University of Mines and Technology(UMaT), Tarkwa. Ghana

21    DOCTOR OF PHILOSOPHY PROGRAMMES

21.1    Title of Programme

The Department offers the following Doctor of Philosophy programmes:

•    PhD in Mathematics

•    PhD in Statistics

21.2 Entry Requirements

•    A candidate shall hold a masters degree in Mathematics or Statistics or its equivalent from a recognized institution and shall submit evidence of adequate training and ability to undertake the proposed programme.

•    A candidate who does not hold a Master’s degree shall first register for a Master’s degree by research. If he/she proves himself/herself to be of sufficient calibre by the end of the first year of the programme, he/she may be recommended to register for the PhD degree; this registration shall be deemed retrospective from the date of the original registration for the Master’s degree.

•    A candidate, who does not satisfy the requirements stated above but is otherwise adjudged suitable, may be admitted.

For the purpose of assessing his/her suitability, such a candidate may be interviewed or required to take an entrance examination, or both as directed by the School of Postgraduate Studies on the recommendation of the Departmental Board.

21.3    Programme Duration

Subsequent to duration, the candidate shall pursue a full-time programme of study and research for at least two years, except that:

•    A candidate fully engaged in advanced study and research for his/her degree, who, before registration, was engaged in research to the satisfaction of the Department concerned, may be exempted for not more than one academic year.

•    In special circumstances, the Department may recommend that a candidate be allowed to spend not more than one academic year of his/her programme in advanced study research at another institution, provided that his/her work can be supervised in a manner satisfactory to the Department and the School of Postgraduate Studies.

•    A Full-Time candidate who is engaged in research for the degree shall present himself/herself for examination not later than three years from the date of his/her registration.
•    A Part-Time candidate shall present himself/herself for examination not later than four years from the date of registration.
•    In special cases, an extension of these time limits may be granted on the recommendation of the Department.

21.4 Areas of Research

A candidate may be required to audit appropriate courses/modules and also submit a thesis under the Supervision of an academic staff in any of the following areas of research:
•    Financial Engineering.

•    Computational Mathematics.

•    Statistics.

Other related topics will be accepted but must be approved by the Department.

21.5    Employment Opportunities

There are employment opportunities in the following areas:
•    Banking;

•    Mining and allied industries;

•    Education;

•    Bureau of Statistics;

•    Research Institutes;

•    Non-Governmental Organizations.

21.6    Available Resources

a)    Academic Staff
See the list of Academic Staff.

b)    Facilities and Other Resources

There are up-to-date facilities in the University, the mining industry and allied industries and other research institutions in the country to allow for a comprehensive and detailed work in the programmes. The list of textbooks is given in Appendix I.

21.7    Cost of Module

Module fees shall be GH?250.00 (or its dollar equivalent) per module. Module fees are subject to change without notice.

21.8 List of Academic Staff and Areas of Specialisation

21.9 RESOURCES REQUIRED

i.      A well-equipped lecture room;
ii.     At least twenty (20) desktop computers;
iii.    Software on Numerical Methods, Statistics and Optimisation;
iv.    Textbooks on Numerical Methods, Statistics, Optimisation, C++, C# and Java, Matlab and Fortran 90/95/2000.
v.     Compilers for Fortran;
vi.    Laptops (2)
vii.   LCDs (2)
viii.  Overhead Projectors (3)
ix.    Smartboard
x.    Scanners (3)

APPENDIX I

LIST OF REFERENCE TEXTBOOKS

Barenblatt, G. I. (2005) Scaling, self similarity, and intermediate asymptotics. Cambridge University Press.

Carl M. Bender and Steven A. Orszag (1999) Advanced  Mathematical Methods for Scientists and Engineers. Springer Science +Business Media, Inc.

Chapman Stephen J (2004) Fortran 90/95 for Scientists and Engineers .Second Edition Mc Graw Hill Higher Education.

Forman S. Acton (1970) Numerical Methods That Work. Second Edition. Harper and Row Publishers.

Harvey Gould, Tobochnik and Wolfgang  Christian (2007)  An Introduction to Computer Simulation Methods . Application to physical Systems. Third Edition, Pearson Addison Wesley.

Maron  M. J. (1995), Numerical analysis; A Practical approach . Second Edition Macmillan Publishing Company.

Metcalf Michael and Reid John (2006) Fortran 90/95 explained . Second Edition Oxford University Press.

Sam Howison (2005) Practical Applied Mathematics, Modelling, Analysis and Approximation, First Edition, Cambridge University Press

Ward Cheney, David Kincaid (1995), Numerical Methods and Computing. Fifth Edition. McGraw Hill.

Watkins S David (1995) Fundamentals of Matrix Computations Second Edition McGraw Hill.

William E. Boyce, Richard C DiPrimal (1992), Elementary Differential Equations and Boundary Value Problems. Fifth Edition.  John Wiley and Sons Inc.