Department of Mathematical Sciences :
The Department of Mathematical Sciences is a distinguished academic unit within FUUAST, dedicated to excellence in teaching, research, and community engagement. The department provides a dynamic and rigorous education that integrates both pure and applied mathematics, enabling students to explore the depth of the subject in diverse fields such as computational mathematics, fluid dynamics, and mathematical biology.
Our curriculum is designed to cultivate critical thinking, analytical skills, and innovative problem-solving abilities, empowering students to tackle real-world challenges. We offer comprehensive undergraduate and postgraduate programs that prepare students for careers in academia, industry, and government sectors. In addition to fostering a strong foundation in theoretical mathematics, the department emphasizes the application of mathematical principles to fields like data science, engineering, economics, biological sciences, physics, cryptography, computer science, finance, environmental sciences, operations research, machine learning, artificial intelligence, climate modeling, robotics, quantum computing, network theory, medical sciences, and social sciences, through interdisciplinary collaborations. Students are encouraged to engage in research projects that reflect the department’s commitment to addressing complex global problems, from climate modeling to artificial intelligence.
The faculty comprises highly qualified scholars actively contributing to both national and international mathematical research communities. With state-of-the-art facilities, including advanced computational labs, the department ensures that students and researchers alike have access to cutting-edge tools and resources.
The Department of Mathematical Sciences is committed not only to academic excellence but also to societal contributions, hosting workshops, seminars, and public outreach programs aimed at enhancing mathematical literacy and promoting its importance in everyday life. We are proud of our diverse and vibrant student community, supported by a faculty whose expertise spans a wide array of mathematical disciplines. Through this blend of academic rigor, research innovation, and community service, we aim to cultivate the next generation of mathematicians and thinkers who will contribute meaningfully to society’s scientific and technological advancement.
Career Prospects
Graduates of the Department of Mathematical Sciences are well-prepared for a wide range of careers. They are equipped to work in industries like:
- Banking Sector: Students can pursue roles as risk analysts and quantitative analysts, utilizing mathematical models to assess financial risks and opportunities.
- Finance Sector: Graduates can work as financial analysts and actuaries, applying statistical methods to evaluate investments and manage risks.
- Teaching Sector: Opportunities exist as educators in academic institutions, where graduates can inspire the next generation and contribute to research.
- Insurance Sector: Careers in actuarial science and underwriting allow students to apply mathematical skills to assess risk and develop insurance policies.
- IT Sector: Graduates can become data analysts or software developers, leveraging mathematics to create algorithms and analyze large data sets.
- Public Service Commission: Opportunities in statistical analysis enable graduates to inform public policies through data-driven insights.
- Pakistan Bureau of Statistics: Students can work as statistical researchers, collecting and analyzing data to inform government decisions.
- Stock Exchange: Graduates can become financial analysts or traders, using quantitative skills to make informed investment decisions.
- Environmental Planning and Sustainability: Opportunities exist as sustainability analysts, where graduates apply mathematical modeling to develop solutions for environmental challenges.
- Health Sector: Graduates can work as biostatisticians or health data analysts, using statistical methods to improve healthcare outcomes.
Programs Offered
- BS Mathematics (4 Years):
Eligibility: Intermediate (Science/Arts) with Mathematics, at least 45% marks.
This undergraduate program provides a solid foundation in both pure and applied mathematics. Students study core subjects like calculus, algebra, and geometry, with advanced electives such as mathematical modeling, numerical methods, and data analysis. The curriculum prepares graduates for careers in academia, industry, or further studies. - BS (Two Years):
Eligibility:A./B.Sc. (with Mathematics)/B.E./B.C.S or Graduation with a Diploma in Mathematics.
This two-year program caters to students with prior mathematical experience and aims to further enhance their skills, preparing them for specialized roles in mathematics-related fields or continued academic study. - ADP (Associate Degree Program) – 2 Years:
Eligibility: Intermediate (Science/Arts) with Mathematics, at least 45% marks.
The ADP program offers foundational knowledge in both pure and applied mathematical sciences. It’s ideal for students looking to develop essential mathematical skills for academic progression or professional application. - MPhil Mathematics (2 Years):
Eligibility: 16 years of education with a major in Mathematics. Candidates must pass an entry test with at least 50% (organized by the university or NTS GAT-General).
