A-Levels Pure Mathematics

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

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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