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- UCAS institution code
Year of entry: 2024
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Course unit details:
Introduction to Mathematical Economics
|Unit level||Level 1|
|Teaching period(s)||Semester 2|
|Available as a free choice unit?||Yes|
This course introduces the mathematical tools essential to study advanced topics in economic theory and mathematical economics. First part of the semester is dedicated to studying real analysis concepts relevant to economists. Emphasis is placed on how mathematical results are proved, how to use these results, and studying situations where the results cannot be applied. Rest of the semester is dedicated to applying these tools to study the theorems underlying unconstrained and constrained optimisation. Students will be provided with detailed material through lectures, tutorials, course notes, textbook references, and other resources. Regular feedback is provided through discussion boards and feedbacks from problem sets.
|Unit title||Unit code||Requirement type||Description|
The aim of this course is to help students develop the mathematical techniques to analyse advanced topics in economic theory. Topics covered in this course provide a foundation for many results in microeconomics and mathematical economics.
By the end of the course, you will:
- Understand the concepts of proof and counter examples.
- Develop the toolbox of real analysis for economics.
- In-depth knowledge of constrained optimisation theory and comparative statics
- Logic and proof
- Metric spaces, Open & closed sets, Sequence & convergence
- Continuity, Compactness, Differentiability
- Concavity, Taylor’s theorem, Unconstrained Optimisation
- Constrained Optimisation and Envelope theorem.
Teaching and learning methods
Synchronous activities (such as Lectures or Review and Q&A sessions, and tutorials), and guided self-study
- Analytical skills
- Problem solving
- Logical reasoning
15% Weekly online quizzes
15% Problem set
- Solution and Feedback to Problem Sets and Quizzes
- Tutorial feedback and solutions
- Piazza Discussion Board
- Office Hours
- Weekly Open Study Sessions
- Simon, C. and Blume, L. (2010) Mathematics for Economists, International Student Edition, Norton, NY.
- Derek G. Ball (2014) An Introduction to Real Analysis, Pergamon.
|David Delacretaz||Unit coordinator|
For every 10 course unit credits we expect students to work for around 100 hours. This time generally includes any contact times (online or face to face, recorded and live), but also independent study, work for coursework, and group work. This amount is only a guidance and individual study time will vary