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NAAC
Accreditation
with "A++" &
CGPA of 3.52
out of 4.00
sot pdpu

Admissions in M.Sc. (Mathematics and Computing) is commenced and the last date to apply is 03rd July 2023

 

 

 

About the Department of Mathematics

The creation, updation and application of knowledge have become keys to the success of industries, organisations and individuals.

Mathematics is an integral part of the study of engineering regardless of the discipline. There are various mathematical tools applied in various branches of engineering. A two-pronged (dual) approach of the Department is to underpin the essential mathematics and also to excite interest in engineering. It is widely used in almost all the disciplines of Engineering.

The School of Technology aims at providing national and international Undergraduate, Postgraduate and Doctoral education. The graduate engineers from the School will stand apart in identifying research that addresses the big challenges in the world. The school adopt an educational philosophy using basic research and this novel discovery as the foundation will translate and enhance this research into manifold applications beneficial to the society. The goal of mathematics department is not very much different than that of the school of technology. The role of mathematics in each of the goals of the school cannot be ignored, since it lies in the very root of every engineering discipline that grows to a huge tree, where each branch has a different theme and contributes to various engineering disciplines

 

 

HISTORY

The Department of Mathematics was formed in 2011, just after the formation of SOT in 2010. The Department has a strong academic base of 17 faculties all holding Ph.D. from various prestigious Universities / Institutions. In order to cater the need of present engineering scenario, the Department has experts in various fields ranging from Analysis to Mathematical Modelling, Stochastic Optimization, Solid Mechanics and FGM, Performance measure of distribution warehouses and Software Reliability, Magnetohydrodynamics, Computational Biology, Data assimilation in numerical models of the ocean, Numerical Reservoir Simulation, Applied Geophysics & Geostatistics, Fuzzy Sets, IFS, Fixed Point Iteration Methods, Financial Mathematics, Sea Age Dynamics, Sea-ice dynamics, Polar studies, Ocean models, non-Newtonian fluid flows and heat transfer: Analytical and numerical treatment, Theory of Relativity are some of the fields these faculties have been working in. This list ensures that almost no applied area is left untouched.

The department at this juncture is interested not only in expanding the activities of the university but also rationalize its strength to extend research and promote research-related activities in the various spheres of Engineering.

 

 

VISION

The departments' long-term vision is to prepare young minds to be future scientists and entrepreneurs, harnessing the potential of mathematics for the benefit of society, through quality research and rigorous curriculum designed to achieve a seamless transition from fundamental mathematics to exploitable technology.

 

MISSION

The department's mission is to provide solid mathematical foundations and to prepare students to be responsible members of society with moral and ethical values, as well as to have a solid mathematical understanding relevant to today's world.

 

Objectives

  • To provide opportunity to the larger mass of faculty to pursue research and innovation in the various spheres of Engineering.  
  • To impart fluency in the use of mathematics for practical problem solving for researchers of mathematics as well as engineering.
  • To throw light on the applicability of the mathematics in engineering and exemplify valuable activities undertaken by engineers.
  • To draw a large and diverse community of participants from academia, industry and research institutes through seminars, workshops, STTPs, symposia and conferences.
  • To connect mathematicians with applied scientists in an environment conducive to interdisciplinary collaboration by organizing workshops.

 

 

Head of the Department


Dr. Poonam Prakash Mishra
HoD & Associate Professor
Ph.D, M.B.A, M.Sc.
Email: Poonam.Mishra@sot.pdpu.ac.in
Phone: 079-23275439

Areas of Interest: Mathematical modelling of real world problems Inventory and Supply chain management, stochastic optimization

Brief Profile: Dr. Mishra has received her Ph. D. degree in year 2010 in applied Mathematics and since then she is associated with Mathematics department of the School of Technology at Pandit Deendayal Energy University. She holds master’s degree in business administration (MBA) with specialization in operations management. Her core research area is modelling and analysis of real world problems mathematically. This includes formulation, analysis and optimization of the problem using different optimization techniques. She has applied concepts of modelling and optimization in various fields of management, sciences and technology. Currently working on joint research problems with chemical and electrical engineering. She has 40 publications on her name in various peer reviewed journals. She has also contributed eight chapters in edited books, presented six papers at India and abroad and author of a book. She has also delivered lectures at national and international forums. Three students have received their Ph.D. degrees under her guidance and two more are working on their research problems. She has successfully completed one funded project form SAC - ISRO under "Integrated Studies of Himalayan Cryosphere" for route optimization for ship navigation in sea ice areas of Antarctica. She is presently working on Mathematical modelling of Himalayan - GLOF, in a collaborative work with SAC- ISRO.

