AQA A Level Mathematics for A Level Year 1 and AS

Cover
 Book title
 Copyright
 Contents
 Getting the most from this book
 Prior knowledge
 1 Problem solving
 1.1 Solving problems
 1.2 Writing mathematics
 1.3 Proof
 Problem solving: Mountain modelling
 2 Surds and indices
 2.1 Using and manipulating surds
 2.2 Working with indices
 3 Quadratic functions
 3.1 Quadratic graphs and equations
 3.2 The completed square form
 3.3 The quadratic formula
 4 Equations and inequalities
 4.1 Simultaneous equations
 4.2 Inequalities
 5 Coordinate geometry
 5.1 Working with coordinates
 5.2 The equation of a straight line. 5.3 The intersection of two lines5.4 The circle
 5.5 The intersection of a line and a curve
 Problem solving: Integer point circles
 Practice questions: Pure mathematics 1
 6 Trigonometry
 6.1 Trigonometric functions
 6.2 Trigonometric functions for angles of any size
 6.3 Solving equations using graphs of trigonometric functions
 6.4 Triangles without right angles
 6.5 The area of a triangle
 7 Polynomials
 7.1 Polynomial expressions
 7.2 Dividing polynomials
 7.3 Polynomial equations
 8 Graphs and transformations
 8.1 The shapes of curves
 8.2 Using transformations to sketch curves. 8.3 Using transformations8.4 Transformations and graphs of trigonometric functions
 9 The binomial expansion
 9.1 Binomial expansions
 9.2 Selections
 Practice questions: Pure mathematics 2
 10 Differentiation
 10.1 The gradient of the tangent as a limit
 10.2 Differentiation using standard results
 10.3 Tangents and normals
 10.4 Increasing and decreasing functions, and turning points
 10.5 Sketching the graphs of gradient functions
 10.6 Extending the rule
 10.7 Higher order derivatives
 10.8 Practical problems
 10.9 Finding the gradient from first principles
 Problem solving: Proofs. 11 Integration11.1 Integration as the reverse of differentiation
 11.2 Finding areas
 11.3 Areas below the x axis
 11.4 Further integration
 12 Vectors
 12.1 Vectors
 12.2 Working with vectors
 12.3 Vector geometry
 13 Exponentials and logarithms
 13.1 Exponential functions
 13.2 Logarithms
 13.3 The exponential function
 13.4 The natural logarithm function
 13.5 Modelling curves
 Practice questions: Pure mathematics 3
 14 Data collection
 14.1 Using statistics to solve problems
 14.2 Sampling
 15 Data processing, presentation and interpretation
 15.1 Presenting different types of data. 15.2 Ranked data15.3 Discrete numerical data
 15.4 Continuous numerical data
 15.5 Bivariate data
 15.6 Standard deviation
 16 Probability
 16.1 Working with probability
 Problem solving: Alphabet puzzle
 Problem solving: Estimating minnows
 17 The binomial distribution
 17.1 Introduction to binomial distribution
 17.2 Using the binomial distribution
 18 Statistical hypothesis testing using the binomial distribution
 18.1 The principles and language of hypothesis testing
 18.2 Extending the language of hypothesis testing
 Practice questions: Statistics
 19 Kinematics.