April 2013 Department of Mathematics CIIT Islamabad The Department of Mathematics The Department of Mathematics, COMSATS Institute of Information Technology (CIIT) Islamabad, is one of the leading departments for undergraduate and graduate studies. It was established in 2001 and started the first ever 4-year’s undergraduate degree programme in Mathematics in Pakistan in 2002. The department also provides services other departments of the Institute in undergraduate and graduate levels. The class lectures are delivered by highly qualified local and foreign faculty of the department. The main objective of the department is to pursue excellence in education and research by developing appropriate curricula and teaching practices, acquiring talented faculty and providing an environment conducive to teaching and learning. The department tries to educate its students by providing them exposure to real-life problems, and inculcating in them a problem solving approach. They are encouraged to explore and solve problems, to break new grounds and to cultivate leadership qualities. The department aims to establish and promote CIIT as a leading institution in mathematical sciences both within Pakistan and internationally. The department has been hosting several national and international workshops, seminars, symposia and training. There is a steady interaction among the researchers from the Department of Mathematics and other disciplines in promoting interdisciplinary research. The services of the faculty have been recognized at the national level, with a number of senior faculty members being conferred upon civil awards in the recent years. Why study Mathematics Mathematics is used throughout the world as an essential tool in many fields, including natural science, engineering, medicine, and the social sciences. It is therefore termed rightly as a mother of all sciences. It plays a major role in the progress of society and without it; science and technology cannot address the complex issues facing the modern world. The gap between developed and developing countries in mathematics is widening which is a most serious obstacle in the technological development of these countries. In Pakistan, there is a real crisis in the supply of trained manpower in mathematics although there is a huge pool of talented young people. Bold, corrective and innovative steps need to be taken to redress the existing gap in mathematical knowledge for insuring its development in other connected science and technologies as well. Benefits of Studying Mathematics at CIIT Islamabad The department of mathematics, CIIT Islamabad, is a thriving, friendly department of around 40 PhD faculty members. We offer BS, MS and PhD degrees programmes which allow choices from a wide spectrum of pure and applied mathematics. All benefits which one can achieve are listed below: Breadth of knowledge: Our degrees are constructed to reflect the central role of mathematics in society, ranging from the most pure science to the most applied uses in industry and banking. Internationally recognized teaching and research: Our internationally recognized research feeds directly into our teaching, meaning you will learn from those at the cuttingedge of their disciplines and will benefit from developments in your field as they occur. Excellent support: Our small class sizes lead to an excellent staff-student relationship, allowing us to provide you with strong levels of student support. Much of your time will be spent working with individual members of staff or in small groups, enabling you to get the most from your studies. Flexible learning methods: We offer a wide variety of learning and assessment methods, meaning you can make choices about how you learn and how you are assessed. Enhancement of professional skills: As a CIIT graduate you will leave the institute having acquired much more than a simple technical proficiency in your subject. You will have been exposed to the elegance of mathematics as an intellectual discipline and to its enormous power as a tool for solving scientific problems, and encouraged from a very early stage to take pride in the presentation of your work. Your course will help you to produce logical arguments and express yourself precisely, and to actively enjoy solving problems. These are qualities which will make you attractive to potential employers. Wide ranging career opportunities: Our graduates go on to rewarding careers in areas as diverse as finance; industry; mathematical and scientific research; teaching; IT and management. Research Research is a vital part of our department’s life. We think you will enjoy studying in a climate where everyone, staff and students alike, is involved in doing mathematics. Our research record is very strong indeed. We have active research groups in pure and applied mathematics. The Faculty is involved in various international research collaborations with partners throughout the world. To further strengthen our research collaborations, it is proposed to setup an international centre for mathematics (ICM) at CIIT Islamabad Pakistan with main purpose to develop a world-class research and training