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Ian Jacques was formerly a senior lecturer at Coventry University. He has considerable experience teaching mathematical methods to students studying economics, business and accounting.
Table of Contents
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
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
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
CHAPTER 3 Mathematics of Finance
3.2 Compound interest
3.3 Geometric series
3.4 Investment appraisal
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
4.6 Optimisation of economic functions
4.7 Further optimisation of economic functions
4.8 The derivative of the exponential and natural logarithm functions
CHAPTER 5 Partial Differentiation
5.1 Functions of several variables
5.2 Partial elasticity and marginal functions
5.3 Comparative statics
5.4 Unconstrained optimization
5.5 Constrained optimization
5.6 Lagrange multipliers
CHAPTER 6 Integration
6.1 Indefinite integration
6.2 Definite integration
CHAPTER 7 Matrices
7.1 Basic matrix operations
7.2 Matrix inversion
7.3 Cramer's rule
CHAPTER 8 Linear Programming
8.1 Graphical solution of linear programming problems
8.2 Applications of linear programming
CHAPTER 9 Dynamics
9.1 Difference equations
9.2 Differential equations
Answers to Problems
The following additional material is available as part of the online resources supporting this title either at www.pearsoned.co.uk/jacques or included in MyMathLab.
Solutions to Problems
AT1 Differentiation from First Principles
AT2 Implicit Differentiation
AT4 Input-Output Analysis