
Edexcel AS and A Level Modular Mathematics Core Mathematics 4 C4
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Content
- Cover
- Contents
- About this book
- Chapter 1: Partial fractions
- 1.1: Adding and subtracting algebraic fractions
- 1.2: Partial fractions with two linear factors in the denominator
- 1.3: Partial fractions with three or more linear factors in the denominator
- 1.4: Partial fractions with repeated linear factors in the denominator
- 1.5: Improper fractions into partial fractions
- Summary of key points
- Chapter 2: Coordinate geometry in the (x, y) plane
- 2.1: Parametric equations used to define the coordinates of a point
- 2.2: Using parametric equations in coordinate geometry
- 2.3: Converting parametric equations into Cartesian equations
- 2.4: Finding the area under a curve given by parametric equations
- Summary of key points
- Chapter 3: The binomial expansion
- 3.1: The binomial expansion for a positive integral index
- 3.2: Using the binomial expansion to expand (a+bx)n
- 3.3: Using partial fractions with the binomial expansion
- Summary of key points
- Chapter 4: Differentiation
- 4.1: Differentiating functions given parametrically
- 4.2: Differentiating relations which are implicit
- 4.3: Differentiating the function ax
- 4.4: Differentiation and rates of change
- 4.5: Simple differential equations
- Summary of key points
- Chapter 5: Vectors
- 5.1: Vector definitions and vector diagrams
- 5.2: Vector arithmetic and the unit vector
- 5.3: Using vectors to describe points in 2 or 3 dimensions
- 5.4: Cartesian components of a vector in 2 dimensions
- 5.5: Cartesian components of a vector in 3 dimensions
- 5.6: Extending 2 dimensional vector results to 3 dimensions
- 5.7: The scalar product of two vectors
- 5.8: The vector equation of a straight line
- 5.9: Intersecting straight line vector equations
- 5.10: The angle between two straight lines
- Summary of key points
- Chapter 6: Integration
- 6.1: Integrating standard functions
- 6.2: Integrating using the reverse chain rule
- 6.3: Using trigonometric identities in integration
- 6.4: Using partial fractions to integrate expressions
- 6.5: Using standard patterns to integrate expressions
- 6.6: Integration by substitution
- 6.7: Integration by parts
- 6.8: Numerical integration
- 6.9: Integration to find areas and volumes
- 6.10: Using integration to solve differential equations
- 6.11: Differential equations in context
- Summary of key points
- Review Exercise
- Practice paper
- Examination style paper
- Formulae you need to remember
- List of symbols and notation
- Answers
- Index
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