Edexcel A level Mathematics Pure Mathematics Year 2 Textbook + e-book
1st Edition
Published on 6. July 2017
433 pages
978-1-292-20760-5 (ISBN)
Description
Exam Board: EdexcelLevel: A levelSubject: MathematicsFirst teaching: September 2017First exams: Summer 2018 With 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 can be used alongside the Year 1 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, practice papers, and plenty of mixed and review exercises.
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Greg Attwood | Jack Barraclough | Ian Bettison
Pearson Edexcel A level Mathematics Pure Mathematics Year 2 Textbook + e-book
Book
05/2017
Pearson Education Limited
€53.48
Shipment within 10-20 days
Content
- Front Cover
- Contents
- Overarching themes
- Extra online content
- Chapter 1: Algebraic methods
- 1.1: Proof by contradiction
- 1.2: Algebraic fractions
- 1.3: Partial fractions
- 1.4: Repeated factors
- 1.5: Algebraic division
- Mixed exercise 1
- Chapter 2: Functions and graphs
- 2.1: The modulus function
- 2.2: Functions and mappings
- 2.3: Composite functions
- 2.4: Inverse functions
- 2.5: y = |f(x)| and y = f(|x|)
- 2.6: Combining transformations
- 2.7: Solving modulus problems
- Mixed exercise 2
- Chapter 3: Sequences and series
- 3.1: Arithmetic sequences
- 3.2: Arithmetic series
- 3.3: Geometric sequences
- 3.4: Geometric series
- 3.5: Sum to infinity
- 3.6: Sigma notation
- 3.7: Recurrence relations
- 3.8: Modelling with series
- Mixed exercise 3
- Chapter 4: Binomial expansion
- 4.1: Expanding (1 + x)n
- 4.2: Expanding (a + bx)n
- 4.3: Using partial fractions
- Mixed exercise 4
- Review exercise 1
- Chapter 5: Radians
- 5.1: Radian measure
- 5.2: Arc length
- 5.3: Areas of sectors and segments
- 5.4: Solving trigonometric equations
- 5.5: Small angle approximations
- Mixed exercise 5
- Chapter 6: Trigonometric functions
- 6.1: Secant, cosecant and cotangent
- 6.2: Graphs of sec x, cosec x and cot x
- 6.3: Using sec x, cosec x and cot x
- 6.4: Trigonometric identities
- 6.5: Inverse trigonometric functions
- Mixed exercise 6
- Chapter 7: Trigonometry and modelling
- 7.1: Addition formulae
- 7.2: Using the angle addition formulae
- 7.3: Double-angle formulae
- 7.4: Solving trigonometric equations
- 7.5: Simplifying ? cos x ± b sin x
- 7.6: Proving trigonometric identities
- 7.7: Modelling with trigonometric functions
- Mixed exercise 7
- Chapter 8: Parametric equations
- 8.1: Parametric equations
- 8.2: Using trigonometric identities
- 8.3: Curve sketching
- 8.4: Points of intersection
- 8.5: Modelling with parametric equations
- Mixed exercise 8
- Review exercise 2
- Chapter 9: Differentiation
- 9.1: Differentiating sin x and cos x
- 9.2: Differentiating exponentials and logarithms
- 9.3: The chain rule
- 9.4: The product rule
- 9.5: The quotient rule
- 9.6: Differentiating trigonometric functions
- 9.7: Parametric differentiation
- 9.8: Implicit differentiation
- 9.9: Using second derivatives
- 9.10: Rates of change
- Mixed Exercise 9
- Chapter 10: Numerical methods
- 10.1: Locating roots
- 10.2: Iteration
- 10.3: The Newton-Raphson method
- 10.4: Applications to modelling
- Mixed exercise 10
- Chapter 11: Integration
- 11.1: Integrating standard functions
- 11.2: Integrating f(?x + b)
- 11.3: Using trigonometric identities
- 11.4: Reverse chain rule
- 11.5: Integration by substitution
- 11.6: Integration by parts
- 11.7: Partial fractions
- 11.8: Finding areas
- 11.9: The trapezium rule
- 11.10: Solving differential equations
- 11.11: Modelling with differential equations
- 11.12: Integration as the limit of a sum
- Mixed exercise 11
- Chapter 12: Vectors
- 12.1: 3D coordinates
- 12.2: Vectors in 3D
- 12.3: Solving geometric problems
- 12.4: Application to mechanics
- Mixed exercise 12
- Review exercise 3
- Exam-style practice: Paper 1
- Exam-style practice: Paper 2
- Answers
- Index
- Back Cover
