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| Department of Mathematics Home
| Faculty | Courses
| Activities | Contact |
Faculty
| Dr. Nasiruddin Khan | Professor |
| Dr. Rana Khalid Naeem | Professor |
| Dr. Syed Arif Kamal | Professor |
| Dr. Sarwar Jehan Abbasi (CH) | Professor |
| Dr. S. Anwar Ali Zaidi | Professor |
| Ms. Rehana Shakeel | Assistant Professor. |
| Ms. Naveeda Qamar | Assistant Professor. |
| Ms. Akhtar Jehan | Assistant Professor. |
| Mr. Mushtaq Ahemd | Assistant Professor. |
| Dr. M. Javed Iqbal | Assistant Professor. |
| Mr. Javed Ansari | Assistant Professor. |
| Mr. Waseem Ahmed Khan | Assistant Professor. |
| Ms. Syeda Sadia Zia | Assistant Professor. |
| Mr. Waseem Ahmed Ansari | Lecturer |
| Mr. Khurram Kamran | Lecturer |
| Ms. Saba Naz | Lecturer |
| Mr. Tanveer Ahmed Sidddqui | Lecturer |
| Mr. Muhammad Imtiaz | Lecturer |
| Mr. Najeeb Alam Khan | Lecturer |
| Mr. Asif Raza Khan | Lecturer |
| Mr. Syed Inayatullah | Lecturer |
Professors:
Prof. Dr. Nasiruddin Khan
Ph. D. in Operations Research (Electrodynamics of the Brain)
# of Ph.D. Students
registered 3 (three)
# of M.Phil Students
registered 10 (Ten)
# of Thesis Ph.D. near
to completion (Two)
# of Course work of
6 (six) M.Phil. students completed.
# of 4 (four) thesis
of M.Phil ready for submission.
More than 100 (hundred) research reports and projects in different disciplines
have already been supervised
Areas of working:
Operations Research, Mathematical Modeling in Industries, Physical/Social
Sciences, Mathematical Biology etc.
Simulation and Modeling in Control Theory in Linear And non-Linear Dynamics.
ACADEMIC QUALIFICATION
B.Sc. (HONS.) APPLIED MATHEMATICS, UNIVERSITY OF KARACHI, PAKISTAN-1972.
M.Sc. APPLIED MATHEMATICS, UNIVERSITY OF KARACHI, KARACHI, PAKISTAN-
1973. WITH MATHEMATICAL STATISTICS
INTERNATIONAL POSTGRADUATE DIPLOMA IN THEORY OF INFORMATION, BUCHAREST UNIVERSITY, BUCHARES ROMANIA, 1981.
Ph.D. (ELECTRODYNAMICS OF BRAIN), UNIVERSITY OF KARACHI, KARACHI, 1996. APPLIED MATHEMATICS. THESIS EXAMINED BY PROF. TERESA REE CHAY PITTSBURGH UNIVERSITY, U.S.A.
SAP (SYSTEM APPLICATION PROGRAM) OVERVIEW FROM SIEMENS (SAP ACADEMY PAKISTAN) 2000. CERTIFICATION
FROM MALAYSIA.
A W A R D S
GOLD MEDAL AWARDED BY THE PAKISTAN INTELLECTUAL FORUM (1993).
PROFESSIONAL ACTIVITIES
· Junior Associate, International Centre of theoretical Physics, Trieste, Italy.
· College on Mathematical Ecology, International Centre for theoretical Physics, Trieste, Italy, October 1982.
· Third Regional Conference on Mathematical Physics, Superstrings and Relativity, Quaid-e-Azam University, Islamabad, Pakistan. 1988
· Workshop on Application of Mathematics to Operations Research & Optimization, Islamia University, Bahawalpur, Pakistan, December, 1989.
· Regional Conference on Higher Education Management System, University Grants Commission, Islamabad, 1993.
