Academics

Department of Mathematics

graduate program

Offered Programs:

Graduate Program
 

The department started Master degree program in 1999. The department has been awarding degree in M.Sc Mathematics, with one of the following specializations, up to 2003.

  1. Pure Mathematics
  2. Applied Mathematics
  3. Computational Mathematics

To make our Master degree program compatible with other  engineering disciplines, degree in M.Sc Mathematics was converted to M.Sc Applied Mathematics in 2004. The scheme for the degree of M.Sc Computational Mathematics is also approved. 

GRADUATE FACULTY & RESEARCH INTERESTS
Dr. Muhammad Ozair Ahmad Professor & Chairman Numerical Methods, Numerical Solutions of Partial Differential Equations, Symbolic Computation.
Dr. Muhammad Iqbal BhattiAssociate Professor Functional Analysis
Mr. Muhammad Naeem GulAssistant Professor Numerical Analysis, Numerical Solutions of ODE’s, Computer Graphics, Mathematical Model Operational Research.
Mr. Muhammad ShafiqAssistant Professor Numerical Analysis
Mr. Muhammad NaeemAssistant Professor Functional Analysis
Mr. Muhammad MushtaqAssistant Professor Fluid Mechanics
Mr. Nazir Ahmad ChAssistant Professor Operational Research
Mr. Anjum PervaizLecturer Numerical Analysis
OUTLINE OF COURSE FOR M.Sc. IN APPLIED MATHEMATICS

Course No.

Title

Credit Hours

Marks

FIRST TERM

MA – 1001 Real Analysis-I 4 100
MA – 1002 Algebra and Topology 4 100
MA – 1003 Complex Analysis 4 100
MA – 1004 Vectors and Tensor Analysis 4 100
MA – 1005 Differential Equations 4 100
TOTAL 20 500
SECOND TERM
MA – 2001 Real Analysis-II 4 100
MA – 2002 Linear Algebra 4 100
MA – 2003 Methods of Mathematical Physics 4 100
MA – 2004 Classical Mechanics 4 100
MA – 2005 Computer Programming 4(Th) + 2(Pr) 60 + 40
TOTAL 22 500
THIRD TERM
MA – 3001 Fluid Mechanics-I 4 100
MA – 3002 Partial Differential Equations 4 100
MA – 3003 Numerical Methods 4 100
OPTIONAL COURSES (The student will have choice of two courses out of the following
MA – 3004 Mathematical Statistics 4 100
MA – 3005 Theory of Relativity 4 100
MA – 3006 Analytical Dynamics 4 100
MA – 3007 Differential Geometry 4 100
MA – 3008 Discrete Mathematics 4 100
TOTAL 20 500
FOURTH TERM
MA – 4001 Fluid Mechanics-II 4 100
MA – 4002 Quantum Mechanics 4 100
MA – 4003 Electromagnetic Theory 4 100
OPTIONAL COURSES   (The student will have choice of one or two courses out of the following epending on whether he/she is taking the project or not)
MA – 4004 Theory of Elasticity 4 100
MA – 4005 Integral Equations & Variational Calculus 4 100
MA – 4006 Operational Research 4 100
MA – 4007 Theory of Automata 4 100
MA – 4008 Functional Analysis 4 100
TOTAL 20 500
FOURTH TERM
MA – 4000 Project 4 100

POSTGRADUATE PROGRAM

The department first time offered admission in M.Phil Mathematics in 1988. To make the degree compatible with the engineering disciplines the name of the degree was changed to M.Phil Applied Mathematics in 2004. There are about 60 students who have been awarded M.Phil Degree during the last twenty years. The research work of 10 more M.Phil students is almost complete. The department is also running Ph.D degree program since 1997. One scholar of the department has been awarded Ph.D degree in 2006. At present there are 7 Ph.D scholars registered in the department.
The M.Phil Applied Mathematics program is a full-time two year course on term basis.  During first two terms the students study eight theory courses and the 3rd and 4th terms are meant for research work.  The program for part-time students extends over a period of three years.

POST GRADUATE FACULTY & RESEARCH INTERESTS

 
Dr. Muhammad Ozair AhmadProfessor & Chairman Numerical Methods, Numerical Solutions of Partial Differential Equations, Symbolic Computation.
Dr. Muhammad Iqbal BhattiAssociate Professor Functional Analysis , Ordered Linear Spaces, Almost Linear Spaces, Almost Periodic Functions.
Mr. Muhammad Naeem GulAssistant Professor Numerical Analysis, Numerical Solutions of ODE’s, Computer Graphics, Mathematical Model Operational Research.
Mr. Muhammad ShafiqAssistant Professor Numerical Analysis
Mr. Muhammad MushtaqAssistant Professor Fluid Mechanics
 
OUTLINE OF COURSE FOR M.PHIL. IN APPLIED MATHEMATICS
 
Course No. Title Credit Hours Marks
FIRST TERM
MA – 101 Viscous Fluid Flow 3 100
MA – 102 Integral Transforms 3 100
MA – 103 Advanced Numerical Analysis 3 100
MA – 104 Applied Linear Algebra 3 100
TOTAL 12 400
SECOND TERM
MA – 201 Compressible Fluid Flow 3 100
MA – 202 Numerical solutions of PDE’s 3 100
OPTIONAL COURSES  (The student will have choice of two courses out of the following:)
MA – 203 Magnetohydrodynamics 3 100
MA – 204 Electrohydrodynamics 3 100
MA – 205 Perturbation Methods in Fluid Mechanics 3 100
MA – 206 General Theory of Relativity 3 100
MA – 207 Analytical dynamics 3 100
MA – 208 Mathematical Statistics 3 100
MA – 209 Numerical solutions of Integral Equations 3 100
MA – 210 Advanced Operations Research 3 100
MA – 211 Applied Functional Analysis 3 100
MA – 212 Advance Theory of Splines 3 100
TOTAL 12 400
THIRD & FOURTH TERM
RESEARCH THESIS   400