ✗ | ✓ (HL) |
| Transition matrices | ✗ | ✓ (HL) |
University Requirements
This is the most important factor for most students:
Check your target university requirements before choosing. Many STEM and economics programmes explicitly require AA HL, not AI HL. AI HL is increasingly accepted but is still not universally equivalent to AA HL in admissions.
| Field of Study | Recommended Course |
|---|
| Mathematics, Physics, Engineering | AA HL required or strongly preferred |
| Computer Science, Electrical Engineering | AA HL strongly preferred |
| Economics, Business (top universities) | AA HL preferred (Oxford, LSE, Cambridge) |
| Medicine, Biology, Chemistry | AA SL or AI SL acceptable at most unis |
| Psychology, Sociology, Education | AI SL or AI HL sufficient |
| Data Science, Statistics | AI HL increasingly preferred |
| Business (non-top), Marketing, Hospitality | AI SL sufficient |
Difficulty Comparison
Students and teachers broadly agree on the relative difficulty:
- AA HL is generally considered the hardest IB mathematics option and one of the hardest courses in the entire Diploma Programme.
- AI HL is difficult due to breadth (wide topic coverage), but the mathematics involved is less abstract than AA HL.
- AA SL and AI SL are broadly comparable in difficulty, though AA SL has more algebraic rigour.
Grade 7 rates (approximate): AA HL typically has lower grade 7 rates (~20%) than AI HL (~30%), reflecting the higher difficulty of AA HL. However, top universities know this — a 7 in AA HL is often viewed more favourably than a 7 in AI HL for competitive programmes.
Who Should Take Each Course?
Choose AA HL if you:
- Want to study Mathematics, Physics, or Engineering at university
- Enjoy abstract reasoning, proofs, and pure mathematics
- Are already comfortable with algebraic manipulation and calculus
- Are aiming for top-ranked STEM or economics programmes
Choose AI HL if you:
- Are interested in data science, statistics, economics, or social sciences
- Prefer applied, real-world mathematics over abstract proofs
- Are strong with technology and statistical analysis
- Your target university accepts AI HL for your intended course
Choose AA SL if you:
- Need mathematics for a science or economics degree but not as a major
- Want to demonstrate mathematical rigour without the full AA HL commitment
Making Your Decision
The most reliable decision process:
- Research your target universities first. Look up admissions requirements for your intended course at your top 3 universities.
- Consider your future options. AA HL opens more doors (you can always study applied mathematics later). AI HL closes some STEM doors permanently.
- Be honest about your current ability. AA HL requires strong algebraic foundation from GCSE / Year 10. If you struggled with quadratics, AA HL will be very challenging.
- Talk to your current mathematics teacher. They know your learning style and ability better than any guide.
Not Sure Which Course to Take?
Our IB Math tutors can assess your current level and give personalised advice on AA vs AI, and HL vs SL, based on your university goals. Book a free consultation.
Get Personalised Advice
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