Version 1.1, 17 October 2026 · 79 pages · PDF · CC BY-NC-ND 4.0
Chapters
- 1.Limits, continuity and the derivative from first principlesSL 5.1, AHL 5.12-5.13
- 2.Differentiation rules and standard derivativesSL 5.3, 5.6, 5.7, AHL 5.15
- 3.Tangents, normals, curve analysis and optimisationSL 5.2, 5.4, 5.7, 5.8
- 4.Integration: antiderivatives and standard integralsSL 5.5, 5.10, AHL 5.15
- 5.Definite integrals, areas, volumes of revolution and kinematicsSL 5.9, 5.11, AHL 5.17
- 6.Implicit differentiation, related rates and optimisationAHL 5.14
- 7.Integration by substitution and by partsAHL 5.16
- 8.Differential equations and Maclaurin seriesAHL 5.18, 5.19
Versions and corrections
Version 1.1, 17 October 2026: every section rewritten in schematic form (lead, points, tables, key results), figures added, worked examples boxed, common errors as a mistake-and-fix table. Same content as 1.0, checked again.
Version 1.0, 17 October 2026: first edition.
Found a mistake, however small? Write to pietro@pietromeloni.com. It gets fixed in the next version, and this page says what changed.
How to use them
Read a chapter before the worksheet on the same syllabus points, then do the worksheet without the notes. In the last week before the exam, use only the one-page summaries at the end of each chapter.
The formulas table in every chapter says what is in the formula booklet and what is not: in the exam you have the booklet, so the time goes into the second column.
Maths AA HL worksheets on the same chapters
Original exam-style questions with a full markscheme and a printable PDF.
- Vector equations of lines (intersecting, parallel and skew lines) worksheet · Maths AA HL, AHL 3.14-3.15
- Integration by substitution and by parts worksheet · Maths AA HL, AHL 5.16