Ph.D. Mathematics
Programs Offered
Ph.D. Mathematics
Duration: 3 Years (6 Semesters)
Eligibility Criteria: MS/MPhil Degree in relevant discipline with minimum CGPA 3.00/4.00 or equivalent (70%), UW Entry Test (Minimum 70% Marks) or GAT-Subject (Minimum 60% Marks) or GRE-Subject (Minimum 60 Percentile)
Total Credit Hours: 30
The coursework for Ph.D. Mathematics degree program will comprise 18 credit hours, whereas the dissertation will have 12 credit hours. The Level-7 Ph.D. courses, if studied previously during MS studies, will not be counted in the course work completion of Ph.D.
.
| Course Code | Course Title | Credit Hours ( Th + Lab ) |
| MTH-7XX | Course -I | 3+0 |
| MTH-7XX | Course-II | 3+0 |
| MTH-XXX | Course-III | 3+0 |
| MTH-XXX | Course-IV | 3+0 |
| MTH-8XX | Course-V | 3+0 |
| MTH-8XX | Course-VI | 3+0 |
| MTH-899 | Ph.D. Dissertation | 12 |
Courses
| Course Code | Course Title | Credit Hours ( Th + Lab ) |
| MTH-721 | Advanced Hilbert Space Methods | 3+0 |
| MTH-722 | Operator Theory | 3+0 |
| MTH-723 | Fixed Point Theory and Applications | 3+0 |
| MTH-724 | Spectral Theory in Hilbert Spaces | 3+0 |
| MTH-727 | Variational Inequalities and its Applications | 3+0 |
| MTH-728 | Advanced Functional Analysis | 3+0 |
| MTH-742 | Advanced Numerical Analysis | 3+0 |
Courses
| Course Code | Course Title | Credit Hours ( Th + Lab ) |
| MTH-743 | Numerical Solutions of Partial Differential Equations | 3+0 |
| MTH-744 | Numerical Solution of Boundary Value Problems for ODEs | 3+0 |
| MTH-745 | Numerical Linear Algebra | 3+0 |
| MTH-821 | Advanced Mathematical Analysis | 3+0 |
| MTH-822 | Advanced Convex Analysis | 3+0 |
| MTH-732 | Advanced Partial Differential Equations | 3+0 |
| MTH-735 | Viscous Fluids | 3+0 |
| MTH-736 | Fluid Mechanics and Applications | 3+0 |
| MTH-738 | Advanced Integral Equations | 3+0 |
| MTH-739 | Boundary Value Problems | 3+0 |
| MTH-831 | Fractional Calculus and Applications | 3+0 |
| MTH-832 | Advanced Analytical Dynamics | 3+0 |
| MTH-833 | Advanced Boundary Value Problems | 3+0 |
| MTH-834 | Fluids with Rheological Characteristics | 3+0 |
| MTH-841 | Advanced Mathematical Methods | 3+0 |