Edexcel AS and A level Mathematics Pure Mathematics Year 1/AS Textbook + e-book
1st Edition
Published on 6. July 2017
409 pages
978-1-292-20759-9 (ISBN)
Description
Exam Board: EdexcelLevel: AS and A levelSubject: MathematicsFirst teaching: September 2017First exams: Summer 2018With over 1.3 million copies sold of the previous edition, Pearsons textbooks are the market-leading and most trusted resources for AS and A level Mathematics. This book covers all the content needed for the Edexcel AS level Pure Mathematics exam. It can also be used alongside the Year 2 book to cover all the content needed for the Edexcel A level Pure Mathematics exams. Fully updated to match the 2017 specifications, with more of a focus on problem-solving and modelling as well as supporting the new calculators. FREE additional online content to support your independent learning, including full worked solutions for every question in the book (SolutionBank), GeoGebra interactives and Casio calculator tutorials. Includes access to an online digital edition (valid for 3 years once activated). Includes worked examples with guidance, lots of exam-style questions, a practice paper, and plenty of mixed and review exercises.
More details
Content
- Front Cover
- Contents
- Overarching themes
- Extra online content
- Chapter 1: Algebraic expressions
- 1.1: Index laws
- 1.2: Expanding brackets
- 1.3: Factorising
- 1.4: Negative and fractional indices
- 1.5: Surds
- 1.6: Rationalising denominators
- Mixed exercise: 1
- Chapter 2: Quadratics
- 2.1: Solving quadratic equations
- 2.2: Completing the square
- 2.3: Functions
- 2.4: Quadratic graphs
- 2.5: The discriminant
- 2.6: Modelling with quadratics
- Mixed exercise: 2
- Chapter 3: Equations and in equalities
- 3.1: Linear simultaneous equations
- 3.2: Quadratic simultaneous equations
- 3.3: Simultaneous equations on graphs
- 3.4: Linear inequalities
- 3.5: Quadratic inequalities
- 3.6: Inequalities on graphs
- 3.7: Regions
- Mixed exercise: 3
- Chapter 4: Graphs and transformations
- 4.1: Cubic graphs
- 4.2: Quartic graphs
- 4.3: Reciprocal graphs
- 4.4: Points of intersection
- 4.5: Translating graphs
- 4.6: Stretching graphs
- 4.7: Transforming functions
- Mixed exercise: 4
- Review exercise: 1
- Chapter 5: Straight line graphs
- 5.1: y = mx + c
- 5.2: Equations of straight lines
- 5.3: Parallel and perpendicular lines
- 5.4: Length and area
- 5.5: Modelling with straight lines
- Mixed exercise: 5
- Chapter 6: Circles
- 6.1: Midpoints and perpendicular bisectors
- 6.2: Equation of a circle
- 6.3: Intersections of straight lines and circles
- 6.4: Use tangent and chord properties
- 6.5: Circles and triangles
- Mixed exercise: 6
- Chapter 7: Algebraic methods
- 7.1: Algebraic fractions
- 7.2: Dividing polynomials
- 7.3: The factor theorem
- 7.4: Mathematical proof
- 7.5: Methods of proof
- Mixed exercise: 7
- Chapter 8: The binomial expansion
- 8.1: Pascal's triangle
- 8.2: Factorial notation
- 8.3: The binomial expansion
- 8.4: Solving binomial problems
- 8.5: Binomial estimation
- Mixed exercise: 8
- Chapter 9: Trigonometric ratios
- 9.1: The cosine rule
- 9.2: The sine rule
- 9.3: Areas of triangles
- 9.4: Solving triangle problems
- 9.5: Graphs of sine, cosine and tangent
- 9.6: Transforming trigonometric graphs
- Mixed exercise: 9
- Chapter 10: Trigonometric identities and equations
- 10.1: Angles in all four quadrants
- 10.2: Exact values of trigonometrical ratios
- 10.3: Trigonometric identities
- 10.4: Simple trigonometric equations
- 10.5: Harder trigonometric equations
- 10.6: Equations and identities
- Mixed exercise: 10
- Review exercise: 2
- Chapter 11: Vectors
- 11.1: Vectors
- 11.2: Representing vectors
- 11.3: Magnitude and direction
- 11.4: Position vectors
- 11.5: Solving geometric problems
- 11.6: Modelling with vectors
- Mixed exercise: 11
- Chapter 12: Differentiation
- 12.1: Gradients of curves
- 12.2: Finding the derivative
- 12.3: Differentiating x n
- 12.4: Differentiating quadratics
- 12.5: Differentiating functions with two or more terms
- 12.6: Gradients, tangents and normals
- 12.7: Increasing and decreasing functions
- 12.8: Second order derivatives
- 12.9: Stationary points
- 12.10: Sketching gradient functions
- 12.11: Modelling with differentiation
- Mixed exercise: 12
- Chapter 13: Integration
- 13.1: Integrating xn
- 13.2: Indefinite integrals
- 13.3: Finding functions
- 13.4: Definite integrals
- 13.5: Areas under curves
- 13.6: Areas under the x-axis
- 13.7: Areas between curves and lines
- Mixed exercise: 13
- Chapter 14: Exponentials and logarithms
- 14.1: Exponential functions
- 14.2: y = e x
- 14.3: Exponential modelling
- 14.4: Logarithms
- 14.5: Laws of logarithms
- 14.6: Solving equations using logarithms
- 14.7: Working with natural logarithms
- 14.8: Logarithms and non-linear data
- Mixed exercise: 14
- Review exercise: 3
- Exam-style practice: Paper 1
- Answers
- Index
- Back Cover
