Last updated March 2023
Contents
 Algebra
 Differentiation
 Differentiation: maxima and minima
 Fractions and Percentages
 Functions and Graphs
 Geometric progressions: interest and growth
 Integration
 Linear Equations
 Linear Programming
 Logarithms and Indices
 Matrices
 Probability and Expectation
 Sigma notation
 Simultaneous (linear) equations
 Other links to resources
Algebra
 Handouts from Mathtutor
 Refresher booklet, videos and selftests from Mathtutor
 Formative assessments can be selected from the maths e.g. Numbers and Algebra topics especially:
Differentiation
 Teaching and Learning guide from METAL
 Powerpoint slides from METAL
 Handouts from Mathtutor
 Selftest materials from Mathcentre
 Formative assessments can be selected from the maths e.g. Differentiation and Economics topics especially:
Differentiation: maxima and minima
 Video, exercises and 10 page booklet from Mathtutor
 Leaflets and handout from Mathcentre
 Formative assessments can be selected from the maths e.g. Differentiation and Economics topics especially:
 Join our Question Bank for problem sets on this topic

Fractions and Percentages
 Films and animations from METAL
 Explanatory text and examples from Math You Need Econ
 Video clips, text and selftests from Mathcentre
 Marginal Analysis: text and examples from Math You Need Econ
 Handouts on fractions, ratios, percentages and roots from Mathtutor
 Formative assessments can be selected from maths e.g. especially:
 Case study: "Measuring inequality: Using the Lorenz Curve and Gini Coefficient"
 Case study: "Economic Growth: What Factors Matter?"
 Join our Question Bank for problem sets on this topic
Functions and Graphs
 Functions and Inverses: video and quizzes from Refresher Mathematics for Economics
 Review of Graphs: Visual Display of Information from Syracuse University
 Understanding Graphs: text and selftest problems from Math You Need Econ
 Graphing Data: text and selftest problems from Math You Need Econ
 Handouts from Mathtutor
 Video clips, text and selftests from Mathcentre
 Teaching and Learning Guide on Nonlinear equations from METAL
 Formative assessments can be selected from the maths e.g. Algebra and Elementary Functions topics especially:
Geometric progressions: interest and growth
 Sequences and Series: video and quizzes from Refresher Mathematics for Economics
 Teaching and Learning guide: Finance and Growth from METAL
 Films and animations from METAL
 Videos and other materials on series from Mathtutor
 Video clips, text and selftests from Mathcentre
 Formative assessments can be selected from the maths e.g. Algebra and Economics topics especially:
 Case study: "Affording the mortgage" (geometric progression)
 Case study: "Does income constrain household spending?"
 Case study: "UK house prices: Going through the roof?"
 Case study: "Spending on plastic: the potential for financial distress"
 Case study: "Saving for the Future: Don't leave it too late!"
 Case study: "Economic Growth: What Factors Matter?"
Integration
 Video and quizzes from Refresher Mathematics for Economics
 Teaching and Learning guide from METAL
 Introduction to Integration from MathsIsFun.com
 Handouts from Mathtutor
 Text and selftests from Mathcentre
 Formative assessments can be selected from the maths e.g. Integration topic especially:
 Case study: "Estimating a demand curve for unpriced environmental goods" (example of using a definite integral)
 Case study: "Affording the mortgage" (definite integral)
 Case study: "Saving for the Future: Don't leave it too late!"
Linear Equations
 Teaching and Learning guide from METAL
 Slope: Explanatory text and examples from Math You Need Econ
 Linear Equations from MathsIsFun.com
 Films and animations from METAL
 Video, text and selftests from Mathcentre
 Formative assessments can be selected from the maths e.g. Coordinate geometry topic especially:
 Case study: "Household spending: When income matters in the end"
Linear Programming
 Teaching and Learning Guide on Linear Programming from METAL
 Teaching and Learning Guide on Partial Differentiation from METAL
 Formative assessments can be selected from the maths e.g. Linear Programming topic especially:
Logarithms and Indices
 Videos and quizzes from Refresher Mathematics for Economics
 Twopage handout on indicial equations from Mathcentre
 Introduction to logarithms from MathsIsFun.com
 Video, handouts and selftests in exponential & logarithmic functions from Mathcentre
 Formative assessments can be selected from the maths e.g. Algebra and Elementary Functions topics especially:
 Case study: "Do households smooth their consumption?"
 Case study: "Deriving constant price estimates of GDP: An illustration of chainlinking"
 Case study: "UK house prices: Going through the roof?"
 Case study: "Economic Growth: What Factors Matter?"
Matrices
 Videos and quizzes from Refresher Mathematics for Economics
 Teaching and Learning Guide from METAL
 Handouts and video from Mathcentre
 Formative assessments can be selected from the maths e.g. Matrices and Economics topics especially:
 Introduction to Matrices from MathsIsFun.com
 Essence of Linear Algebra (YouTube playlist) 3Blue1Brown
Probability and Expectation
 Probability from MathsIsFun.com
 Formative assessments can be selected from the maths e.g. Probability topic especially:
 Case study: "Counting the cost of effective health policy" (probability in sensitivity analysis)
 Case study: "Probability in action: Gambling, the US Presidency and the market for car insurance" (betting odds and conditional probabilities)
Sigma notation
 Introduction to Sigma Notation from MathsIsFun.com
 Sums, series and Sigma summation notation: video and quizzes from Refresher Mathematics for Economics
 Video, handout and selftests from Mathcentre
 Formative assessments can be selected from the maths e.g. Algebra and Economics topics especially:
 Case study: "Measuring the competitiveness of sport: are the top teams getting too strong?" (Concentration ratio)
 Case study: "Is the Scottish Premier League less competitive than its English Counterpart?" (HirschmanHerfindahl Index)
 Case study: "Measuring health improvements for a cost effectiveness analysis"
Simultaneous (linear) equations
 Systems of linear equations: video and quizzes from Refresher Mathematics for Economics
 Teaching and Learning guide from METAL
 Films and animations from METAL
 Explanatory text and practice problems from Math You Need Econ
 Video and animations from Mathtutor
 Video, text and selftests from Mathcentre
 Formative assessments can be selected from the maths e.g. Algebra and Economics topics especially:
Our printable Maths Formula Sheet has helpful reminders for most of the above topics
Interactive Economics Facts and Formulae is a 12page document by Martin Greenhow (Brunel University) with quick summaries for many applications of maths in economics, and copious links to questions in the Maths E.G. database.
Other links to resources
Teaching and learning materials
Latest Addition
George Orlov and Doug McKee, Cornell UniversityA freely usable library of standardised assessments for economics students, with an option to deliver the assessments online and have a summary report emailed to the lecturer. These are designed as "an objective, repeatable measure of what your students know about a particular subject" and so support testing of prerequisites for a course and enable pedagogical research.
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