About Department of Mathematics and Statistics

Head of the Department: Prof. R.K. Gangele

Contact No: +91-7582-265823, Residence : +91-7582-265292
Email Id: This email address is being protected from spambots. You need JavaScript enabled to view it.

Departmental IQAC Profile

Criterion 1 :- Curricular Aspects

Criterion 2 :- Teaching-Learning and Evaluation

Criterion 3 :- Research , Innovations and Extension

Criterion 4 :- Infrastructure and Learning Resources

Criterion 5 :- Student Support and Progression

Criterion 6 :- Governance, Leadership and Management

Criterion 7 :- Institutional Values and Best Practices

Name of the Department : Department of Mathematics and Statistics

Year of Establishment : 1946

Brief Introduction of the Department :

The Department of Mathematics & Statistics was established with the very inception of the University in the year of 1946. The founder of the university and the founder vice-chancellor Dr. Harisingh Gour had himself appointed Mr. R.B. Rabugunday as the first Head of the Department. Mr. Rabugunday was a scholar of Madras University and a Wrangler of Cambridge tradition. Shri K M Saxena became the next Head. He was an F N A Sc and a Fulbright scholar. The Ranchi University published a commemorative volume containing research papers on Mathematics in his memory. Dr. Manu Lal Mishra, was the next head of the Department. He was a scholar of Allahabad University. Prof D. N. Mishra made noticeable changes and improvements in the department. He later became a Joint Advisor in the CSIR, New Delhi. Consequently after becoming the Joint Secretary in the UGC, a Director of MAP CST in MP, he was appointed as the Vice-Chancellor of the BHU.

At present, Prof. R.K. Gangele is the Head of the Department. He joined this Department in 1998 as an Assistant Professor. He holds master degrees in Statistics as well as in Mathematics with M.Phil and Ph. D. degrees in Statistics . Presently he is doing research in Sampling Theory, Inference, Stochastic Analysis, Mathematical Finance and General Relativity.

The Department of mathematics and Statistics of Dr. H. S. Gour University is the oldest in Madhya Pradesh and Chhattisgarh regions. It is a golden opportunity for the students of the central States of India especially for that of the Bundelkhand region, to undertake research in Mathematical Sciences, covering a number of research areas.

At present we have two Professors and nine Assistant Professors in our Department. There are more than six hundred students studying in UG, PG, and Ph. D. programmers of this Department, at a time.

The Present Head:

S.No.	Name	Duration
1	Prof. R.K. Gangele	2016- to be continued

The Past Heads:

S.No.	Name	Duration
1	Dr. R.B. Rabugunday	1946-1948
2	Prof. K.M. Saxena	1948-1950
3	Prof. M.L. Mishra	1950-1964
4	Prof. B.D. Singh	1964-1966
5	Prof. D.N. Mishra	1967-1977
6	Prof. P.L. Sharma	1977-1991
7	Prof. S.K. Shrivastava	1991-1992
8	Dr. S.N. Maheshwari	1992-1993
9	Dr. K.C. Shrivastava	1993-1994
10	Prof. R.K. Jain	1994-2000, 2005-2006
11	Prof. Ram Prasad	2000-2005, 2006-2008
12	Prof. R.K. Namdeo	2009-2012
13	Prof. R.S. Singh	2012-2016

Vision:

To attain peaks of excellence of expertise in the dissemination of knowledge and learning with a view to develop global competencies and contribute to national development by generating trained manpower.
To train and aware the eager learners of the society with the basics of knowledge of reasoning and logic that help them to develop their own understandings.

Mission:

The department of Mathematics and Statistics will achieve overall educational, social, economic, and cultural upliftment of under-privileged people of rural and backward area. It will promote value based and job-oriented education, together with the high quality of learning and research in the technologically enabled environment with regional, national and global perspectives.
The Department has submitted a proposal to establish a Centre of Vedic Mathematics.
The department will be developed as the excellent center for the promotion of research and teaching in mathematics and statistics, so that we fulfill the conception made by the founder - as a world class university.

