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Perplex
Perplex
Dashboard
Topics
Exponents & LogarithmsApproximations & ErrorSequences & SeriesMatricesComplex NumbersFinancial Mathematics
Cartesian plane & linesFunction TheoryModellingTransformations & asymptotes
2D & 3D GeometryVoronoi DiagramsTrig equations & identitiesVectorsGraph Theory
ProbabilityDescriptive StatisticsBivariate StatisticsDistributions & Random VariablesInference & Hypotheses
DifferentiationIntegrationDifferential Equations
Review VideosFormula BookletMy Progress
BlogLanding Page
Sign UpLogin
Perplex
IB Math AIHL
/
Complex Numbers
/
Video
Edit

Video Review

Watch comprehensive review videos for most units, designed for final exam preparation. Each video includes integrated problems you can solve alongside detailed solutions.

Not your average video:

Interactive Problems: Solve problems alongside the video with step-by-step guidance and detailed solutions.

Exam Preparation: Complete unit reviews designed for final exam preparation with all key concepts covered systematically.

Expert Teaching: High-quality instruction from Perplex co-founder James Mullen with clear explanations, worked examples, and exam tips.

Not your average video:

Interactive Problems: Solve problems alongside the video with step-by-step guidance and detailed solutions.

Exam Preparation: Complete unit reviews designed for final exam preparation with all key concepts covered systematically.

Expert Teaching: High-quality instruction from Perplex co-founder James Mullen with clear explanations, worked examples, and exam tips.

IB Math AIHL
/
Complex Numbers
/
Video
Edit

Video Review

Watch comprehensive review videos for most units, designed for final exam preparation. Each video includes integrated problems you can solve alongside detailed solutions.

Not your average video:

Interactive Problems: Solve problems alongside the video with step-by-step guidance and detailed solutions.

Exam Preparation: Complete unit reviews designed for final exam preparation with all key concepts covered systematically.

Expert Teaching: High-quality instruction from Perplex co-founder James Mullen with clear explanations, worked examples, and exam tips.

Not your average video:

Interactive Problems: Solve problems alongside the video with step-by-step guidance and detailed solutions.

Exam Preparation: Complete unit reviews designed for final exam preparation with all key concepts covered systematically.

Expert Teaching: High-quality instruction from Perplex co-founder James Mullen with clear explanations, worked examples, and exam tips.

Complex Numbers

Video Review

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

Problem

32:45

Complex Modulus

46:27

Modulus on the complex plane

47:53

zz*=|z|²

48:07

Properties of complex modulus

48:55

Exercise

49:34

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

Exercise

1:39:01

Problem

1:40:48

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

Complex Numbers

Video Review

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

Problem

32:45

Complex Modulus

46:27

Modulus on the complex plane

47:53

zz*=|z|²

48:07

Properties of complex modulus

48:55

Exercise

49:34

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

Exercise

1:39:01

Problem

1:40:48

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