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

BS/BS 2.5(Mathematics) with CGPA 2.5/4.00 or MSc (Mathematics) 2^nd Division (C-Grade) or Equivalent degree.
The GAT-General (Category-C)/USP-Admission Test with a minimum 50% cumulative score.

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

Program Educational Objectives (PEOs)

PEO-I

Get admission in an institute/university for pursuing their studies for PhD degree and possess mathematical knowledge and skills to enhance their intellectual capabilities for professional growth in mathematics and allied disciplines.

PEO-II

Pursue professional career in employment and can excel through the ranks by hard work as an individual and as a team member while demonstrating interpersonal skills and high ethical values.

PEO-III

To be part in the teams to solve and model problems in different workplaces of professional areas like health care, graphic design, data organizing, engineering, etc.

Programs Learning Outcomes (PLOs)

PLO-I (Mathematics Knowledge)

On the basis of demonstrated knowledge of Mathematics the graduates shall be able to provide the solutions of complex problems concerning Mathematics and the allied areas

PLO-II (Problem Analysis)

The students will have the ability to identify and analyze the complex mathematical problems in the field of pure and applied Mathematics.

PLO-III (Scheme of Solutions)

The students will have the ability to find appropriate methods, techniques and software for attaining the solutions of complex mathematical problems.

PLO-IV (Investigation)

The students will have the ability to investigate difficult Mathematical problems in methodical way include literature review, design and collection of initial evaluation data, and finalized the gathered information to deuce and prove valid results.

PLO-V (Modern Tool usage)

The students will have the ability to use modern mathematical software to solve problems and analysis the solutions.

PLO-VI (Mathematician and society)

An ability to apply mathematics using quantitative sophistication in everyday life to compute for making purchasing decisions, choosing insurance or health plans, and voting knowledgeably.

PLO-VII (Environment and sustainability)

An ability to conserve the values of Mathematics, which is one of the greatest cultural and intellectual achievements of human-kind, by understanding its achievement in providing the optimal solutions to mankind for the sustainability of the world.

PLO-VIII (Ethics)

Apply ethical principles and commit to professional ethics and responsibilities and norms with mathematical community and society

PLO-IX (Individual and Team Work)

An ability to work effectively, as an individual or in a team, on multifaceted and /or multidisciplinary settings.

PLO-X (Communication)

An ability to communicate effectively, orally as well as in writing, on mathematical concepts with the community of mathematicians and with society at large, such as being able to comprehend and write effective reports and design documentation, make effective presentations, and give and receive clear instructions.

PLO-XI (Project Management)

The students will have the ability to demonstrate management skill by applying Mathematical reasoning to one’s own work, as a member or leader in a team, to manage research projects in different branches of Mathematics.

PLO-XII (Lifelong Learning)

An ability to recognize importance of, and pursue lifelong learning in the broader context of innovation and latest developments in their field.

Scheme of Studies for M.Phil Mathematics Program

Total Credit Hours = 30

Courses
Core-I *	Core-II *	Core-III *	Core-IV *
Elective-I **	Elective-II **	Elective-III **	Elective-IV **
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