H2 Maths Calculus | Free Notes & Worked Examples
07 Oct 2025, 00:00 Z· Last updated 13 Jan 2026
Reviewed by
Marcus Pang·Managing Director (Maths)
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Q: What does H2 Maths Notes (JC 1-2): 5) Calculus cover?
A: Differentiation, Maclaurin series, integration techniques, definite integrals, and differential equations aligned with the 2026 H2 syllabus.
Before you begin
Revisit your IP and Additional Maths rules for basic differentiation and integration so the JC techniques extend naturally. Set the GC to Exam Mode and know where derivative, integral, and root-finding menus live.
For the full topic map, paper weightings, and official PDF link, see our H2 Maths Syllabus 2026-27 overview.
Status: SEAB H2 Mathematics (9758, first exam 2026) syllabus last checked 2026-01-13 (PDF last modified 2024-10-16). Topic 5 coverage unchanged; Pure Mathematics is assessed in Paper 1 (100 marks) and Paper 2 Section A (40 marks).
5.1 | Differentiation
Core skills
- Differentiate polynomials, rational functions, exponentials, logarithms, and trig combinations.
- Use product, quotient, and chain rules fluently; annotate which rule you applied.
- Interpret gradients and tangents in context (rates of change, normals to curves).
Workflow checklist
- Simplify the function before differentiating if it avoids quotient rule clutter.
- State the derivative step-by-step:
