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IB maths AI Complex Number (HL)

  • This course will be discontinued soon
  • Free tutorial
  • Rating: 4.9 out of 54.9 (8 ratings)
  • 1,051 students
  • 1hr 11min of on-demand video
  • Created by Kidd Cheung


What you’ll learn

  • IB AI maths Complex Number
  • The definition of Complex Number
  • Polar form and DeMovire’s Theorem
  • Deriving Trigonometric Identities from Complex number


  • Basic Algebra
  • Simple Trigonometry


please search up Kidd math channel on youtube to find the new home of my courses.

A free course on the topic of Complex Number, designed according to the latest syllabus of IB Math AI HL, under topic 1: Algebra

Designed to the need of an HL student. It also included exam question demonstrations to show IB exam skills.

This course is meant to be quick but covers all the essentials of the topic Complex Number. 

Disclaimer: If you are under 18 please ask a parent or guardian to open your account, handles any enrollments, and manages your account usage. As a rule of Udemy, your parents or guardians should be supervising your learning.

Content includes:

Definition of Complex Number

Use of complex Plane

Polar form and De Moivres’s Theorem

Roots of Complex numbers

Trigonometric Identities from De Moivres’s Theorem

Detail Content:

Complex Number

Complex plane

Polar Form

Euler Form

Sums, products and quotients in Cartesian, polar or Euler forms and their geometric interpretation

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Complex conjugate roots

De Moivres’s theorem

Powers and roots of complex numbers

Bonus content: Trigonometric Identities from De Moivres’ Theorem

You are also welcomed to message me if you have any trouble.

Description from IB Syllabus:

AHL content

Recommended teaching hours: 20

The aim of the AHL content in the number and algebra topic is to extend and build upon the aims, concepts

and skills from the SL content. It introduces students to some important techniques for expansion,

simplification and solution of equations. Complex numbers are introduced and students will extend their

knowledge of formal proof to proof by mathematical induction, proof by contradiction and proof by


Who this course is for:

  • IB maths AI students over 18
  • Parents of students doing IB maths AI

Show less

Course content

4 sections • 6 lectures • 1h 11m total lengthCollapse all sections

Introduction1 lecture • 1min

  • Introduction01:24

Complex Number1 lecture • 17min

  • The basic16:32

Exponential Form1 lecture • 11min

  • Exponential Form10:59

Past paper Questions demonstration3 lectures • 42min

  • Calculator02:48
  • Quadratics and phase shift15:40
  • Questions Demonstration23:45

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