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Complex numbers

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Intro to the imaginary numbersIntro to the imaginary numbersPowers of the imaginary unitPowers of the imaginary unitSimplifying roots of negative numbersi as the principal root of -1
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Intro to complex numbersIntro to complex numbersClassifying complex numbers
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Plotting numbers on the complex planeThe complex plane
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Adding complex numbersSubtracting complex numbers
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Multiplying complex numbersMultiplying complex numbersComplex number operations review
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Intro to complex number conjugatesComplex number conjugatesDividing complex numbersDividing complex numbers review
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Absolute value of complex numbersAbsolute value & angle of complex numbersComplex number absolute value & angle review
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Distance & midpoint of complex numbers
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Polar & rectangular forms of complex numbersComplex number forms review
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Dividing complex numbers: polar & exponential formVisualizing complex number multiplicationPowers of complex numbersComplex number equations: x³=1Visualizing complex number powersComplex number polar form review
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Challenging complex numbers problem (1 of 3)Challenging complex numbers problem (2 of 3)Challenging complex numbers problem (3 of 3)Challenging complex numbers problem: complex determinant
Test your understanding of Complex numbers with these 12 questions.

About this unit

This topic covers: - Adding, subtracting, multiplying, & dividing complex numbers - Complex plane - Absolute value & angle of complex numbers - Polar coordinates of complex numbers