Research Methods I

Module description

The module covers basic set theory and logic, and selected topics in advanced linear algebra and advanced real analysis.

Full module specification

Module title:Research Methods I
Module code:BEEM136
Module level:M
Academic year:2020/1
Module lecturers:
  • Dr Pascal Stiefenhofer - Convenor
Module credit:15
ECTS value:



Only available to MRes Economics PhD pathway

Duration of module: Duration (weeks) - term 1:


Module aims

The module aims to make the students familiar with the rigorous standards of mathematical writing and doing proofs and arguments as required at the research level and to publish in leading peer-reviewed journals. The emphasis is hence on depth rather than on covering a wide range of topics.

ILO: Module-specific skills

  • 1. Derive rigorous mathematical proofs.
  • 2. Work with abstract mathematical concepts.
  • 3. Compute the mathematical aspects of economic modelling techniques.

ILO: Discipline-specific skills

  • 4. Read and work with current economic research papers.
  • 5. Critically analyse the logic of economic arguments.
  • 6. Use and analyse economic models.

ILO: Personal and key skills

  • 7. Apply critical thinking.
  • 8. Apply higher level quantitative skills.
  • 9. Apply essential research skills.

Learning activities and teaching methods (given in hours of study time)

Scheduled Learning and Teaching ActivitiesGuided independent studyPlacement / study abroad

Details of learning activities and teaching methods

CategoryHours of study timeDescription
Scheduled Learning and Teaching22Lectures
Scheduled Learning and Teaching10Tutorials
Independent study118Independent study

Formative assessment

Form of assessmentSize of the assessment (eg length / duration)ILOs assessedFeedback method
Practice ProblemsVaries1-9Oral/Written

Summative assessment (% of credit)

CourseworkWritten examsPractical exams

Details of summative assessment

Form of assessment% of creditSize of the assessment (eg length / duration)ILOs assessedFeedback method
Exam702 hours1-9Oral/Written
Problem sets3050 minutes1-9Oral/Written

Details of re-assessment (where required by referral or deferral)

Original form of assessmentForm of re-assessmentILOs re-assessedTimescale for re-assessment
Exam and problem setsExamination 100% (2 hours)1-9August examination period

Syllabus plan

  • Logic, Set Theory and proofs
  • Vector spaces, basis, and dimension
  • Abstract vector spaces and linear maps
  • Eigenvectors and eigenvalues
  • Dynamical systems
  • Topology on the Euclidean space, completeness
  • Properties of continuous functions
  • Taylor polynomials

Indicative learning resources - Basic reading

- Simon, CP and L. Blume: Mathematics for Economists, Part VI and VII, 1994, W.W. Norton & Company, New York, London
-Rudin, W: Principles of Mathematical Analysis, 1978, McGraw Hill

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