Academic Programs

MS-PhD Mathematics

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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 MS 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 Peristaltic flow problems, Fluid dynamics, computational Fluid Dynamics, Magnetohydrodynamics flows, Heat and mass transfer analysis, Computational Mathematics, Fuzzy Algebra, Cryptography etc.

Program Mission Statement

MS/PhD degree program are 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

  • Duration: 2 Year
  • Semesters: 4
  • Description of Courses (Core Courses & Elective Courses)
    • Core Courses: 15 CH’s
    • Elective Courses: 9 CH’s
  • Thesis Credit hours: 6
  • Total Credit Hours: Minimum 30

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. MS/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.

Eligibility / Admission Criteria for the Program

As per HEC criteria

MS Degree Awarding Criteria

Minimum 30 credit hours

Ph.D Degree Awarding Criteria

The 48 credit-hours coursework for this program consists of three components. Up to 50% of the course requirements may be fulfilled through transfer of credits from UMT's MS degree or equivalent.

Program Required Courses (15 credits) - The required courses cover the breadth of the relevant discipline and are the same as the MS core courses in that discipline.

Specialization Core Courses (12 credits course work+6 credit course MS thesis=18) - These post graduate-level courses (500-level or above) provide depth in the candidate's area of specialization and are selected in consultation with the dissertation advisor.

Elective Courses (18 credits) - These post graduate-level courses (500-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. The Ph.D thesis will also be examined by two international experts who have sufficient experience in dissertation evaluation in the said field. After finishing the thesis, the candidate must defend it in front of the Dissertation Committee.

Duration: Minimum of 3 years
Credit Hours: 84 (48 course work + 36 thesis)

MS Program Summary

Duration 02 years

Semesters 04

Credit Hours 30

 

Admission Requirements

  • No third Division in academic career
  • 16 years of education in relevant discipline with minimum 2.5/4 CGPA + GAT 50%
  • Interview

PhD Program Summary

Duration 3 years (minimum)

Course Work Credit Hours 18 (minimum)

 

Admission Requirements

  • No third Division in academic career
  • 18 years of relevant qualification with minimum 3.0/4.0 CGPA + GAT (Subject) 60%
  • Interview

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