Gomal University

Department of Mathematics

Master of Philosophy in Mathematics

Introduction

The Master of Philosophy (M.Phil.) in Mathematics at Gomal University is an advanced postgraduate program designed to deepen students’ knowledge in both pure and applied mathematics. The program spans two years and focuses on areas such as algebra, calculus, mathematical modeling, number theory, and differential equations. It emphasizes research and analytical thinking, encouraging students to explore complex mathematical problems and contribute to the field through innovative research.

Students are trained in advanced mathematical techniques and research methodologies, preparing them for careers in academia, research institutions, and industries requiring high-level quantitative skills, such as finance, engineering, and technology. The program also serves as a pathway for further academic pursuits, including Ph.D. studies.

With access to expert faculty and modern research facilities, Gomal University provides an ideal environment for academic and professional growth in mathematics. Graduates of the M.Phil. program are equipped with the skills needed for research and teaching roles or specialized industry positions.

Program Features

Admission Requirement: BS in Mathematics 

Following is the complete list of courses offered for M. Phil/Ph.D. Programs
Code Course Name Credit Hours
MTH -701Advance Calculus3
MTH -702Advance Measure Theory-I3
MTH -703Advance Measure Theory-II3
MTH-704Advanced Group Theory-I3
MTH-705Advanced Group Theory-II3
MTH-706Advanced Numerical Analysis3
MTH-708Algebraic Topology3
MTH-709Fixed Point Theory3
MTH-710Hilbert Space Methods3
MTH-711Linear Algebra3
MTH-712Mathematical Techniques for Boundary Value Problems3
MTH-713Numerical Linear Algebra3
MTH-714Numerical Methods for Delay Differential Equations3
MTH-715Numerical Methods for Ordinary Differential Equations3
MTH-716Numerical Solutions of Partial Differential Equations-I3
MTH-717Perturbation Methods-I3
MTH-718Perturbation Methods-II4
MTH-719Spectral Methods for Time Dependent Problems5
MTH-720Theory of Fluids6
MTH-721Uniform Convexity and Non-Expensive Mapping7
MTH-722Viscous Fluid-I8
MTH-723Viscous Fluid-II9
MTH-724Field Theory10
MTH-725Rings and Categories of Modules11
MTH-726Gas Dynamics12
MTH-727Theoretical Astrophysics13
MTH-728Topological Vector Spaces14
MTH-729Spectral Theory in Hilbert Spaces15
MTH-730Banach Algebras16
MTH-731Finite Element Method-I17
MTH-732Finite Element Method-II18
MTH-733Numerical Solutions of Partial Differential Equations-II19
MTH-734Advanced Complex Analysis20
MTH-735Advanced Mathematical Statistics21
MTH-736Advanced Topology22
MTH-737Approximation Theory and Applications23
MTH-738Boundary Layer Flows24
MTH-739Computational Fluid Dynamics for Laminar Flows25
MTH-740Discontinuous Galerkin Methods for solving PDE’s26
MTH-741Integral Equations27
MTH-742Non-linear Ordinary Differential Equations I28
MTH-743Non-linear Ordinary Differential Equations II29
MTH-744Optimization Theory30
MTH-745Parallel Scientific Computing31
MTH-746Partial Differential Equations32
MTH-747Special Functions-I33
MTH-748Special Functions-II34
MTH-749Spectral Methods in Fluid Dynamics35
MTH-750Strict Convexity36
MTH-751Topological Groups37
MTH-752Numerical Ranges of Operators On Normed Spaces38
MTH-753Von Neumann Algebras39
MTH-754Advance Modules Theory40
MTH-755Advance Ring Theory41
MTH-756Advance Knot Theory-I42
MTH-757Advance Knot Theory-II43
MTH-758Galois Theory44
MTH-759Topological Groups45
MTH-760Differential Topology46
MTH-761Advance Homotopy Theory-I47
MTH-762Advance Homotopy Theory-II48
MTH-763Commutative Rings-I49
MTH-764Commutative Rings-II50
MTH-765Multivariate Analysis-I51
MTH-766Multivariate Analysis-II52
MTH-767Advanced Fluid Dynamics-I53
MTH-768Advanced Fluid Dynamics-II54
MTH-769Applied Non-Parametric Methods55
MTH-769Note: Every student will have to opt four courses in both the semesters 1st & 2nd, subject to the availability of teaching faculty and convenience of the department. After successful completion of course work, students will write down their dissertation in 3rd & 4th semester.55
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