# Maths a level c1

## Core Mathematics 1

C1 was first introduced in 2004 as part of the Core series which replaced the old Pure system. It was created to help build a bridge between GCSE maths and A level maths, expanding mainly on what is dealt with at Higher Level GCSE. The topics that are new include differentiation and integration, both of which are covered on a very simple level. C1 aims to teach you the basics of this topics, so that when you move onto the later units (C2,C3,C4) you will have a basic understanding. Note that C1 is a non-calculator paper, as it is partly aimed to build and develop your mental maths skills.

Chapter 1 - Algebra and Functions:

• Ex 1B - 12

## Contents

Below is a list of the topics that are included in the Edexcel Core Mathematics 1 unit.

1. Algebra and functions

• Simplyfing expressions .
• The laws of indices.
• Expanding an expression.
• Factorising an expression.
• Uses and manipulation of surds.
• Rationalising/simplifying surds.

• Completing the square
• Sketching the graphs of quadratics

3. Equations and inequalities

• Solving simutaneous linear equations by elimination
• Solving simutaneous linear equations by substitution
• Solving simutaneous equations with one linear and one quadratic
• Solving linear inequalities

4. Sketching curves

• Sketching the curves of cubic functions
• Sketching the reciprocal function
• Using graphs to solve equations
• Graph transformations of f(x+a)and f(x-a)
• Graph transformations of f(ax) and af(x)
• Reconizing and drawing transformations.

5. Coordinate geometry in the (x,y) plane

• Equations of a straight line
• The gradient of a straight line
• Using 1 point and a gradient to find an equation
• Conditions of paralell and perpendicular lines

6. Sequences and series

• Introduction to sequences
• Finding the 'nth' term of a sequence
• Sequences generated by a recurrence relationship
• Arithmetic sequences and the aritmetic series
• Finding the nth term and sum up to 'n' of a series
• Using the ∑ notation

7. Differentiation

• Finding the derivative of f(x)
• Relationship between the derivative and gradient of f(x)
• Finding the gradient formula of functions
• Expanding/simplifying functions in order to differentiate
• Finding the 2nd order derivatives
• Finding the rate of change of a function at a particular point
• Finding the equation of the tangent and normal to a curve at a point

8. Integration

• Relationship between integration and differentiation
• Integrating a function f(x)
• Simplifying expressions in order to integrate
• Finding the constant of integration
• Using the ∫ notation

## Textbook

Studying on your own? Grab the textbook from Amazon and the revision book for more practice.