Title: A-Levels Pure Mathematics

Author: Ann Whitehouse

Year of Publication: 1990

Published by: HLT Publications

ISBN: 1853528374

Contents:

Chapter 1: Essential Algebra

1.1 Revision of basic algebra techniques

1.2 The quadratic function

1.3 General algebraic functions

1.4 Indices and logarithms

Chapter 2: Power Series and Expansion

2.1 Series

2.2 Binomial theorem

2.3 Log and exponential functions

2.4 Expansions

Chapter 3: Trigonometry

3.1 Basic trigonometry

3.2 Angle formulae and application

3.3 Trigonometrical equations

3.4 Solution of triangles

Chapter 4: Differential Calculus

4.1 Introduction to differentiation

4.2 Further differentiation

4.3 Other functions

4.4 Applications of differentiation

Chapter 5: Integral Calculus

5.1 Introduction to integration

5.2 Further integration

5.3 Area under a curve

5.4 Further applications of integration

Chapter 6: Line, Circle, Parabola

6.1 Graphical work

6.2 Introduction to the straight line

6.3 Loci

6.4 Circle and parabola

Chapter 7: Approximations and Series

7.1 Solutions of equations

7.2 Hyperbolic functions

7.3 Further work on series

Chapter 8: Conics

8.1 Curve sketching

8.2 Polar coordinates

8.3 Ellipse

8.4 Hyperbola

Chapter 9: Complex Numbers and Vectors

9.1 Complex numbers

9.2 Further theory on complex numbers

9.3 Vectors

Chapter 10: Three-dimensional Geometry and Vectors

10.1 Three-dimensional coordinate geometry

10.2 Further three-dimensional coordinate geometry

10.3 Vectors in three dimensions

10.4 Further vector work

Chapter 11: Further Calculus: Differential Equations

11.1 Differentiation and integration

11.2 Applications of calculus

11.3 Differential equtions

Chapter 12: Set Theory and Probability

12.1 Set theory

12.2 Functions

12.3 Permutations and combinations

12.4 Probability

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## Author: ascklee

Dr. Lee teaches at the Wee Kim Wee School of Communication and Information at the Nanyang Technological University in Singapore. He founded The Mathematics Digital Library in 2013.
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