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  • Perplex
    IB Math AIHL
    /
    Complex Numbers
    /

    Home

    Complex Numbers

    Foundations

    Key exercises

    Track what you need to practice to master this unit.

    Speed Run

    Improve speed and accuracy with a timed multiple-choice quiz.

    Speed Run

    Improve speed and accuracy with a timed multiple-choice quiz.

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    Exam-Style Problems

    IB: 4

    5 problems

    IB: 5

    13 problems

    IB: 6

    9 problems

    IB: 7

    4 problems

    Max

    3 problems

    All Concepts

    Thumbnail for Cartesian form

    Arithmetic of complex numbers in cartesian form, including conjugates, and the Argand diagram (complex plane).

    Cartesian form
    Thumbnail for Complex Modulus

    Introduction, definition, and properties of the complex modulus

    Complex Modulus
    Thumbnail for Mod-arg & Polar forms

    rcisθ and eiθ

    Mod-arg & Polar forms
    Our material on complex phasors.
    Complex Phasors
    Thumbnail for Powers of Complex Numbers

    De Moivre's Theorem for powers and roots of complex numbers.

    Powers of Complex Numbers