 

 

National/International Research Collaborations

Department has collaboration with the department of Mathematics, Statistics, College of Agriculture and Engineering, University of Kwazulu Natal, Pietermaritzburg campus, South Africa and Department of Mathematics, University of Johannesburg in the areas of Numerical solution of boundary layer equations, MHD/non MHD flow and heat transfer.

 

 

Industrial Relations

In order to create research atmosphere, many faculties of the Department have been working upon different projects under collaborative agencies like Space Applications Centre, ISRO.

 

 

Contact Us

Department of Mathematics

School of Technology,
Pandit Deendayal Energy University
Raisan, Gandhinagar - 382426
Phone No.: +91-79-23275439

 

 

 

 

 

Thrust Areas

Mathematical modelling of real-world problems: management, sciences, engineering and management.

Optimization of inventory and supply chain models for profit maximization.

Stochastic modelling for crude oil production

Development of Hybrid algorithms for route optimization

Modelling of glaciers for forecasting Glacial lake outburst flood

1. Study of stresses and strains related to problems on disks and cylinders.
2. Analyse the differential equations under fuzzified conditions.

1. Study of Calcium dynamics in nerve cells under different neuronal disorder conditions.
2. Analyse the Biological problem under fractional order differential equations with fractional conditions.
3. Study of Sequence alignment of RNA, DNA and different protein of different biological species.
4. Modelling of some biological processes under Fuzzy conditions.

1. Experiments of the Modular Ocean model are analysed to study the dynamics of the Indian Ocean.
2. Observations and model outputs are appropriately blended to improve the forecast capacity of the model.
3. Spatio-temporal analyses of various sea-ice parameters in the Arctic and Antarctic using satellite data

Computation of seismic hazard using local and regional earthquake data. Development of various algorithms to estimate various seismological parameters. Designing and development of Seismic Microzonation for sustainable infrastructure in a seismically sensitive area, Formulation of various highly non-linear PDE for fluid flow through porous media in petroleum reservoirs and their solutions, Designing of various 3D failure criteria (linear/non-linear) in geomechanics for the development of stable wellbore in challenging environment, Development of various Semivarigram and Kringing models in new field development for hydrocarbon exploration, exploitation and production. Machine Learning and Artificial Intelligent approaches to predict the various Petrophysical parameters, Geo-mechanical parameters etc.

1. To study the impact of various flow parameters in MHD fluid flow and heat transfer under different conditions and configurations.
2. To develop the numerical methods suitable for a mathematical model representing the fluid flow and heat and mass transfer problems.

1. Developing mathematical models in evaluating performance measure of distribution warehouses.
2. Machine Learning strategies for time series forecasting

1. Solving Einstein's Field Equations and studying Neutron Stars, especially Compacts Stars, and predicting their physical content through Mathematical Modeling
2. Getting a variety of samples from authorised bodies to analyze Water and Air Quality and then predicting it through various Machine Learning Algorithms and creating new algorithms that provide better accuracy.

1. Modeling and analysis of various non-newtonian fluid flows and their analytical(exact) or numerical solution.
2. Numerical modeling of thermal irreversibilities in the fluid flows of various non-Newtonian fluids

1. To develop and implement a non-primitive boundary element method for viscous flows involving free flows and flow through porous media. Also, discussing specific applications in free flows, such as electro-osmotic flow through micro-and nanochannels, and in porous media, such as MHD flow through a corrugated porous channel, and modelling flow inside different glycocalyx layers inside blood vessels in a human artery etc.
2. Developing a dual boundary element method (DBEM) and scaled boundary finite element method (SBFEM) codes in MATLAB for physical problems involving surface gravity wave interaction with porous structures, and analysing the scattering, trapping and radiation of waves by porous structures of varied configurations in different cases arising in coastal engineering.
3. Design and analysis of two and three-dimensional liquid sloshing dynamics. The thirst to dissipate the sloshing energy and suppress sloshing forces inside different tank configurations with thin porous baffles using the dual boundary element method (DBEM).

