The PhD in Mathematics at TUF is the highest academic degree in the field, focusing on original research and advanced mathematical theories. This doctoral program is designed to produce scholars who can develop new mathematical models and solve complex problems in science, engineering, and data analysis.
Choosing this program at TUF provides a high-level research environment where logic meets innovation.
A PhD Mathematics graduate can build a successful career in both academic and professional fields. Career options include:
Students gain hands-on experience through:
| Course Code | Course Title | Credit Hours |
|---|---|---|
| MATH-xxx | Elective I | 3(3-0) |
| MATH-xxx | Elective II | 3(3-0) |
| MATH-xxx | Elective III | 3(3-0) |
| Credit Hours | 9 |
| Course Code | Course Title | Credit Hours |
|---|---|---|
| MATH-xxx | Elective IV | 3(3-0) |
| MATH-xxx | Elective V | 3(3-0) |
| MATH-xxx | Elective VI | 3(3-0) |
| Credit Hours | 9 |
| Course Code | Course Title | Credit Hours |
|---|---|---|
| MATH-820 | Thesis | 6(0-6) |
| Total Credit Hours | 24 |
| Course Code | Course Title | Credit Hours |
|---|---|---|
| MATH -801 | Advanced Function Analysis | 3(3-0) |
| MATH -802 | Advanced Ring Theory-I | 3(3-0) |
| MATH -803 | Advanced Ring Theory-II | 3(3-0) |
| MATH-804 | Advanced Fuzzy Method | 3(3-0) |
| MATH-805 | Advanced Fuzzy Graphs | 3(3-0) |
| MATH-806 | Advanced Real Analysis | 3(3-0) |
| MATH-807 | Advanced Topological Vector Spaces | 3(3-0) |
| MATH-808 | Advanced Algebraic Topology | 3(3-0) |
| MATH-809 | Advanced Complex Variables | 3(3-0) |
| MATH-810 | Advanced Fixed point Theory-I | 3(3-0) |
| MATH-811 | Advanced Fixed point Theory-II | 3(3-0) |
| MATH-812 | Advanced Approximation Theory | 3(3-0) |
| MATH-813 | Advanced Galois theory | 3(3-0) |
| MATH-814 | Advanced Number Theory | 3(3-0) |
| MATH-815 | Advanced Measure Theory | 3(3-0) |
| MATH-816 | Advanced Semigroup Theory | 3(3-0) |
| MATH-817 | Advanced Group Actions | 3(3-0) |
| MATH-818 | Advanced Group Graphs | 3(3-0) |
| MATH-819 | Advanced Rough Set theory | 3(3-0) |
| MATH-821 | Advanced Fuzzy Logic | 3(3-0) |
| MATH-822 | Advanced Function Spaces | 3(3-0) |
| MATH-823 | Advanced Spectral Graph Theory | 3(3-0) |
| MATH-824 | Advanced Near Ring Theory | 3(3-0) |
| MATH-825 | Advanced Semi Ring Theory | 3(3-0) |
| MATH-826 | Advanced Cryptography Theory | 3(3-0) |
| MATH-827 | Advanced Commutative Ring | 3(3-0) |
| MATH-828 | Advanced Differential Topology | 3(3-0) |
| MATH-829 | Advanced Topological Groups | 3(3-0) |
| MATH-830 | Advanced Modules Theory | 3(3-0) |
| MATH-831 | Advanced Group Theory | 3(3-0) |
| MATH-832 | Advanced Fuzzy Differential Equations | 3(3-0) |
| MATH-833 | Advanced Category Theory | 3(3-0) |
| MATH-834 | Advanced Locales Theory | 3(3-0) |
| MATH-835 | Advanced Topological Indices | 3(3-0) |
| MATH-836 | Advanced Riemannian Geometry | 3(3-0) |
| MATH-837 | Advanced Optimization Theory | 3(3-0) |
| MATH-838 | Advanced Integral inequalities | 3(3-0) |
| MATH-839 | Advanced Financial mathematics | 3(3-0) |
| MATH-840 | Advanced Partial Differential Equations | 3(3-0) |
| MATH-841 | Advanced Graph Theory | 3(3-0) |
| MATH-842 | Advanced Perturbation Methods | 3(3-0) |
| MATH-843 | Advanced Heat and Mass Transfer | 3(3-0) |
| MATH-844 | Advances in Group Theoretic Methods | 3(3-0) |
| MATH-845 | Advanced Mathematical Methods | 3(3-0) |
| MATH-846 | Advanced Fluid Dynamics | 3(3-0) |
| MATH-847 | Advanced Heat Transfer | 3(3-0) |
| MATH-848 | Momentum and Thermal Boundary Layer Theory | 3(3-0) |
| MATH-849 | Group Analysis of Partial Differential Equations | 3(3-0) |
| MATH-850 | Convective Heat Transfer: Viscous Fluids | 3(3-0) |
| MATH-851 | Advanced Magnetohydrodynamics | 3(3-0) |
| MATH-852 | Mathematical Analysis of Heat Transfer | 3(3-0) |
| MATH-853 | Advanced Analytical Dynamics | 3(3-0) |
| MATH-854 | Non-Newtonian Fluid Mechanics | 3(3-0) |
| MATH-855 | Advanced Multivariate Methods and Analysis | 3(3-0) |
| MATH-856 | Advanced Finite Element Analysis | 3(3-0) |
| MATH-857 | Advanced Optimization Theory | 3(3-0) |
| MATH-858 | Advanced Integral Equations | 3(3-0) |
| MATH-859 | Computational Fluid Dynamics | 3(3-0) |
| MATH-860 | Mathematical Models in Biomathematics | 3(3-0) |
| MATH-861 | Modeling and Simulation | 3(3-0) |
| MATH-862 | Advanced Operation Research | 3(3-0) |
| MATH-863 | Mathematical Modeling-I | 3(3-0) |
| MATH-864 | Mathematical Modeling-II | 3(3-0) |
| MATH-865 | Advanced Differential Equations | 3(3-0) |
| MATH-866 | Theory of Difference Equations | 3(3-0) |
| MATH-867 | Advanced Topics in Numerical Analysis | 3(3-0) |
| MATH-868 | Advanced Research Methodology in Mathematics | 3(3-0) |
| MATH-869 | Advanced LA-Semigroup | 3(3-0) |
BS-Speech and Language Pathology
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PHD URDU
MPHIL URDU