Module code: ECOM063

Module Overview

The module provides the fundamental mathematical tools used by economists.
It will provide the key elements of real analysis and differential calculus. The focus will then be on static optimisation techniques for comparative static analysis and on dynamic optimisation technique for solving dynamic problems.

Module provider


Module Leader

SHAKHNOV Kirill (Economics)

Number of Credits: 15

ECTS Credits: 7.5

Framework: FHEQ Level 7

JACs code:

Module cap (Maximum number of students): N/A

Module Availability

Semester 1

Prerequisites / Co-requisites


Module content

Indicative content includes:

  • Analysis in metric space

  • Differential calculus

  • Comparative statics

  • Static optimisation

  • Dynamical systems and dynamic optimisation

Assessment pattern

Assessment type Unit of assessment Weighting
School-timetabled exam/test Class test - 1 hour 30
Examination Examination - 2 hours 70

Alternative Assessment


Assessment Strategy

The assessment strategy is designed to provide students with the opportunity to demonstrate

analytical skills and the ability to reason logically.


Thus, the summative assessment for this module consists of:

An in-semester class test typically in week 6-8 (1 hour)
A final examination (2 hours) at the end of Semester 1.


Formative assessment

Class participation and discussion of tutorial problem sets.



Students will receive verbal feedback during lectures and tutorials, as well as written feedback on their performance in the in-semester class test.

Module aims

  • The aim is to provide a self-contained, rigorous treatment of the mathematical foundations required to follow the sequence in microeconomics and macroeconomics within the MRes Economics programme, and as a foundation for further study towards a PhD in Economics.

Learning outcomes

Attributes Developed
001 Be familiar with advanced optimisation techniques routinely used in economics (C,K,T) CKT
002 Be able to formalise an economic problem (C,T,P) CPT

Attributes Developed

C - Cognitive/analytical

K - Subject knowledge

T - Transferable skills

P - Professional/Practical skills

Overall student workload

Independent Study Hours: 117

Lecture Hours: 22

Tutorial Hours: 11

Methods of Teaching / Learning

The learning and teaching strategy is designed to:

Provide the necessary tools for solving microeconomics and macroeconomics problems.


The learning and teaching methods include:

Interactive weekly small group lectures and tutorials designed to expose students to the content and to give the opportunity for students to discuss and apply the methods taught in dedicated problem sets. 

Indicated Lecture Hours (which may also include seminars, tutorials, workshops and other contact time) are approximate and may include in-class tests where one or more of these are an assessment on the module. In-class tests are scheduled/organised separately to taught content and will be published on to student personal timetables, where they apply to taken modules, as soon as they are finalised by central administration. This will usually be after the initial publication of the teaching timetable for the relevant semester.

Reading list

Reading list for RESEARCH METHODS 1 :

Other information


Programmes this module appears in

Programme Semester Classification Qualifying conditions
Economics MRes 1 Compulsory A weighted aggregate mark of 50% is required to pass the module

Please note that the information detailed within this record is accurate at the time of publishing and may be subject to change. This record contains information for the most up to date version of the programme / module for the 2020/1 academic year.