Mathematics: Analysis & Approaches, Higher Level
The most demanding of the four DP mathematics courses. Adds proof by induction, integration by parts, complex numbers, and series convergence to AA SL's analytical core.
Who this course is for
For students aiming at mathematics, physics, engineering, or any path where formal proof and abstract reasoning are central. Expect significant time outside class.
Topics covered
- Number and algebra (incl. proof by induction, complex numbers)
- Functions
- Geometry and trigonometry (incl. vectors)
- Statistics and probability
- Calculus (incl. integration by parts, series)
Across the two years
Foundations of the course are taught here. New techniques are introduced and consolidated; students sit a mock paper at the end of the year and submit a first draft of their Exploration topic.
Course content is completed by the spring of Year 13. The Exploration is finalised in the autumn term, and the rest of the year is given over to revision, past-paper practice, and the final examinations.
Assessment overview
Each course is examined externally (papers) plus an Internal Assessment (the Exploration).
External examination: 80% · Internal assessment: 20%
| Component | Duration | Weight | Calculator | What it tests |
|---|---|---|---|---|
| Paper 1 | 120 minutes | 30% | No calculator | Short and extended-response questions, no calculator. Heavy emphasis on algebraic technique and proof. |
| Paper 2 | 120 minutes | 30% | GDC required | Short and extended-response questions where technology supports problem solving. |
| Paper 3 | 60 minutes | 20% | GDC required | Two extended problem-solving questions that combine ideas across the syllabus, including proof. |
| Internal Assessment — Exploration | approx. 20 hours over 2 years | 20% | GDC permitted | A 12–20 page mathematical exploration on a topic of the student's choice. Students develop, apply and reflect on mathematical ideas, marked against the IB criteria for presentation, communication, personal engagement, reflection, and use of mathematics. |