Module One

FURTHER ALGEBRA

Introduction

This module should be read in conjunction with the Programme of Study.

The Programme of Study lists the topics that are in the module and gives you the relevant page references for your textbook. This module aims to give you more direction as you work through the various topics. It will aim to highlight the most important items in the topic, as well as areas that need particular care. It will also point you towards the resources you should be using.

Remember to double-check the syllabus to make sure you cover all the items that you need to.

Module Overview

Prior Knowledge and Algebra. In this module you will review some of the Pure Mathematics topics from A Level which lead onto Further Mathematics topics. The main focus is on understanding the nature of the roots of polynomial functions, starting with quadratics and working up to quartic equations, then how to graph a range of rational functions and finishing with the summation formula for infinite series.

Topics

Topic One (1.1): Roots of Polynomial Equations

Topic Two (1.2): Rational Functions and Graphs

Topic Three (1.3): Summation of Series