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MEI A Level Mathematics for Year 2
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MEI A Level Mathematics for Year 2: student book : fourth edition

Series: MEI

Format: Paperback

ISBN: 9781471852985

Publication Date: 28 Jul 2017

Subject: Mathematics

Suitable for: Secondary (Year 12, Year 13)

Encourage every student to develop a deeper understanding of mathematical concepts and their applications with textbooks that draw on the well-known MEI (Mathematics in Education and Industry) series, updated and tailored to the 2017 OCR (MEI) specification and developed by subject specialists and MEI.

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Summary

Encourage every student to develop a deeper understanding of mathematical concepts and their applications with textbooks that draw on the well-known MEI (Mathematics in Education and Industry) series, updated and tailored to the 2017 OCR (MEI) specification and developed by subject specialists and MEI.

Endorsed for OCR.

-Develop problem-solving, proof and modelling skills with plenty of
questions and well-structured exercises that build skills and
mathematical techniques.
-Build connections between topics, using real-world contexts to help
develop mathematical modelling skills, thus providing a fuller and more
coherent understanding of mathematical concepts.
-Prepare students for assessment with practice questions written by
subject specialists.
-Ensure coverage of the new statistics requirements with five dedicated
statistics chapters and questions around the use of large data sets.
-Supports the use of technology with a variety of questions based around
the use of spreadsheets, graphing software and graphing calculators.
-Provide clear paths of progression that combine pure and applied maths
into a coherent whole.
-Reinforce Year 1 content with short review chapters.

Contents

Getting the most from this book
Prior knowledge

1 Proof
1 Problem solving
2 Methods of proof
2 Trigonometry
1 Radians
2 Circular measure
3 Small-angle approximations
Review: Algebra 1
1 Surds and indices
2 Exponentials and logarithms
3 Sequences and series
1 Definitions and notation
2 Arithmetic sequences and series
3 Geometric sequences and series
Review: Algebra 2
1 Equations and inequalities
2 Polynomials
4 Functions
Review: Graphs and transformations
1 The language of functions
2 Composite functions
3 The modulus function
5 Differentiation
Review: Differentiation
1 The shape of curves
2 The chain rule
3 Connected rates of change
4 The product and quotient rules
Practice questions: Pure Mathematics 1
Review: The sine and cosine rules
1 Working with triangles
Problem solving: Triples
6 Trigonometric functions
1 Reciprocal trigonometric functions
2 Working with trigonometric equations and identities
3 Solving equations involving radians
7 Further algebra
Review: Pascal's triangle and the binomial expansion
1 The general binomial expansion
2 Simplifying algebraic expressions
3 Partial fractions
8 Trigonometric identities
1 Compound angle formulae
2 Double angle formulae
3 The forms rcos (q ± a), rsin(q ± a)
9 Further differentiation
1 Differentiating exponentials and logarithms
2 Differentiating trigonometric functions
3 Implicit differentiation
10 Integration
Review: Integration
1 Finding areas
2 Integration by substitution
3 Integrating other functions
4 Integration involving the natural logarithmic function
5 Further integration by substitution
6 Integration by parts
Practice questions: Pure Mathematics 2
Review: Coordinate geometry
1 Line segments
2 Circles
Problem solving: Eggs
11 Parametric equations
1 Graphs from parametric equations
2 Finding the equation by eliminating the parameter
3 Parametric differentiation
12 Vectors
1 Vectors
2 Using vectors to solve problems
13 Differential equations
1 First order differential equations
2 Solving differential equations by separating the variables
14 Numerical methods
1 Solving equations numerically
2 The Newton-Raphson method
3 Numerical integration
Problem solving: Numerical integration
Practice questions: Pure Mathematics 3
Review: Working with data
1 Statistical problem solving
Problem solving: Trains
15 Probability
Review
1 The probability of events from two experiments
2 Conditional probability
16 Statistical distributions
Review
1 Discrete random variables
2 The Normal distribution
17 Statistical hypothesis testing
Review
1 Interpreting sample data using the Normal distribution
2 Bivariate data: correlation and association
Practice questions: Statistics
18 Kinematics
Review
1 Motion in two or three dimensions
19 Forces and motion
Review
1 Forces in equilibrium
2 Finding resultant forces
3 Newton's second law in two dimensions
20 Moments of forces
1 Rigid bodies
21 Projectiles
1 Equations for projectile motion
2 Projectile problems
3 Further examples
4 The path of a projectile
5 General equations
Problem solving: Fireworks and aeroplanes
22 A model for friction
1 A model for friction
Practice questions: Mechanics

Answers
Index
Acknowledgements

Category
NF
Subject
Mathematics
Dewey
510
Reading age
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Interest level
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Series
MEI
Publisher
Pub. date
28 Jul 2017
Edition
Original
ISBN
9781471852985
BIC code
Binding
Paperback
Pages
592
Width
213mm
Height
276mm
Weight
1624g
Index
Yes
Contents page
Yes
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