HL AI – Complex Numbers

Imaginary Number

Make your own copy and share with your students.

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.