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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.
Textbook Answers
Chapter 1 - Algebra and Functions:
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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.
2. Quadratic Functions
- Plotting quadratic functions
- Factorising quadratic functions
- Completing the square
- Quadratic formula equation
- 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
- Solving quadratic 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
- Solving quadratic inequalities
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. Intergration
- Relationship between intergration and differentiation
- Intergrating a function f(x)
- Simplifying expressions in order to intergrate
- Finding the constant of intergration
- Using the ∫ notation
Textbook
Studying on your own? Grab the textbook from Amazon and the revision book for more practice.
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