facility in mathematics. It will attract internationally reputed mathematicians/scientists to strengthen the application of mathematics in sciences and other practical fields. The centre will also facilitate scientists for the development of mathematical research in developing countries. A Guide to our Degree Programs BS Mathematics BS Mathematics is a four years/8 semesters/133 credit hours degree. Students will be required to carry out course work comprising of subjects from mathematics, computer science, social sciences humanities, environmental sciences, and physics. MS Mathematics The duration of studies for the MS Degree is two years. The MS in mathematics program consists of 24 credit hours (courses with three credit hours each) and 6 credit hours of thesis. The course has been designed for students who want to continue their study in different fields of pure and applied mathematics. The program emphasizes the acquisition of wide and in-depth content knowledge in mathematics as well as its linkage to mathematics teaching. So far, 116 students have successfully completed their master degrees from the department. PhD in Mathematics The Department of Mathematics CIIT Islamabad is famous for its highly qualified faculty members and research output. The department is considered to be a world-class doctoral research institute in mathematics in Pakistan. Our goal is to provide a pool of highly trained indigenous scientists to universities of Pakistan that would be an asset to its future economic and technological development. So far, 32 PhD scholars have completed their PhD degrees. Awards and Achievements Members of the Department have widely published their research work in numerous international research journals, conference papers and books. They are also the recipients of a number of different grants and awards. Visits of Foreign Professors Highly eminent scientists have been regularly visiting the department for short visits to collaborate in research with the local faculty. Some of these are; Prof. Dr. C. Ozel (Turkey), Prof. Dr. C. Lubbert (Germany), Prof. M. Diener, Prof. F. Diener (France), and Prof. Dr. L. Kocinac (Serbia). Faculty Profiles The following profiles of the faculty provide information about their research interests, contact information, publications, awards, professional associations, and research projects. Prof. Dr. Moiz ud Din Khan (Professor) Head of the Department Qualification: PhD, B.Z. University, Multan, Pakistan Research interests: Topology, Topological Groups, Analysis Email: moiz@comsats.edu.pk Prof. Dr. Saleem Asghar (Eminent Professor) Qualification: PhD, Quaid-e-Azam University, Islamabad Tamgha-i-Imtiaz and Sitara-i-Imtiaz, Distinguished National Professor of HEC Research Interests: Fluid mechanics E-mail: sasghar@comsats.edu.pk Prof. Dr. Muhammad Aslam Noor (Professor) Qualification: PhD, Brunel University, London, UK President’s Award for Pride of Performance, Top Mathematician of the Muslim World by OIC Research Interests: Applied Mathematics, Numerical Analysis, Applied function analysis, Non-convex analysis, Variational Inequalities Email: aslamnoor@comsats.edu.pk Prof. Dr. Khalida Inayat Noor (Professor) Qualification: PhD, University of Wales, UK President’s Award for Pride of Performance, CIMI Medal for Innovation Research interests: Complex Analysis (Geometric Function Theory), Applied Functional Analysis Email: khalidainayat@comsats.edu.pk Prof. Dr. Aftab Khan (Professor) Qualification: PhD, Quaid-e-Azam University, Islamabad Research Interests: Wave Propagation & MHD Prof. Dr. Tahira Haroon (Professor) Qualification: PhD, Quaid-e-Azam University, Islamabad Research Interests: Fluid Mechanics(Newtonian & Non-Newtonian) E-mail: tahiraharoon@comsats.edu.pk Prof. Dr. Akbar Azam (Professor) Qualification: PhD, Quaid-e-Azam University, Islamabad Research interests: Functional Analysis Email: akbar_azam@comsats.edu.pk Dr. Noor Muhammad Larik (Advisor) Qualification: PhD, University of Southampton, England, UK Research interests: Econometrics/Statistics Email: nmlarik@comsats.edu.pk Dr. Akhtar Hussain (Advisor) Qualification: PhD, Quaid-e-Azam University, Islamabad Research interests: Fluid Mechanics, Acoustic Waves Email: dr_akhtar@comsats.edu.pk Dr. habil. Shamsul Qamar (Associate Professor) Qualification: PhD and Habilitation degrees from Otto-von-Guericke University Magdeburg, Germany Research interests: Computational Fluid Dynamics and Process Engineering Email: shamsul.qamar@comsats.edu.pk Web: http://www-ian.math.uni-magdeburg.de/home/Qamar/index.htm http://ww2.ciit-isb.edu.pk/faculty/FacultyDetails.aspx?Uid=471 Dr. Abdullah Shah (Associate Professor) Qualification: PhD, Chinese Academy of Sciences, Beijing Research interests: Mathematical modeling and simulation, scientific computing and computational fluid dynamics (CFD). Email: abdullah_shah@comsats.edu.pk Dr. Mehmood ul Hassan (Assistant Professor) Qualification: PhD, Brunel University, UK Post Doc: Auckland University, New Zealand Research interests: Classical wave propagation and diffraction theory applied to acoustics, water waves, and electromagnetism Email: dr_hassan @comsats.edu.pk