School level

# Complex Numbers

UCD Maths Support Centre in conjunction with the UCD Access Support Centre created the following collection of resources for Leaving Certificate Mathematics students. The videos and accompanying PDF were designed for both the Higher and Ordinary Level Mathematics course.

This collection focuses on the Leaving Certificate Mathematics Strand 4: Algebra.

## Complex Roots and the Conjugate Root Theorem

Designed for HL students only.
Learn how to solve equations involving complex variables and examine the conjugate root theorem.
These videos are designed for the higher level mathematics course.

## Polar Form

Designed for HL students only.

### The Polar Form - HL

How do you write a complex number in the polar form? These UCD MSC notes introduce students to the polar form of a complex number and illustrates two examples for students to refer to.

SC Mathematics

#### How it maps to the curriculum

SC
Mathematics

Strand: 4. Algebra

Strand unit: 4. Complex Numbers(Conjugate Root+De Moivre)

Suggestions for use: Use the notes alongside the video tutorial. Students can use the video independently to increase their confidence in the topic of complex numbers.

Asset type: Document
Language: English
Special Needs:

## De Moivre's Theorem

Designed for HL students only.
Examine the De Moivre’s Theorem and learn how the process of mathematical induction can be used to prove the De Moivre’s Theorem. These videos were designed for the higher level mathematics course. You should have prior knowledge of writing complex numbers in the polar form before learning about the De Moivre’s Theorem.

Download Notes:    Video One   |   Video Two   |   Video Three   |   Video Four

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