Cover; Book title; Copyright; Contents; Getting the most from this book; Prior knowledge; 1 Proof; 1.1 Problem solving; 1.2 Methods of proof; 2 Trigonometry; 2.1 Radians; 2.2 Circular measure; 2.3 Small-angle approximations; Review: Algebra 1; R.1 Surds and indices; R.2 Exponentials and logarithms; 3 Sequences and series; 3.1 Definitions and notation; 3.2 Arithmetic sequences and series; 3.3 Geometric sequences and series; Review: Algebra 2; R.1 Equations and inequalities; R.2 Polynomials; 4 Functions; Review: Graphs and transformations; 4.1 The language of functions; 4.2 Composite functions.
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4.3 The modulus function5 Differentiation; Review: Differentiation; 5.1 The shape of curves; 5.2 The chain rule; 5.3 Connected rates of change; 5.4 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; 6.1 Reciprocal trigonometric functions; 6.2 Working with trigonometric equations and identities; 6.3 Solving equations involving radians; 7 Further algebra; Review: Pascalâ#x80;#x99;s triangle and the binomial expansion; 7.1 The general binomial expansion.
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7.2 Simplifying algebraic expressions7.3 Partial fractions; 8 Trigonometric identities; 8.1 Compound angle formulae; 8.2 Double angle formulae; 8.3 The forms rcos (Îı ± α), rsin (Îı ± α); 9 Further differentiation; 9.1 Differentiating exponentials and logarithms; 9.2 Differentiating trigonometric functions; 9.3 Implicit differentiation; 10 Integration; Review: Integration; 10.1 Finding areas; 10.2 Integration by substitution; 10.3 Integrating other functions; 10.4 Integration involving the natural logarithmic function; 10.5 Further integration by substitution; 10.6 Integration by parts.
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Practice questions: Pure mathematics 2Review: Coordinate geometry; R.1 Line segments; R.2 Circles; Problem solving: Eggs; 11 Parametric equations; 11.1 Graphs from parametric equations; 11.2 Finding the equation by eliminating the parameter; 11.3 Parametric differentiation; 12 Vectors; 12.1 Vectors; 12.2 Using vectors to solve problems; 13 Differential equations; 13.1 First order differential equations; 13.2 Solving differential equations by separating the variables; 14 Numerical methods; 14.1 Solving equations numerically; 14.2 The Newtonâ#x80;#x93;Raphson method; 14.3 Numerical integration.
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Problem solving: Numerical integrationPractice questions: Pure mathematics 3; Review: Working with data; R.1 Statistical problem solving; Problem solving: Trains; 15 Probability; Review: Probability; 15.1 The probability of events from two experiments; 15.2 Conditional probability; 16 Statistical distributions; Review: The binomial distribution; 16.1 Discrete random variables; 16.2 The Normal distribution; 17 Statistical hypothesis testing; Review; 17.1 Interpreting sample data using the Normal distribution; 17.2 Bivariate data: correlation and association; Practice questions: Statistics.
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SUMMARY OR ABSTRACT
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Give students the confidence to identify connections between topics and apply their reasoning to mathematical problems, so as to develop a deeper understanding of mathematical concepts and their applications, with resources developed with subject specialists and MEI (Mathematics in Education and Industry).- Prepare students for assessment with plenty of practice questions, worked examples and skill-focused exercises. - Help build connections between topics with points of interest and things to notice such as links to real world examples and noticing patterns in the mathematics.- Enhance under.
OTHER EDITION IN ANOTHER MEDIUM
Title
AQA A Level Mathematics Year 2.
International Standard Book Number
9781471852893
TOPICAL NAME USED AS SUBJECT
Mathematical ability in children.
Mathematical ability.
Mathematical ability in children.
Mathematical ability.
DEWEY DECIMAL CLASSIFICATION
Number
510
Edition
23
LIBRARY OF CONGRESS CLASSIFICATION
Class number
BF456
.
N7
Book number
.
A63
2017
PERSONAL NAME - PRIMARY RESPONSIBILITY
Muscat, Sophie Goldie, Susan Whitehouse, Val Hanrahan, Cath Moore, Jean Paul.