OCR Level 3 Free Standing Mathematics Qualification: Additional Maths (2nd edition)
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Description
Contents
Reviews
Language
English
ISBN
9781510449664
Cover
Title Page
Copyright
Contents
Introduction
SECTION 1 ALGEBRA
1 Algebraic manipulation
Simplifying algebraic fractions
Simplifying expressions containing square roots
2 Polynomials, functions and equations
Addition and subtraction of polynomials
Multiplication of polynomials
Division of polynomials
The factor theorem
Quadratic equations
3 Applications of equations and inequalities in one variable
Applications of equations
Inequalities
4 Sequences and recurrence relationships
Sequences and recurrence relationships
SECTION 2 COORDINATE GEOMETRY
5 Points, lines and circles
The line joining two points
The coordinate geometry of circles
6 Graphs
Linear and polynomial functions
Trigonometric and exponential functions
7 Linear inequalities in two variables
Illustrating linear inequalities in two variables
Using inequalities for problem solving
Linear programming
SECTION 3 TRIGONOMETRY
8 Trigonometric functions
Trigonometric functions for angles of any size
The sine and cosine rules
Identities involving sin θ, cos θ and tan θ
Using trigonometrical identities to solve equations
9 Applications of trigonometry
Applications in modelling
Working in three dimensions
SECTION 4 SELECTIONS
10 Permutations and combinations
Probability diagrams
Factorials and the product rule
Permutations and combinations
11 The binomial distribution
Binomial expansion
The binomial distribution
SECTION 5 POWERS AND ITERATION
12 Exponentials and logarithms
Properties of the exponential function
Logarithms
Reduction to linear form
Equations involving exponentials
13 Numerical methods
Locating a root of an equation
Improving a root
Iterative sequences
Gradients of tangents
Area under a curve
Applications of numerical methods
SECTION 6 CALCULUS
14 Differentiation
Differentiation
The gradient of a curve
Stationary points
Extension – the second derivative
15 Integration
The rule for integrating xn where n is a positive integer
The integral notation
Definite integrals
Areas between a curve and the x-axis
Areas below the x-axis
The area between two curves
16 Application to kinematics
Motion in a straight line
Acceleration due to gravity
Finding displacement from velocity and velocity from acceleration
PRACTICE QUESTIONS
Practice Questions Paper 1
Practice Questions Paper 2
Answers
Index
Back Cover
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