EngMaths145 - Week 1 Complex Numbers

Define a complex number and state its real and imaginary part

Draw the real and imaginary axis of a complex number, z

For complex numbers, z1 = a + bi and z2 = c + di, add and subtract them

For complex numbers, z1 = a + bi and z2 = c + di, multiply them

For complex numbers, z1 = a + bi and z2 = c + di, divide them

Define the complex conjugate of z = a + bi and state the properties of a complex conjugate number

State the absolute value of a z = a + bi

State the triangle inequality for two compex numbers, z1 and z2

Define the polar form of a complex number

Describe the conversion between rectangular and polar forms

Describe multiplication and division in polar form

Describe De Moivre’s formula