Course unit details:
Introduction to Mathematical Economics

Course unit fact file
Unit code ECON20192
Credit rating 10
Unit level Level 2
Teaching period(s) Semester 2
Offered by Economics
Available as a free choice unit? 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
Advanced Mathematics ECON10071A Pre-Requisite Compulsory
Advanced Mathematics ECON20071 Co-Requisite Compulsory
Advanced Mathematics ECON10071B Pre-Requisite Compulsory
ECON20192 Pre-requisites: ECON10071A OR ECON10071B OR ECON20071

ECON10071 OR ECON20071

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

Provisional

  • 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% Coursework (Weekly Online Quizzes)

15% Coursework (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

Recommended reading

  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.

Study hours

Scheduled activity hours
Lectures 22
Tutorials 10
Independent study hours
Independent study 68

Teaching staff

Staff member Role
David Delacretaz Unit coordinator

Additional notes

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.

Fees and funding

Fees

Tuition fees for home students commencing their studies in September 2027 will be £10,050 per annum. Tuition fees for international students will be £34,800 per annum.

For general information please see the undergraduate finance pages.

Policy on additional costs

All students should normally be able to complete their programme of study without incurring additional study costs over and above the tuition fee for that programme. Any unavoidable additional compulsory costs totalling more than 1% of the annual home undergraduate fee per annum, regardless of whether the programme in question is undergraduate or postgraduate taught, will be made clear to you at the point of application. Further information can be found in the University's Policy on additional costs incurred by students on undergraduate and postgraduate taught programmes (PDF document, 91KB).

Scholarships/sponsorships

We know that student finance can be complicated. The links below provide further information to help guide you.

Learn more about student finance options for UK students.

Learn more about fees and finance for international students.

As an international student you may be eligible for our Global Futures Scholarships. This is open to students starting their studies in September 2026.

Return to course details

Regulated by the Office for Students

The University of Manchester is regulated by the Office for Students (OfS). The OfS aims to help students succeed in Higher Education by ensuring they receive excellent information and guidance, get high quality education that prepares them for the future and by protecting their interests. More information can be found at the OfS website.

You can find regulations and policies relating to student life at The University of Manchester, including our Degree Regulations and Complaints Procedure, on our regulations website.