Mathematics for Economics plus MathXL pack

Ian Jacques was formerly a senior lecturer in the School of Mathematical and Information Sciences at Coventry University. He has considerable experience teaching mathematical methods to students studying economics, business and accounting.

Preface 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 linmming 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