AS CORE

This is a contents page listing quick access to pages relating to AS Level CORE Maths.

If you want notes on the AS Level applied units (Statistics/Decision/Mechanics) click here.

If you want notes on how to study, revise and take exams click here.

If you want notes on A2 Core topics (C3 and C4) click here.

Click on the title in the sub headings for specific notes.

 

Core AS Level Mathematics

Contents

• Indices and surds

• Algebra

• Polynomials

• Quadratic Equations

• Simultaneous equations

• Inequalities

• Coordinate Geometry

• Sequences and Series

• Binomial Expansion I

• Trigonometry I 

• logarithms and exponentials

• Differentiation I

• Integration

• Proof

• EDEXCEL LiveText C1
• EDEXCEL LiveText C1

• Topic Maps

AS LEVEL CORE NOTES

Indices and Surds (Under Construction)

Algebra (Under Construction)

Polynomials and Binomial Theorem

Division, factor and remainder theorem

Multiplication, addition, subtraction, binomial theorem

Quadratic functions (Under Construction)

 

Simultaneous equations (Under Construction)

 

Inequalities (Under Construction)

 

Coordinate Geometry

Straight Lines and Gradients

Distance between two points

Mid point between two points

Circles

Intercept between lines and circles

Sequences and series

Introduction

Recurrence Relations

Arithmetic Progression

• Arithmetic Sequences
• Arithmetic Series
• Arithmetic Series More Examples
• Sigma Notation

Geometric Progression

• Geometric Sequences
• Geometric Sequences Nth term
• Geometric Sequences Examples
• Geometric Series
• Sum to infinity

 

Binomial Expansion

Expanding Brackets

Expanding Multiple Brackets using Pascals triangle

Combinations and expanding brackets

Trigonometry

Right Angle Triangles

Any Triangle (cosine and sine rule)

Functions and Graphs

Transformations

Equations and Identities (Part PART 1 | PART 2 | PART 3 | PART 4)

Logarithms and exponentials

Exponential curve sketching

Rules of logs

Solving log and exponential equations

Reducing exponential equations to linear form

Differentiation

First Principles

Power Rule

Increasing and Decreasing functions

Tangents and Normals

Stationary points

Maxima and Minima

Point of Inflexion

Applications

Integration

Indefinite

• Anti derivative
• General method
• Constant of integration

Definite

 

• First principles and general formula (Part PART 1 | PART 2)
• Area under the curve
• Area bounded by two curves
• Trapezium rule

Proof and language of mathematics (Under Construction)

 

 

EDEXCEL Module C1 textbook book work

1.1 Algebra and Functions

1.2 Quadratic Functions

1.3 Equations and Inequalities

1.4 Sketching Curves

1.5 Coordinate Geometry

1.6 Sequences and Series

1.7 Differentiation

1.8 Integration

EDEXCEL Module C2 textbook book work

2.1 Algebra and Functions

2.2 Sine and Cosine Rule

2.3 Exponentials and Logarithms

2.4 Coordinate Geometry

2.5 Binomial Expansion

2.6 Radians, Sectors and Arcs

2.7 Geometric Sequences and Series

2.8 Trigonometric Functions

2.9 Differentiation

2.10 Trigonometric Identities and Equations

2.11 Integration

Topic Maps

Indices

Binomial Expansion

Circles

Coordinate Geometry (Under Construction)

Differentiation (Under Construction)

Inequalities (Under Construction)

Integration (Under Construction)

Polynomials (Under Construction)

Pre A Level (Under Construction)

Quadratics (Under Construction)

Simultaneous Equations (Under Construction)

Sketching Curves(Under Construction)

Transformations (Under Construction)

AlgebraWikipedia: Algebra (from Arabic al-jebr meaning “reunion of broken parts”) is one of the broad parts of mathematics, together with number theory, geometry and analysis. →