Edexcel A Level Mathematics Year 2
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Description
Contents
Reviews
Language
English
ISBN
9781510434554
Cover
Title Page
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 function
5 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
R.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: Pascal’s triangle and the binomial expansion
7.1 The general binomial expansion
7.2 Simplifying algebraic expressions
7.3 Partial fractions
8 Trigonometric identities
8.1 Compound angle formulae
8.2 Double angle formulae
8.3 The forms rcos (θ ± α), rsin (θ ± 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 2
Review: 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 Newton–Raphson method
14.3 Numerical integration
Problem solving: Numerical integration
Practice 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
18 Kinematics
Review: Motion in one dimension
18.1 Motion in two or three dimensions
19 Forces and motion
Review: Forces and motion
19.1 Forces in equilibrium
19.2 Finding resultant forces
19.3 Newton’s second law in two dimensions
20 Moments of forces
20.1 Rigid bodies
21 Projectiles
21.1 Equations for projectile motion
21.2 Projectile problems
21.3 Further examples
21.4 The path of a projectile
21.5 General equations
Problem solving: Fireworks and aeroplanes
22 A model for friction
22.1 A model for friction
Practice questions: Mechanics
Data set
Answers
Index
Back Cover
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