· Workshop on Quantitative Biophysics at the Molecular and Micro Molecular scales, Adriatico Research Conference (June 29 - July 01, 1995) ICTP Trieste (ITALY).
· Resource Person in National Workshop for Ph.D. students in Mathematics on Mathematical Modeling at Govt. College Lahore (June 24, 2002 to June 30, 2002).
As a Subject Specialist in:
-
Federal Public Service Commission
-
Karachi University
-
Sindh University
-
Usman Institute of Technology (Hamdard University)
-
Karakuram International University (Gilgit)
-
Jammu Azad Kashmir University
E-mail: naskhan@uok.edu.pk
E-mail: ateeb@hotmail.com
Prof. Dr. Rana Khalid Naeem (Chairman)
Ph. D. (Fluid Dynamics)
Subject dealing with: Fluid Dynamics
-
# of Ph. D. completed under him: 2
-
# of Ph. D. working under him: 1
-
# of M. Phil completed under him: 16
-
# of M.Phil working under him: 17
Areas of working:
Computational Fluid Dynamics :
Computation of transonic flows, past bodies (direct & indirect method)
Fluid Dynamics :
Newtonian & Non Newtonian fluid flows equations with applicability to phsical possible situations (boundry value problems).
Magneto Fluid Dynamics :
To study the effect of Magnetic field on the fluid motions of fluid with variable properties.
Numerical Analysis :
Development of numerical methods & solving second order differential equations with constant coefficients and partial differential equations in two variables with variable coefficients.
Professor Dr. Syed Arif Kamal (Web)
Professor Dr. Syed Arif Kamal, Professor (BPS-21), Department of Mathematics, University of Karachi, obtained his BSc (Honors), MSc and PhD from University of Karachi, MS from Indiana University, Bloomington, USA and MA from the Johns Hopkins University, Baltimore, USA as Quaid-é-Azam Scholar.
His awards and honors include throughout First-Class-First Position and 4 gold medals for scholastic achievements. He is a member of American Institute of Aeronautics and Astronautics (AIAA), International Brain Research Organization (IBRO), the Karachi University Senate, Academic Council and Boards of Faculty. As part of Expert Panel on Curriculum of Mathematics, Ministry of Education, Government of Pakistan, he reviewed mathematics syllabi and textbooks for Classes I-XII. He acts as Subject Expert (Mathematics) on the Selection/Interview Boards of University of Balochistan, Pakistan Space and Upper Atmosphere Research Commission (SUPARCO) and Federal Public Service Commission. He is, also, a referee of Clinical Biomechanics (Elsavier), Proceedings of the Pakistan Academy of Sciences and Journal of Scientific and Industrial Research.
His research, teaching and administrative experiences in institutions of higher learning and R&D organizations span over 27 years. He had an opportunity to lead teams in 5 different capacities, Chairman, Department of Mathematics (2003-6), Project Director, the NGDS Pilot Project (1998-present), Chairman, Board of Studies for Mathematics (2003-6) and Convener, Program in Industrial and Business Mathematics, University of Karachi (2003-6) as well as Convener, National Curriculum Revision Committee for Mathematics, Higher Education Commission, Government of Pakistan (2004-present), which prepared BS, MS and PhD curricula. In addition, he is contributing in grooming future leaders as Program Coördinator of the Early Talent Research Participation Program, University of Karachi (2002-present). He has 100 papers to his credit (88 as solo/first/corresponding author) in biomathematics, astrodynamics, relativity, physical mathematics and algebra.
His contributions to mathematics include defining determinant of a general tensor, introducing cardiac coördinates to study heart function, developing astrodynamical coördinates to study bounded keplarian motion, formulating Strong Noether’s Theorem to study particle symmetries, extending special theory of relativity (by introducing periodic functions) to include speed ranges c to infinity and devising new control laws (complete mathematical formulation with proof), the extended-cross-product steering, the dot-product steering and the ellipse-orientation steering for spacecrafts and satellites, making mathematical models of brain, heart, spinal column and growth of children. In addition, he has written a critical review of Richard H. Battin’s book, “An Introduction to the Mathematics and the Methods of Astrodynamics”.