Dr. Muhammad Mushtaq(Assistant Professor) Qualification: PhD, COMSATS Institute of Information Technology, Islamabad, Pakistan Research interests: Computational Fluid Dynamics Email: muhammad_mushtaq@comsats.edu.pk Dr. Sobia Sultana (Assistant Professor) Qualification: PhD, Abdus Salam School of Mathematical Sciences, GCU, Lahore, Pakistan Research interests: Algebra, Field theory & Galois Theory Email: sobia.sultana@comsats.edu.pk Dr. Shamsul Islam (Assistant Professor) Qualification: PhD, Harbin Institute of Technology Shenzhen Graduate School, China Research interests: Numerical Computations and Computational Fluid Dynamics Email: islam_shams @comsats.edu.pk Dr. Tanvir Akbar Kiani (Assistant Professor) Qualification: PhD, Université de Strasbourg(UDS), France Research interests: Computational Fluid Dynamics, Numerical Flow Modeling and their Instabilities Email: tanvir.akbar @comsats.edu.pk Dr. Masood Anwar (Assistant Professor) Post Doctorate: University of Windsor, CANADA. Qualification: PhD, National College of Business Administration & Economics, Lahore Research interests: Probability Theory and Mathematical Statistics Email: masoodanwar@comsats.edu.pk Dr. Tazeen Athar (Assistant Professor) Qualification: PhD, University of Saarland, Saarbruecken, Germany Research interests: Functional Analysis, Operator Theory Email: tazeen@comsats.edu.pk Dr. Muhammad Saeed Akram (Assistant Professor) Qualification: PhD, Abdus Salam School of Mathematical Sciences, GC University Lahore Research interests: Algebraic System Theory, Differential Equations Email: mrsaeedakram @comsats.edu.pk Dr. Qazi Muhammad Zaigham Zia (Assistant Professor) Qualification: PhD, Georg-August University Goettingen, Germany Research interests: Inverse problem in Fluid dynamics Email: zaighum_zia @comsats.edu.pk Dr. Muhammad Qasim (Assistant Professor) Qualification: PhD, Quaid-e-Azam University, Islamabad Research interests: Fluid Mechanics Email: mqasim @comsats.edu.pk Dr. Umber Sheikh (Assistant Professor) Qualification: PhD, University of Punjab, Lahore, Pakistan Research interests: General Relativity Email: umbersheikh@comsats.edu.pk Dr. Saleem Ahmad (Assistant Professor) Qualification: PhD, State University of New York (SUNY), USA Research interests: Applied Mathematics and range from analysis of differential equations to mathematical modeling of the physical systems in the areas of fluid mechanics and mathematical control theory. Email: sahmed @comsats.edu.pk Dr. Babar Ahmad (Assistant Professor) Qualification: PhD, Abdus Salam School of Mathematical Sciences, GC University Lahore Research interests: Mathematical Control Theory (a part of Mechanics/Dynamics). Email: dr.babar@comsats.edu.pk Dr. M. Imran Qureshi (Assistant Professor) Qualification: PhD, University of Oxford, UK Research interests: Algebraic geometry and its connections with other areas of science Email: imran_qureshi @comsats.edu.pk Dr. Imran Rashid (Assistant Professor) Qualification: PhD, Czech Republic Research interests: Algebra Email: imranrashid@comsats.edu.pk Dr. M. Fazeel Anwar (Assistant Professor) Qualification: PhD, University of York, UK Research interests: Representation theory of algebraic groups and homological algebra. Email: fazeel_anwar @comsats.edu.pk Dr. Sohail Iqbal (Assistant Professor) Qualification: PhD, University of Warwick, UK Research interests: Algebraic Geometry, group Graphs Email: sohail_iqbal @comsats.edu.pk Dr. Tahira Jamil (Assistant Professor) Qualification: PhD, Wageningen University, Netherlands Research interests: Multivariate Statistics, Statistical Modelling, Baysian Statistics Email: tahirajamil@comsats.edu.pk Dr. Manshoor Ahmad (Assistant Professor) Qualification: PhD, COMSATS Institute of Information Technology, Islamabad Research interests: Fluid Mechanics, computational fluid dynamics (CFD). Email: manshoor@comsats.edu.pk Dr. Shahida Nargis (Assistant Professor) Qualification: PhD, Quaid-e-Azam University, Islamabad, Pakistan Research interests: Applied Mathematics, MHD Email: shahidanargis @comsats.edu.pk Dr. Bushra Malik (Assistant Professor) Qualification: PhD, COMSATS Institute of Information Technology, Islamabad, Pakistan Research interests: Geometric Function Theory of Complex Variables Email: bushramalik @comsats.edu.pk Dr. Sardar Mohib Ali Khan (Assistant Professor) Qualification: PhD, Abdus Salam School of Mathematical Sciences, GC University Lahore Research interests: Algebra, Number Theory, p-adic Analysis Email: ali.uno@gmail.com Dr. Salman Amin Malik (Assistant Professor) Qualification: PhD, University of La Rochelle, France. Research interests: Linear and Nonlinear Partial Differential Equations, Inverse Source Problems and Digital Image Processing. Email: salman_amin@comsats.edu.pk Dr. Muhammad Yousaf (Assistant Professor) Qualification: PhD, COMSATS Institute of Information Technology, Islamabad Research interests: Applied Mathematics: Computational Fluid Dynamics (CFD), Fluid Mechanics Email: myousaf@comsats.edu.pk Dr. Muhammad Usman (Assistant Professor) Qualification: PhD, Imperial College of London, UK Research interests: Spectral Theory and Quantum Graphs Email: muhammadusman@comsats.edu.pk