HL AI – Complex Numbers

Imaginary Number

Argand 1

Complex Geometry

Complex Operations

Argand 2

Complex Review

Quadratics

Powers

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Learning Outcomes
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 equations where the roots are not real.
Drawing number in the complex plane, the argand diagram.
Writing complex numbers in modulus-argument form.
Converting between polar-argument and cartesian form with and without technology.
Calculations (addition/substraction, multiplication/division) in modulus argument form.
Powers in modulus-argument form.
Understand sinusoidal functions with the same frequencies, but different shift-phases.