He has given 61 colloquia, guest lectures, presentations and seminars at various institutions of higher learning, including Air War College, the Aga Khan University, Higher Education Commission, the Abdus-Salam International Center for Theoretical Physics, Italy and Massachusetts Institute of Technology, USA. In addition, he has conducted 20 trainings and workshops as well as in-service and professional development courses and organized 14 exhibitions, grand seminars, seminar series and conferences. He was chief guest and keynote speaker in the Sindh Educational Conference (2009), panelist (panel discussion) in the 12th IEEE International Multitopic Conference (2008), invited speaker in 3 international conferences and session chair in 3 conferences.
E-mail: kamal at ngds-ku.org or sakamal at uok.edu.pk
Homepage: http://ngds-ku.org/kamal
Project : http://ngds-ku.org
Associate Professors:
Mr. Shuja Muhammad Qureshi
M.Phil
Area of working:
-
Algebra
E-mail: shuja_qurashi@hotmail.com
Dr. Sarwar Jahan Abbasi
Dr. Sarwar Jahan Abbasi completed her Graduation with distinction of First Class Third Position and obtained her Master's degree in applied mathematics with the honor of standing first class first in faculty of arts, University of Karachi. She got her Ph.D. in Algebra from University of Edinburgh, Scotland, UK, under the merit scholarship from the Ministry of Education, Islamabad, Pakistan.
She won the Post-doctrate Fellowship Award of The Abdus-Salam International for theoretical Physics, Trieste, Itlay . She holds not only to be the first but also the only Post-doctorate Fellow in Mathematics at the Centre from Pakistan, so far.
Dr. Abbasi is a pioneer in the field of Matrix Near Rings . An “almost impossible ”structure of Matrix Near Rings was constructed in 1985 by Professor J.D.P.Meldrum, University of Edinburg, UK , and Professor A.P.J. Van Der Walt, University of Stellenbosh, South Africa . Dr. Abbasi joined them and took the work much further. She made very significant contribution to the theory of Near Rings. Her work opened up new lines of inquiry in the field.
Prof. Gunter pilz of University of Linz, Austria, Prof. Winfield Mueller, University of Klagenfurt, Austria and Department of Mathematics, University of St. Andrews, UK , invited her to deliver lectures on Matrix Near Rings. UNESCO awarded her ROSTSCA YOUNG SCIENTISTS AWARD 1990 , in recognition of the outstanding contribution in the field of Mathematics.
ABI (American Biographical Institute, Inc.) North Carolina USA published her biography in the Seventh Edition of The INTERNATIONAL DIRECTORY OF DISTINGUISHED LEADERSHIP released in 1997.
Dr. Abbasi represented Pakistan in many conferences in Scotland, Britain, Australia, Italy, Canada and Russia, and attended Advance Courses on Mathematical Biology (Canada). PDE (France) and Algebraic Geometry (Itlay).
Area of Working:
-
Abstract Algebra
-
Linear Algebra
Dr. Syed Anwer Ali Zaidi
Dr. Syed Anwer Ali Zaidi received his M.Phil degree in 1990 from University of Karachi, and recently he has awarded Ph.D. degree in the field of Fluid Dynamics (Navier Stoke Equations) from University of Karachi.
Areas of Working:
-
Numerical Analysis
-
Fluid Dynamics
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Projective Geometry
E-mail: anwerzaidi1958@yahoo.com
Asistant Professors:
Mr. Muhammad Shahid Qureshi
M.Phil
Areas of working:
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Quantum Mechanics
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Astronomy
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Numerical analysis
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Fractal Geometry
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Fuzzy Sets
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Graph Theory
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Algebraic Analysis,
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Measure Theory,
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Functional Analysis
Ms. Rehana Shakeel
M.Phil
Area of working:
-
Mathematical Statistics
Dr. Muhammad Javed Iqbal
Dr Iqbal, Assistant Professor, has been working as a faculty member of Department of Mathematics, University of Karachi since 1993. He is also serving the Institute of Space and Planetary Astrophysics (ISPA) as visiting faculty.
