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.

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

16 Years relevant education from HEC recognized institute with at least 2nd Division and GAT General (Cat-C, Physical Sciences) with at least 50 % score.

 

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