Exploring the applications of fractional calculus in modernizing problems of optimal control and variational calculus. Deducing the necessary and sufficient optimality conditions for a class of fractional optimal control problems. And constructing efficient numerical algorithms to obtain the solutions. Implementing the solution schemes to bio-mathematical models of tumor growth. In addition, interested in extending the problems of non-convex optimization to fractionally-convex optimization.

Solving various decision-making problems involving numerous different governing variables affecting objectives. Leverage to the perception of investors and categorisation based on perception is not considered in any of the currently available methodologies. In this regard, a novel technique to construct perception-based portfolio management by integrating the philosophy of Multi-criteria decision-making and fractional calculus is developed.

1. Self-centred graphs are significant in designing a communication network, especially helpful in facility location problems. Studying self-centeredness of graphs operations like graph products and power of graphs.
2. Embedding of graphs into self-centered graphs, almost self-centred and almost peripheral graphs.

1. Mathematical modelling of open channel turbulent flow.
2. Solving the obtained differential equations after doing mathematical modelling of turbulent flow analytically, semi-anytically and numerically.

1. Modeling several real-time queueing problems in diverse fields, namely production systems, supply-chain management, transport management, medical sectors and public healthcare, computer and communication systems, biotechnology, chemical/mechanical engineering, etc.
2.Demonstration of the state-probability distribution using the matrix-geometric/analytic approach.
3.Economic/Sensitivity analysis/Optimal control using several heuristics and nature-inspired algorithms.
4.Reliability and availability analysis of fault-tolerant machining systems

1. Classical Codes, quantum codes and quantum synchronizable codes in Algebraic sense over finite commutative local rings, non-local rings and with respect to them, computation of optimal codes.
2. Codes can further be connected with the Theta series, Jacobi forms, and Hilbert-Siegel modular forms to develop a relationship with the complete weight enumerator and other parameters.

 

Research Project


Ongoing Projects in the Department
Sr. No. Ongoing Projects Funding Agency Cost
1 Sulfuric Acid Mediated Weathering in the Ganga, Yamuna, and the Brahmaputra (GYB) River Basins: Constrains from Sulfur and Oxygen Isotopes in Dissolved Sulfate Ministry of Earth Science, Govt. of India Rs. 41,12,120/-
2 Modelling of GLOF conditions to occur and modeling of retreat of glaciers. Space Applications Centre, ISRO Rs. 24,84,000/-
3 High resolution relocatable regional circulation forecasting system Space Applications Centre, ISRO Rs. 13,18,848/-

 

Completed Projects in the Department
Sr. No. Completed Projects Funding Agency Cost
1 Spatio-Temporal Analysis of Sea Ice Condition and Icebergs over the Polar Regions using ScatSat Data Space Applications Centre, ISRO Rs. 13,10,567/-
2 Sea Ice Route Optimization for Safer Ship Navigation" under 'Integrated Study of Himalayan Cryosphere Project Space Applications Centre, ISRO Rs. 10,35,000/-

 

 

 

Interdisciplinary Research

  • Design of Safe Well in the High Pressure and Temperature Oil & Gas Reservoir based on Predicted Pore Pressure from Seismic Data.
  • Numerical Solutions of Highly Non-Linear Multi-Phase Fluid Flow Through Porous Media.
  • Reservoir Simulation & Modeling

 

 

Seminars/ Workshops/ Conferences


Sr. No. Activity Title Date
1 2 Days national conference on Mathematical Sciences January 2020 - 4th week
2 1 Week STTP on "Advanced Research Tools" March 2020 – 1st week
3 2 Day Online Workshop on Scientific Document Preparation System: LaTeX 16th – 17th October, 2020
4 National webinar on "Applications of Fractional Calculus in Real-world Problems" December 2020 - 3rd Week
5 1 Week STTP on "Solution of Differential Equations and Its Applications" 04-08 January, 2021
6 National webinar on "Career Dimensions in Mathematics" 14th March, 2021
7 National Webinar on "Mathematics: A language to interact with Scientific Problems" 10th May 2021
8 National Webinar on "Wonders of Mathematics" 6th June, 2021
9 National webinar on "Applied and Computational Mathematics: Future Perspectives" 12th June 2021
10 National Webinar on "Mathematics and Its Role in Science and Technology for Societal Needs" 19th June, 2021
11 PDEU: A Place for Deep Diving into Science (Counselling Session for Aspiring UG/PG Science Graduates) 20th June, 2021

