PHD MATHEMATICS (AFTER MS/MPHIL)

PhDMATH

COURSE FACT

STUDY LEVEL STUDY NOTE PROGRAM DURATION CREDITS HOURS

Post Graduate

Full-Time

6 Semesters (3 years)

24

Eligibility Criteria

The candidate must have minimum CGPA of 3.0 out of 4.0 in the semester system) or 60% (in the annual system) in the MS/MPhil/Equivalent, whether such degree was obtained from Pakistani or foreign universities.

ADP Graphic Design

ADP Interior Design

MBA Executive

MBA

PhD Optometry

PhD Physics

ADMISSIONS

OPEN 2023

OBJECTIVES

ROLE AND SCOPE

Semester 1

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

Semester 2

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

Semester 3 & 4 (after qualifying comprehensive examination)

Course Code Course Title Credit Hours
MATH-820 Thesis work (Continue) 6(0+6)
  Total Credit Hours 24

List of Elective Courses

Course Code Course Title Credit Hours
MATH-701 Advanced Functional Analysis 3(3+0)
MATH-702 Advanced Ring Theory-I 3(3+0)
MATH-703 Advanced Numerical Analysis 3(3+0)
MATH-704 Mathematical Techniques for Boundary Value Problems 3(3+0)
MATH-705 Advanced Real Analysis 3(3+0)
MATH-706 Advanced Fluid Dynamics 3(3+0)
MATH-707 Advanced Partial Differential Equations 3(3+0)
MATH-708 Advanced Graph Theory 3(3+0)
MATH-709 Advanced Fuzzy Graph Theory 3(3+0)
MATH-710 Advanced Fuzzy System 3(3+0)
MATH-711 Perturbation Methods 3(3+0)
MATH-712 Advanced Analytical Dynamics 3(3+0)
MATH-713 Group Theoretic Methods 3(3+0)
MATH-714 Advanced Mathematical Methods 3(3+0)
MATH-715 Topological Vector Spaces 3(3+0)
MATH-716 Algebraic Topology 3(3+0)
MATH-717 Theory of Complex Variables 3(3+0)
MATH-718 Fixed Point Theory and Applications-I 3(3+0)
MATH-719 Fixed Point Theory and Applications-II 3(3+0)
MATH-721 Approximation Theory and Applications 3(3+0)
MATH-722 Field Extensions and Galois Theory 3(3+0)
MATH-723 Algebraic Number Theory 3(3+0)
MATH-724 Measure Theory 3(3+0)
MATH-725 Fourier Analysis 3(3+0)
MATH-726 Semigroup Theory 3(3+0)
MATH-727 Theory of LA-Semigroups 3(3+0)
MATH-728 Advanced Ring Theory-II 3(3+0)
MATH-729 Theory of Group Actions 3(3+0)
MATH-730 Theory of Group Graphs 3(3+0)
MATH-731 Rough set theory and its Applications 3(3+0)
MATH-732 Fuzzy Logic and Algebra 3(3+0)
MATH-733 Theory of Function Spaces 3(3+0)
MATH-734 Harmonic Analysis 3(3+0)
MATH-735 Spectral Graph Theory 3(3+0)
MATH-736 Advanced Category Theory 3(3+0)
MATH-737 Theory of Locales 3(3+0)
MATH-738 Topological Indices of Chemical Graphs 3(3+0)
MATH-739 Young Tableaux with Applications 3(3+0)
MATH-740 Advanced Riemannian Geometry 3(3+0)
MATH-741 Knot Theory with Applications 3(3+0)
MATH-742 Fuzzy Logic and its Applications 3(3+0)
MATH-743 Analysis of Algorithms 3(3+0)
MATH-744 Advanced Optimization Theory 3(3+0)
MATH-745 Advanced Integral Equations 3(3+0)
MATH-746 Integral Inequalities 3(3+0)
MATH-747 Theory of Splines 3(3+0)
MATH-748 Finite Element Method for Partial Differential Equations 3(3+0)
MATH-749 Computational Fluid Dynamics 3(3+0)
MATH-750 Mathematical Models in Biomathematics 3(3+0)
MATH-751 Fuzzy Differential Equations 3(3+0)
MATH-752 Advanced Finite Element Analysis 3(3+0)
MATH-753 Financial Mathematics-I 3(3+0)
MATH-754 Financial Mathematics-II 3(3+0)
MATH-755 Stochastic Calculus-I 3(3+0)
MATH-756 Stochastic Calculus-II 3(3+0)
MATH-757 Advanced Topics in Numerical Analysis 3(3+0)
MATH-758 Enumerative Combinatorics 3(3+0)
MATH-759 Symmetries and Exact Solutions of Differential Equations 3(3+0)
MATH-760 Mathematical Analysis of Heat Transfer 3(3+0)
MATH-761 Heat and Mass Transfer 3(3+0)
MATH-762 Advanced Perturbation Methods 3(3+0)
MATH-763 Non-Newtonian Fluid Mechanics 3(3+0)
MATH-764 Plasma Theory-I 3(3+0)
MATH-765 Plasma Theory-II 3(3+0)
MATH-766 Modeling and Simulation 3(3+0)
MATH-767 Advanced Operation Research 3(3+0)
MATH-768 Mathematical Modeling-I 3(3+0)
MATH-769 Mathematical Modeling-II 3(3+0)
MATH-770 Advanced Differential Equations 3(3+0)
MATH-771 Theory of Difference Equations 3(3+0)
MATH-772 Advanced Topics in Dynamical Systems 3(3+0)
MATH-773 General Relativity-I 3(3+0)
MATH-774 General Relativity-II 3(3+0)
MATH-775 Fluid Dynamics 3(3+0)
MATH-776 Numerical Solutions of Partial Differential Equations 3(3+0)
MATH-777 Advanced Heat Transfer 3(3+0)
MATH-778 Momentum and Thermal Boundary Layer Theory 3(3+0)
MATH-779 Numerical Solutions of Ordinary Differential Equations 3(3+0)
MATH-780 Group Analysis of Partial Differential Equations 3(3+0)
MATH-781 Convective Heat Transfer: Viscous Fluids 3(3+0)
MATH-782 Advanced Group Theory 3(3+0)
MATH-783 Advanced Modules Theory 3(3+0)
MATH-784 Advanced Topological Groups 3(3+0)
MATH-785 Advanced Differential Topology 3(3+0)
MATH-786 Commutative Rings 3(3+0)
MATH-787 Cryptography 3(3+0)
MATH-788 Semi ring 3(3+0)
MATH-789 Near ring 3(3+0)
MATH-790 Theory of loop groups 3(3+0)
MATH-791 Research Methodology 3(3+0)

Note:

Elective may be offered from the list attached depending on the availability of resources of the department.