Dr. Mehwish Manzur

Lecturer (Mathematics)

Introduction:

I am Dr. Mehwish Manzur, Lecturer in NUSASH Department at NUTECH, possessing over five years of extensive experience in the realm of academia. My primary research interests lie in Computational Fluid Dynamics, Newtonian and non-Newtonian fluids, Solutions of non-linear differentials equations. My teaching philosophy centers around providing students with deeper understanding of the basic concepts of Mathematics and providing them with sufficient knowledge, which I consider essential for addressing real-world engineering and scientific challenges. I am dedicated to equipping students with sound knowledge that not only covers theoretical foundations but also emphasizes practical applications

Experience :

Lecturer, NUSASH Department, NUTECH (2019–Present)

  • Teach undergraduate Mathematics courses in Computer Science, Artificial intelligence, Software Engineering, Mechanical Engineering, Electrical Engineering, Computer Engineering departments. 
  • Supervised graduate students on research projects in ICAT.
  • Serve as a faculty co-mentor for student from different programs.

Lecturer (VF), AIR University (Spring 2019)

  • Taught Complex Variables & Transforms in Department of Mechatronics Engineering.

Teaching Assistant, Department of Mathematics, Quaid-i-Azam University (Fall 2013)

  • Taught Calculus in Tutorial Classes and Assessment making and marking of BS students.

Teaching Assistant, Department of Computer Science, FAST (NUCES), Islamabad (Fall 2012)

  • Taught Linear Algebra in Tutorial Classes and Assessment making and marking of BS (CS) students.

Qualification :

  • Academia:
    • Ph.D. in Mathematics, Quaid-i-Azam University, Islamabad (2019)
    • M.Phil. in Mathematics, Quaid-i-Azam University, Islamabad (2013)
    • M.Sc. in Mathematics, Quaid-i-Azam University, Islamabad (2011)

I have published over 11 peer-reviewed papers in top-tier journals, such as the International Journal of Mechanical Science and the Journal of Molecular Liquids. 

 

  • Trainings
    • OBE Training Workshop, NUTECH (2021, 2023, 2024)

Taught Courses   

have taught a variety of undergraduate and graduate-level courses in the NUTECH School Of Engineering & Technology (NUSET) as well as in NUTECH School Of Information Technology (NUSIT). Below are the courses I have been involved in teaching:

  • Calculus & Analytical Geometry 
    An introductory course focusing on of functions of one variable, with applications. Concept of limits and continuity. Differentiation and Integration and their applications in science
  • Multivariable Calculus 
    Concepts of functions of several variables, their limits, continuity and partial derivatives, the problems involving maxima and minima, line and surface integrals. Multivariable functions are used to model complex relationships in data where multiple input features influence the output. In graphics programming, functions of multiple variables are employed to define and manipulate three-dimensional objects. Functions of multiple variables play a role in database design and query optimization.  
  • Linear Algebra

A course focused on providing the fundamentals of solution for system of linear equations, operations on system of equations, matrix properties, solutions and study of their properties.

 

  • Differential Equation
    A course focused to enable students to have deep understanding of the basic mathematical concepts of differential equations and different types of analytical methods related to differential equations. It provides ample knowledge and problem-solving skills for modeling simple engineering and real-life scenarios using differential equations and rendering reliable solutions.
  • Discrete Structures
    Introduces the foundations of discrete mathematics as they apply to Computer Science, focusing on providing a solid theoretical foundation for further work. Further, this course aims to develop understanding and appreciation of the finite nature inherent in most Computer Science problems and structures through study of combinatorial reasoning, abstract algebra, iterative procedures, predicate calculus, tree and graph structures. 
  • Probability & Statistics
    This course introduces probability and statistics, introducing students to quantitative uncertainty analysis and risk assessment with emphasis on engineering applications. The course focuses on probability theory and its applications, with a module covering basic topics in statistics (Basic Statistics, samples, sampling distributions, parameter estimation, hypothesis testing and regression analysis). The probability modules cover events and their probability, the total probability and Baye’s theorems, discrete and continuous random variables and distributions, cumulative distribution function, conditional distributions, moment generating function. Throughout the subject, concepts are illustrated with examples from engineering and everyday life. 
  • Complex Variables & Transforms
    The objective of the course is to teach them basic manipulations on complex numbers also enable them to identify the singular points of an analytic function with the construction of series and explaining usefulness of Laurent series in the computation of line integrals. Another main objective of the course is to teach them to apply Laplace, Fourier and Z transformations and solve various engineering problems using transforms.