This graduate program emphasizes both theoretical and applied research. Students explore advanced topics like functional analysis, differential equations, and mathematical biology, training to become skilled researchers capable of addressing complex real-world problems. - PhD Mathematics:
Eligibility: MS/MPhil in Mathematics with at least 60% in NTS GAT-Subject or university-conducted entry test.
The PhD program is aimed at those seeking to make original contributions to the field of mathematics. Doctoral candidates collaborate closely with faculty on cutting-edge research, fostering interdisciplinary connections and promoting innovation in mathematical sciences.
Student Development & Opportunities
The department offers students a wealth of opportunities for both academic growth and practical application of their skills:
- Internship Programs: Meezan, Habib NBP, insurance, Pakistan petroleum etc.
Partnerships with bank sector NIBAF, State Bank of Pakistan, and local industries offer students hands-on experience in sectors like finance, insurance, and data analysis. - Student Research Seminars
Regular seminars and workshops encourage students to present their research, engage with experts, and develop communication skills essential for their careers. - Workshops and Training Sessions
The department regularly organizes workshops on software’s LaTeX, Mathematica, and other software crucial for research in mathematics, enabling students to produce high-quality academic papers and technical documents. In addition to software-specific training, the department organizes a variety of workshops aimed at enhancing critical skills in research and industry applications. These sessions include topics such as mathematical modeling, statistical analysis, machine learning, and optimization techniques. Moreover, students participate in interdisciplinary seminars on subjects like financial mathematics, actuarial sciences, cryptography, and mathematical biology. Students also benefit from visits to prestigious institutions like ISPA (Institute of Space and Planetary Astrophysics), gaining exposure to astronomical research. Collaborations facilitated through MoUs with Tajikistan Academy of Science, Baku Engineering University, and GC University Hyderabad ensure a vibrant academic exchange, fostering innovative research and training opportunities.
Collaborations and MoUs
The department has established strong international collaborations through Memorandums of Understanding (MoUs) with several prestigious institutions. The Memorandum of Understanding (MoU) aims to establish collaborative research initiatives between the institutions, facilitating joint projects, knowledge exchange, and innovation in mathematics and astronomy. This partnership will enhance academic cooperation and advance research capabilities in both fields.
Dr. Karman, Chairman Department of Mathematics, GC University Hyderabad, signed Memorandum of Understanding (MoU) on 29th November 2023, emphasizing the importance of these collaborations in promoting interdisciplinary research and educational development
On 26th April 2024, An MoU with Professor Rakib Efendiyev, Chairman of the Department of Mathematics at Baku Engineering University, Azerbaijan. This collaboration aims to enhance academic and research opportunities between the two institutions.
On the same day, an MoU with Professor Firuza Rahmat, Director of the Astronomical Observatories under the Tajikistan Academy of Sciences, further strengthening partnerships in mathematics and astronomy.
Community Engagement and Industry Partnerships
The department actively engages with industry through partnerships and initiatives, facilitating internships, career counseling, and networking opportunities for students. These collaborations ensure that our graduates are well-equipped to meet the demands of various sectors, from banking and finance to technology and government.
Dedicated Faculty:
- Dr. Shaheen Abbas Chairperson
Dr. Shaheen Abbas is an HEC-approved supervisor and an Associate Professor at the Department of Mathematical Sciences, Federal Urdu University of Arts, Science, & Technology (FUUAST), Karachi. With over 19 years of university-level teaching experience, she has an impressive research portfolio, having published 68 research papers and 15 national and international conference proceedings. Dr. Abbas has successfully supervised 4 PhD students and is currently supervising 4 MPhil and 2 PhD students. Her research spans a wide range of areas, including mathematical statistics, probability, data analysis, stochastic modeling, computational mathematics, space sciences, urban informatics, climate change, and artificial neural networks.
In addition to her academic achievements, Dr. Shaheen Abbas has held several key administrative roles, including serving as Co-Director of the Mathematical Sciences Research Centre from 2010 to 2012 and again from 2016 to the present. She was appointed Chairperson of the Department of Mathematical Sciences at FUUAST in October 2023. Dr. Abbas has been instrumental in organizing and coordinating numerous seminars, workshops, and international conferences. She has successfully completed several HEC-funded research projects, including those under the grants 1258/2009-2012, 4039/R&D/HEC/14/697 and 408/NAHE/HEC/2020/167. Dr. Abbas has also published a book and received awards for her outstanding contributions to science education and mentoring. Her efforts in establishing collaborative research partnerships with national and international institutions further highlight her commitment to advancing research in the mathematical sciences.
