Academic Programs

PhD Mathematics

Overview Road Map

Program Brief

Mathematics plays a very imperative role in the advancements of science and technology today. Its role is inevitable in interdisciplinary sciences and social sciences as well. In this program, we aim to investigate new techniques and algorithms and computational analysis with further emphasis on applications in different disciplines. The MS program spans over two years of full-time study in which the participant needs to successfully complete his/her required credit hours. Classes are normally scheduled in the evening for the benefit of employed participants. The school provides highly qualified Ph.D supervisors for completing PhD thesis. Students may specialize in several areas: Fluid dynamics, Peristaltic flows, Boundary layer flows, Computational techniques for solving nonlinear PDEs, Group theory, Fuzzy Algebra etc.

The Doctor of Philosophy (PhD) degree program is designed to develop knowledge and research skills in various applied/pure mathematics areas. The dissertation component of this program provides the candidates with an opportunity to solve highly complex, original problems in their area of interest. Universities and other research organizations employ graduates of this program. The candidates for this degree program can specialize in Fluid dynamics, computational Fluid Dynamics, Heat and mass transfer analysis, Computational Mathematics, Fuzzy Algebra, Cryptography, Computational Analysis, Differential Equations etc.

Program Mission Statement

PhD degree program is designed to develop knowledge and skills in specialized technical areas and promoting research interest and activities in the current dimensions. Fluid dynamics, Computational techniques for solving differential equations, Computer simulation and modeling, Fuzzy Algebra are widely used and connected with the modern dimensions like physiology, industry, biology, aerospace engineering, cryptography etc. The thesis component of this program provides the participant with an opportunity to apply the skills and knowledge acquired through the course-work in solving complex problems.

Program Structure

  • Elective Courses (18 credits) - These post graduate-level courses (700-level or above) allow the candidates to broaden his knowledge of the general discipline that they are working in.

     

    Comprehensive Examination - All candidates are required to pass the PhD Comprehensive Exam during the second year of their coursework.

     

    Research Proposal - The candidates are also required to prepare and defend a proposal of their intended research within 6-months of passing their Comprehensive Exam.

     

    Dissertation (36 credits) - All candidates must produce a Ph.D thesis consisting of original research of high-impact. This is normally established by publishing the results in international journals of high repute.

     

    Foreign Expert Evaluation - The Ph.D. Dissertation must be evaluated by at least two Ph.D. experts from technologically/academically advanced foreign countries in addition to local Committee members

     

    Open defense - An open defense of Dissertation is essential part of PhD Program after positive evaluation.

     

    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 must be conducted on the Dissertation before its submission to the two foreign experts, as described below.

     

    Copy of PhD Dissertation to HEC - A copy of Ph.D. Dissertation (both hard and soft) must be submitted to HEC for record in Ph.D. Country Directory and for attestation of the PhD degree by the HEC in future.

Career Prospects

Mathematics has become one of the main focused research area in Pakistan and around the world as well. Due to applications and usefulness in basic sciences and other disciplines, there is a growing demand of applied mathematicians in public and private sectors, research organizations and industries. We hope the graduates will play a vital role by serving as well trained mathematician, system analyst and optimization analysts and other mathematics related jobs. PhD program prepares the students with best all-inclusive skills and knowledge they need to pursue the best career option in the most dynamic areas of modern science and technology. This program practice the students to understand the mathematical problem lying in the daily life system, model it and then solve it by using analytic and numerical technique. During the last few decades, the Mathematics has become the focal and grooming research area due to the exponential growth of science and technology all over the world and growing demand of professionals and researchers. The most outstanding career paths of MS/PhD students are teaching, research support or grant administration.

PhD Degree Awarding Criteria


Duration: Minimum of 3 years

Credit Hours: 54 (18 course work + 36 thesis)

Eligibility / Admission Criteria for the Program

  • For admission into the PhD 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 is required.
  • In the case of GAT Subject test (http://www.nts.org.pk/GAT/GATSubject.asp) a minimum of 60% marks is required to pass the test.
  • Interview

 

Apply Online

Chairperson of Department

Dr. Muhammad Saeed

mth.cod@umt.edu.pk

Academic officer

Nadeem Moazzam

nadeem@umt.edu.pk

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