Research:

My Research Areas are Computational Fluid Dynamics, Newtonian and non-Newtonian fluids, Solutions of non-linear Differentials Equations.

  • Publications:
    • M. Manzur, M.u Rahman, M. Khan, T. Salahuddin, M. Taj (2023).  “A significant study on radioactive cross fluid model with melting boundary near stagnation region.” Proceedings of the Institution of Mechanical Engineers, Part E: Journal of Process Mechanical Engineering.
    • F Shahzad, SA Shehzad, WA Khan, M Waqas, M Manzur, M Zubair (2020).  “Convective stratified flow of magnetized Eyring–Powell (EP) nanofluid by a stretching cylinder.” Applied Nanoscience.
    • T. Salahuddin, I. Imtiaz, M. Khan, N. Siddique, M. K. Alaoui, S. Aly and Mehwish Manzur (2020).  “A comparative study of γAl2O3− H2O and γAl2O3− C2H6O2 near boundary layer non-linear curved surface”, Radiation Physics and Chemistry.
    • M Manzur, M ur Rahman, M Khan (2020).  “Computational study of Falkner–Skan flow of chemically reactive Cross nanofluid with heat generation/absorption.” Physica A: Statistical Mechanics and its Applications.
    • M ur Rahman, M Khan, M Manzur (2018). “Boundary layer flow and heat transfer of a modified second grade nanofluid with new mass flux condition.” Results in Physics.
    • M Manzur, M Khan, M ur Rahman (2018). “Mixed convection heat transfer to cross fluid with thermal radiation: effects of buoyancy assisting and opposing flows.” International Journal of Mechanical Sciences.
    • M Khan, M Manzur, MU Rahman (2017). “Boundary layer flow and heat transfer of cross fluid over a stretching sheet.” Therm Sci.
    • M Khan, M ur Rahman, M Manzur (2017). “Axisymmetric flow and heat transfer to modified second grade fluid over a radially stretching sheet.” Results in Physics.
    • M ur Rahman, M Khan, M Manzur (2017). “Homogeneous-heterogeneous reactions in modified second grade fluid over a non-linear stretching sheet with Newtonian heating.” Results in Physics.
    • M Khan, M Manzur, M ur Rahman (2017). “On axisymmetric flow and heat transfer of Cross fluid over a radially stretching sheet.” Results in Physics.
    • M ur Rahman, M Manzur, M Khan (2016). “Mixed convection heat transfer to modified

 second grade fluid in the presence of thermal radiation.” Journal of Molecular Liquids.

Projects  :

  • Electric Generator (2020): Small instruments are used to portray this concept which can produce electricity. The students learnt how mechanical energy is converted into electrical energy by constructing an Electric generator. The purpose of this project is how we can make an electric generator to produce electricity at small scale which will lead in producing electricity at large scale. Hydropower can be a sustainable and nonpolluting source of electricity that can help decrease our dependence on fossil fuels and reduce the threat of global warming.
  • Solar Panel (2022): Solar power is the conversion of renewable energy from sunlight into electricity, either directly using photovoltaics (PV), indirectly using concentrated solar power, or a combination. Photovoltaics modules use light energy (photons) from the Sun to generate electricity through the photovoltaic effect. It was an eco-friendly alternative source of energy.
  • NEXUS (An AI-Powered Solution) (2024): The project encompassed several AI-powered functionalities under the NEXUS Virtual Assistant, designed to streamline daily tasks through voice commands like web browsing, weather update and fetching news, all through a single platform.