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Renshaw: Maths for Economics 2e

Solutions to progress exercises

Solutions to the progress exercises for each chapter of the book can be found here. You can view and download the documents individually or you can download all documentation as a ZIP file using the link below:

All progress exercise solutions [1.8MB]

Chapter 01
Arithmetic [PDF 41kb]
Chapter 02
Algebra [PDF 41kb]
Chapter 03
Linear Equations [PDF 344kb]
Chapter 04
Quadratic Equations [PDF 84kb]
Chapter 05
Some further equations and techniques [PDF 99kb]
Chapter 06
Derivatives and differentiation [PDF 90kb]
Chapter 07
Derivatives in action [PDF 152kb]
Chapter 08
Economic applications of functions and derivatives [PDF 325kb]
Chapter 09
Elasticity [PDF 184kb]
Chapter 10
Compound growth and present discounted value [PDF 71kb]
Chapter 11
The exponential function and logarithms [PDF 48kb]
Chapter 12
Continuous growth and the natural exponential function [PDF 86kb]
Chapter 13
Derivatives of exponential and logarithmic functions and their applications [PDF 83kb]
Chapter 14
Functions of two or more independent variables [PDF 190kb]
Chapter 15
Maximum and minimum values, the total differential, and applications [PDF 108kb]
Chapter 16
Constrained maximum and minimum values [PDF 110kb]
Chapter 17
Returns to scale and homogeneous functions; partial elasticities; growth accounting; logarithmic scales [PDF 114kb]
Chapter 18
Integration [PDF 39kb]
Chapter 19
Matrix algebra [PDF 62kb]
Chapter 20
Difference and differential equations [PDF 54kb]
Chapter W21
Extensions and future directions [PDF 63kb]