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1: Algebra
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Complex Numbers

Complex Numbers

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Timeline

CARTESIAN FORM

Imaginary number i

00:56

Complex Numbers a+bi

02:36

The sets ℂ, ℝ and ℝ\ℂ

03:45

Product of complex numbers

05:08

The complex plane

06:14

Complex conjugates

07:23

Exercise

08:33

Properties of the complex conjugate

09:21

Fractions of complex numbers

10:26

Exercise

11:24

Solving complex equations

13:45

Exercise

16:06

Finding complex roots of quadratics

18:07

Exercise

20:38

Problem

21:47

Problem

25:41

Complex Modulus

46:27

Modulus on the complex plane

47:53

zz*=|z|²

48:07

Properties of complex modulus

48:55

Problem

51:03

Problem

53:31

POLAR FORM

Complex Argument

55:04

Complex argument when a<0

56:24

Complex Argument when a=0 (purely imaginary)

1:02:00

Exercise

1:03:48

Polar form of complex numbers

1:06:28

Exercise

1:08:55

Euler's form

1:11:50

Multiplying in mod-arg form

1:14:01

Complex conjugate in polar form

1:18:42

Exercise

1:19:50

Problem

1:22:13

DE MOIVRE

Powers of complex numbers

1:36:38

Roots of complex numbers

1:49:57

Cartesian formPolar formDe Moivre

The video will automatically pause when it reaches a problem.

Cartesian formPolar formDe Moivre