## Trinity College Dublin, The University of Dublin

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# Mathematical Economics A

## Module Code: ECU33081 (old code EC3180)

### Module Title: Mathematical Economics A

• ECTS Weighting: 5
• Semester/Term Taught: Semester 1
• Contact Hours: 22 hours of lectures and 5 hours of tutorials
• Module Personnel: Lecturer - Professor Paul Scanlon

### Learning Outcomes

On successful completion of this module, you will be able to:

• Formulate economic problems mathematically
• Apply mathematical techniques to economic problems in both dynamic and static settings
• Interpret mathematical formulations of economic problems
• Derive and draw economic insights from solutions to mathematically formulated economic models

Satisfactory completion of this module will contribute to the development of the following key skills:

• Ability to understand mathematical representations of economic models
• Ability to represent economic dynamics in mathematical form
• Ability to quantify insights from economic models
• Ability to synthesize different mathematical techniques when solving economic problems

### Module Learning Aims

The module covers topics in optimization in both dynamic and static settings. In particular, one goal of this half of the module is to show how mathematical techniques may be applied to economic modelling. Particular emphasis is placed on the application of advanced mathematical methods to standard neoclassical production and consumption theory.

### Module Content

Topics discussed during Michaelmas Term include:

• Kuhn-Tucker Optimization in Static and Dynamic Settings
• Differential Equations
• Difference Equations
• Applications of Integration
• Approximation Theory
• Dynamic Optimization Theory

Chiang, A.C. and Wainwright, K., Fundamentals of Mathematical Economics (4 th ed.), McGraw-Hill, 2005.
Other Texts TBA

### Module Pre Requisite

EC2140 & EC2141 Mathematical and Statistical Methods

### Module Co-Requisite

ECU33082 Mathematical Economics B

### Assessment Details

There will be a term test in Michaelmas Term accounting for 30% of the overall grade, and the final exam will comprise the remaining 70% of the overall grade.

Blackboard