Department of Mathematics VGU

ABOUT THE DEPARTMENT

Mission of the Department of Mathematics is to promote quality education, training, research and to enhance employability skills of our students. Our Vision is to assist students in acquiring a conceptual understanding of mathematics, its processes and applications. Educational objective of the department is to orient the aspiring students and scholars for an overall development to enable them to meet the ever growing challenges of the global society with mathematical tools.
Today the department not only teaches various topics in mathematics to undergraduate and postgraduate students of different engineering, science and management streams, but also runs its own M.Sc. and Ph.D programs in Applied Mathematics. Department of Mathematics is also focused to motivate the students towards research and to make them aware about importance and increasing needs of mathematics in various areas of science and technology. To achieve these goals, the department maintains the high standard of teaching and research. All faculty members of the department are well qualified with rich academic and research experience. Most of the faculty members are doctorate from the institutes of repute and highly engaged in research in diverse area of basic sciences, engineering and technology. To make aware of the latest developments, the department keeps on timely updating in its teaching and research methodology and introduces new courses, which are aligned with the need to tackle real life challenging problems in science and technology.

ACADEMIC PROGRAMMES

Program Outcome and Program Specific Outcomes

B.Sc. (Hons.) Mathematics  Program Outcome (POs):

A graduate of the Mathematics (Hons.) will demonstrate:

PO1:      The graduates will become successful professionals by demonstrating logical and analytical thinking abilities.

PO2:      The graduates will work and communicate effectively in inter-disciplinary environment, either independently or in a team, and demonstrate leadership qualities.

PO3:      The graduates will engage in life-long learning and professional development through self-study, continuing education or professional and doctoral level studies.

PO4:      To impart students a broad outline of the methodology of science and will learn the important analytical and instrumental tools used for practicing science.

PO5:      Acquire knowledge and understanding of essential facts, concepts, principles and theories relating to the subject areas identified.

PO6:      Develop skills to evaluate, analyze and interpret the chemical information and data.

PO7:      Solve problems competently by identifying the essential parts of a problem and formulating a strategy for solving the problem.

PO8:      Think creatively (divergently and convergent) to propose novel ideas in explaining facts and figures or providing new solution to the problems.

PO9:     To develop student skill in critical thinking and analytical reasoning.

PO10:   To prepare the students to pursue higher studies and to develop sustainable innovative solutions for the nation.

B.Sc. (Hons.) Mathematics  Program Specific Outcome (PSOs):

A graduate of the Mathematics (Hons.) will demonstrate:

PSO1:  Communicate mathematics effectively by written, computational and graphic means.

PSO2: Create mathematical ideas from basic axioms.

PSO3: Gauge the hypothesis, theories, techniques and proofs provisionally.

PSO4: Utilize mathematics to solve theoretical and applied problems by critical understanding, analysis and synthesis.

PSO5: Identify applications of mathematics in other disciplines and in the real-world, leading to enhancement of career prospects in a plethora of fields and research.

 

M.Sc. (Mathematics) Program Outcome (POs):

 A Post graduate of the Mathematics Program will demonstrate:

PO1: Apply knowledge to solve the complex scientific problems and become competent professional at global level.

PO2: Identify, formulate and analyse advanced scientific problems on the basis of principles of science.

PO3: Conduct investigations of a complex problem using scientific knowledge for analysis and interpretation of the data.

PO4: Design experimental techniques and scientific tools for the extraction of experimental parameters and analysis of scientific-data.

PO5: Apply contextual knowledge to assess societal, health, safety, and cultural issues relevant to the science practices.

PO6: Understand and demonstrate the scientific knowledge in environmental contexts for sustainable development.

PO7: Understand ethical principles and responsibilities of a scientist to serve the society.

PO8: Communicate effectively through report writing, documentation and effective presentations.

PO9: Function effectively as an individual, and as a member or leader in diverse teams, in multidisciplinary settings.

PO10: Engage in independent and lifelong learning in the broadest context of science and technological developments.

PO11: Enhance and adopt new skills for future employability in teaching and research through seminar, internship and dissertation.

PO12: Successfully compete at national and international level competitive examinations.

 

M.Sc. (Mathematics) Program Specific Outcome (PSOs):

A Post graduate of the Mathematics Program will demonstrate:

PSO1: Have a strong foundation in core areas of Mathematics, both pure and applied.

