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Ŀ¼ PREFACE
GUIDED TOUR OF THE TEXTBOOK
GUIDED TOUR OF THE ONLINE RESOURCES
INTRODUCTION: Getting Started
NOTES FOR STUDENTS: HOW TO USE THIS BOOK
CHAPTER 1 Linear Equations
SECTION 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*
SECTION 1.2 Further algebra
1.2.1 Fractions
1.2.2 Equations
1.2.3 Inequalities
Key Terms
Exercise 1.2
Exercise 1.2*
SECTION 1.3 Graphs of linear equations
Key Terms
Exercise 1.3
Exercise 1.3*
SECTION 1,4 Algebraic solution of simultaneous linear equations
Key Term
Exercise 1.4
Exercise 1.4*
SECTION 1.5 Supply and demand analysis
Key Terms
Exercise 1.5
Exercise 1.5*
SECTION 1.6 Transposition of formulae
Key Terms
Exercise 1.6
Exercise 1.6*
SECTION 1.7 National income determination
Key Terms
Exercise 1.7
Exercise 1.7*
Formal mathematics
key Terms
CHAPTER 2 Non-linear Equations
SECTION 2.1 Quadratic functions
Key Terms
Exercise 2.1
Exercise 2.1*
SECTION 2.2 Revenue, cost and profit
Key Terms
Exercise 2.2
Exercise 2.2
SECTION 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
SECTION 2.4 The exponential and natural logarithm functions
Key Terms
Exercise 2.4
Exercise 2.4
Formal mathematics
key Terms
CHAPTER 3 Mathematics of Finance
SECTION 3.1 Percentages
3.1.1 Index numbers
3.1.2 Inflation
Key Terms
Exercise 3.1
Exercise 3.1*
SECTION 3.2 Compound interest
Key Terms
Exercise 3.2
Exercise 3.2
SECTION 3.3 Geometric series
Key Terms
Exercise 3.3
Exercise 3.3
SECTION 3.4 Investment appraisal
Key Terms
Exercise 3.4
Exercise 3.4
Formal mathematics
key Terms
CHAPTER 4 Differentiation
SECTION 4.1 The derivative of a function
Key Terms
Exercise 4.1
CHAPTER 2 Non-linear Equations
SECTION 2.1 Quadratic functions
Key Terms
Exercise 2.1
Exercise 2.1*
SECTION 2.2 Revenue, cost and profit
Key Terms
Exercise 2.2
Exercise 2.2
SECTION 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
SECTION 2.4 The exponential and natural logarithm functions
Key Terms
Exercise 2.4
Exercise 2.4
Formal mathematics
key Terms
CHAPTER 3 Mathematics of Finance
SECTION 3.1 Percentages
3.1.1 Index numbers
3.1.2 Inflation
Key Terms
Exercise 3.1
Exercise 3.1*
SECTION 3.2 Compound interest
Key Terms
Exercise 3.2
Exercise 3.2
SECTION 3.3 Geometric series
Key Terms
Exercise 3.3
Exercise 3.3
SECTION 3.4 Investment appraisal
Key Terms
Exercise 3.4
Exercise 3.4
Formal mathematics
key Terms
CHAPTER 4 Differentiation
SECTION 4.1 The derivative of a function
Key Terms
Exercise 4.1
Exercise 4.1
SECTION 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*
SECTION 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*
SECTION 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*
SECTION 4.5 Elasticity
Key Terms
Exercise 4.5
Exercise 4.5*
SECTION 4.60ptimisation of economic functions
Key Terms
Exercise 4.6
Exercise 4.6*
SECTION 4.7 Further optimisation of economic functions
Exercise 4.7*
SECTION 4.8 The derivative of the exponential and natural logarithm functions
Exercise 4.8
Exercise 4.8*
Formal mathematics
CHAPTER 5 Partial Differentiation
SECTION 5.1 Functions of several variables
Key Terms
Exercise 5.1
Exercise 5.1*
SECTION 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*
SECTION 5.3 Comparative statics
Key Terms
Exercise 5.3*
SECTION 5.4 Unconstrained optimisation
Key Terms
Exercise 5.4
Exercise 5.4*
SECTION 5.5 Constrained optimisation
Key Terms
Exercise 5.5
Exercise 5.5*
SECTION 5.6 Lagrange multipliers
Key Terms
Exercise 5.6
Exercise 5.6*
Formal mathematics
CHAPTER 6 Integration
SECTION 6.1 Indefinite integration
Key Terms
Exercise 6.1
Exercise 6.1*
SECTION 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
Key Terms
Exercise 6.2
Exercise 6.2*
Formal mathematics
CHAPTER 7 Matrices
SECTION 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*
SECTION 7.2 Matrix inversion
Key Terms
Exercise 7.2
Exercise 7.2*
SECTION 7.3 Cramer's rule
Key Term
Exercise 7.3
Exercise 7.3*
Formal mathematics
CHAPTER 8 Linear Programming
SECTION 8.1 Graphical solution of linear programming problems
Key Terms
Exercise 8.1
Exercise 8.1*
SECTION 8.2 Applications of linear programming
Key Term
Exercise 8.2
Exercise 8.2*
Formal mathematics
CHAPTER 9 Dynamics
SECTION 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*
SECTION 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*
Formal mathematics
Answers
Chapter 1
Chapter 2
Chapter 3
Chapter 4
Chapter 5
Chapter 6
Chapter 7
Chapter 8
Chapter 9
GLOSSARY
