H2 Maths Calculus | Free Notes & Worked Examples

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.

• Calculus studies change and accumulation: Ask whether the question wants a rate or a total.
• Differentiation finds gradients; integration finds accumulated amounts: Choose the tool before doing algebra.
• H2 questions often combine functions, graphs, and interpretation: Write the meaning of the derivative or integral in words.

Concrete example: If a velocity-time graph is given, differentiation gives acceleration at an instant, while integration gives displacement over a time interval.

Status: SEAB's current H2 Mathematics (9758) syllabus PDF is labelled for 2026. Topic 5 coverage is within Section A Pure Mathematics, which is assessed in Paper 1 (100 marks) and Paper 2 Section A (40 marks).

Technique-choice checkpoint

Before starting algebra, decide what the question is asking calculus to do. This prevents using a familiar rule on the wrong object.

Reviewed by

Marcus Pang·Managing Director (Maths)