PSO2: Be able to apply mathematical skills and logical reasoning for problem solving.

PSO3: Communicate mathematical ideas effectively, in writing as well as orally.

PSO4: Have sound knowledge of mathematical modeling, programming and Computational Techniques as required for employment in industry.

Faculty List

S. No.
Name of Labs
1 MATLAB Lab
2 Numerical Analysis Lab – I
3 Numerical Analysis Lab – II
4 Differential Equations Lab
5 PDE and Systems of ODE Lab
6 Mathematical Modeling Lab
7 Calculus Lab
8 Digital Electronics Lab
9 Mechanics Lab
10 Electricity and Magnetism Lab
11 Digital Electronics Lab
12 Thermal Physics and Statistical Mechanics Lab
13 Wave and Optics Lab
14 Digital Electronics Lab
15 Object Oriented Programming Lab with C++
16 Computing Systems Lab
17 Programming in C Language Lab
18 Object Oriented Programming with Java Lab
19 Data Structures & Algorithms Lab
20 Data Mining and Ml Using Python Lab
21 Advanced Machine Learning with Python Lab
22 Internet Programming Lab
23 Object Oriented Programming in C++ lab
24 Computing Systems Lab
25 Programming in C  Language Lab
26 Communication Technique Lab
27 Python programming lab
28 Software System Design lab
29 Data Structures & Algorithms  Lab
30 Database Management System Lab
31 Design and Analysis of Algorithms Lab
32 Computer Application lab
33 Data Mining & ML using Python Lab
34 Prolog Programming Lab
35 Programming in JAVA Lab
36 Cyber Security Lab
37 Computer Networks Lab
38 Design and Analysis of Algorithms Lab
39 Data Mining & Ware housing Lab

Laboratory

S.No.
Name of Labs
1 Computer Programming Lab
2 IOT Lab
3 Communication Lab
4 JAVA Lab
5 Networking Lab
6 Shell Programming Lab
7 Object Oriented Programming Lab
8 Data Structure & Algorithm Lab
9 Compiler Construction Lab
10 Software Engineering Lab
11 Python Lab