Distinguished Features / Achievements:

During five years, we have following achievements:

Department has received 30 lakhs from UGC as Start-up grant and 36.86 lakhs from DST as project grant.
Some faculty members as conveners have received Rs. 1,06,400 from National centre for Mathematics (A joint venture of TIFR and IITB).
Some faculty members as conveners have received a partial support of Rs. 60,000/- as a sponsorship from IoP publishing, Balani group and Pearson India for organizing an International conference.
As a reflection of inculcation of mathematical and Statistical learning, so far seventeen students have qualified CSIR-UGC (JRF/NET)/GATE /SET.
Five students are placed through MPPSC as an Assistant Professor.
Faculty members of our Department are doing collaborative research with IIT - Dhanbad, IISER Bhopal, Alioune Diop De Bambey, Senegal.
An invited lecture on topic “Prime Numbers” was delivered by a renowned mathematician FRSC Prof. Ram Murti, Queen’s university Canada on 30 August, 2016.
Recently some renowned Mathematicians and Statisticians like Prof. S. P. Dixit, Prof. H. P. Singh, Prof. P. N. Pandey, Prof. V. K. Saxena, Prof. S. S. Pandey, Prof. S. P. Yadav, Prof. Rambabu Mishra, Prof. K. R. Pardasani, and Prof. D. K. Dey , Prof. V.N. Mishra , Dr. Sanjay Singh ,Dr. G. Vishwakarma, visited our Department for academic cum administrative purposes.

Uniqueness of the Department:

Our department is the oldest department of this university as well as Madhya Pradesh (Established in 1946).
The Department has established an Advanced Mathematical Lab equipped with MATLAB, Mathematica, and SPSS.
The Department has established a modern seminar hall named as the Ramanujan Seminar Hall having the capacity of 120 chairs.
Our department has a remarkable strength of faculty members working in the diversified areas like Algebra, Differential Geometry, Functional Analysis, General Relativity and Cosmology , Inference, Mathematical Biology, Mathematical Finance, Optimization Theory and Operations Research, Sampling Techniques, and Stochastic Processes etc.
We have a Vedic Mathematics Center and at present a certificate course is running on Vedic Mathematics.

Recognized contribution:

During last five years, faculties of this department published 39 research papers in UGC Care list / SCI /Scopus indexed journals.
Our faculty members have served as subject experts in various selection boards of Universities as well as Public Service Commissions .

2. Curricular Aspects:

Courses offered:

The Department offers UG, PG, Ph.D. degrees and a certificate course in Vedic Mathematics .

Programme	Group	Credit	Duration	Intake
B.Sc.	1. Mathematics, Physics & Chemistry 2. Mathematics, Statistics & Physics 3. Mathematics, Statistics & Economics 4. Mathematics, Physics & Applied Geology 5.Mathematics, Chemistry & Applied Geology	44*	6 Semesters	244
B.A.	Mathematics & other two papers in B.A. subjects	44*	6 Semesters	12
B.A.	Statistics & other two papers in B.A. subjects	44*	6 Semesters	12

* Credits stands for Mathematics subject only.

Programme

Group

Credit

Duration

Intake

M.Sc.

Mathematics

4 Semesters

Certificate Course

Programme

Credit

Duration

Intake

Certificate Course in

Vedic Mathematics

1 Semester

Ph.D.

Programme

Research Area

Credit

Duration

Ph.D.

· Algebra

· Applications of Differential equations

· Differential Geometry

· Functional Analysis

· Fixed Point Theory

· General Relativity and Cosmology

· Geometric Functional Analysis

· Inference

· Mathematical Finance

· Mathematical Biology

· Numerical Methods

· Operations Research

· Optimization Theory

· Sampling Theory

· Stochastic Processes

20**

6 Semesters

** Credit stands for Ph. D. course work of one Semester.

Our programmes of study for Under Graduate, Post graduate and Ph.D in Mathematics are now based on more industry oriented learning objectives. We have been continuously evolving our syllabus for greater employability and skill enhancement of our students.

Since 2011, we have adopted the Pattern of choice-based credit system (CBCS) embedded semester system. The revision of syllabus have continuously been taken place from time to time.

