1.HL Complex Numbers

AHL 1.12 Introduction to C.N.

AHL 1.13 Operations with C.N.

AHL 1.14 Quadratics with C.N.

AHL 1.12 Introduction to C.N.

Introduction to Complex Numbers

https://youtu.be/j2l5ZSBm4w4

AHL 1.13 Operations with C.N.

Add, Subtract and Multiply complex numbers

https://www.youtube.com/watch?v=FoWbW9XROiI

Find the Modulus and Argument of a complex number

https://www.youtube.com/watch?v=Yk3oz3S2oow

Find the cartesian Equation

https://www.youtube.com/watch?v=b5UNgAYGTzI

Polar form = Modulus argument form

https://www.youtube.com/watch?v=yBZJJA6THlE

Show that w = cis (theta)

https://www.youtube.com/watch?v=LwRVUzzDV3Y

Finding the real and imaginary parts

https://www.youtube.com/watch?v=ajpke3uVb_c

Roots of Complex Numbers

https://www.youtube.com/watch?v=QNooRJCYY18

https://www.youtube.com/watch?v=ouX58BwtOtg

AHL 1.14 Quadratics with C.N.

We solve quadratic equations with complex solutions; roots that are complex numbers. We work through 2 examples, one with imaginary zeros, the other with complex zeros. In each case we see that the solutions are conjugates of each other, which will always be the case.

https://youtu.be/Ji4HoudGugY

Finding the roots of an Imaginary number

https://youtu.be/4IMO7h0ZY0A

Sum and Product of roots

https://www.youtube.com/watch?v=ua5r8klfXFs

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