Several examples are shown on each video.
IM1: Complex Numbers 1: Introduction to the Imaginary unit (imaginary number) i which is the square root of -1, and complex numbers. Several examples are provided, showing how to simplify square roots of negative numbers, define pure imaginary numbers, state the standard form of a complex number, and identify the real and imaginary parts of a complex number in standard form.
IM2: Complex Numbers 2: Shows how to simplify square roots of negative numbers, and multiply and divide with imaginary and complex numbers.
IM3: Complex Numbers 3: Shows how to simplify square roots of negative numbers, and multiply imaginary numbers, as well as multiply, add and subtract complex numbers in standard form.
IM4: Complex Numbers 4: Shows how to multiply, and square complex numbers in standard form. Also, complex conjugates are defined and the product of complex conjugates is shown.
NEW: Multiplying 3 complex numbers: https://youtu.be/msYJfPHCSgQ
IM5: Complex Numbers 5: Shows how to divide by pure complex numbers by multiplying numerator and denominator by i.
IM6: Complex Numbers 6: Shows how to divide by complex numbers in standard form by multiplying numerator and denominator by the conjugate of the complex number in the denominator.
IM7: Complex Numbers 7: Shows how to simplify powers of i.
IM8: Complex Numbers 8: Summary and review of simplifying square roots of negative numbers and complex number, adding, subtracting, multiplying, dividing by complex numbers, and simplifying powers of i.