Syllabus for Academic Session 2015-16

Summary of Under Graduate Courses in Mathematics

Course Name	Paper Code	Title of Paper	Credit
B. Sc. Sem-I	MTS C 111	Algebra & Matrix Theory	2
	MTS C 112	Differential & Integral Calculus	2
	MTS C 113	Vector Calculus	2
B. Sc. Sem-II	MTS C 211	Trigonometry & Abstract Algebra	2
	MTS C 212	Ordinary Differential Equations	2
	MTS C 213	Geometry	2
B. Sc. Sem-III	MTS C 311	Advanced Calculus-I	2
	MTS C 312	Differential Equations – I	2
	MTS C 313	Statics	2
B. Sc. Sem-IV	MTS C 411	Advanced Calculus-II	2
	MTS C 412	Differential Equations-II	2
	MTS C 413	Dynamics	2
B. Sc. Sem-V	MTS C 511	Real and Complex Analysis	2
	MTS C 512	Abstract Algebra-I	2
	MTS E 511	Discrete Mathematics-I	2
	MTS E 512	Differential Geometry-I	2
B. Sc. Sem-VI	MTS C 611	Metric spaces	2
	MTS C 612	Abstract Algebra – II	2
	MTS E 611	Discrete Mathematics-II	2
	MTS E 612	Differential Geometry-II	2

Syllabus for Academic Session 2015-16

Summary of Under Graduate Courses in Statistics

Course Name	Paper Code	Title of Paper	Credit
B. Sc. Sem-I	MTS C 114	Descriptive Statistics-I	2
	MTS C 115	Probability Theory-I	2
	MTS C 116	Statistics Practical	2
B. Sc. Sem-II	MTS C 214	Descriptive Statistics-II	2
	MTS C 215	Probability Theory-II	2
	MTS C 216	Statistics Practical	2
B. Sc. Sem-III	MTS C 314	Statistical Methods	2
	MTS C 315	Sample Surveys	2
	MTS C 316	Statistics Practical	2
B. Sc. Sem-IV	MTS C 414	Testing Methods	2
	MTS C 415	Design of Experiments	2
	MTS C 416	Statistics Practical	2
B. Sc. Sem-V	MTS C 514	Economic Statistics	2
	MTS C 515	SQC and Computational Statistics	2
	MTS C 516	Statistics Practical	2
B. Sc. Sem-VI	MTS C 614	Vital & Psychological Statistics	2
	MTS C 615	Operations Research	2
	MTS C 616	Statistics Practical	2

Syllabus for Academic Session 2015-16

Summary of Post Graduate Courses in Mathematics

Course Name	Paper Code	Title of Paper		Credit
M. Sc. Sem-I	MTS C 121	Advanced Abstract Algebra-I		4
	MTS C 122	Real Analysis-I		4
	MTS C 123	Topology-I		4
	MTS C 124	Complex Analysis-I		4
Opt any one out of the following two elective courses
M. Sc. Sem-I	MTS E 121	Advanced Discrete Mathematics-I		3
	MTS E 122^@	Advanced Numerical Methods-I		3
M. Sc. Sem-II	MTS C 221	Advanced Abstract Algebra-II	4
	MTS C 222	Real Analysis-II	4
	MTS C 223	Topology-II	4
	MTS C 224	Complex Analysis -II	4
Opt only one from the following two, which was opted in I semester
M. Sc. Sem-II	MTS E 221	Advanced Discrete Mathematics-II		3
	MTS E 222^@	Advanced Numerical Methods-II		3
M. Sc. Sem-III	MTS C 321	Functional Analysis		4
	MTS C 322	Integral Equations and boundary value problems-I		4
	MTS C 323	Advanced Functional Analysis-I		4
	MTS C 324	Operations Research –I		4
Opt any one out of the following three elective courses
M. Sc. Sem-III	MTS E 321	Programming in C (ANSI features)-I	3
	MTS E 322^**	Wavelet Analysis –I	3
	MTS E 323^**	General Relativity –I	3
M. Sc. Sem-IV	MTS C 421	Integration theory	4
	MTS C 422	Integral Equations and Boundary Value Problems-II	4
	MTS C 423	Advanced Functional Analysis-II	4
	MTS C 424	Operations Research –II	4
Opt only one from the following three, which was opted in III semester
M. Sc. Sem-IV	MTS E 421	Programming in C (ANSI features)II	3
	MTS E 422^**	Wavelet Analysis –II	3
	MTS E 423^**	General Relativity –II	3
M.A. / M.Sc.–I / III Sem*	MTS OE 121 / 321	PG Mathematics-I	3
M.A. / M.Sc.–II / IVSem*	MTS OE 222 / 422	PG Mathematics-II	3

