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MA999 - Topics in mathematical modeling (15 or 18 Cats)

Module leader: Robert MacKay (Mathematics and Complexity Science)

Module Aims

This is an optional module for the MSc in Mathematics of Systems and the MSc in Interdisciplinary Mathematics and could be suitable as an unusual option for MASDOC and MASt. The main aim is to train students in cutting-edge techniques in mathematical modelling on topics that vary from year to year. 4 staff members related to the MathSys CDT will introduce a current topic of research in their field (2 weeks each). Each student chooses two areas for deeper study, on which they are assessed. Topics are informed by projects with the external partners of the CDT and current PhD students, so the module will feed forward project and research topics between cohorts of the CDT. The students will learn how to use the knowledge and techniques they have acquired in core modules of the MathSys MSc programme or equivalent to tackle particular mathematical modelling challenges which are related to real-world problems of partners of the CDT. The module is excellent preparation for PhD in Mathematics of Systems or Interdisciplinary Mathematics, and for participating in Mathematical Study Groups with Industry (ESGI).

Syllabus

The module consists of 4 sets of lecture series by staff (2 weeks each) related to the CDT on Mathematics for Real-World Systems. They present recent research topics on mathematical modelling in their field and guide the students on how to relate and apply the skills and methods they learned in core modules of the MathSys MSc or equivalent. In the first 8 weeks students get an overview of all four research areas, and pick two for intensified self-study. They will prepare a critical literature review on one of the areas (5-10 pages) guided and assessed by the staff member and in the last two weeks give an oral presentation (about 25 minutes) about a specific paper/topic in the other area to staff and students. For the 18 CATS version of the module, they will also prepare a critical literature review on the area they give the oral presentation in.

The research areas and staff involved rotate each year and are chosen before the beginning of term 1 to advertise the module to all students with complete information. See Module Resources for up to date information.

Illustrative Bibliography

Recent research papers in the field of the 4 lecturers will be made available before the module starts.

Teaching

See main calendar for timetable

  • Per week: 2 hours of lectures, 1 hour of classes
  • Duration: 10 weeks (term 2)

Assessment

For deadlines see Module Resources page. Assessment criteria

15 CATS version of the module: Choose two areas for intensified study and prepare

  • written report on literature review (50%) in one area and
  • oral presentation (50%) in the other area based on a specific paper/topic.

18 CATS version of the module: Choose two areas for intensified study and prepare

  • written report on literature review (40%) in one area and
  • oral presentation (30%) in the other area based on a specific paper/topic and
  • written report on literature review in second area (30%)