AQA Level 2 Certificate in Further Mathematics (3rd edition)
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Description
Contents
Reviews
Language
English
ISBN
9781036011918
Cover
Title Page
Copyright
Contents
Introduction
Section 1 Algebra
1 Number and algebra I
1.1 Numbers and the number system
1.2 Simplifying expressions
1.3 Solving linear equations
1.4 Algebra and number
1.5 Expanding brackets
1.6 The binomial expansion
1.7 Manipulating surds
1.8 The product rule for counting
2 Algebra II
2.1 Factorising
2.2 Rearranging formulae
2.3 Simplifying algebraic fractions
2.4 Solving linear equations involving fractions
2.5 Completing the square
3 Algebra III
3.1 Function notation
3.2 Domain and range of a function
3.3 Composite functions
3.4 Graphs of functions
3.5 Graphs of linear functions
3.6 Finding the equation of a line
3.7 Graphs of quadratic functions
3.8 Inverse functions
3.9 Transformations of exponential functions
3.10 Graphs of functions with up to three parts to their domains
4 Algebra IV
4.1 Quadratic equations
4.2 Simultaneous equations in two unknowns
4.3 The factor theorem
4.4 Linear inequalities
4.5 Quadratic inequalities
4.6 Indices
4.7 Algebraic proof
4.8 Sequences
4.9 Limiting value of a sequence
4.10 Simultaneous equations in three unknowns
Section 2 Geometry
5 Coordinate geometry
5.1 Parallel and perpendicular lines
5.2 The distance between two points
5.3 The midpoint of a line joining two points
5.4 Equation of a straight line
5.5 The intersection of two lines
5.6 Dividing a line in a given ratio
5.7 Equation of a circle
6 Geometry I
6.1 Mensuration
6.2 Pythagoras’ theorem
6.3 Angle facts
6.4 Circle theorems
6.5 Geometric proof
6.6 Trigonometry in two dimensions
6.7 Trigonometric functions for angles of any size
6.8 The sine and cosine graphs
6.9 The tangent graph
6.10 Solution of trigonometric equations
6.11 Trigonometric identities
7 Geometry II
7.1 The area of a triangle
7.2 The sine rule
7.3 The cosine rule
7.4 Using the sine and cosine rules together
7.5 Problems in three dimensions
7.6 Lines and planes in three dimensions
Section 3 Calculus
8 Calculus
8.1 The gradient of a curve
8.2 Differentiation
8.3 Differentiation using standard results
8.4 Tangents and normals
8.5 Increasing and decreasing functions
8.6 The second derivative
8.7 Stationary points
Section 4 Matrices
9 Matrices
9.1 Multiplying matrices
9.2 Transformations
9.3 The identity matrix
9.4 Transformations of the unit square
9.5 Combining transformations
Key words
Practice questions 1
Practice questions 2
Answers
Index
Back Cover
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