*Note : This elective course is only for those PG-students who had not studied mathematics, statistics in UG classes

^@This elective paper may be opted by MCA students.

** This elective paper may be opted by M. Sc. Physics students.

Syllabus for Academic Session 2015-16

Ph. D. Course Work in Mathematics/ Statistics

S. No.	Paper Code	Title of Paper	Credit
1	MTS-C-141	Research Methodology with Computer Applications	4
2	MTS-C-142	History of Mathematics and Modeling	4
3	MTS-C-143	Review of Published Research Work	8
	Opt any one
4	MTS-E-1401	Category Theory	4
5	MTS-E-1402	Fixed Point Theory and Application	4
6	MTS-E-1403	Calculus on Manifolds	4
7	MTS-E-1404	Theory of Linear Operators	4
8	MTS-E-1405	Advanced Numerical Analysis	4
9	MTS-E-1406	Inventory Modelling and Optimization	4
10	MTS-E-1407	Nonlinear Analysis and Optimization	4
11	MTS-E-1408	General Relativity and Cosmology	4
12	MTS-E-1409	Mathematical Modelling in Biological Systems	4
13	MTS-E-1410	Advanced Sampling & Modeling of Computer System	4
14	MTS-E-1411	Theory of Estimation and Testing	4

Percentage of new courses introduced of the total number of courses across of all programmes offered:

In 2016, we had adopted a new pattern of five unit division of syllabus for UG/PG program as per DoAA instruction which was passed in APC. The revised syllabus interlay changed of B.Sc.-I and B.Sc.-II semesters, hence the syllabus revised 34% of the whole. The new pattern of syllabus is helpful to learning the subject in object oriented way. These changes are mentioned below.

B.Sc./ B.A. Mathematics (Incorporated in the BoS held on 09.05.2016)

Semester	Code	Course Title	Credit
1	MTS-C-111	Differential Calculus	6
2	MTS-C-211	Differential Equations	6

B.A./ B.Sc. Statistics(Incorporated in the BoS held on 09.05.2016)

Semester	Code	Course Title	Credit
1	STAT-C-111	Descriptive Statistics	4
1	STAT-C-112	Practical: Descriptive Statistics	2
2	STAT-C-211	Probability and Probability Distributions	4
2	STAT-C-212	Practical: Probability and Probability Distributions	2

Percentage of programmes in which CBCS/Elective course system have been implemented :
In the same BoS meeting held on 09.05.2016, Advanced functional Analysis-I and Advanced functional Analysis-II were replaced with new papers “ Dynamical System and Mathematical Biology –I, and Dynamical System and Mathematical Biology –II” in M.Sc. III and IV semester (Mathematics) respectively. So, we have implemented 10% elective courses in PG programme.
As per UGC guidelines, we have changed the pattern of whole syllabus (100%).
In the Bos meetings held on 09.3.2017 and 27.09.2017 again thorough revision of syllabi of some papers took place. The existing course content is available now is given below.