RESEARCH PUBLICATIONS

S. No
Title of Paper
Name of the Author/S
Department
Name of Journal
Year of Publication
ISSN Number
1 Special Functions, Integral Transforms With Applications Vikas Kumar Meena Mathematics Sambodhi 2021 2249-6669
2 Shehu Integral Transform Of The S-Function And Solution Of  Fractional Differential Equation Mridula Purohit, Rashmi Goyal Mathematics NIU International Journal Of Human Rights 2021 2394-0298
3 Fractional Calculus Approach To Multivariate Mittag- Leffler Function And N-Dimensional Laguerre-Konhauser Polynomial Mridula Purohit,Rashmi Goyal Mathematics Wesleyan Journal Of Research 2021 0975-1386
4 Solving Coupled Fractional Differential Equations Using Differential Transform Method Mridula Purohit, Et. Al. Mathematics Turkish Journal Of Computer And Mathematics Education (Turcomat) 2021 1309-4653
5 Fractional Time Dependent Model Of The Transportation Of Heavy Pollutants Mridula Purohit
Sumair Mushtaq
Mathematics Test Engineering And Management 2020 0193-4120
6 Applications Of Laplace-Adomian Decomposition Method For Solving Time-Fractional Advection Dispersion Equation Mridula Purohit
Sumair Mushtaq
Mathematics Journal Of Mathematics And Computer Science 2020 1960-1968
7 The Double Integral Transforms Of The Incomplete Generalized S- Function Mridula Purohit,Rashmi Goyal Mathematics International  Journal Of Advanced Science And Technology 2020 2005-4238
8 Singular Integral Operator Involving Generalized Mittag-Leffler Function With Fractional Approach Mridula Purohit,Rashmi Goyal Mathematics International Journal Of Advanced Science And Technology 2020 2005-4238
9 The Solution Of Some Fractional Differential Equations By Polynomial Integral Transform Method Mridula Purohit,Rashmi Goyal Mathematics Wesleyan Journal Of Research 2020 0975-1386
10 Certain Marichev-Saigo-Maeda Fractional Integration Operators
Involving The Product Of Galue Type Struve Function And Bessel
Struve Kernel Function
Mohsin Turuk, Dr. Yaghvendra Kumawat And Monika Meena Maths International Journal Of Advanced Science And Technology 2020
11 Pathway Fractional Integral Operator Associated With GTSF, Bessel-Struve
Function & Extended M-Series
Mohsin Turuk And Dr. Yaghvendra Kumawat Maths International Journal Of Advanced Science And Technology 2020
12 Marichev-Saigo-Maeda Fractional Calculus Operators with Extended Mittag-Leffler Function And Generalized galue Type Struve Function Rameez Aziz1, Yaghvendra Kumawat Maths Advanced Mathematical Models & Applications 2020 2519-4445
13 Solving Inventory Management Problems Through Mathematical Models: A New Paradigm For Industrial Growth Shefali Choudhary1, Prof. (Dr.) Vikas Shrotriya2, Mathematics Think India Journal 2019 0971-1260
14 Fractional Differential Equation And Their Applications Afsar Khan Mathematics IJMTE 2019 2249-7455
15 An Inventory Model For Two-
Warehouse For Deteriorating Item With Time Dependent Demand
Shefali Choudhary1, Prof. (Dr.) Vikas Shrotriya2, Mathematics Glimpses  |   Vol. 9,  No. 1,    December, 2019 2019 2250-0561
16 An Inventory Model For Two-Warehouse For Deteriorating Item
With Time Dependent Demand
Shefali Choudhary , Prof. (Dr.) Vikas Shrotriya
Dr. Pardeep Goel
Maths Glimpses 2019 2250-0561
17 Solving Inventory Management Problems Through Mathematical Models: A New Paradigm For Industrial Growth Shefali Choudhary
Dr. Pardeep Goel
Prof. (Dr.) Vikas Shrotriya
Maths Think India Journal 2019 0971-1260,
18 MSM Fractional Integration And Differentiation Operators Of Multi-Parametric K-Mittag Leffler Function And Generalized Multi-Index Bessel Function Mridula Purohit Aditi Badguzer Mathematics International Journal Of Statistics And Applied Mathematics 2018 2456-1452
19 The Gumbel – Exponential Distribution Mridula Purohit , Jaya Gupta , Aditi Badguzer Mathematics Journal Of Rajasthan Academy Of Physical Sciences 2018 0972-6306
20 Some New Expansion Formulae Involving A Basic Analogue Of Generalized H-Function Alpana Gupta Maths Journal Of Rajasthan Academy Of Physical Sciences 2018 ISSN : 0972-6306
21 Intuitionistic Fuzzy Queues With Priority Discipline. Chandan Singh Ujarari And Arun Kumar Mathematics International Journal For Research In Applied Science & Engineering Technology 2017 2321-9653
22 Broadcast Polling In Ieee 802.16 Networks With Average-Buffered Subscriber Stations. Chandan Singh Ujarari And Arun Kumar Mathematics International Journal Of Science And Research (Ijsr) 2017 2319-7064
23 Enhancement And Segmentation Of Lung Ct Image For Efficient Identification Of Cancerous Cells Mushtaq Ahmad Shah,Prof Mridula Purohit & Prof.M.H.Gulzar Mathematics International Journal Of Electronics And Informatics 2016 2186-0114
24 Traffic Congestion A Challenging Problem In The World Mushtaq Ahmad Shah,Prof Mridula Purohit & Prof.M.H.Gulzar Mathematics International Journal Of Mathematical Combinatorics 2016 1937-1055
25 A Survey And Strengthening Of Erdos Gyarfas Conjecture Mushtaq Ahmad Shah,Prof Mridula Purohit & Prof.M.H.Gulzar Mathematics Syril And Methodius University Skopje Macedonia 2016 1857-8438
26 A Study Of Fractional Integral Operators And Generalized K Wright Function Monika Malhotra,Prof.Vandana Agarwal Mathematics Iosr Journal Of Mathematics 2016 2319-765x
27 Fractional Derivatives And Fractional Integrals Afsar Khan Mathematics International Journal Of Scientific Research 2277-8179
28 Analysis Of Inventory Management For Deteriorating Items Under FIFO and LIFO Dispatching Policy (A Comparative Study Of Two Warehouses) Shefali Choudhary1, Prof. (Dr.) Vikas Shrotriya2, Mathematics Turkish Journal Of Physiotherapy And Rehabilitation 2651-4451