Preface Introduction: Getting Started
Notes for students: how to use this book
Getting started with MyMathLab
Getting started with Excel
Getting started with Maple
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
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
3 Mathematics of Finance
3.1 Percentages
3.2 Compound interest
3.3 Geometric series
3.4 Investment appraisal
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 Optimization of economic functions
4.7 Further optimization of economic functions
4.8 The derivative of the exponential and natural logarithm functions
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
6 Integration
6.1 Indefinite integration
6.2 Definite integration
7 Matrices
7.1 Basic matrix operations
7.2 Matrix inversion
7.3 Cramer’s rule
7.4 Input–output analysis
8 Linear Prgamming
8.1 Graphical solution of linear programming problems
8.2 Applications of linear programming
9 Dynamics
9.1 Difference equations
9.2 Differential equations
Appendix 1 Differentiation from First Principles
Appendix 2 Implicit Differentiation
Appendix 3 Hessians
Solutions to Problems
Glossary
Index