B.Sc.\ B.A. with Mathematics

Semester	Code	Course Title	Credit
1	MTS CC 111	Differential Calculus	6
2	MTS CC 211	Differential Equations	6
3	MTS CC 311	Real Analysis	6
	MTS SE 311	Logic and Sets	2
	MTS SE 312	Analytical Geometry	2
	MTS SE 313	Integral Calculus	2
4	MTS CC 411	Algebra	6
	MTS SE 411	Vector Calculus	2
	MTS SE 412	Theory of Equations	2
	MTS SE413	Number Theory	2
5	MTS SE 511	Probability and Statistics	2
	MTS SE 512	Mathematical Finance	2
	MTS SE 513	Mathematical Modeling	2
	MTS EC 511	Matrices	6
	MTS EC 512	Mechanics	6
	MTS EC 513	Linear Algebra	6
6	MTS SE 611	Boolean Algebra	2
	MTS SE 612	Transportation and Game Theory	2
	MTS SE 613	Graph Theory	2
	MTS EC 611	Numerical Methods	6
	MTS EC 612	Complex Analysis	6
	MTS EC 613	Linear Programming	6

NOTE:-

Papers of CODE CC are compulsory in Semesters 1 to 4.
Choose any one paper of CODE SE in semesters 3 to 6.
Choose any one paper of CODE EC in semesters 5 and 6.

B.Sc.\ B.A. with Statistics

Semester	Code	Course Title	Credit
1	STAT-CC-111	Descriptive Statistics	4
1	STAT-CC-112	Practical: Descriptive Statistics	2
2	STAT-CC-211	Probability and Probability Distributions	4
2	STAT-CC-212	Practical: Probability and Probability Distributions	2
3	STAT-CC-311	Sampling Theory & Distributions	4
	STAT-CC-312	Practical Work	2
	STAT-SE-311	Portfolio Optimization	2
	STAT-SE-312	Mathematical Analysis-I	2
4	STAT-CC-411	Statistical Inference	4
	STAT-CC-412	Practical Work	2
	STAT-SE-411	Mathematical Finance	2
	STAT-SE-412	Mathematical Analysis-II	2
5	STAT-SE-511	Introduction to Operations Research	2
	STAT-SE-512	Calculus-I	2
	STAT-EC-511	Financial Statistics	4
	STAT-EC-512	Practical Work	2
6	STAT-SE-611	Econometrics	2
	STAT-SE-612	Calculus-II	2
	STAT-EC-611	Design of Experiments	4
	STAT-EC-612	Practical Work	2

NOTE: -

Papers of CODE CC are compulsory in Semesters 1 to 4.
Choose any one paper of CODE SE in semesters 3 to 6.
Choose both papers of CODE EC in semesters 5 and 6.

Academic Session 2017-2018

Post Graduate Course in Mathematics

Course Name

Paper Code

Title of Paper

Credit

M. Sc. Sem-I

MTS CC 121

Advanced Abstract Algebra-I

M. Sc. Sem-I

MTS CC 122

Real Analysis-I

M. Sc. Sem-I

MTS CC 123

Topology-I

M. Sc. Sem-I

MTS CC 124

Complex Analysis-I

Opt any one out of the following two elective courses

M. Sc. Sem-I

MTS EC 121

Probability Theory & Inference

M. Sc. Sem-I

MTS EC 122

Advanced Numerical Methods-I

M. Sc. Sem-II

MTS CC 221

Advanced Abstract Algebra-II

M. Sc. Sem-II

MTS CC 222

Real Analysis-II

M. Sc. Sem-II

MTS CC 223

Topology-II

M. Sc. Sem-II

MTS CC 224

Complex Analysis -II

Opt any one from the following two, which was opted in Sem-I

M. Sc. Sem-II

MTS EC 221

Mathematical Finance

M. Sc. Sem-II

MTS EC 222

Advanced Numerical Methods-II

Course Name

Paper Code

Title of Paper

Credit

M. Sc. Sem-III

MTS CC 321

Functional Analysis

M. Sc. Sem-III

MTS CC 322

Integral Equations and Boundary Value Problems-I

M. Sc. Sem-III

MTS CC 323

Mathematical Biology - I

M. Sc. Sem-III

MTS CC 324

Operations Research –I

Opt any one out of the following two elective courses

M. Sc. Sem-III

MTS EC 321

Differential Geometry

M. Sc. Sem-III

MTS EC 322

Analytic Number Theory-I

PG Mathematics

Sem – III (OD)

