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.
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.
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.
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.
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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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.
AQA A Level Mathematics Year 2.
9781471852893
Mathematical ability in children.
Mathematical ability.
Mathematical ability in children.
Mathematical ability.
510
23
BF456
.
N7
.
A63
2017
Muscat, Sophie Goldie, Susan Whitehouse, Val Hanrahan, Cath Moore, Jean Paul.