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MIDTERM EXAM (MARKS)
| Marks for B.Tech MAC (Ist, 2nd, 3rd and Final Year) Jan. June- 2024 | View |
Gola Ka Mandir, Gwalior (M.P.) - 474005, INDIA
Ph.: +91-751-2409300, E-mail: vicechancellor@mitsgwalior.in, Website: www.mitsgwalior.in
| Activity Calendar Jan. June- 2026 | CLICK HERE |
| Activity Calendar Jan. June- 2024 | CLICK HERE |
| Marks for B.Tech MAC (Ist, 2nd, 3rd and Final Year) Jan. June- 2024 | View |
The vision of the department is to impart knowledge of mathematics and computer sciences that serve to groom the academic potential of student and abreast with recent technological developments. With respect to potential areas of research of the Department in order to commercialize the research outcomes through development of products or services are
1. Fluid Dynamics
2. Population Dynamics
3. Queuing theory
4. Statistical Techniques
5. Special functions
Applications and Current research work of the above mentioned potential area
1. Fluid Dynamics
The study of fluid dynamics yields different method to understand weather predictions (weather forcasting), blood circulation, ocean currents, air conditioning systems, wind turbines and rocket engines etc. The current area of research in fluid dynamics are Non-Newtonian Fluid Dynamics, Biological Fluid Dynamics, Microhydrodynamics, Hydrodynamic Instability and Transition to Turbulence, Geophysical and Environmental Fluid Dynamics (GEFD).
2. Population Dynamics
The understanding of population dynamics enables us to know the relative importance of competition for resources and predation in ecological communities. It is area of mathematics which used to model and study the age and size of composition of population as dynamical system. The current area of research in population dynamics is management of natural resources, preserving biodiversity, cases of COVID -19, demography (Global Family Change (GFC)), Human resource
and endowment etc.
3. Queuing Theory
The queuing theory is branch of operational research (Optimization engineering) that deals with the study of queues (Waiting lines). The mathematical model of queuing system enables us to predict waiting time and length of the queue. The application of queuing theory can be seen in scheduling (viz. jobs of machines, programs on computer, patients in hospital etc.), traffic flow (aircraft, vehicles, telecommunication etc.) and facility design (post offices, supermarkets, banks etc.). The
current research areas of queuing theory are in construction management, hospital pharmacy performance (controlling and monitoring the medication), air defence missile weapon system etc.
4. Statistical Techniques
The statistical techniques apply to descriptive statistic (deals with properties of sample and population data) and inferential statistic (testing hypothesis and making conclusion). The current areas of research in statistical techniques are data mining and statistical analysis, data engineering, database management and architecture, business intelligence and engineering and market data analysis.
5. Special Functions
The special function lies in mathematical physics which includes function like gamma function, beta functions, hypergeometric functions, Meijer G- function, Legendre’s and Bessel’s functions, Whittaker function, reimann zeta function and their extension etc. Current areas of special functions are in fractional calculus, astronomy, cardiac pacemaking function, analytic number theory and coherent states etc.
Summary of the focused Area of the Department
|
S.No. |
Focused Area |
Applications |
Current Area |
|
1. |
Fluid Dynamics |
Weather predictions (weather forcasting), blood circulation, ocean currents, air conditioning systems, wind turbines and rocket engines |
Non-Newtonian Fluid Dynamics, Biological Fluid Dynamics, Microhydrodynamics, Hydrodynamic Instability and Transition to Turbulence, Geophysical and Environmental Fluid Dynamics (GEFD), Biological fluid Flows, Nanofluid flow |
|
2. |
Population dynamics |
Competition for resources and predation in ecological communities |
management of natural resources, preserving biodiversity, cases of COVID -19, demography (Global Family Change (GFC)), Human resource and endowment etc. |
|
3. |
Queuing Theory |
Scheduling (viz. jobs of machines, programs on computer, patients in hospital etc.), traffic flow (aircraft, vehicles, telecommunication etc.) and facility design (post offices, supermarkets, banks etc.) |
Construction management, hospital pharmacy performance (controlling and monitoring the medication), air defence missile weapon system etc. |
|
4. |
Statistical Techniques |
Sample and population data and hypothesis testing and making conclusion). |
Data mining and statistical analysis, data engineering, database management and architecture, business intelligence and engineering and market data analysis |
|
5. |
Special Functions |
Mathematical physics, astrology, quantum theory, |
Fractional calculus, astronomy, cardiac pacemaking function, analytic number theory and coherent states etc. |
| Session | Batch |
| 2024-2025 | First-year batch |
| Second-Final year batch |
Data Science Lab (DSL)
The Data Science Lab has been dedicated to provide a platform to students where theoretical lectures can be translated into practical implementation through programming model and tools. In Data Science Lab our steady focus is to find the solutions of data-driven problems of Data Engineering, Data Analysis, Data Science, Artificial Intelligence and Machine Learning so that data can be transformed into valuable insights. PYTHON is a highly productive scripting language that is used to provide high productivity and performance to process large amounts of data in data science. The students can practice the other Programming languages like C, C++, JAVA and MATLAB also. Once students understand how to use a language, they can write the source code in a text editor, execute it on an interpreter, or compile it for execution. Students try different approaches for invoking and executing PYTHON scripts and complete PYTHON coding exercises. In Data Science lab, students perform experiments, gain experience and move forward.

Computing Lab
The Computing Lab is very useful for the students, engineers, scientists & researchers. Millions of engineers and scientists worldwide use MATLAB for a range of applications, in industry, including deep learning and machine learning, signal processing and communications, image and video processing, control systems, test and measurement, computational finance. how to solve the Numerical Analysis problem solve by using MATLAB. Numerical method is a mathematical tool designed to solve numerical problems. numerical methods give us approximate results as there is always some assumptions are made. The package MATLAB (matrix laboratory) provides an environment in which students can learn to programme and explore the structure of the numerical methods.