Number
Highest Common Factor (HCF) and Lowest Common Multiple (LCM)
-------------------------------------------------------------------------------------------------
-------------------------------------------------------------------------------------------------
Changing Recurring Decimals to Fractions
See Number JC for the following topics:
-
Types of Numbers (N, Z, Q, R)
-
Decimal places and significant figures
-
Orders of Magnitude.
-
Surds
-------------------------------------------------------------------------------------------------
Properties of integers
Integers
Proof using properties of integers 1
If a P divides a squared then P divides a
Proof using properties of integers 2
Proof that is an irrational number
Factorials
-------------------------------------------------------------------------------------------------
Complex Numbers
Complex Numbers The Basics
Complex Numbers - Multiplying and dividing
Radians and the Unit Circle
Multiplying and dividing Complex Numbers in Polar form
De Moivre's Theorem (Examples )
Using DeMoivre's Theorem to prove Trigonometric Identies
The Complex Plane / Adding / Multiplying by a Real Number
Polynomials with Complex Roots
Polar form of Complex Numbers
De Moivre's Theorem - Proof by Induction
Solving Equations using De Moivre's Theorem
The Cubed Root of Unity
-------------------------------------------------------------------------------------------------
Not required for Leaving Cert
Euler's Number (e)
Euler's Identity 1
Euler's Identity 2