Doctor of Philosophy (PhD.)

 

Eligibility and Procedure for Admission

To be eligible for admission to the Ph.D. degree program, a student must possess first class (Minimum 3.00 CGPA) Master's degree in the relevant field from Mehran University of Engineering and Technology or any other university recognized by Mehran  University of Engineering and Technology for this purpose. He/She is further required  to be  proficient  in English Language,  and  be  physically and  mentally fit for the  study.  

At least 50% percentile score in GRE (Subject) or 50% score in GAT (subject) or 60% score in GRE (Subject) type test, in the area of specialization chosen at PhD level, conducted by the university is required prior to admission in the PhD program.

The applicant  must submit the  application  form duly completed  in all respects, along with the relevant documents by the last date fixed for this purpose.  The student may be registered  for a full time or part time  program. A full time  student, if employed,  will have  to obtain  study leave  from his/her employer  before  registration.  A part time student  if employed  will submit  a No  Objection  Certificate (NOC)  from his/her employer  before registration. Incomplete application  forms or applications not accompanied by the relevant documents and /or processing fee, or applications received after the due  date  will not be considered.  Each application  for admission will be processed  separately by the Graduate  Committee. The Committee reserves the right to refuse admission to any applicant without  assigning any reason,  or cancel  the  admission  of a student  at any stage if his/her conduct or progress in studies is not found  satisfactory.

Each student  is required  to register him/her self at the  University in the  field/discipline in which  he/she  takes courses,  does  research,  and  receives degree.  Tuition  and  other  fees  must  be  paid  at  the  time  of registration.

Duration of Program
The minimum duration for completing all the  requirements for the  full time and part time Ph.D.  degree  program  shall be  three years and five years, respectively.

The maximum duration for completing all the requirements for the full time and part time Ph.D.  degree  program  shall be  five years and seven years respectively. However, the ASRB may extend the period up to two years on account of any special circumstances on the recommendation of supervisor.

Course and Research Work

COURSE WORK
For strengthening student’s knowledge in his/her field of research work and for enabling him/her to carry out research properly, he/she is required to complete the course work of at least 18 credit hours followed by a comprehensive examination.

Transfer of credits earned in other Institutions may be approved in individual case up to a maximum determined by the Equivalence Committee.

Courses Offered

COMPULSORY COURSES       

S.NO.

Subject

C.H.

Marks

1.

 

Mathematical Modelling and Simulation

 

04

 

100

2.

 

Research Methodology

 

02

 

50

3.

 

Independent Study

 

03

 

75

 

Total:

09

225

OPTIONAL/ELECTIVE COURSES*    

S.NO.

Subject

C.H.

Marks

1.

 

Elective Course - I

 

 

2.

 

Elective Course - II

 

 

3.

 

Elective Course - III

 

 

 

Total:

09

225

*Considering the background of the student vis-à-vis the field of his research work, the student's Supervisor will propose these courses. The courses will be approved by the Board of Studies, Advanced Studies and Research Board,and the Academic Council.

Course Contents

MATHEMATICAL MODELING AND SIMULATION (04 Credit Hours, 100 Marks)
Matrix Algebra, computation of trivial and non-trivial solution linear and non-linear systems. Eigen values and Eigen vectors, Approximation theory.

Mathematical models. Introduction to physical laws and representation of dynamical systems. Ordinary differential equations (ODEs), partial differential equations (PDEs) and state equations. Applications of ODEs, PDEs and state equations in physical/engineering problems. Initial and boundary value problems.

Introduction to simulation techniques: Finite Difference Methods (FEM) and Finite Element Methods (FEM). Variational calculus, functional analysis and development of formulation. Design of steady and time dependent algorithms. Solution of PDEs and equations using FDM and FEM in one & two dimensional problems.

Development of one & two dimensional Computer Models for solution of steady state and transient problems.

RESEARCH METHODOLOGY (02 Credit Hours, 50 Marks)
Introduction to research, formulating a research problem, literature review, variables, constructing hypothesis, research design, constructing an instrument for data collection, attitudinal scales, validity and reliability of instrument, sampling, collection of data, ethical issues in data collection, processing and presenting data, writing a research proposal.

RESEARCH WORK
Each student has to prepare his/her research proposal in consultation with his/her advisor and apply on prescribed form to the concerned director who will process his/her application and forward it to the ASRB for approval. The ASRB will also approve the advisor and, if needed, co-advisor in consultation with advisor. After approval of his/her research proposal by the ASRB, the student shall be required to give initial seminar before the ASRB.

Before a candidate is finally registered for Ph.D. degree, the research proposal is to be evaluated by at least three experts in the relevant field, one from within the country and the two from technologically advanced countries abroad.

After completing all the formalities for registration, including initial seminar, the student shall proceed with his/her research work under the guidance of his Supervisor and give minimum two progressive seminars during the studies.

After completion of research, the student will submit draft copy of thesis for conducting the plagiarism test. When the thesis found authentic (free of plagiarism), the candidate will be allowed to deliver final seminar before the ASRB for approval of his/her research work and submission of thesis. The thesis will be sent to the same experts within the country and abroad who had originally evaluated the research proposal, provided that if he/she is not available, the ASRB shall appoint a new evaluator.

The candidate will be allowed to appear in the viva-voce examination to defend his/her thesis after incorporating the remarks of evaluators and submitting his/her modified thesis through his/her Supervisor. The report of the thesis examiner appointed by the ASRB should be unanimous for the award of the degree. If the examiners recommend that the student is successful at the viva-voce examination, he/she may be  declared  to have  passed  the  Doctor of Philosophy Degree  examination.  In case of failure, a second examination may be given on the recommendation of the examiners. No  student  will be  permitted  a third  examination.

Acceptance/publication of at least one research paper in an HEC approved journal is also essential for the award of Ph.D. degree.

Amendment to Regulations
These  Regulations may be  amended from time  to time  as deemed fit by the  authorities  of the Mehran University of Engineering & Technology, and, unless specifically stated otherwise, the amended Regulations shall apply  to  the  already  registered  students  as well as to  the  new  students.