H2 Maths Notes (JC 1-2): 4) Complex Numbers

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07 Oct 2025, 00:00 Z

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Marcus Pang·Managing Director (Maths)

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Q: What does H2 Maths Notes (JC 1-2): 4) Complex Numbers cover?
A: Cartesian and polar forms, loci on the Argand plane, De Moivre applications, and calculator workflows for JC complex numbers.

Before you begin
Review your Additional Maths introduction to complex arithmetic so operations with $a + bi$ feel fluent. Switch the graphing calculator (GC) to Complex or Polar mode as needed and practice toggling between rectangular and polar displays.

Status: SEAB H2 Mathematics (9758, first exam 2026) syllabus last checked 2025-11-29 (PDF last modified 2024-10-16). Topic 4 coverage unchanged; Section A still contributes 70 marks per paper (Pure Mathematics).

4.1 | Core Concepts and Forms

Representations

• Cartesian form: $z = a + bi$ with real part $\Re(z) = a$