MTS OE 321

Elementary Statistics

M. Sc. Sem-IV

MTS CC 421

Integration theory

M. Sc. Sem-IV

MTS CC 422

Integral Equations and Boundary Value Problems-II

M. Sc. Sem-IV

MTS CC 423

Mathematical Biology - II

M. Sc. Sem-IV

MTS CC 424

Operations Research –II

Opt only one from the following two, which was opted in III semester

M. Sc. Sem-IV

MTS EC 421

MATLAB & Dynamical Systems

M. Sc. Sem-IV

MTS EC 422

Analytic Number Theory-II

PG Mathematics

Sem – IV

MTS OE 421

Elementary Mathematics

Syllabus for Certificate course in Vedic Mathematics

S.No.	Paper Code	Title of Paper	Credit
1	VDM OE 101	Vedic Arithmetic	2
2	VDM OE 102	Vedic Algebra	2
3	VDM OE 103	Vedic Geometry	2
4	VDM OE 104	Assignment & Presentation Work	2

The Code of compulsory and elective papers for Ph.D. Course work for session 2018-19 and onward in Board of Studies held on 08.6.2018

Ph. D. Course Work in Mathematics

S. No.	Paper Code	Title of Paper	Credit
1	MTS-CC-141	Research Methodology with Computer Applications	4
2	MTS-CC-142	History of Mathematics and Modeling	4
3	MTS-CC-143	Review of Published Research Work	8
	Opt any one amongst following
4	MTS-EC-1401	Mathematical Finance	4
5	MTS-EC-1402	Fixed Point Theory and Application	4
6	MTS-EC-1403	Mathematical Modelling in Biological Systems	4
7	MTS-EC-1404	Calculus on Manifolds	4
8	MTS-EC-1405	Theory of Linear Operators	4
9	MTS-EC-1406	Advanced Numerical Analysis	4
10	MTS-EC-1407	Inventory Modelling and Optimization	4
11	MTS-EC-1408	Nonlinear Analysis and Optimization	4
12	MTS-EC-1409	General Relativity and Cosmology	4
13	MTS-EC-1410	Advanced Sampling & Modeling of Computer System	4
14	MTS-EC-1411	Theory of Estimation and Testing	4

(Incorporated in the BoS held on 28.02.2019)

Syllabus for Academic Session 2019-2020 onwards

Post Graduate Courses in Mathematics

I SEM	Course Name	Paper Code	Title of Paper	Credit
	M. Sc. Sem-I	MTS CC 121	Advanced Abstract Algebra-I	4
		MTS CC 122	Real Analysis	4
		MTS CC 123	Topology-I	4
		MTS CC 124	Complex Analysis-I	4
	Opt any one out of the following two elective courses
	M. Sc. Sem-I	MTS EC 121	Probability Theory & Inference	4
	M. Sc. Sem-I	MTS EC 122	Advanced Numerical Methods-I	4
II SEM	M. Sc. Sem-II	MTS CC 221	Advanced Abstract Algebra-II	4
		MTS CC 225	Measure Theory	4
		MTS CC 223	Topology-II	4
		MTS CC 224	Complex Analysis -II	4
	Opt any one from the following two, which was opted in Sem-I
	M. Sc. Sem-II	MTS EC 221	Mathematical Finance	4
	M. Sc. Sem-II	MTS EC 222	Advanced Numerical Methods-II	4
PG Mathematics Sem – II(OD)		MTS OE 221	Elementary Mathematics	2

Course Name		Paper Code	Title of Paper	Credit
III SEM	M. Sc. Sem-III	MTS CC 321	Functional Analysis	4
		MTS CC 322	Integral Equations and Boundary Value Problems-I	4
		MTS CC 323	Mathematical Biology - I	4
		MTS CC 324	Operations Research –I	4
	Opt any one out of the following two elective courses
	M. Sc. Sem-III	MTS EC 321	Differential Geometry	4
		MTS EC 322	Analytic Number Theory-I	4
		MTS EC 323	Advanced Discrete Mathematics-I	4
	PG Mathematics Sem – III (OD)	MTS OE 321	Elementary Statistics	2
IV SEM	M. Sc. Sem-IV	MTS CC 421	Integration theory	4
	M. Sc. Sem-IV	MTS CC 422	Integral Equations and Boundary Value Problems-II	4
		MTS CC 423	Mathematical Biology - II	4
		MTS CC 424	Operations Research –II	4
	Opt only one from the following two, which was opted in III semester
	M. Sc. Sem-IV	MTS EC 421	MATLAB & Dynamical Systems	4
		MTS EC 422	Analytic Number Theory-II	4
		MTS EC 423	Advanced Discrete Mathematics-II	4