Email: [email protected]
- Dr. Syed M. Murshid Raza Assistant Professor
Research Interest Astronomy, with a strong academic focus on the field. Two M.Phil. and one PhD students have successfully Completed their degrees under supervisor of Dr. Murshid Raza.. Email: [email protected] - Dr. Amber Nehan
Assistant Professor, specialized in fluid dynamics with a PhD from Malaysia.
Email: [email protected] - Dr. Oragzaib Mangi
Assistant Professor with numerous publications, specializing in fluid dynamics and holding a PhD from Malaysia.
Email: [email protected] - Dr. Kashif Bin Zaheer
Assistant Professor, completed his PhD in financial mathematics from Malaysia, focusing on applied financial models.
Email: [email protected] - Dr. Marium Sultana
Assistant Professor, PhD in Astrophysics, she has supervised numerous MPhil students.
Email: [email protected] - Dr. Hafiz Syed Hussain
Assistant Professor, with a PhD in philosophy, an MPhil in mathematics, and teaching interests in differential geometry and measure theory.
Email: [email protected] - Mr. Farzand Ali
Lecturer, holding an MPhil in Numerical Analysis and extensive teaching experience in mathematics.
Email: [email protected] - Dr. Fareeha Sami Khan
Lecturer with expertise in Mathematical Biology, Numerical Analysis, and Fractional Calculus, and have published numerous research papers.
Email: [email protected] - Ms. Humera Zulfiqar
Lecturer, specialized in time series with an MPhil in the field.
Email:[email protected] - Ms. Uroosa Arshad
Lecturer and PhD scholar, currently working on neural networks.
Email: [email protected]Events:
1. 1st International Conference on the Role of Mathematics and Allied Sciences for Sustainable Development (ICRMASSDBIA-2024)
Date: April 26-27, 2024
Organized by Government College University Hyderabad, in collaboration with the Department of Mathematical Sciences FUUAST, this conference aimed to bridge industry and academia by showcasing how mathematics and allied sciences can contribute to sustainable development. It covered topics like Artificial Intelligence, Fluid Dynamics, Topology, Optimization Techniques, and Mathematical Modeling, attracting prominent researchers and industry professionals from across the globe. Funded by the Sindh Higher Education Commission, the conference featured numerous expert sessions and workshops on using mathematical models for real-world applications. This landmark event provided students and professionals an opportunity to network, share research, and explore mathematical applications in solving key global challenges. It also sparked discussions on innovative solutions for sustainable development through the lens of mathematics.
2. Math Power to Industry Series #2: Awareness Session on Islamic Banking
Date: February 24, 2024
The Laboratory of Applied Mathematics and Data Analysis (LAMDA), MSRC in collaboration with the National Institute of Banking and Finance (NIBF) and GC University Hyderabad, held an awareness session focused on integrating mathematical applications into Islamic banking. The event attracted over 400 students and featured prominent speakers, including Mr. Abdul Azeem Dostani and Mr. Syed Azhar Abbas Zaidi, who discussed the growing relevance of Islamic finance. The session introduced students to the principles of Islamic banking, offering hands-on training and internships for selected participants. The event aimed to prepare students for roles in this rapidly expanding industry by demonstrating how data analysis and mathematical techniques can enhance banking practices. This collaboration provided students with an in-depth understanding of Islamic banking and its principles, as well as career-building opportunities through internships. It also strengthened ties between academia and the financial industry, promoting the role of mathematics in economic growth.
Cosmic Convergence – Bridging Mathematical Frontiers in Space Sciences (November 29, 2023): This seminar-workshop explored the role of mathematics in space science, featuring drone technology and GIS applications.
Sky Watch Evening Series
On March 3, 2023, the Laboratory of Applied Mathematics and Data Analysis Mathematical Sciences Research Centre (MSRC) , Department of Mathematics, GC University Hyderabad, proudly hosted the inaugural Sky Watch Evening Series. This event brought together enthusiastic stargazers from the mathematical Sciences department, FUUAST and other esteemed institutions, creating a vibrant atmosphere of intellectual curiosity and collaboration.