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PREFACE GUIDED TOUR OF THE TEXTBOOK GUIDED TOUR OF THE ONLINE RESOURCES INTRODUCTION: Getting Started NOTES FOR STUDENTS: HOW TO USE THIS BOOK CHAPTER 1 Linear Equations SECTION 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* SECTION 1.2 Further algebra 1.2.1 Fractions 1.2.2 Equations 1.2.3 Inequalities Key Terms Exercise 1.2 Exercise 1.2* SECTION 1.3 Graphs of linear equations Key Terms Exercise 1.3 Exercise 1.3* SECTION 1,4 Algebraic solution of simultaneous linear equations Key Term Exercise 1.4 Exercise 1.4* SECTION 1.5 Supply and demand analysis Key Terms Exercise 1.5 Exercise 1.5* SECTION 1.6 Transposition of formulae Key Terms Exercise 1.6 Exercise 1.6* SECTION 1.7 National income determination Key Terms Exercise 1.7 Exercise 1.7* Formal mathematics key Terms CHAPTER 2 Non-linear Equations SECTION 2.1 Quadratic functions Key Terms Exercise 2.1 Exercise 2.1* SECTION 2.2 Revenue, cost and profit Key Terms Exercise 2.2 Exercise 2.2 SECTION 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 SECTION 2.4 The exponential and natural logarithm functions Key Terms Exercise 2.4 Exercise 2.4 Formal mathematics key Terms CHAPTER 3 Mathematics of Finance SECTION 3.1 Percentages 3.1.1 Index numbers 3.1.2 Inflation Key Terms Exercise 3.1 Exercise 3.1* SECTION 3.2 Compound interest Key Terms Exercise 3.2 Exercise 3.2 SECTION 3.3 Geometric series Key Terms Exercise 3.3 Exercise 3.3 SECTION 3.4 Investment appraisal Key Terms Exercise 3.4 Exercise 3.4 Formal mathematics key Terms CHAPTER 4 Differentiation SECTION 4.1 The derivative of a function Key Terms Exercise 4.1 CHAPTER 2 Non-linear Equations SECTION 2.1 Quadratic functions Key Terms Exercise 2.1 Exercise 2.1* SECTION 2.2 Revenue, cost and profit Key Terms Exercise 2.2 Exercise 2.2 SECTION 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 SECTION 2.4 The exponential and natural logarithm functions Key Terms Exercise 2.4 Exercise 2.4 Formal mathematics key Terms CHAPTER 3 Mathematics of Finance SECTION 3.1 Percentages 3.1.1 Index numbers 3.1.2 Inflation Key Terms Exercise 3.1 Exercise 3.1* SECTION 3.2 Compound interest Key Terms Exercise 3.2 Exercise 3.2 SECTION 3.3 Geometric series Key Terms Exercise 3.3 Exercise 3.3 SECTION 3.4 Investment appraisal Key Terms Exercise 3.4 Exercise 3.4 Formal mathematics key Terms CHAPTER 4 Differentiation SECTION 4.1 The derivative of a function Key Terms Exercise 4.1 Exercise 4.1 SECTION 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* SECTION 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* SECTION 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* SECTION 4.5 Elasticity Key Terms Exercise 4.5 Exercise 4.5* SECTION 4.60ptimisation of economic functions Key Terms Exercise 4.6 Exercise 4.6* SECTION 4.7 Further optimisation of economic functions Exercise 4.7* SECTION 4.8 The derivative of the exponential and natural logarithm functions Exercise 4.8 Exercise 4.8* Formal mathematics CHAPTER 5 Partial Differentiation SECTION 5.1 Functions of several variables Key Terms Exercise 5.1 Exercise 5.1* SECTION 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* SECTION 5.3 Comparative statics Key Terms Exercise 5.3* SECTION 5.4 Unconstrained optimisation Key Terms Exercise 5.4 Exercise 5.4* SECTION 5.5 Constrained optimisation Key Terms Exercise 5.5 Exercise 5.5* SECTION 5.6 Lagrange multipliers Key Terms Exercise 5.6 Exercise 5.6* Formal mathematics CHAPTER 6 Integration SECTION 6.1 Indefinite integration Key Terms Exercise 6.1 Exercise 6.1* SECTION 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 Key Terms Exercise 6.2 Exercise 6.2* Formal mathematics CHAPTER 7 Matrices SECTION 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* SECTION 7.2 Matrix inversion Key Terms Exercise 7.2 Exercise 7.2* SECTION 7.3 Cramer's rule Key Term Exercise 7.3 Exercise 7.3* Formal mathematics CHAPTER 8 Linear Programming SECTION 8.1 Graphical solution of linear programming problems Key Terms Exercise 8.1 Exercise 8.1* SECTION 8.2 Applications of linear programming Key Term Exercise 8.2 Exercise 8.2* Formal mathematics CHAPTER 9 Dynamics SECTION 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* SECTION 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* Formal mathematics Answers Chapter 1 Chapter 2 Chapter 3 Chapter 4 Chapter 5 Chapter 6 Chapter 7 Chapter 8 Chapter 9 GLOSSARY |
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