3.5 Algebra of Complex numbers

3.5 Resources folder

3.5 Algebra of Complex numbers

Welcome to the 3.5 Algebra of Complex numbers page at Takapuna Grammar School. To the left (or below on a small screen) you have a folder with shared resources. The goal is to over time add more curriculum relevant content to this page.

Curriculum content

Sum and Product of roots. Video tutorial, web notes.

Completing the square. Video tutorial, notes, practice, answers. Harder examples

The discriminant and its uses. Video 1, video 2 , video 3

Factor and remainder theorem. Video tutorial 1, tutorial 2

Algebraic long division. Factorising cubics. Video 1 . Video 2

Comparing coefficients. Video tutorial

Cubics. Sketching curves

Complex numbers

A history for those interested

a. Introducing Complex Numbers

b. Working with Complex Numbers

c. Complex Conjugates

Complex numbers in modulus and argument form, and argand diagrams

a. Introducing the Argand Diagram

b. Introducing Modulus-Argument Form

c. Multiply and Divide in Modulus-Argument Form

d. Loci with Argand Diagrams

De Moivre's Theorem and Polar form

a. De Moivre's Theorem

b. z = re^(iθ)

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