Ph.D. Mathematics

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