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 ListFaculty 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

                                                                                       

 

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