# 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

Algebra Basics

Polynomials

Pythagoras’ Theorem

Trigonometry

Indices

Surds

Functions

Factorising

Completing the Square

Quadratic Equations

Roots and Discriminant

Quadratic Graphs

Simultaneous Equations

Inequalities

Algebraic Long Division

Factor Theorem

Gradient of Straight Line

Straight Lines

Intersection of Graphs

Exam Questions – Straight lines

Circles

Sketching Cubic and Reciprocal Curves

Graph Transformations

Asymptotes

Binomial Expansion

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

Introduction

Tangents and Normals

Stationary Points

Increasing and Decreasing Functions

Introduction

Equations of Curves

Definite Integration

Vectors

## Prior Knowledge

## Algebra Basics

## Polynomials

## Pythagoras’ Theorem

## Trigonometry Introduction

## Algebra and Functions : 1

## Indices

- Introduction to indices (exponents)
- Multiplication rules for indices
- Division rule for indices
- Negative indices
- Fractions raised to a negative index
- Rational (fractional) indices
- Simplifying terms with negative powers
- Expressing terms in the form ax
^{n} - Equations in which the power has to be found
- Summary of indices
- Exam Questions - Indices

## Surds

## Functions

## Factorising

## Completing the Square

## Quadratic Equations

## Quadratic Equations – Roots and Discriminant

## Quadratic Graphs

## Simultaneous Equations

## Inequalities

## Algebraic Long Division

## Coordinate Geometry

## Gradient of Straight Lines

## Straight Lines

## Intersection of Graphs

## Exam Questions – Straight Lines

## Circles

## Algebra and Functions : 2

## Sketching Cubic and Reciprocal Curves

## Graph Transformations

## Sequences and Series

## Binomial Expansion

## Trigonometry

## Trigonometric Ratios

## Trigonometric Graphs and Transformations

## Applications of Trigonometry

## Trigonometric Equations

## Trigonometric Identities

## Logarithmic and Exponential Functions

## Exponential Functions and Logarithms

## The Exponential Function e^{x} and Natural Log Functions

## Modelling Curves of the form y=kx^{n} and y=ka^{x}

## Differentiation

## Differentiation – Introduction

## Tangents and Normals

## Stationary Points

## Increasing and Decreasing functions

## Integration

## Integration – Introduction

## Equations of Curves

## Definite Integration

## Vectors

## Vectors

Index

graphs:

quadratics:

transformations:

trigonometric: