MEI A Level Mathematics Year 1 (AS) 4th Edition
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Description
Contents
Reviews
Language
English
ISBN
9781510455573
Cover
Title Page
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 lines
5.4 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 The equation of a transformed curve
8.4 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 ï¬rst principles
Problem solving: Proofs
11 Integration
11.1 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 data
15.3 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 the 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
19.1 The language of motion
19.2 Speed and velocity
19.3 Acceleration
19.4 Using areas to ï¬nd distances and displacements
19.5 The constant acceleration formulae
19.6 Further examples
20 Forces and Newtonâs laws of motion
20.1 Force diagrams
20.2 Force and motion
20.3 Types of forces
20.4 Pulleys
20.5 Applying Newtonâs second law along a line
20.6 Newtonâs second law applied to connected objects
Problem solving: Reviewing models for air resistance
21 Variable acceleration
21.1 Using differentiation
21.2 Using integration
21.3 The constant acceleration formulae revisited
Problem solving: Human acceleration
Practice questions: Mechanics
Data set
Answers
Index
Back Cover
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