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
- Duration: 02 Years
- Credit Hours:
- Semester:
- Campus: Main Campus
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 -701 | Advance Calculus | 3 | |
MTH -702 | Advance Measure Theory-I | 3 | |
MTH -703 | Advance Measure Theory-II | 3 | |
MTH-704 | Advanced Group Theory-I | 3 | |
MTH-705 | Advanced Group Theory-II | 3 | |
MTH-706 | Advanced Numerical Analysis | 3 | |
MTH-708 | Algebraic Topology | 3 | |
MTH-709 | Fixed Point Theory | 3 | |
MTH-710 | Hilbert Space Methods | 3 | |
MTH-711 | Linear Algebra | 3 | |
MTH-712 | Mathematical Techniques for Boundary Value Problems | 3 | |
MTH-713 | Numerical Linear Algebra | 3 | |
MTH-714 | Numerical Methods for Delay Differential Equations | 3 | |
MTH-715 | Numerical Methods for Ordinary Differential Equations | 3 | |
MTH-716 | Numerical Solutions of Partial Differential Equations-I | 3 | |
MTH-717 | Perturbation Methods-I | 3 | |
MTH-718 | Perturbation Methods-II | 4 | |
MTH-719 | Spectral Methods for Time Dependent Problems | 5 | |
MTH-720 | Theory of Fluids | 6 | |
MTH-721 | Uniform Convexity and Non-Expensive Mapping | 7 | |
MTH-722 | Viscous Fluid-I | 8 | |
MTH-723 | Viscous Fluid-II | 9 | |
MTH-724 | Field Theory | 10 | |
MTH-725 | Rings and Categories of Modules | 11 | |
MTH-726 | Gas Dynamics | 12 | |
MTH-727 | Theoretical Astrophysics | 13 | |
MTH-728 | Topological Vector Spaces | 14 | |
MTH-729 | Spectral Theory in Hilbert Spaces | 15 | |
MTH-730 | Banach Algebras | 16 | |
MTH-731 | Finite Element Method-I | 17 | |
MTH-732 | Finite Element Method-II | 18 | |
MTH-733 | Numerical Solutions of Partial Differential Equations-II | 19 | |
MTH-734 | Advanced Complex Analysis | 20 | |
MTH-735 | Advanced Mathematical Statistics | 21 | |
MTH-736 | Advanced Topology | 22 | |
MTH-737 | Approximation Theory and Applications | 23 | |
MTH-738 | Boundary Layer Flows | 24 | |
MTH-739 | Computational Fluid Dynamics for Laminar Flows | 25 | |
MTH-740 | Discontinuous Galerkin Methods for solving PDE’s | 26 | |
MTH-741 | Integral Equations | 27 | |
MTH-742 | Non-linear Ordinary Differential Equations I | 28 | |
MTH-743 | Non-linear Ordinary Differential Equations II | 29 | |
MTH-744 | Optimization Theory | 30 | |
MTH-745 | Parallel Scientific Computing | 31 | |
MTH-746 | Partial Differential Equations | 32 | |
MTH-747 | Special Functions-I | 33 | |
MTH-748 | Special Functions-II | 34 | |
MTH-749 | Spectral Methods in Fluid Dynamics | 35 | |
MTH-750 | Strict Convexity | 36 | |
MTH-751 | Topological Groups | 37 | |
MTH-752 | Numerical Ranges of Operators On Normed Spaces | 38 | |
MTH-753 | Von Neumann Algebras | 39 | |
MTH-754 | Advance Modules Theory | 40 | |
MTH-755 | Advance Ring Theory | 41 | |
MTH-756 | Advance Knot Theory-I | 42 | |
MTH-757 | Advance Knot Theory-II | 43 | |
MTH-758 | Galois Theory | 44 | |
MTH-759 | Topological Groups | 45 | |
MTH-760 | Differential Topology | 46 | |
MTH-761 | Advance Homotopy Theory-I | 47 | |
MTH-762 | Advance Homotopy Theory-II | 48 | |
MTH-763 | Commutative Rings-I | 49 | |
MTH-764 | Commutative Rings-II | 50 | |
MTH-765 | Multivariate Analysis-I | 51 | |
MTH-766 | Multivariate Analysis-II | 52 | |
MTH-767 | Advanced Fluid Dynamics-I | 53 | |
MTH-768 | Advanced Fluid Dynamics-II | 54 | |
MTH-769 | Applied Non-Parametric Methods | 55 | |
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 |