<p>At the end of this sub-unit, students should be able to:</p>
<ul class="bullet-list"><li><div class="list-item-content"><span class="list-item-text">Represent a complex number on the complex plane using an Argand diagram;</span></div></li><li><div class="list-item-content"><span class="list-item-text">Convert between Cartesian, modulus-argument (polar) and Euler form;</span></div></li><li><div class="list-item-content"><span class="list-item-text">Apply the fact that complex roots of a real polynomial occur in conjugate pairs;</span></div></li><li><div class="list-item-content"><span class="list-item-text">Understand and apply the De Moivre’s theorem; and</span></div></li><li><div class="list-item-content"><span class="list-item-text">Calculate the powers and roots of complex numbers.</span></div></li></ul>

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.

Complex Numbers

International Baccalaureate Higher Level Mathematics

Instructional objectives

Instructional objectives