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• Half Title
• Title Page
• Copyright Page
• Contents
• Preface
• INTRODUCTION: Getting Started
• Notes for students: how to use this text
• Tour of textbook features
• Chapter 1 Linear Equations
• 1.1 Introduction to algebra
• 1.1.1 Negative numbers
• 1.1.2 Expressions
• 1.1.3 Brackets
• Key Terms
• Exercise 1.1
• Exercise 1.1*
• 1.2 Further algebra
• 1.2.1 Fractions
• 1.2.2 Equations
• 1.2.3 Inequalities
• Key Terms
• Exercise 1.2
• Exercise 1.2*
• 1.3 Graphs of linear equations
• Key Terms
• Exercise 1.3
• Exercise 1.3*
• 1.4 Algebraic solution of simultaneous linear equations
• Key Term
• Exercise 1.4
• Exercise 1.4*
• 1.5 Supply and demand analysis
• Key Terms
• Exercise 1.5
• Exercise 1.5*
• 1.6 Transposition of formulae
• Key Terms
• Exercise 1.6
• Exercise 1.6*
• 1.7 National income determination
• Key Terms
• Exercise 1.7
• Exercise 1.7*
• Case study 1
• Formal mathematics
• Multiple-choice questions
• Examination questions
• Chapter 2 Non-linear Equations
• 2.1 Quadratic functions
• Key Terms
• Exercise 2.1
• Exercise 2.1*
• 2.2 Revenue, cost and profit
• Key Terms
• Exercise 2.2
• Exercise 2.2*
• 2.3 Indices and logarithms
• 2.3.1 Index notation
• 2.3.2 Rules of indices
• 2.3.3 Logarithms
• 2.3.4 Summary
• Key Terms
• Exercise 2.3
• Exercise 2.3*
• 2.4 The exponential and natural logarithm functions
• Key Terms
• Exercise 2.4
• Exercise 2.4*
• Case study 2
• Formal mathematics
• Multiple-choice questions
• Examination questions
• Chapter 3 Mathematics of Finance
• 3.1 Percentages
• 3.1.1 Index numbers
• 3.1.2 Inflation
• Key Terms
• Exercise 3.1
• Exercise 3.1*
• 3.2 Compound interest
• Key Terms
• Exercise 3.2
• Exercise 3.2*
• 3.3 Geometric series
• Key Terms
• Exercise 3.3
• Exercise 3.3*
• 3.4 Investment appraisal
• Key Terms
• Exercise 3.4
• Exercise 3.4*
• Case study 3
• Formal mathematics
• Multiple-choice questions
• Examination questions
• Chapter 4 Differentiation
• 4.1 The derivative of a function
• Key Terms
• Exercise 4.1
• Exercise 4.1*
• 4.2 Rules of differentiation
• Rule 1 The constant rule
• Rule 2 The sum rule
• Rule 3 The difference rule
• Key Terms
• Exercise 4.2
• Exercise 4.2*
• 4.3 Marginal functions
• 4.3.1 Revenue and cost
• 4.3.2 Production
• 4.3.3 Consumption and savings
• Key Terms
• Exercise 4.3
• Exercise 4.3*
• 4.4 Further rules of differentiation
• Rule 4 The chain rule
• Rule 5 The product rule
• Rule 6 The quotient rule
• Exercise 4.4
• Exercise 4.4*
• 4.5 Elasticity
• Key Terms
• Exercise 4.5
• Exercise 4.5*
• 4.6 Optimisation of economic functions
• Key Terms
• Exercise 4.6
• Exercise 4.6*
• 4.7 Further optimisation of economic functions
• Key Term
• Exercise 4.7*
• 4.8 The derivative of the exponential and natural logarithm functions
• Exercise 4.8
• Exercise 4.8*
• Case study 4
• Formal mathematics
• Multiple-choice questions
• Examination questions
• Chapter 5 Partial Differentiation
• 5.1 Functions of several variables
• Key Terms
• Exercise 5.1
• Exercise 5.1*
• 5.2 Partial elasticity and marginal functions
• 5.2.1 Elasticity of demand
• 5.2.2 Utility
• 5.2.3 Production
• Key Terms
• Exercise 5.2
• Exercise 5.2*
• 5.3 Comparative statics
• Key Terms
• Exercise 5.3*
• 5.4 Unconstrained optimisation
• Key Terms
• Exercise 5.4
• Exercise 5.4*
• 5.5 Constrained optimisation
• Key Terms
• Exercise 5.5
• Exercise 5.5*
• 5.6 Lagrange multipliers
• Key Terms
• Exercise 5.6
• Exercise 5.6*
• Case study 5
• Formal mathematics
• Multiple-choice questions
• Examination questions
• Chapter 6 Integration
• 6.1 Indefinite integration
• Key Terms
• Exercise 6.1
• Exercise 6.1*
• 6.2 Definite integration
• 6.2.1 Consumer’s surplus
• 6.2.2 Producer’s surplus
• 6.2.3 Investment flow
• 6.2.4 Discounting
• 6.2.5 Income inequality
• Key Terms
• Exercise 6.2
• Exercise 6.2*
• Case study 6
• Formal mathematics
• Multiple-choice questions
• Examination questions
• Chapter 7 Matrices
• 7.1 Basic matrix operations
• 7.1.1 Transposition
• 7.1.2 Addition and subtraction
• 7.1.3 Scalar multiplication
• 7.1.4 Matrix multiplication
• 7.1.5 Summary
• Key Terms
• Exercise 7.1
• Exercise 7.1*
• 7.2 Matrix inversion
• Key Terms
• Exercise 7.2
• Exercise 7.2*
• 7.3 Cramer’s rule
• Key Term
• Exercise 7.3
• Exercise 7.3*
• Case study 7
• Formal mathematics
• Multiple-choice questions
• Examination questions
• Chapter 8 Linear Programming
• 8.1 Graphical solution of linear programming problems
• Key Terms
• Exercise 8.1
• Exercise 8.1*
• 8.2 Applications of linear programming
• Key Terms
• Exercise 8.2
• Exercise 8.2*
• Case study 8
• Formal mathematics
• Multiple-choice questions
• Examination questions
• Chapter 9 Dynamics
• 9.1 Difference equations
• 9.1.1 National income determination
• 9.1.2 Supply and demand analysis
• Key Terms
• Exercise 9.1
• Exercise 9.1*
• 9.2 Differential equations
• 9.2.1 National income determination
• 9.2.2 Supply and demand analysis
• Key Terms
• Exercise 9.2
• Exercise 9.2*
• Case study 9
• Formal mathematics
• Multiple-choice questions
• Examination questions
• Answers to Problems
• Chapter 1
• Chapter 2
• Chapter 3
• Chapter 4
• Chapter 5
• Chapter 6
• Chapter 7
• Chapter 8
• Chapter 9
• Glossary
• Index
• Back Cover