MPhil Mathematics |Best University in Multan

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.

Program Educational Objectives (PEOs)

After completion of M.Phil. degree in Mathematics our students shall be able to:

PEO-I

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

PEO-II

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

PEO-III

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

PEO-IV

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

PEO-V

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

PEO-VI

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)

The PLOs of our M.Phil. Mathematics program are as follows:

PLO-I

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.

PLO-II

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

PLO-III

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

PLO-IV

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

PLO-V

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

PLO-VI

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

PLO-VII

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

PLO-VIII

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

Eligibility Criteria

Sixteen years of schooling or 4 year education in relevant filed from HEC recognized DAI will be required for admission.
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

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

NOC

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

Scheme of Studies for M.Phil Mathematics Program

Total Credit Hours = 30

Elective I	Elective III	Elective IV
Elective II	Elective V	Elective VI
Elective VII	Elective VIII	Thesis continued
Thesis continued

Elective Courses

Research Methodology	Advanced Numerical Analysis	Advanced Functional Analysis
Linear Algebra	Fixed Point Theory	Approximation Theory
Ostrowski Type Inequalities and Their Applications	Near Rings II (Special Classes)	Theory of Rings I
Near Rings I	Algebraic Topology I	Computer Aided Geometric Design-I
Computer Aided Geometric Design-II	Linear Programming	Non Linear Programming
Computer Graphics	Graph Theory	Fourier Series I
Fourier Series II	Numerical Solution of Partial Differential Equations	Non-Linear Ordinary Differential Equations
Advanced Partial Differential Equations	Non-Linear Ordinary Differential Equations II	Introduction to Wavelets
Wave Propagation	Basics of Theory of Fluids	Heat Transfer Analysis
Perturbation Analysis	Advanced Fluid Dynamics-I	Advanced Fluid Dynamics-II
Compressible Flows	Classical Electrodynamics I	Classical Electrodynamics II
Magneto- Hydrodynamics	Advanced Electromagnetic Theory I	Advanced Electromagnetic Theory II
Computational Fluid Dynamics for Laminar Flows	Theory of B- Splines	Commutative Algebra
Parallel Scientific Computing	Advanced Topology I	Advanced Topology II

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