Complex Numbers

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About Course

Introduction 

Until now, you know several sets of numbers, including N,Z,Q and R . In each case, the numbers correspond to points on the number line. You already know how to find the square root of a positive real number, but the problem occurs when finding square root of negative numbers.

What Will You Learn?

  • Identify a real part and imaginary part of a complex number.
  • Convert a complex number from one form to another.
  • Represent a complex number on Argand diagram.
  • State De Moivre’s formula and Euler’s formulae.
  • Apply the properties of complex numbers to perform operations on complex numbers in algebraic form, in polar form or in exponential form.
  • Find the modulus and the nth roots of a complex number.
  • Solve in the set of complex numbers a linear or quadratic equation.
  • Use the properties of complex numbers to factorise a polynomial and to solve a polynomial equation in the set of complex numbers.
  • Apply complex numbers in trigonometry and alternating current problems.

Course Content

Concepts of complex numbers

  • Definition and properties of ‘I’
    14:36
  • Geometric representation of complex numbers
    13:19
  • Modulus of a complex number
    22:44
  • Operations on complex numbers
    07:24
  • Square root of a complex number
    00:00
  • Equations in the set of complex numbers
    06:35
  • https://youtu.be/stQn_9AbbDg
    06:59

Algebraic form of a complex number

Polar form of a complex number

Exponential form of a complex number

Applications of a Complex Numbers

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