# BA Modern Language and Business & Management (French) / Course details

Year of entry: 2023

## Course unit details:Introduction to Mathematical Economics

Unit code ECON10192 10 Level 1 Semester 2 Yes

### Overview

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.

### Pre/co-requisites

Unit title Unit code Requirement type Description
Introduction to Mathematical Economics Co-requisite: ECON10071

### Aims

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.

### Learning outcomes

By the end of the course, you will:

1. Understand the concepts of proof and counter examples.
2. Develop the toolbox of real analysis for economics.
3. In-depth knowledge of constrained optimisation theory and comparative statics

### Syllabus

• 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

### Employability skills

Analytical skills
Problem solving
Other
Logical reasoning

### Assessment methods

70% Exam

15% Weekly online quizzes

15% Problem set

### Feedback methods

• Solution and Feedback to Problem Sets and Quizzes
•  Tutorial feedback and solutions
•  Piazza Discussion Board
•  Office Hours
•  Weekly Open Study Sessions

1. Simon, C. and Blume, L. (2010) Mathematics for Economists, International Student Edition, Norton, NY.
2. Derek G. Ball (2014) An Introduction to Real Analysis, Pergamon.

### Teaching staff

Staff member Role
David Delacretaz Unit coordinator