He was awarded Ph.D. degree in 2006. Recently, he has completed 1-year Post Doctoral Study at School of Marine and Atmospheric Sciences, Stony Brook University, NY, USA. His main area of research is statistical modelling of climate variability. His recent work has focused on the study of the large-scale semi-permanent high and low pressure systems known as the Atmospheric Centers of Action (COA). He has shown the impact of COA variables on rainfall variability over Europe, Australia and Asia.
Moreover, he also takes interest in relativistic orbital theory. His research article published in Indian Journal of Physics suggests that the inclusion of solar spin in the planetary orbits should give rise to a slight residual perturbation on constant areal velocity, computed by the standard model of orbital theory. In particular, the second law of planetary motion might require revision. Also, it turns out that the classical result of Kepler is recoverable from our result as a special case.
Dr. Iqbal has already published fifteen research articles in International/National journals. He has already supervised six M. Phil. Theses. Currently, two Ph.D. students are working under his supervision. He is a Lifetime member of American Geophysical Union, USA. He has taught various courses of Mathematical Physics, Differential Geometry, Differential Equations, Numerical Analysis, Operation Research, Gravitation Physics, Atmospheric Sciences and Financial Mathematics.
Research Papers Presented in Conferences:
- AGU Fall Meeting 2008, USA
- AMAS Conference, Beijing, China, 2005
- National Australian Convention of Amateur Astronomers, Australia, 2004
- World Climate Change Conference, Moscow, Russian Federation, 2003
- Second ICTP Conference on Detection and Modelling of Regional Climate Change, the Abdus Salam ICTP, Trieste, Italy, 2002
Selected Published Papers:
- Iqbal M J and Quamar J (2008), “Modelling the Impact Indian Ocean on Pakistan Summer Rainfall”, International Journal of Statistical Sciences, Vol. 8
- Iqbal M J (2003), “Application of Artificial Neural Networks in Climatic Zonation of Pakistan”, Asia Pacific Journal on Environment and Development, Vol. 10, No. 2
- Iqbal M J and Quamar J (2003),”‘Planetary Orbits around a Spinning Gravitating Star”, Indian Journal of Physics, Vol. 77B, No. 4
Ms. Naveda Qamar
M.Phil
Areas of working:
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Analysis
-
Differential Equations
Ms. Rashida Fahim
M.Phil.
Area of working:
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Classical Mechanics
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Electromagnetic Theory
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Differential Equations
Mr. Syed Izhar Hussain
M.S.
Areas of working:
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Measure Theory
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Functional Analysis
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Mathematical Analysis
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Topology
Mr. Mushtaq Ahmad
M. Phil.
Areas of working:
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Methods of Mathematical Physics
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Integral Equation
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Study of Space Time
Lecturers
Ms. Akhtar Jahan Aziz
M.Sc.
Areas of working:
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Differential Equation
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Mathematical Analysis
Mr. Khuram Kamran
M.Sc.
Areas of working:
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Numerical Computation
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Fluid Dynamics
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Linear Algebra
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Algebra
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Numerical Analysis
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Differential Geometry
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Calculus
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Differential Equation
Cooperative Teachers
Mr. Muhammad Imtiaz
M.Sc.
Area of working:
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Numerical Computation
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Numerical Computation
- Mechanics
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Integral Equations
Mr. Najeeb Alam Khan
M.Sc
Areas of working:
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Applied Numerical Analysis
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Mathematical Statistics
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Differential Equation
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Measure Theory
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Mathematical Analysis