PhD Mathematics
Description
a. MS/MPhil Degree (18 years of education with 6 credit hrs. research) in relevant discipline from HEC recognized University with minimum 3.0 out of 4.0 CGPA under semester system OR 1st Division under annual system.
b. Selection in the respective program will be subject to availability of seats, merit based on academic qualification, valid GRE International / NTS / NUML devised GAT- subject score and interview.
c. Applicants with valid GRE International/GAT-Subject from NTS will have to pass written/subjective portion of NUML GAT-S (as per schedule of respective Faculties) to secure admission.
d. Candidate qualified for interview will have to submit and present a Statement of Purpose1500-2000 words (inclusive of title of research, intended field, potential research and passion for area of research) for PhD studies at the time of interview.
e. For Management Sciences only: Candidates who have completed 30 credit hours of coursework in the case of professional degrees at the master's level, such as MBA and MS in Project Management are also eligible. However, preference will be given to those who have MS Degree with research at Level-7.
Eligibility
PhD (Mathematics) Degree Programme (Three Years-Six Semesters)
The Department of Mathematics, National University of Modern Languages (NUML), Islamabad offers Graduate Programs leading to the degree of PhD in Mathematics. The diversity of graduate courses offered in the department give the student an opportunity to specialize in one of the several fields of
- Pure Mathematics,
- Applied Mathematics,
- Computational Mathematics
OBJECTIVES OF THE PROGRAM
This program is designed to develop most recent knowledge and up to dated research in Mathematics. We have experts in many major areas of Mathematics covering applied, computational and pure Mathematics. The main focus of the program is to prepare a workforce of mathematicians who are well familiar with current and new trends in the subject.
ADMISSION
Admission to Ph.D. (Mathematics) Programmeme will be made as per rules and regulations of National University of Modern Languages Islamabad, and on HEC criteria for Ph.D. Programme.
Admission Requirement
For admission to PhD (Mathematics) programme, minimum CGPA 3.0 (out of 4.0 in the Semester System) or First Division (in the Annual System) in M.Phil/M.S/Equivalent (with research) is required.
Subject Test
A subject test conducted by the National Testing Service (NTS) or ETS, USA in the subject of Mathematics must be cleared prior to admission in the PhD (Mathematics) Programme.
In the case of the GAT Subject test (http://www.nts.org.pk/GAT/GATSubject.asp), a minimum of 60% marks is required to pass the test. or In the case of the GRE subject test, a minimum of 60% Percentile Score will be acceptable. A Committee comprising at least 3 PhD faculty members from Department of Mathematics NUML approved by the Rector NUML will conduct the Test at par with GRE Subject Test and qualifying score for this will be 70% .
COURSE WORK
Ph.D. (Mathematics) is a 42 Cr Hrs programme, that includes:
a. Course Work: – 18 Cr Hrs
b. Comprehensive Exam + Viva Voce: – 06 Cr Hrs
c. Thesis + Oral Defence: – 18 Cr Hrs
Passing criteria of course work and comprehensive exam will be as follows:
a. Course Work |
Minimum CGPA 3.0 out of 4.0 |
b. Comprehensive Exam + Viva Voce |
60% passing marks in comprehensive Exams + 60% passing marks in Viva Voce |
c. Thesis + Oral Defence |
An open Defence of the thesis is essential part of PhD Programme after positive evaluation. |
- Comprehensive Exam of 150 marks will be taken from Six subjects, four from BS/MSc and two from MS/PhD with the consent of the supervisor. Viva Voce exam will be of 50 marks.
- ·Number of chances to pass the comprehensive exam will be two.
- Course work/Comprehensive Exam must be cleared within the first two years from the date of admission.
- The Ph.D. Thesis would be evaluated by at least two Ph.D. experts from technologically/ academically advanced foreign countries and two local experts in addition to one internal examiner.
Board of Examiners for PhD Defence
Board of Examiners for PhD Defence will be as follows:
• Dean of Faculty
• Head of Department
• Supervisor
• Internal Examiner
• Two Local Experts
Research Paper
Acceptance/publication of at least one research paper in an HEC-approved “X” category journal is a requirement for the award of Ph.D. degree.
Plagiarism Test
The Plagiarism Test would be conducted on the thesis before its submission to the two foreign experts.
Duration of PhD Programme
- The minimum period for completion of PhD requirements shall be three years from the date of registration, and the maximum period shall be seven years. Copy of PhD Thesis to HEC
- A copy of Ph.D. thesis (both hard and soft) would be submitted to HEC for record in Ph.D. Country Directory and for attestation of the PhD degree by the HEC in future.
Conduct of PhD Programme
- There would be at least 3 relevant full time Ph.D. Faculty members in the Department of Mathematics to launch the Ph.D. programme.
- The maximum number of Ph.D. students under the supervision of a full time faculty member would be five.
Brief Description of Ph.D. Degree Requirement
To complete Ph.D. degree Programme, a candidate must
a. Complete 18 credit-hours course work.
b. Qualify Comprehensive Examination.
c. Present the 1^{st} Seminar in 4^{th} or 5^{th} Semester of Ph.D and 2^{nd} Seminar in 6^{th} Semester.
d. Attend a workshop on Computer Tools for Mathematics or MATH 692 Research Methodology.
e. Deliver a pre-submission seminar prior to submission of Ph.D thesis.
f. Prepare a PhD thesis of 18 credit hours comprising at least 100 pages.
g. Meet other requirements as per rules and regulations and prescribed procedure of NUML and HEC minimum criteria for Ph.D. Programme for award of Ph.D. degree.
Doctor of Philosophy (Ph.D.) Degree Scheme of Studies
- Students can take at least one course and at the most four courses in one semester from the list given below.
- Students cannot opt for any course from the given list if he/she has studied that course in M.Phil /MS (Mathematics) Programme
PhD (Mathematics)
Degree Scheme of Studies (Six Semesters)
Students of PhD (Mathematics) program will be offered courses in three/four courses in the first semester and three/four courses in the second semester as follows:
First Semester |
Title |
LT |
LB |
CR |
MATH xxx |
Elective I |
3 |
0 |
3 |
MATH xxx |
Elective II |
3 |
0 |
3 |
MATH xxx |
Elective III |
3 |
0 |
3 |
Sub-TOTAL |
9 |
Second Semester |
Title |
LT |
LB |
CR |
MATH xxx |
Elective IV |
3 |
0 |
3 |
MATH xxx |
Elective V |
3 |
0 |
3 |
MATH xxx |
Elective VI |
3 |
0 |
3 |
Sub-TOTAL |
9 |
Third Semester |
Title |
LT |
LB |
CR |
MATH 899 |
Dissertation |
0 |
0 |
3 |
Sub-TOTAL |
3 |
Fourth Semester |
Title |
LT |
LB |
CR |
MATH 899 |
Dissertation |
0 |
0 |
3 |
Sub-TOTAL |
3 |
Fifth Semester |
Title |
LT |
LB |
CR |
MATH 899 |
Dissertation |
0 |
0 |
3 |
Sub-TOTAL |
3 |
Sixth Semester |
Title |
LT |
LB |
CR |
MATH 899 |
Dissertation |
0 |
0 |
3 |
Sub-TOTAL |
3 |
Sixth Semester |
Title |
LT |
LB |
CR |
MATH 899 |
Dissertation |
0 |
0 |
3 |
Sub-TOTAL |
3 |
Sixth Semester |
Title |
LT |
LB |
CR |
MATH 899 |
Dissertation |
0 |
0 |
3 |
Sub-TOTAL |
3 |
TOTAL: 42 Cr Hrs