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    IB Math AIHL
    /
    Complex Numbers
    /

    Video

    Video Reviews

    Watch comprehensive video reviews 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 Reviews

    Watch comprehensive video reviews for Complex Numbers, 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.

    Cartesian formPolar formDe Moivre

    The video will automatically pause when it reaches a problem.

    Complex Numbers a+bi

    AHL HL 1.12

    A complex number

    z=a+biπŸ“–

    is sum sum of a real number a and an imaginary number bi.


    We call a the real part of z and b the imaginary part of z:

    Re(z)Im(z)​=a=b​

    For example, z=2βˆ’3i is a complex number with a real part Re(z)=2 and imaginary part Im(z)=βˆ’3.


    If two complex numbers are equal, then both their real and imaginary parts are equal:

    a+bi=x+yi⇔{a=xb=yβ€‹πŸš«

    Complex Numbers a+bi

    AHL HL 1.12

    A complex number

    z=a+biπŸ“–

    is sum sum of a real number a and an imaginary number bi.


    We call a the real part of z and b the imaginary part of z:

    Re(z)Im(z)​=a=b​

    For example, z=2βˆ’3i is a complex number with a real part Re(z)=2 and imaginary part Im(z)=βˆ’3.


    If two complex numbers are equal, then both their real and imaginary parts are equal:

    a+bi=x+yi⇔{a=xb=yβ€‹πŸš«
    Cartesian formPolar formDe Moivre