Welcome to the Mathematics Department of NUTECH School of Applied Sciences and Humanities (NUSASH) at NUTECH
Welcome to the Department of Mathematics! Our department is committed to providing a comprehensive and dynamic learning environment for students at all levels. Whether you are just beginning your journey in mathematics or are an advanced student seeking specialized knowledge, we offer a wide range of courses designed to challenge and inspire.
Mathematics is the foundation of many fields, including science, engineering, economics, technology, and even the arts. Our department emphasizes the development of critical thinking, problem-solving skills, and a deep understanding of mathematical concepts. We offer curriculum that cater to students pursuing engineering or computing as a major, as well as those in other disciplines who need a strong mathematical background.
Modeling and simulation in mathematics involves creating mathematical representations of real-world systems to understand and predict their behavior. By using computational tools, researchers develop models to simulate complex phenomena in fields such as engineering, biology, economics, and climate science. These simulations allow for experimentation in virtual environments, providing insights into system dynamics, optimizing processes, and supporting decision-making without the need for physical trials.
Faculty: Dr Ubaid Ahmed Nisar
Fluid mechanics is the study of how fluids (liquids and gases) behave under various conditions of motion and rest. It involves understanding the forces acting on fluids and their interactions with solid boundaries. Researchers in this field use mathematical models to analyze fluid flow, turbulence, heat transfer, and fluid-structure interactions, with applications in aerodynamics, weather prediction, biomechanics, and the design of efficient transportation systems, such as aircraft and pipelines.
Faculty: Dr Muhammad Waqas & Dr Mehwish Manzur
General relativity, proposed by Albert Einstein, is the theory of gravitation that describes how massive objects influence the curvature of space-time, leading to the force of gravity. In astrophysics, this theory is crucial for understanding phenomena such as black holes, gravitational waves, and the expansion of the universe. Researchers use general relativity to explore the dynamics of stars, galaxies, and cosmic events, applying it to study the behavior of matter and energy under extreme conditions. This field plays a pivotal role in the study of cosmology, gravitational interactions, and the evolution of the universe.
Faculty: Dr Usman Alam Gillani
Cryptography is the science of securing communication and data through mathematical techniques, ensuring privacy, integrity, and authentication. It involves developing algorithms and protocols to encode information, making it unreadable to unauthorized users. Researchers in cryptography explore areas such as encryption methods, public-key cryptosystems, digital signatures, and secure communication protocols, with applications in cybersecurity, digital currency, and data protection across various industries.
Faculty: Dr Atta Ullah & Dr Muhammad Sajjad
Computational mathematics involves the development and application of numerical algorithms to solve mathematical problems that are difficult or impossible to solve analytically. This field focuses on designing efficient algorithms for tasks such as solving differential equations, optimization, data analysis, and simulation. Researchers in computational mathematics work with computers and mathematical theory to model complex systems, process large datasets, and find approximate solutions to real-world problems in fields like engineering, physics, finance, and machine learning.
Faculty: Dr Ubaid Ahmed Nisar & Dr Danyal Ahmad
Fractional calculus extends traditional calculus by introducing derivatives and integrals of non-integer order, offering a broader framework for modeling complex, memory-dependent systems. It provides tools to describe processes with anomalous dynamics, such as viscoelastic materials, chaotic systems, and diffusion in heterogeneous media. Researchers use fractional calculus to develop more accurate models in fields like physics, engineering, biology, and finance, where conventional integer-order models are insufficient for capturing intricate behaviors of real-world phenomena.
Faculty: Dr Ahsan Abbas
Harmonic analysis is the study of functions through the decomposition into simpler, periodic components, often using techniques like Fourier series and Fourier transforms. It explores how complex signals can be understood in terms of their frequency content, which is crucial for analyzing waves, oscillations, and vibrations. Researchers in harmonic analysis apply these methods to signal processing, image compression, quantum mechanics, and data analysis, enabling advancements in areas such as communications, acoustics, and the study of partial differential equations.
Faculty: Dr Muhammad Asim
Industrial mathematics applies mathematical models, techniques, and computational methods to solve practical problems in industries such as manufacturing, engineering, finance, and technology. It involves collaborating with industry professionals to optimize processes, design products, and improve systems efficiency. Researchers in industrial mathematics use tools like optimization, statistical analysis, and simulation to address challenges in areas like supply chain management, quality control, product design, and risk assessment, bridging the gap between theoretical mathematics and real-world industrial applications.
Faculty: Dr Muhammad Zeshan
Assistant Professor (Mathematics)
Assistant Professor (Mathematics)
Assistant Professor (Mathematics)
Assistant Professor (Mathematics)
Assistant Professor (Mathematics)
Assistant Professor (Mathematics)
