M.Phil Mathematics

Introduction

M.Phil. Mathematics program aims at producing graduate students in Mathematics who can contribute to the scientific, technological, and educational advancement of the country. The curriculum of M.Phil. Mathematics comprises of 8 courses. The courses can be selected from a wide range of available courses. The curriculum is designed to build the basic concepts of the students and to help them in attaining deep insight into the relevant field. As per HEC approved criteria, the Mathematics department of the Best University in Multan offers two kinds of M.Phil. Mathematics degrees are mentioned below. (a) MS/M.Phil. by course work (30 credit hours) (b) MS/M.Phil. by Thesis (24 credit hours course work + 06 credit hours thesis) Four courses of 12 credit hours are to be offered in the first semester as well as in the second semester. For this program, 8 permanent Ph.D. faculty members and 9 visiting Ph.D. faculty members are on board.

Eligibility Criteria

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  1. Sixteen years of schooling or 4 year education in relevant filed from HEC recognized DAI will be required for admission.
  2. The GAT-General (CAT-C) (www.nts.org.pk/gat/gat.asp) / ISP-Admit Test conducted by the National Testing Service with a minimum 50% cumulative score will be required at the time of admission

NOC

For M.Phill Mathematics program NOC is granted by HEC Pakistan.

Career Prospects

  • Lecturer at Universities
  • Lecturer at Colleges
  • Specialized Mathematics Instructor in Pakistan Air Force
  • Research Officer at Ministry of Planning, Development, and Reform
  • Investment analyst
  • Budget Analyst
  • Accountant
  • Stockbroker
  • Data Scientist
  • Astronaut
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Program Educational Objectives (PEOs)

Acquire a sound knowledge and deeper understanding of Mathematics and will be able to pursue their studies for Ph.D. in Mathematics.

Do research in Mathematics as well as related areas of other disciplines.

To read, discuss, write and present mathematics with proper mathematical reasoning.

To work both independently and collaboratively on mathematical problems in their own as well as allied areas while demonstrating high ethical values.

Acquire a sound knowledge of latest mathematical software, needed in their areas.

Pursue their professional career in universities, research organizations, Business and Finance, Govt. Departments as well as private organizations, etc.; and will be able to reach middle level management within five years.

Programs Learning Outcomes (PLOs)

To apply knowledge of Mathematics and other related areas to the solutions of problems occurring in their own areas as well as related areas of other disciplines.

To identify research literature and formulate mathematical problems for further analysis and investigations.

To create, select and apply appropriate methods and techniques for the solution of mathematical problems.

To apply their knowledge of social, health, cultural and economic issues in their professional responsibilities.

To apply high ethical values and norms in their professional careers.

To work effectively as an individual or as a member of team in multi-disciplinary environment.

To communicate effectively on mathematical ideas and techniques with mathematics community as well as society.

To engage in life-long learning in the context of latest advancements in their own and related areas.

Scheme of Studies for M.Phil Mathematics Program

Total Credit Hours = 30

Courses
Research Methodology
Non-Linear Ordinary Differential Equations-I
Elective I
Elective II
Advanced Functional Analysis
Advanced Partial Differential Equations
Elective III
Elective IV
Thesis(continued) or 2 Elective courses
Thesis
Elective Courses
Advanced Numerical Analysis
Theory of Fluids
Mathematical Inequalities
Graph Theory
Linear Programming
Fixed Point Theory
Heat Transfer Analysis
Commutative Algebra
Numerical Solution of Partial Differential Equations-I
Compressible Flows
Magneto- Hydrodynamics
Computational Fluid Dynamics for Laminar Flows
Parallel Scientific Computing
Fourier Series-I
Near Rings-I
Algebraic Topology-I
Computer Graphics
Computer Aided Geometric Design-I
Perturbation Analysis
Linear Algebra
Advanced Fluid Dynamics-I
Classical Electrodynamics-I
Advanced Electromagnetic Theory-I
Theory of B- Splines
Approximation Theory
Theory of Rings-I
Computer Aided Geometric Design-II
Non- Linear Programming
Fourier Series-II
Non-Linear Ordinary Differential Equations-II
Theory of Wavelets
Advanced Fluid Dynamics-II
Classical Electrodynamics-II
Advanced Electromagnetic Theory-II
Wave Propagation
Ostrowski Type Inequalities and Applications
Fixed Point Iterations