Mathematics for Economics and Business

-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  
-1.2 Further algebra
-1.3 Graphs of linear equations
-1.4 Algebraic solution of simultaneous linear equations
-1.5 Supply and demand analysis
-1.6 Transposition of formulae
-1.7 National income determination 




-Case study 1 
-Formal mathematics
-Multiple-choice questions
-Examination questions


CHAPTER 2 Non-linear Equations

-2.1 Quadratic functions  
-2.2 Revenue, cost and profit  
-2.3 Indices and logarithms  
-2.4 The exponential and natural logarithm functions  




-Case study 2 
-Formal mathematics
-Multiple-choice questions  
-Examination questions  


CHAPTER 3 Mathematics of Finance

-3.1 Percentages  
-3.2 Compound interest  
-3.3 Geometric series 
-3.4 Investment appraisal 




-Case study 3 
-Formal mathematics 
-Multiple-choice questions  
-Examination questions


CHAPTER 4 Differentiation

-4.1 The derivative of a function 
-4.2 Rules of differentiation  
-4.3 Marginal functions
-4.4 Further rules of differentiation
-4.5 Elasticity
-4.6 Optimisation of economic functions  
-4.7 Further optimisation of economic functions
-4.8 The derivative of the exponential and natural logarithm




-Case study 4 
-Formal mathematics
-Multiple-choice questions
-Examination questions


CHAPTER 5 Partial Differentiation 

-5.1 Functions of several variables 
-5.2 Partial elasticity and marginal functions
-5.3 Comparative statics
-5.4 Unconstrained optimisation
-5.5 Constrained optimisation 
-5.6 Lagrange multipliers 




-Case study 5 
-Formal mathematics
-Multiple-choice questions  
-Examination questions


CHAPTER 6 Integration 

-6.1 Indefinite integration  
-6.2 Definite integration




-Case study 6 
-Formal mathematics  
-Multiple-choice questions
-Examination questions


CHAPTER 7 Matrices 

-7.1 Basic matrix operations
-7.2 Matrix inversion
-7.3 Cramer's rule




-Case study 7 
-Formal mathematics
-Multiple-choice questions
-Examination questions


CHAPTER 8 Linear Programming 

-8.1 Graphical solution of linear programming problems 
-8.2 Applications of linear programming




-Case study 8 
-Formal mathematics  
-Multiple-choice questions  
-Examination questions 


CHAPTER 9 Dynamics 

-9.1 Difference equations  
-9.2 Differential equations




-Case study 9 
-Formal mathematics  
-Multiple-choice questions  
-Examination questions 
-Answers to Problems 
-Glossary
-Index