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

18 Years of Education, MPhil (with research) in Mathematics from HEC recognized university with minimum 3.00/4.00 CGPA in semester system or 60% marks in annual system.

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

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

List of Elective Courses

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)

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