Participants enjoyed a spectacular view of celestial bodies, with expert faculty leading discussions on the significance of astronomical phenomena. Attendees had the unique opportunity to use telescopes, enhancing their observational skills and fostering a deeper appreciation for the universe. The event not only captivated astronomy enthusiasts but also promoted teamwork and networking among students, faculty, and researchers, laying the groundwork for future collaborative endeavors in the field of astronomy.
Two-Day LaTeX Workshop (March 5-7, 2024)
Dr. Fareeha Sami Khan conducted a comprehensive two-day LaTeX workshop, focusing on the application of the software for research article writing, CV preparation, and academic assignments. The workshop attracted participants from various university departments and equipped them with valuable skills in technical document preparation, ensuring that students could produce high-quality academic work.
Seminar on Digital Signal Processing and Fourier Transform
On March 2, 2022, Engineer Ashfaq Ahmed Khan from LIGO Livingston Observatory, USA, delivered an enlightening seminar on Digital Signal Processing and the Fourier Transform. This seminar provided students with real-world applications of these advanced mathematical concepts, including insights into their use in astronomical research and other technical fields, making the session highly relevant for both research and industry.
One-Week LaTeX Workshop (Nov 1-5, 2017)
Dr. Fareeha Sami Khan also led a one-week LaTeX workshop for students of the Department of Mathematical Sciences. The workshop delved deeply into using LaTeX for creating research articles, resumes, and academic assignments. The workshop was widely attended and considered an invaluable learning opportunity, imparting practical skills that are critical for academic success and professional development.
Active Research Labs
The Department of Mathematical Sciences at FUUAST boasts four active research labs, each contributing significantly to advanced research and development in specialized areas:
- The Laboratory of Applied Mathematics and Data Analysis (LAMDA) was established under Project No. 408/IPFP-II (Batch-I)/SRGP/NAHE/HEC/2020/167) at the Mathematical Sciences Research Centre (MSRC), It was initiated by Muhammad Ilyas and Dr. Shaheen Abbas with the support of the Higher Education Commission (HEC) of Pakistan. The primary goal of LAMDA is to promote MPhil and PhD-level teaching and research in applied mathematics (producing four PhD graduates and several MPhil scholars)., fostering collaboration between academia and industry. Initiator of LAMDA Dr. Shaheen Abbas and Dr. Muhammad Ilyas pay to tributes Muslim great scientists/ Mathematician Muhammad Ibn Musa Al Khwarizmi and Nasir al-Din al-Tusi.
Research Units within LAMDA
LAMDA is Established into two specialized research units: Al- Khwarizmi Data Integration for Urban Informatics (Al-Khwarizmi DIUI) Unit and Al- Tusi Solar Terrestrial and Atmospheric Relationship Al-TUSI STAR) Unit.
Al-Khwarizmi Data Integration for Urban Informatics (Al-Khwarizmi DIUI)
Focuses on Mathematical informatics, employing mathematical models to address challenges in data integration, urban planning, and bioinformatics.
Al-Tusi Solar Terrestrial and Atmospheric Relationship (Al-Tusi STAR)
Dedicated to exploring solar-terrestrial interactions and their influence on Earth’s atmosphere, contributing to research in climate science and astrophysics..
Among its key activities are significant collaborations and events, including: Awareness Session on Islamic Banking – Math to Power Industry Series #2 , Cosmic Convergence – Bridging Mathematical Frontiers in Space Sciences ,Sky Watch Evening Series, International Symposium – Math to Power Industry Series #2 ,International Hybrid “Math to Industry Boot Camp” ,
On Latest Technology Workshop and Awareness Training Program
- Workshop on Synopsis/ Thesis Writing, Nov 27, 2021.
- Webinar on How to get Research Grant/ Project Grants? , April 10, 2021
- Seminar on EndNote Training? Feb 22, 2022 .
- Panel Discussion Seminar on Islamic Mathematics and Maths in medieval Islam awareness, 03 March 2022.
Through these initiatives, LAMDA has continued to strengthen ties between academia and industry, emphasizing the practical applications of mathematical sciences. LAMDA offers an environment for high-quality research publications and provides solutions to complex industrial and technological challenges through mathematical techniques.
- Evaluating Thematic Analysis in Tourism Downfall and Economic Consequence during COVID-19 Evidence from a rural mountain community in Pakistan, International Journal of Innovations in Science & Technology, 3(4) Aug 2024.
