Ph.D. Mathematics

Eligibility Criteria

  • Have an MS/M.Phil. (Mathematics)/Equivalent degree in 1st Division or minimum CGPA 3.00 out of 4.00
  • Have passed GRE Mathematics (International) with 60% marks or ISP admission test with 60% marks
  • Have pass an interview conducted by the Department of Mathematics


Scheme of Studies for Ph.D. Mathematics Program

For award of Ph.D. Mathematics degree, candidates will be required to complete 18 Credit Hours of course work along with completions and successful defense of 06 Credit Hours research thesis. The minimum duration of the program will be 04 years (extendable up to 8 years subject to approval by the competent authority).

Elective I Elective II Elective III
Elective IV Elective V Elective VI
Research Thesis

Research thesis will be got evaluated from three reputed experts in Mathematics (01 from Pakistan and 02 from foreign HEC listed countries)

Elective Courses

Viscous Fluids I Optimization Theory Perturbation Method I
Fixed Point Theory and Applications Numerical Solutions of Ordinary Differential Equations Topics in Ring Theory
Numerical Linear Algebra Approximation Theory and Application Lattice Theory
Variational Inequalities and Applications Integral Inequalities Numerical Solutions of Partial Differential Equations I
Applied Statistical Learning Newtonian Fluid Mechanics Mathematical Finance I
Physical Turbulent Flows Time Series Analysis and Forecasting Linear Statistical Models
Advanced Topics in Graph Theory Commutative Algebra I Advanced Topology I
Algebraic Topology Mathematical Analysis General Relativity
Probability Models and Application Numerical Optimization Introductory Cryptography
Fuzzy Set Theory Finite Fields Fuzzy Logic and its Applications
Fuzzy Probability and Statistics Parallel Solutions of Partial Differential Equations Geometric Function Theory
MHD and Porous Media Advanced Modern Algebra with Applications Theory of Groups
Representation Theory of Finite Groups Classical Theory of Fields Simple Linear Regression Model
Momentum and Thermal Boundary Layer Theory Stochastic Processes Differential Subordinations and Applications
Convolutions in Geometric function Theory Semigroup Theory Further Algebraic Geometry
Lattice Boltzmann Method Financial Mathematics Mathematical Techniques for Boundary Value Problems
Heat and Mass Transfer Relativistic Theory of Black Holes Theory of Abel Grassmann’s Groupoids
Symmetry Methods in Differential Equations General Linear Model Rings and Modules
Continuum Mechanics Numerical Simulation of Reactive Flows BCI Algebra
Direct and Inverse Problems in Wave Propagation Topics in Mathematical Statistics Commutative Algebra and Algebraic Geometry
Rough Set Theory and Its Applications Hilbert Space Methods Fuzzy Graphs and Hypergraphs
Topics in Numerical Analysis I Topics in Measure Theory Lie Groups
Fractional Calculus Advanced Partial Differential Equations Elastodynamics
Fluid and Thermodynamics Magneto Hydrodynamics Group Theoretical Methods
Fractional Differential Equations Fuzzy Group Theory Multivariate Analysis in Mathematics
Advanced Algebra Advanced Topology II Non-Newtonian Fluid Mechanics
Advanced Mathematical Analysis Advanced Linear Algebra Advanced Integral Equations
Advanced Graph Theory Advanced Analytic Dynamics Advanced Convex Analysis
Theory of Differential Equations BCK Algebra Theory Advanced Numerical Analysis
Theory of Spline Functions Research Methodology Viscous Fluid II
Representation Theory Advanced Measure Theory Advanced Functional Analysis
Complex Analysis of Several Variables Spectral Methods in Fluid Dynamics Mathematical Finance II
Fuzzy Analysis Spectral and Fractional Graph Theory Advanced Topics in Graph Valuation Theory
Complexity Theory Turbulence Modeling Computer Aided Geometric Design
Advanced Differential Equations Commutative Algebra II Perturbation Methods II
Boundary Layer Flows Homological Algebra Field Extension and Galois Theory
Numerical Solutions of Partial Differential Equations II General Relativity Multiple Linear Regression Models
Theory of Abel Grassmann’s Groupoid Topics in Numerical Analysis II Logical Reasoning and Research Methods
Topological Algebras Near Rings-I Advanced Ring Theory