Efnisyfirlit

• Cover Page
• Title
• Copyright
• Contents
• Preface
• INTRODUCTION: Getting Started
• 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
  • 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
  • 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

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