HL AA – Complex Numbers

Imaginary Number

Polynomials

De. Moivre

Complex Operations

Argand 1

Roots

Conjugates

Argand 1

Complex Review

Traffic Light Coding for Unit

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Learning Outcome
Understand the concept of the imaginary number, i, and the powers of i.
Calculations with complex numbers in the form a+bi (cartesian form), including addition/substraction, multiplication/division.
Finding solutions to quadratic and polynomial equations where the roots are not real.
Drawing number in the complex plane, the argand diagram.
Writing complex numbers in modulus-argument form.
Representing complex numbers in Euler form.
Converting between polar-argument and cartesian form with and without technology.
Calculations (addition/substraction, multiplication/division) in modulus argument form.
Using and proof of de. Moivre’s theorem and using Powers in modulus-argument form.