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 PROJECTS IN MATHEMATICS
Code MATH399
Coordinator Dr R Tatar
Mathematical Sciences
Radu.Tatar@liverpool.ac.uk
Year CATS Level Semester CATS Value
Session 2016-17 Level 6 FHEQ Whole Session 15

Aims

a) To study in depth an area of pure mathematics and report on it; or

b) To construct and study mathematical models of a chosen problem; or

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

d) To study in depth a particular problem in statistics, probability or operational research.


Learning Outcomes

a) (Pure Maths option) - After completing the report with suitable guidance the student should have

· gained a greater understanding of the chosen mathematical topic

· gained experience in applying his/her mathematical skills

· had experience in consulting relevant literature

· learned how to construct a written project report

· had experience in making an oral presentation

b) (Applied Mathematics) - After completing the project with suitable guidance the students should have:

- learned strategies for simple model building

- gained experience in choosing and using appropriate mathematics

- understood the nature of approximations used

- made critical appraisal of results

- had experience in consulting related relevant literature

- learned how to construct a written project report

- had experience in making an oral presentation.

c) (Applied Maths/Theoretical Physics) - After researching and preparing the mathematical essay the student should have:

· gained a greater understanding of the chosen mathematical topic

· gained an appreciation of the historical context

· learned ho w to abstract mathematical concepts and explain them

· had experience in consulting related relevant literature

· learned how to construct a written project report

· had experience in making an oral presentation.

d) (Statistics, Probability and Operational Research) -

After completing the project the student should have:

· gained an in-depth understanding of the chosen topic

· had experience in consulting relevant literature

· learned how to construct a written project report;

· had experience in making an oral presentation.

e) Mathematics in Society Projects. Only available to G1X3 students

Students interested in doing such a project should see Dr A Pratoussevitch and Dr T Eckl initially.


Syllabus

1

a) (Pure Maths) Student must select themselves a supervisor and a project from a list of suggested topics. It is highly advisable to do this at the same time as registering the module online that is, before the end of the previous academic year.

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

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

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

Written notes on possible project topics and on detailed submiss ion requirements are given to students in advance.

b) (Applied Maths) Student must select themselves a supervisor and a project from a list of suggested topics. It is highly advisable to do this at the same time as registering the module online that is, before the end of the previous academic year.

During weekly consultations, the supervisor directs the progress of the modelling project. Initially, the sessions will normally focus on directed reading and exploratory calculations.

As the project progresses, the student is given a strategy for further model refinement and development, using real data and observations wherever possible.

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

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

c) (Applied Maths, Theoretical Physics) Student must select themselves a supervisor and a project from a list of suggested topics. It is highly advisable to do this at the same time as registering the module online that is, before the end of the previous academic year.

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

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

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

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

d) (Statistics and Probability) Student must select themselves a supervisor and a project from a list of suggested topics. It is highly advisable to do this at the same time as registering the module online that is, before the end of the previous academic year.

During weekly consultations, the supervisor directs the progress of the project.

Depending upon the topic, the project may involve obtaining and analysing real data, understanding an area of statistical theory, and use of appropriate computer packages.

The student is encouraged to exercise individual choice in selection of mater ial.

Written notes on possible topics and on the basis on which the project report will be assessed are given to students in advance.


Recommended Texts

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

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:G1X3 Year:3

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

Programme:G100 Year:3 Programme:G110 Year:3 Programme:G1F7 Year:3 Programme:G1R9 Year:4 Programme:G1X3 Year:3 Programme:GG13 Year:3 Programme:GN11 Year:3 Programme:GG14 Year:3 Programme:GL11 Year:3 Programme:GR11 Year:4 Programme:GV15 Year:3 Programme:BCG0 Year:3 Programme:L000 Year:3 Programme:Y001 Year:3

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
Coursework    First or second semester  90  Standard University Policy    Assessment 1 
Coursework    First or second semester  10  Standard University Policy    Assessment 2 Notes (applying to all assessments) Written project report or submitted essay Oral presentation