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WJEC FP1 Welsh Exam Board Further Pure Maths 1

CONTENTS

Summation of finite series using standard results
Summation of series using the method of differences
Mathematical induction
Introduction to complex numbers
The language of complex numbers and the Argand plane
Algebra of complex numbers
Loci involving complex numbers
Transformations of the z and w plane
Roots of polynomials of degree 3 - cubics
Matrix algebra
Properties of matrix multiplication
Inverse of a 2 x 2 matrix and determinants
Determinants
Linear dependence, independence, and singular and non-sinular matrices
Linear simulataneous equations, Guassian elimination and reduction to echelon form
Inverse of a 3 x 3 matrix
Linear Transformations and matrices
Mathematical induction in matrix algebra
Differentiation from first principles
Logarithms and implicit differentiation

DEPENDENCIES
*   WJEC Core 2 Maths
WJEC Core 3 Maths
WJEC FP1 Welsh Exam Board Further Pure Maths 1
On line tests for WJEC Further Pure Maths 1 WJEC FP2 Welsh Exam Board Further Pure Maths 2
*  WJEC FP3 Welsh Exam Board Further Pure Maths 3