AS pure mathematics C1, C2 (MEI structured math 3rd ed)
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Val Hanrahan
Jean Matthews
Roger Porkess
Peter Secker
pure math
Hodder
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AS pure mathematics C1, C2 (MEI structured math 3rd ed)
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C1: Introduction to Advanced Mathematics
Theory
Page 12
Chapter 1: Basic Algebra
Theory
Page 13
Manipulating Algebraic Expressions
Theory
Page 13
Equations
Theory
Page 18
Quadratic Equations
Theory
Page 24
Solving Quadratic Equations
Theory
Page 29
Simultaneous Equations
Theory
Page 39
Chapter 2: Co-ordinate Geometry
Theory
Page 45
Co-ordinates
Theory
Page 45
Plotting, Sketching and Drawing
Theory
Page 46
The Gradient of a Line
Theory
Page 46
The Distance Between Two Points
Theory
Page 48
The Mid-point of a Line Joining Two Points
Theory
Page 49
The Equation of a Straight Line
Theory
Page 53
The Intersection of Two Lines
Theory
Page 66
Curves
Theory
Page 71
The Circle
Theory
Page 72
The Intersection of a Line and a Curve
Theory
Page 79
The Intersection of Two Curves
Theory
Page 82
Chapter 3: Polynomials
Theory
Page 88
Operations with Polynomials
Theory
Page 89
Polynomial Curves
Theory
Page 93
The Graphs of Quadratic Functions
Theory
Page 108
Using Transformations to Sketch the Curves of Functions
Theory
Page 112
Binomial Expansions
Theory
Page 119
Chapter 4: Uncertainty
Theory
Page 130
Errors and Inequalities
Theory
Page 130
The Algebra of Inequalities
Theory
Page 134
Chapter 5: Indices
Theory
Page 138
Working with Square Roots
Theory
Page 138
Negative and Fractional Indices
Theory
Page 141
Chapter 6: The Language of Mathematics
Theory
Page 149
Problem Solving
Theory
Page 149
Types of Numbers
Theory
Page 155
Writing Mathematics
Theory
Page 160
The Converse of a Theorem
Theory
Page 163
Proof
Theory
Page 165
C2: Concepts for Advanced Mathematics
Theory
Page 170
Chapter 7: Sequences and Series
Theory
Page 171
Definitions and Notation
Theory
Page 172
Patterns in Sequences
Theory
Page 173
Arithmetic Sequences and Series
Theory
Page 180
Geometric Sequences and Series
Theory
Page 187
Chapter 8: Differentiation
Theory
Page 202
The Gradient of a Curve
Theory
Page 202
Finding the Gradient of a Curve
Theory
Page 203
Finding the Gradient from First Principles
Theory
Page 205
Differentiating by Using Standard Results
Theory
Page 210
Tangents and Normals
Theory
Page 217
Maximum and Minimum Points
Theory
Page 221
Increasing and Decreasing Functions
Theory
Page 225
Stationary Points
Theory
Page 228
Higher Derivatives
Theory
Page 232
Applications
Theory
Page 238
Chapter 9: Integration
Theory
Page 245
Reversing Differentiation
Theory
Page 245
Finding the Area Under a Curve
Theory
Page 250
Area as the Limit of a Sum
Theory
Page 253
Areas Below the x Axis
Theory
Page 261
The Area Between Two Curves
Theory
Page 265
The Area Between a Curve and the y Axis
Theory
Page 269
Numerical Integration
Theory
Page 271
Chapter 10: Trigonometry
Theory
Page 281
Trigonometrical Functions
Theory
Page 282
Trigonometrical Functions for Angles of Any Size
Theory
Page 286
The Sine and Cosine Graphs
Theory
Page 288
The Tangent Graph
Theory
Page 290
Solution of Equations Using Graphs of Trigonometrical Functions
Theory
Page 291
Triangles Without Right Angles
Theory
Page 296
The Sine Rule
Theory
Page 297
The Cosine Rule
Theory
Page 300
Using the Sine and Cosine Rules Together
Theory
Page 303
The Area of a Triangle
Theory
Page 307
Circular Measure
Theory
Page 310
The Length of an Arc of a Circle
Theory
Page 314
The Area of a Sector of a Circle
Theory
Page 314
More Trigonometrical Graphs
Theory
Page 322
Chapter 11: Logarithms and Exponentials
Theory
Page 330
Logarithms
Theory
Page 330
Exponential Functions
Theory
Page 335
Modelling Curves
Theory
Page 337
Chapter 12: Further Differentiation and Integration
Theory
Page 350
Differentiation
Theory
Page 350
Integration
Theory
Page 358
Answers
Answer
Page 364
Chapter 1 Answers
Answer
Page 364
Chapter 2 Answers
Answer
Page 366
Chapter 3 Answers
Answer
Page 371
Chapter 4 Answers
Answer
Page 375
Chapter 5 Answers
Answer
Page 376
Chapter 6 Answers
Answer
Page 377
Chapter 7 Answers
Answer
Page 379
Chapter 8 Answers
Answer
Page 381
Chapter 9 Answers
Answer
Page 387
Chapter 10 Answers
Answer
Page 391
Chapter 11 Answers
Answer
Page 395
Chapter 12 Answers
Answer
Page 397
Index
Other
Page 399
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