Maths for Economics

by Renshaw, Geoff

• ISBN13: 9780199602124
• ISBN10: 0199602123
• Edition: 3rd
• Format: Paperback
• Copyright: 2012-01-13
• Publisher: Oxford University Press

Summary

Many years of teaching led Geoff Renshaw to develop Maths for Economics as a resource which builds your self-confidence in maths by using a gradual learning gradient and constantly reinforcing learning with examples and exercises. Some students embarking on this module feel that they have lost their confidence in maths, or perhaps never had any in the first place. The author has designed the book so that whether you have a maths A level, GCSE, or perhaps feel that you need to goback over the very basics, knowledge is built up in small steps, not big jumps. Once you are confident that you have firmly grasped the foundations, this book will help you to make the progression beyond the mechanical exercises and into the development of a maths tool-kit for the analysis of economicand business problems. This is a skill which will prove valuable for your degree and for your future employers. The online resource centre contains the following resources:For Students:Ask the author forumExcel tutorialMaple tutorialFurther exercisesAnswers to further questionsExpanded solutions to progress exercisesFor Lecturers (password protected):Test exercisesGraphs from the bookAnswers to test exercisesPowerPoint presentationsInstructor manual

Table of Contents

Part I: Foundations
1. Arithmetic
2. Algebra
3. Linear Equations
4. Quadratic Equations
5. Some further equations and techniques
Part II: Optimisation with one independent variable
6. Derivatives and differentiation
7. Derivatives in action
8. Economic applications of functions and derivatives
9. Elasticity
Part III: Mathematics of finance and growth
10. Compound growth and present discounted value
11. The exponential function and logarithms
12. Continuous growth and the natural exponential function
13. Derivatives of exponential and logarithmic functions and their applications
Part IV: Optimisation with two or more independent variables
14. Functions of two or more independent variables
15. Maximum and minimum values, the total differential and applications
16. Constrained maximum and minimum values
17. Returns to scale and homogeneous functions; partial elasticities; logarithmic scales; growth accounting
Part V: Some further topics
18. Integration
19. Matrix Algebra
20. Difference and differential equations