Module Details

The information contained in this module specification was correct at the time of publication but may be subject to change, either during the session because of unforeseen circumstances, or following review of the module at the end of the session. Queries about the module should be directed to the member of staff with responsibility for the module.
Title MATH490 - Project for M.Math.
Code MATH490
Coordinator Dr R Tatar
Mathematical Sciences
Radu.Tatar@liverpool.ac.uk
Year CATS Level Semester CATS Value
Session 2020-21 Level 7 FHEQ Whole Session 30

Aims

To demonstrate a critical understanding and historical appreciation of some branch of mathematics by means of directed reading and preparation of a report.

The MATH490 project should treat its subject at a more advanced level and in greater depth than the MATH399 or MATH499 projects. Working on this year-long project can provide a good base to continue mathematical studies through PhD.


Learning Outcomes

(LO1) To gain a greater understanding of the chosen mathematical topic and an appreciation of the historical context.

(LO2) To learn how to understand abstract mathematical concepts and explain them

(LO3) To have gained experience in consulting related relevant literature.

(LO4) To learn how to construct a written project report.

(LO5) To have gained experience in making an oral presentation.

(LO6) To have gained familiarity with a scientific word-processing package such as LaTeX or TeX.


Syllabus

 

The student selects a supervisor and topic after consultation.

During weekly consultations, the supervisor directs the progress of the project. Initially, the sessions will normally focus on directed reading and discussion of basic concepts.

As the project progresses, the student is encouraged to initiate further literature searches and exercise individual choice in the selection of material.

Towards the end of the project, the student is given explicit guidance on report writing and oral presentation.

The final report should be typed using LaTeX or TeX, the standard scientific word-processing packages.

Written notes on possible topics and on detailed submission requirements are given to students in advance.

Each student will give an oral presentation/talk. The talk will normally take place in week 11 or 12 of the second semester. The length of the talk should be agreed in advance between the project student and their supervisor and should be at l east 20 minutes. In the talk the student will describe the work undertaken for the project. In addition to giving a talk, students attend talks by the other project students in order to learn about their work, and to provide them with feedback about their research and their presentation.


Recommended Texts

Reading lists are managed at readinglists.liverpool.ac.uk. Click here to access the reading lists for this module.

Pre-requisites before taking this module (other modules and/or general educational/academic requirements):

 

Co-requisite modules:

 

Modules for which this module is a pre-requisite:

 

Programme(s) (including Year of Study) to which this module is available on a required basis:

 

Programme(s) (including Year of Study) to which this module is available on an optional basis:

 

Assessment

EXAM Duration Timing
(Semester)
% of
final
mark
Resit/resubmission
opportunity
Penalty for late
submission
Notes
             
CONTINUOUS Duration Timing
(Semester)
% of
final
mark
Resit/resubmission
opportunity
Penalty for late
submission
Notes
Recorded presentation. Students will record the presentation independently and submit via the VLE      10       
Written project report.      90