H2 Maths Calculus | Free Notes & Worked Examples
In one line
H2 Maths calculus notes: key formulas and exam techniques for differentiation, integration, Maclaurin series, and differential equations.
Want small-group support? Browse our A-Level Maths Tuition hub. Not sure which level to start with? Visit Maths Tuition Singapore.
Planning a revision session? Use our study places near me map to find libraries, community study rooms, and late-night spots.
Read in layers
1 second
Read the summary above.
10 seconds
Scan the first few sections below.
100 seconds
Jump into the section that matches your decision.
- Quick calculus map
- 5.1 | Differentiation
- 5.2 | Maclaurin Series
- 5.3 | Integration Techniques
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.
Quick calculus map
| If you have... | Walk away with this | First action |
| 1 second | Calculus studies change and accumulation. | Ask whether the question wants a rate or a total. |
| 10 seconds | Differentiation finds gradients; integration finds accumulated amounts. | Choose the tool before doing algebra. |
| 100 seconds | 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).
5.1 | Differentiation
Core skills
- Differentiate polynomials, rational functions, exponentials, logarithms, and trig combinations.
