PhD (Mathematics) – University of Comsats Lahore

Course overview:

The Department of Mathematics at COMSATS Institute of Information Technology has high objectives in uplifting the standards of mathematical education at the campus. The department offers a unique PhD Mathematics programme that motivates people for research productivity in the country.

Research Areas:-

• Algebra
  
• Functional Analysis
  
• Graph Theory
  
• Differential Equations
  
• Dynamical Systems
  
• Fluid Mechanics
  
• Algebraic Geometry
  
• Numerical Analysis
  

Computing Facilities:-

• Mathematica
  
• MatLab
  
• Maple
  
• Scientific Work Place
  
• SAS
  
• R Language
  

No. of semesters: 2 semester

Requirements: N/A

Course duration: N/A

How to apply:

• N\A
  

Curriculum:

Course Title                            Credit Hours       

Hilbert Space Methods                    3(3, 0)       

Optimization Theory                        3(3, 0)       

Perturbation Methods I                    3(3, 0)       

Fixed Point Theory and Applications                3(3, 0)       

Numerical Solution of ODEs                    3(3, 0)       

Advanced Numerical Analysis                    3(3, 0)       

Numerical Linear Algebra                    3(3, 0)       

Approximation Theory and Applications            3(3, 0)       

Advanced Partial Differential Equations            3(3, 0)       

Variational Inequalities & Applications            3(3, 0)       

Integral Inequalities                        3(3, 0)       

Numerical Solutions of PDEs I                    3(3, 0)       

Advanced Mathematical Statistics                3(3, 0)       

Time Series Analysis and Forecasting                3(3, 0)       

Linear Statistical Models                    3(3, 0)       

Advanced Topics in Graph Theory                3(3, 0)       

Commutative Algebra                        3(3, 0)       

Advanced Topology I                        3(3, 0)       

Algebraic Topology                        3(3, 0)       

Mathematical Analysis                    3(3, 0)       

General Relativity                        3(3, 0)       

Probability Models and Application                3(3, 0)       

Numerical Optimization                    3(3, 0)       

Topology                            3(3, 0)       

Geometric Function Theory                    3(3, 0)       

Advanced Convex Analysis                    3(3, 0)       

Advanced Modern Algebra with Applications        3(3, 0)       

Theory of Groups                        3(3, 0)       

Representation Theory of Finite Groups            3(3, 0)       

Field Extensions and Galois Theory                3(3, 0)       

Advanced Topology II                        3(3, 0)       

Differential Subordinations and Applications            3(3, 0)       

Convolutions in Geometric Function Theory            3(3, 0)       

Semigroup Theory                        3(3, 0)       

Further Algebraic Geometry                    3(3, 0)       

Lattice Boltzmann Transport Method                3(3, 0)       

Homological Algebra                        3(3, 0)   

Relativistic Theory of Black Holes                3(3, 0)       

Classical Theory of Fields                    3(3, 0)       

Theory of Abel Grassmann’s Groupoids            3(3, 0)       

Symmetry Methods in Differential Equations        3(3, 0)       

General Linear Model                        3(3, 0)       

Multivariate Analysis in Mathematics            3(3, 0)       

Continuum Mechanics                    3(3, 0)       

Numerical Simulation of Reactive Flows            3(3, 0)       

Direct and Inverse Problems in Wave Propagation        3(3, 0)       

Commutative Algebra and Algebraic Geometry        3(3, 0)       

Rough Set Theory and Its Applications            3(3, 0)       

Viscous Fluids I                        3(3, 0)       

Viscous Fluids II                        3(3, 0)       

Perturbation Methods II                    3(3, 0)       

Numerical Solutions of PDEs II                3(3, 0)       

Heat Transfer                            3(3, 0)       

Elastodynamics                        3(3, 0)       

Fluid and Thermodynamics                    3(3, 0)       

Magnetohydrodynamics                    3(3, 0)       

Group Theoretic Methods                    3(3, 0)       

Advanced Analytical Dynamics                3(3, 0)       

Momentum and Thermal Boundary Layer Theory        3(3, 0)       

MHD and Porous Media                    3(3, 0)       

Physical Turbulent Flows                    3(3, 0)       

Numerical Methods for Variational Inequalities        3(3, 0)       

Non-Newtonian Fluid Mechanics                3(3, 0)       

Spectral Methods in Fluid Dynamics                3(3, 0)       

Topics in Applied Mathematics                3(3, 0)       

Topics in Pure Mathematics                    3(3, 0)       

Topics in Numerical Mathematics                3(3, 0)       

Simple Linear Regression Model                3(3, 0)       

Multiple Linear Regression Model                3(3, 0)       

Topics in Mathematical Statistics                3(3, 0)       

Topics in Applied Commutative Algebra            3(3, 0)       

Numerical Methods for Incompressible Flows        3(3, 0)       

Topics in Graph Valuations                    3(3, 0)       

Thesis                                9(0, 9)