Cambridge International AS and A Level Mathematics Pure Mathematics 2 and 3
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Sophie Goldie
Roger Porkess
pure math
Hodder
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Cambridge International AS and A Level Mathematics Pure Mathematics 2 and 3
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P2 Pure Mathematics 2
Theory
Page 10
Chapter 1: Algebra
Theory
Page 11
Operations with Polynomials
Theory
Page 12
Solution of Polynomial Equations
Theory
Page 17
The Modulus Function
Theory
Page 26
Chapter 2: Logarithms and Exponentials
Theory
Page 32
Logarithms
Theory
Page 32
Exponential Functions
Theory
Page 37
Modelling Curves
Theory
Page 39
The Natural Logarithm Function
Theory
Page 48
The Exponential Function
Theory
Page 52
Chapter 3: Trigonometry
Theory
Page 60
Reciprocal Trigonometric Functions
Theory
Page 61
Compound-Angle Formulae
Theory
Page 64
Double-Angle Formulae
Theory
Page 70
The Forms r cos(θ ± α), r sin(θ ± α)
Theory
Page 75
The General Solutions of Trigonometric Equations
Theory
Page 84
Chapter 4: Differentiation
Theory
Page 87
The Product Rule
Theory
Page 87
The Quotient Rule
Theory
Page 89
Differentiating Natural Logarithms and Exponentials
Theory
Page 94
Differentiating Trigonometric Functions
Theory
Page 101
Differentiating Functions Defined Implicitly
Theory
Page 106
Parametric Equations
Theory
Page 113
Parametric Differentiation
Theory
Page 117
Chapter 5: Integration
Theory
Page 126
Integrals Involving the Exponential Function
Theory
Page 126
Integrals Involving the Natural Logarithm Function
Theory
Page 126
Integrals Involving Trigonometrical Functions
Theory
Page 133
Numerical Integration
Theory
Page 137
Chapter 6: Numerical Solution of Equations
Theory
Page 145
Interval Estimation – Change-of-Sign Methods
Theory
Page 146
Fixed-Point Iteration
Theory
Page 151
P3 Pure Mathematics 3
Theory
Page 162
Chapter 7: Further Algebra
Theory
Page 163
The General Binomial Expansion
Theory
Page 164
Review of Algebraic Fractions
Theory
Page 173
Partial Fractions
Theory
Page 175
Using Partial Fractions with the Binomial Expansion
Theory
Page 182
Chapter 8: Further Integration
Theory
Page 186
Integration by Substitution
Theory
Page 187
Integrals Involving Exponentials and Natural Logarithms
Theory
Page 192
Integrals Involving Trigonometrical Functions
Theory
Page 196
The Use of Partial Fractions in Integration
Theory
Page 199
Integration by Parts
Theory
Page 203
General Integration
Theory
Page 213
Chapter 9: Differential Equations
Theory
Page 217
Forming Differential Equations from Rates of Change
Theory
Page 218
Solving Differential Equations
Theory
Page 223
Chapter 10: Vectors
Theory
Page 236
The Vector Equation of a Line
Theory
Page 236
The Intersection of Two Lines
Theory
Page 243
The Angle Between Two Lines
Theory
Page 249
The Perpendicular Distance from a Point to a Line
Theory
Page 253
The Vector Equation of a Plane
Theory
Page 256
The Intersection of a Line and a Plane
Theory
Page 261
The Distance of a Point from a Plane
Theory
Page 263
The Angle Between a Line and a Plane
Theory
Page 265
The Intersection of Two Planes
Theory
Page 271
Chapter 11: Complex Numbers
Theory
Page 280
The Growth of the Number System
Theory
Page 280
Working with Complex Numbers
Theory
Page 282
Representing Complex Numbers Geometrically
Theory
Page 290
Sets of Points in an Argand Diagram
Theory
Page 293
The Modulus–Argument Form of Complex Numbers
Theory
Page 296
Sets of Points Using the Polar Form
Theory
Page 302
Working with Complex Numbers in Polar Form
Theory
Page 305
Complex Exponents
Theory
Page 308
Complex Numbers and Equations
Theory
Page 311
Answers
Answer
Page 318
Index
Other
Page 350
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