Introduction to complex numbers

Specialist Mathematics · Unit 2 — Complex numbers, further proof, trigonometry, functions and transformations · Complex numbers

Learning objectives (5)

LO-1Define and use set notation of the number system for complex numbers (ℂ).LO-2Define the imaginary number 𝑖 as a root (solution) of the equation 𝑥2 = −1.LO-3Determine and use complex conjugates.LO-4Perform complex-number arithmetic: addition, subtraction, multiplication and division, with and without technology.LO-5Use complex numbers in the form 𝑎 + 𝑏𝑖 where 𝑎 and 𝑏 are the real and imaginary parts (components) Re(𝑧) and Im(𝑧) of a complex number 𝑧.

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