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)
| 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 |