A Level Maths Notes

A Level Maths Notes: FP3

Roots and Powers of Complex Numbers	Complex Fractions, Argand Diagrams, Magnitudes, Arguments and Products of Complex Numbers and Polar Forms
Basic Properties of Groups	Abelian and Non Abelian Groups
Image of a Line Under Transformation By a Matrix	Proof of Formulae Used to Solve Differential Equations Numerically
Finding Inverses of 3x3 Matrices	Loci
Basic Taylor Series	De Moivre's theorem
The Euler Formula for finding Numerical Solutions of First Order Differential Equations	Finding the Taylor Series for the Solution to a Differential Equation Given Initial Conditions
Finding Cartesian Equations for Curves Given in Polar Coordinates	Finding the Volume of a Pyramid Using Vectors
The Improved Euler Formula for Solving First Order Differential Equations Numerically	Induction
Basic Mclaurin Series	Solving Second Order, Constant Coefficient, Linear Differential Equations
The Cross Product	The integrating Factor Method of Solving First Order Differential Equations
Using De Moivre's Equation to Solve Polynomial Equations	Transforming Differential Equations
Improper Integrals