# Edexcel AS Pure Maths Tutorials

Outlined below are the topics covered for Edexcel AS Pure maths course

It is advisable to check the official Edexcel AS Pure maths specification in case of changes: specification

## Contents for Edexcel AS Pure Maths

Prior Knowledge

Algebra Basics

Polynomials

Pythagoras’ Theorem

Trigonometry

Algebra and Functions 1

Indices

Surds

Functions

Factorising

Completing the Square

Roots and Discriminant

Simultaneous Equations

Inequalities

Algebraic Long Division

Factor Theorem

Coordinate Geometry

Straight Lines

Intersection of Graphs

Exam Questions – Straight lines

Circles

Algebra and Functions 2

Sketching Cubic and Reciprocal Curves

Graph Transformations

Asymptotes

Sequences and Series

Binomial Expansion

Trigonometry

Trigonometric Ratios

Graphs and Tranformations

Applications of Trigonometry

Trigonometric Equations

Trigonometric Identities

Logarithmic and Exponential Functions

Exponential Functions and Logarithms

The Exponential Function and Natural Log Functions

Modelling Curves

Differentiation

Introduction

Tangents and Normals

Stationary Points

Increasing and Decreasing Functions

Integration

Introduction

Equations of Curves

Definite Integration

Vectors

Vectors

Proof

Past Papers

1. Polynomials

## Pythagoras’ Theorem

1. Pythagoras' theorem

## Functions

1. f(x) notation

## Algebraic Long Division

1. Algebraic long division

## Exam Questions – Straight Lines

1. Exam Questions - Straight lines

## Asymptotes

1. Asymptotes - horizontal and vertical types

## Modelling Curves of the form y=kxn and y=kax

1. Modelling curves - Converting to linear form