
Edexcel AS and A Level Modular Mathematics Core Mathematics 1 C1
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Content
- Cover
- Contents
- About this book
- Chapter 1: Algebra and functions
- 1.1: Simplifying expressions by collecting like terms
- 1.2: The rules of indices
- 1.3: Expanding an expression
- 1.4: Factorising expressions
- 1.5: Factorising quadratic expressions
- 1.6: The rules of indices for all rational exponents
- 1.7: The use and manipulation of surds
- 1.8: Rationalising the denominator of a fraction when it is a surd
- Summary of key points
- Chapter 2: Quadratic functions
- 2.1: Plotting the graphs of quadratic functions
- 2.2: Solving quadratic equations by factorisation
- 2.3: Completing the square
- 2.4: Solving quadratic equations by completing the square
- 2.5: Solving quadratic equations by using the formula
- 2.6: Sketching graphs of quadratic equations
- Summary of key points
- Chapter 3: Equations and inequalities
- 3.1: Solving simultaneous linear equations by elimination
- 3.2: Solving simultaneous linear equations by substitution
- 3.3: Using substitution when one equation is linear and the other is quadratic
- 3.4: Solving linear inequalities
- 3.5: Solving quadratic inequalities
- Summary of key points
- Chapter 4: Sketching curves
- 4.1: Sketching the graphs of cubic functions
- 4.2: Interpreting graphs of cubic functions
- 4.3: Sketching the reciprocal function
- 4.4: Using the intersection points of graphs of functions to solve equations
- 4.5: The effect of the transformations f(x+a), f(x-a), and f(x)+a
- 4.6: The effect of the transformations f(ax) and af(x)
- 4.7: Performing transformations on the sketches of curves
- Summary of key points
- Review Exercise 1
- Chapter 5: Coordinate geometry in the (x , y) plane
- 5.1: The equation of a straight line in the form y=mx+c or ax+by+c=0
- 5.2: The gradient of a straight line
- 5.3: The equation of a straight line of the form y-y1=m(x-x1)
- 5.4: The formula for finding the equation of a straight line
- 5.5: The conditions for two straight lines to be parallel or perpendicular
- Summary of key points
- Chapter 6: Sequences and series
- 6.1: Introduction to sequences
- 6.2: The nth term of a sequence
- 6.3: Sequences generated by a recurrence relationship
- 6.4: Arithmetic sequences
- 6.5: Arithmetic series
- 6.6: The sum to n of an arithmetic series
- 6.7: Using S notation
- Summary of key points
- Chapter 7: Differentiation
- 7.1: The derivative of f(x) as the gradient of the tangent to the graph y=f(x)
- 7.2: Finding the formula for the gradient of xn
- 7.3: Finding the gradient formula of simple functions
- 7.4: The gradient formula for a function where the powers of x are real numbers
- 7.5: Expanding or simplifying functions to make them easier to differentiate
- 7.6: Finding second order derivatives
- 7.7: Finding the rate of change of a function at a particular point
- 7.8: Finding the equation of the tangent and normal to a curve at a point
- Summary of key points
- Chapter 8: Integration
- 8.1: Integrating xn
- 8.2: Integrating simple expressions
- 8.3: Using the integral sign
- 8.4: Simplifying expressions before integrating
- 8.5: Finding the constant of integration
- Summary of key points
- Review Exercise 2
- Practice paper
- Examination style paper
- Formulae you need to remember
- List of symbols and notation
- Answers
- Index
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