Complex Systems: Complex Numbers · Number and Algebra

Loci in the Complex Plane

Using complex numbers to describe paths and regions in a two dimensional coordinate system.

Key Questions

  1. 1How can a single complex equation represent a circle or a perpendicular bisector?
  2. 2Why do we use the argument of a complex difference to define sectors in the Argand diagram?
  3. 3What is the relationship between complex inequalities and shaded regions in a plane?

MOE Syllabus Outcomes

MOE: Complex Numbers - JC2
Level: JC 2
Subject: Mathematics
Unit: Complex Systems: Complex Numbers
Period: Number and Algebra

Suggested Methodologies

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Algebraic Forms and Conjugates

Mastering operations in the complex plane and the properties of complex conjugates.

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Polar Form and Euler's Relation

Representing complex numbers using modulus and argument for efficient multiplication and division.

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