Mathematics for Economics: enhancing Teaching and Learning by METAL

Teaching and learning guides

The ten METAL teaching and learning guides are written primarily for lecturers and tutors, and present innovative and interactive approaches to teaching mathematical concepts to economics students. The guides include:

  • Presentation of mathematics concepts.
  • Top tips.
  • Teaching and learning suggestions.
  • Seminar activities, also available as separate files in .pdf or Microsoft Word format.
1. Mathematical Review .pdf (984 KB)
This guide is designed to set out some of the basic mathematical concepts needed to effectively teach economics at undergraduate level. The basic concepts covered by this guide are; arithmetic operations; fractions; percentages; powers; indices and logarithms, and the basic rules of algebra.
Download Guide 1 Activity Sheets separately .pdf (216 KB) or Word (479 KB).

Guide 1 Operator Templates also available .pdf (21.9 KB) or Word (67 KB).

2. Linear Equations .pdf (890 KB)
This Guide focuses on ways to help students grasp the meaning, significance and practical application of the equation of a straight line. Students will have opportunities to achieve a number of learning outcomes.
Download Guide 2 Activity Sheets separately .pdf (95 KB) or Word (148 KB).
3. Linear Equations – further topics .pdf (791 KB)
This Guide extends the analysis of linear equations to settings in which there is more than one equation, and where a solution to the system of equations is required.
Download Guide 3 Activity Sheets separately .pdf (114 KB) or Word (400 KB).
4. Linear Programming .pdf (995 KB)
This guide intends to serve as a useful resource for colleagues delivering linear programming to undergraduate students. Students are assumed to have a basic grasp of mathematics but there is no presumption that they have knowledge or any practical understanding of linear programming.
Download Guide 4 Activity Sheets separately .pdf (206 KB) or Word (1,710 KB).
5. Finance and Growth .pdf (861 KB)
This Guide is designed to set out some of the basic mathematical concepts needed to teach financial economics at undergraduate level. The concepts covered by this guide are; arithmetic and geometric series; Simple and compound interest; the time value of money; investment appraisal; and the NPV rule and the IRR rate of return rule.
Download Guide 5 Activity Sheets separately .pdf (212 KB) or Word (281 KB).
6. Non-linear Equations .pdf (693 KB)
This guide attempts to promote the use of non-linear equations and functions with clear statements of why they matter within the study of economics. Key to this is the use of data and application to economic problems and use of economic principles to guide the mathematics.
Download Guide 6 Activity Sheet separately .pdf (75 KB) or Word (108 KB).
7. Differentiation .pdf (835 KB) Annex Microsoft PowerPoint (339 KB)
Differentiation lies at the heart of an introductory module or course in mathematical economics, but can present a number of significant challenges to students. These need to be dealt with before students become confident dealing with the rest of their degree course material. This guide includes an annex in PowerPoint format, which can be downloaded and adapted for use in class.
Download Guide 7 Activity Sheets separately .pdf (47 KB) or Word (83 KB).
8. Partial Differentiation .pdf (663 KB)
This guide is designed to help lecturers set out the basic mathematical concepts and techniques needed for their students to effectively learn how to do economic analysis where a dependent variable is driven by two or more independent variables. The basic concepts covered are; partial derivatives, unconstrained optimisation, Lagrange multipliers and constrained optimisation.
Download Guide 8 Activity Sheets separately .pdf (94 KB) or Word (95 KB).
9. Integration .pdf (677 KB)
This guide does not intend to provide learning materials per se. Rather, it intends to help colleagues secure very good student learning by offering a resource which helps to deliver high quality teaching. Implicitly, the guide attempts to ‘bring alive’ the topic of integration and to engender in students an appreciation of what integration is, how it is applied, and how it can be used.
Download Guide 9 Activity Sheets separately .pdf (90 KB) or Word (203 KB).
10. Matrices .pdf (1.08 MB)
This guide is designed to set out some of the basic mathematical concepts needed to teach economics and financial economics at undergraduate level. The concepts covered by this guide are; the dimensions of a matrix and surrounding vocabulary; addition, subtraction, multiplication and division of matrices; matrix transposition; matrix inversion; finding the determinant of a matrix; Cramer’s rule; Input-Output analysis.
Download Guide 10 Activity Sheets separately .pdf (178 KB) or Word (244 KB).
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