 

 

Faculty

 

 

 

Visiting Faculty

 


Dr. Parth Mehta
Visiting Faculty
B.Sc., M.Sc., Ph.D.
Parth.Mehtav@sls.pdpu.ac.in
Area of Interest: Continuum Mechanics, Functionally Graded Materials and Mathematical Modelling.

Brief Profile: Parth Mehta earned his PhD from the department of Mathematics at School of Technology, Pandit Deendayal Energy University, Gujarat, India for his thesis titled as, “Analysis of Innovative Composite Materials Using Analytical and Numerical Methods”. His research work contributes to the understanding the performance of various engineering components made up of functionally graded materials, under an influence of body and surface forces. He obtained his Master’s degree in 2015 from Kadi Sarva Vishwavidyalaya, Gujarat, India, where he investigated topological structures. He has taught various mathematical courses namely, Calculus, Linear Algebra, Statics and Dynamics, Elementary Algebra, Object Oriented and Python Programming to students of bachelor of science.

Currently, he is teaching Object Oriented Programming, Python Programming and Graph Theory to students of Mathematics enrolled in Bachelor of Science and Master of Science program.

Dr. Ritu Sahni
Visiting Faculty
B.Sc., M.Sc., Ph.D. Mathematics
ritu.sahniv@sls.pdpu.ac.in
Area of Interest: Fixed Point Theory, Numerical Methods and Fuzzy Decision-Making Systems.

Brief Profile: Dr. Ritu Sahni is a dedicated and experienced Mathematics teacher and researcher with more than 15 years experience who is actively involved with both undergraduate and postgraduate levels students. She has a strong academic background by completing B.Sc. (Mathematics), M.Sc. (Mathematics with specialization in Computer Applications) from Dayalbagh Educational Institute, Agra, U.P., India, and Ph.D. from Jaypee Institute of Information Technology (JIIT), Noida, India. During her Ph.D., she also served her Institution (JIIT, Noida, India) by teaching Undergraduate and Postgraduate students and after the completion of her Doctorate degree she served various Institutions including Navrachna University, Vadodara, Gujarat, India, Institute of Advanced Research (IAR), Gandhinagar, India as an Assistant Professor, and presently she is working as a Visiting Faculty at Pandit Deendayal Energy University, Gandhinagar Gujarat, India. She worked with her students on various research-related problems and published their work in reputed Journals such as Elsevier, Springer, etc. She has published more than 35 research papers in peer-reviewed SCI, ESCI and Scopus indexed International Journals and Conferences. She is the reviewer of many International Journals and is a member of the Indian Science Congress and many other well-renowned societies. She has also organized Seminar, Workshop, and also coordinated the 2nd International Conference on Mathematical Modelling, Computational Intelligence Techniques and Renewable Energy (MMCITRE) held from February 06 - 08, 2021. She has delivered talks and presented many research articles in various International Conferences in India and Abroad. Her research field includes Fixed Point Theory and its Applications, Numerical Methods, Fuzzy Decision-Making Systems, and other allied areas. She is a devoted faculty member, committed researcher, and enthusiastic about striving to improve the institution's educational offerings and research fields for societal growth.

Currently, she is teaching Topology, Modern Algebra and Calculus II to students of Mathematics enrolled in Bachelor of Science and Master of Science program.

 

 

Chapters


Formation of Club of Mathematics (SoM) working under the Department of Mathematics

 

 

Events


  • April 2020 to March 2021

  • April 2021 to May 2022

 

 

NAAC


Sr. No. Name of the Programs Branch Major/Minor Duration
1 B.Sc. (Hons.) Mathematics Major 4 Years
2 B.Tech. All Branches Minor 4 Years
3 M.Sc. Mathematics Major 2 Years
4 M.Tech. All Branches Minor 2 Years
5 Ph.D. Mathematics Major 4+1 Years

2020-2021

2019-2020

2018-2019

2017-2018

2016-2017

 

 

Achievements


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