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Perplex
Perplex
Dashboard
Topics
Exponents & LogarithmsApproximations & ErrorSequences & SeriesCounting & BinomialsProof and ReasoningComplex Numbers
Cartesian plane & linesQuadraticsFunction TheoryTransformations & asymptotesPolynomials
2D & 3D GeometryTrig equations & identitiesVectors
ProbabilityDescriptive StatisticsDistributions & Random Variables
DifferentiationIntegrationDifferential EquationsMaclaurin
Review VideosFormula BookletMy Progress
BlogLanding Page
Sign UpLogin
Perplex
IB Math AAHL
/
All units
/
Video

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 AAHL
/
All units
/
Video

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.

Back

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

Exercise

1:55:23

Problem

1:59:47

Cartesian formPolar formDe Moivre

The video will automatically pause when it reaches a problem.

Cartesian formPolar formDe Moivre
Back

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

Exercise

1:55:23

Problem

1:59:47

Cartesian formPolar formDe Moivre

The video will automatically pause when it reaches a problem.

Cartesian formPolar formDe Moivre