My Revision Notes: AQA Level 2 Certificate in Further Mathematics
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Description
Contents
Reviews
Language
English
ISBN
9781510460805
Cover
Title Page
Copyright
My revision planner
SECTION 1 ALGEBRA
Target your revision (Chapters 1–4)
Chapter 1A GCSE-level revision for number and algebra
1.1 Numbers and the number system
1.2 Simplifying algebraic expressions
1.3 Solving linear equations
1.4 Algebra and number
Chapter 1B Further revision for number and algebra
1.5 The product rule for counting
1.6 Expanding brackets
1.7 Binomial expansions – using Pascal’s triangle
1.8 Manipulating surds
Chapter 2 Algebra II
2.1 Factorising
2.2 Rearranging formulae
2.3 Simplifying algebraic fractions and solving equations
2.4 Completing the square
Chapter 3 Algebra III
3.1 Function notation and composite functions
3.2 Inverse functions
3.3 Drawing graphs
3.4 Graphs of exponential functions
3.5 Graphs of functions with more than one part to their domains
Chapter 4 Algebra IV
4.1 Quadratic equations
4.2 Simultaneous equations
4.3 Solving cubic equations
4.4 Inequalities
4.5 Index laws
4.6 Algebraic proof
4.7 Sequences
Review questions (Chapters 1–4)
Target your revision (Chapters 5–9)
SECTION 2 GEOMETRY
Chapter 5 Coordinate geometry
5.1 Points and lines
5.2 The equation of a line and intersections
5.3 The circle
5.4 Circle geometry
Chapter 6 Geometry I
6.1 GCSE Revision on mensuration and angles
6.2 Circle theorems
6.3 Geometric proof
6.4 Trigonometry in two dimensions
6.5 Trigonometric functions for angles of any size
Chapter 7 Geometry II
7.1 The area of a triangle
7.2 The sine and cosine rules
7.3 Problems in three dimensions
Review questions (Chapters 5–7)
SECTION 3 CALCULUS
Chapter 8 Calculus
8.1 Differentiation and gradients of curves
8.2 Tangents and normals
8.3 Increasing and decreasing functions and the second derivative
8.4 Stationary points
Review questions (Chapter 8)
SECTION 4 MATRICES
Chapter 9 Matrices
9.1 Multiplying matrices
9.2 Transformations
9.3 Combining transformations
Review questions (Chapter 9)
Exam preparation
Formulae you need to learn
During your exam
Answers
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