This series of fifteen case studies, downloadable as .doc files, illustrates the use of mathematical concepts in economic and business contexts. They are intended to help students see the importance of maths in economic reasoning. Each case study is four sides long and makes use of graphs and algebra. Most include questions at the end. Permission is given for educators to redistribute and alter these materials as much as they like. These materials were produced by an Economics Network project with funding from the JISC.
Online Text and Notes in Maths for Economists
These case studies in data search, management and economic interpretation are aimed at first-time students of economics. They are downloadable in Word format with embedded links, to adapt, print and/or put in a virtual learning environment. They were produced by Dean Garratt and Stephen Heasell, Nottingham Trent University as part of an Economics Network project. They cover topics such as economic growth, house prices, household debt, consumption spending and government spending.
From an online course on mathematics and statistics, this module introduces ratios, proportions and percentages in turn, using text and activities. The intended duration of the module is five hours. The content is available for download into a VLE under a Creative Commons Attribution Non-commercial Share Alike licence.
Part of an online course on mathematics and statistics, this module presents text and activities on the topics of price indices, inflation, averages, ratios, percentages and proportion. The intended duration of the module is 20 hours. The content is available for download into a VLE.
MathCentre is a very large repository of tutorial videos, interactive assessments and PDF handouts to help with maths topics, roughly at A-level. This link is to a range of topics selected as relevant to Economics. The materials are categorised by area (such as Algebra, Arithmetic and Differentiation) and by individual topic.
This is the hypertext version of a set of lecture notes for a second-year undergraduate course - Mathematical methods for economic theory. It covers the basic mathematical tools used in economic theory. Knowledge of elementary calculus is assumed. The main topics are multivariate calculus, concavity and convexity, optimization theory, differential equations, and difference equations
This course webpage supports an introductory module on quantitative economics as taught by Fowad Murtaza and Domenico Tabasso at the University of Essex in 2009/10. It introduces students to the methods of quantitative economics, i.e. to how data are used in economics. Beginning from an elementary level (assuming no background in statistics), the course shows how economic data can be described and analysed. The elements of probability and random variables are introduced in the context of economic applications. The probability theory enables an introduction to elementary statistical inference: parameter estimation, confidence intervals and hypothesis tests. With these foundations, students are then introduced to the linear regression model that forms a starting point for econometrics. It includes a course outline / handbook, lecture presentations, lecture notes, coursework assignments, problem sets with solutions and statistical data.
This course webpage supports a module on methods of economic analysis as taught by Melvyn Coles at the University of Essex in 2009/10. It teaches the necessary mathematical techniques required for a modern degree in Economics. It starts at a fairly basic level and so is ideal for students with a weak background in mathematics. Whenever possible the module considers economics examples so that students not only learn important mathematical skills but also learn how to apply those skills to problems of economic interest. It includes a course outline, lecture notes, problem sets with solutions and assignments.
Lecture notes presented here in PDF, deal with topics including differentiation and integration, utility functions and dynamic models, as part of a webpage supporting a Basic Mathematics for Economists course at the LSE in 2003/4. It also includes a course syllabus, class exercises and solutions. The link goes to Archive.org's copy of the site, which is no longer on the LSE server.
Mathematics for economists is a course webpage produced by Dieter Balkenborg of the University of Exeter, the 2008 version of the course was taught by Juliette Stephenson. The material includes lecture slides, class exercises and solutions, homework tasks, and exam papers, usually made available as PDF files. Also includes links to previous versions of the course stretching back to 2001.