- Analysis of Covid-19 Data Using ARIMA-Neural Artificial Intelligence, ilyas, Shaheen Abbas, Journal of Mountain Area Research, v.9, p. 28-42, May 2024.
- Exploring the Spectrum Power Fractal Scaling Parameters by Hurst Range increment – Second Order Moment Generation Techniques, , Muhammad Ilyas, Shaheen Abbas International Journal of Innovations in Science & Technology, 3(4)Aug 2024.
- Predictive ARIMA Model With Machine Learning Approach For COVID-19 Data, Shaheen Abbas, M.Ilyas ,Journal Scientific Inquiry and Review ,September ,V,6 2024
- Variability of Provincial capital Rainfall in Pakistan using Wavelet Transformation, MF Akhter, Shaheen Abbas. Pure and Applied Geophysics, 1-11 (2023).
- Model estimation and prediction of sunspots cycles through AR-GARCH models, Shaheen Abbas, A Zafar, MRK Ansari. Indian Journal of Physics, p 1-9(2022).
- Astronomy Lab
Supervisor: Murshid Raza
This lab supports research in celestial phenomena, planetary science, and observational astronomy, utilizing cutting-edge astronomical tools and telescopes. Two M.Phil. and one PhD students have successfully Completed their degrees. Cosmic Convergence – Bridging Mathematical Frontiers in Space Sciences (November 29, 2023): This -workshop explored the role of mathematics in space science, featuring drone technology and GIS applications.
Fluid Dynamics Lab
Supervisor: Dr. Aurangzaib Mangi
The Fluid Mechanics Research Laboratory (FMRL) operates under the supervision of Dr. Aurangzaib (Assistant Professor). Six students have successfully completed their MPhil degrees in fluid dynamics, and three PhD students are currently enrolled in the laboratory. Below are some highlighted publications from the lab:- Ali, F., Zaib, A., Lone, S. A., Raizah, Z., Saeed, A., & Yasmin, H. (2024). Thermal radiative on bio-convection flow with stefan blowing effects over a rotating disk in a porous medium. Journal of Thermal Analysis and Calorimetry, 1-19.
- Ali, F., Zaib, A., Abbas, M., Anitha, G., Loganathan, K., & Reddy, G. R. (2024). Radiative flow of cross ternary hybrid nanofluid (MoS2, TiO2, Ag/CMC-water) in a Darcy Forchheimer porous medium over a stretching cylinder with entropy minimization. Heliyon, 10(14).
- Faizan, M., Zaib, A., Khan, U., Ishak, A., Gasmi, H., Al-Naghi, A., & Karoui, H. (2024). Modeling of thermal and solute transport within a Maxwell fluid in contact with a porous rotating disc. The European Physical Journal Special Topics, 1-19.
- Faizan, M., Zaib, A., Reddy, M. V., Thiyagarajan, P., Almutairi, B., & Shah, N. A. (2024). Bio-convection Maxwell nanofluid through Darcy Forchheimer medium due to rotating disc in the presence of MHD. Ain Shams Engineering Journal, 102959.
- Zafar, S. S., Zaib, A., Alduais, F. S., Al-Bossly, A., Yasmin, H., & Saeed, A. (2024). A Keller Box Technique of the Sutterby Nanomaterial Including Gyrotactic Microorganisms Over a Rotating Disk. BioNanoScience, 1-22.
- Zafar, S. S., Zaib, A., Lone, S. A., Mahnashi, A. M., Hamali, W., & Saeed, A. (2024). Numerical analysis of Williamson nanofluid over lubricated surface due to microorganism with thermal radiation. Journal of Thermal Analysis and Calorimetry, 1-16.
- Astro Physics Lab
Supervisor: Mariam Sultana
Focusing on analyzing numerical methods and algorithms for solving mathematical problems in applied sciences, engineering, and physics. The numerous MPhil students.
Alumni Network
Our alumni have made significant contributions to mathematics and its applications globally. The department maintains a robust alumni network that provides current students with mentorship, internship opportunities, and career advice.
Future Directions
The department aims to expand its academic and research horizons by introducing new programs and collaborations. Future projects include incorporating Machine Learning and Artificial Intelligence into the curriculum and establishing further connections with industries in data science, financial markets, and healthcare.
Contact: