Instructional objectives

At the end of this sub-unit, students should be able to:

• Represent a complex number on the complex plane using an Argand diagram;
• Convert between Cartesian, modulus-argument (polar) and Euler form;
• Apply the fact that complex roots of a real polynomial occur in conjugate pairs;
• Understand and apply the De Moivre’s theorem; and
• Calculate the powers and roots of complex numbers.