(Incorporated in the Board of Studies held on 06.11.2019)

Academic Session 2020-2021 onwards

B.Sc.\ B.A. with Mathematics

As per LOCF - UGC guidelines, the whole syllabus of UG Mathematics (100%) is changed.

Semester	Code	Course Title	Credit
1	MTS CC 111	Calculus	6
2	MTS CC 211	Algebra	6
3	MTS CC 311	Differential Equations	6
	MTS SE 311	Logic and Sets	2
	MTS SE 312	Analytical Geometry	2
	MTS SE 313	Integral Calculus	2
4	MTS CC 411	Real Analysis	6
	MTS SE 411	Vector Calculus	2
	MTS SE 412	Theory of Equations	2
	MTS SE 413	Number Theory	2
5	MTS EC 511	Mechanics	6
	MTS EC 512	Probability and Statistics	6
	MTS EC 513	Numerical Methods	6
	MTS EC 514	Complex Variables	6
	MTS EC 515	Linear Algebra	6
	MTS EC 516	Integral Transforms and Fourier Analysis	6
	MTS SE 511	Portfolio Optimization	2
	MTS SE 512	Mathematical Modeling	2
	MTS SE 513	Boolean Algebra	2
6	MTS EC 611	Discrete Mathematics	6
	MTS EC 612	Linear Programming and Game Theory	6
	MTS EC 613	Tensors and Differential Geometry	6
	MTS EC 614	Number Theory	6
	MTS EC 615	Advanced Mechanics	6
	MTS EC 616	Information Theory and Coding	6
	MTS EC 617	Special Theory of Relativity	6
	MTS EC 618	C++ Programming for Mathematics	6
	MTS SE 611	Mathematical Finance	2
	MTS SE 612	MATLAB	2
	MTS SE 613	Graph Theory	2

NOTE :-

Papers of CODE CC are compulsory in Semesters 1 to 4.
Choose any one paper of CODE SE in semesters 3 to 6.
Choose any one paper of CODE EC in semesters 5 and 6.

Curricula developed and implemented and course/programme outcomes :

Revised syllabus has following outcomes:

To qualify the NET/SET/GATE/Competitive exam/Entrance Exams of IITs, IISERs, and ISIs.
Acquisition of concrete knowledge and skills.
Developing the ability to reason systematically about critical questions.
To place facts in a broader context.
To communicate knowledge and questions effectively.
To nurture habits that promotes lifelong learning behaviors outside the formal settings.
Developing the skills of analysis synthesis and argumentation.

Percentage of students undertaking field projects/research projects/internships: 03

Teaching-Learning and Evaluation:

Faculty Members:

Designation	Sanctioned	Existing
Professor	01	02
Associate Professor	04	-
Assistant Professor	08	09
Total	13	11

Name

Dr. Diwakar Shukla

Date of Birth: 03-06-1961

Designation

Professor

Date of holding Present Post

16-10-2006

Name of the Department and School

Department of Mathematics and Statistics

School of Mathematical and physical Sciences

Dr. H.S. Gour Vishwavidyalaya, Sagar, MP

Contact Details

Email : This email address is being protected from spambots. You need JavaScript enabled to view it.

Mobile:9425437203

Additional Responsibility in the university, if any

(1)Head, Department of Computer Science and Application

(2)Dean, School of Mathematical and Physical Sciences

(3) Prof. Incharge, IT Cell,

(4) Incharge, Central Library

(5) Incharge , Integrated University Management System (IUMS)

(5) Nodal Officer, UGC Student Grievance Portal, UGC, New Delhi

(6)Nodal Officer , Central University Portal, MHRD, New Delhi

(7)Nodal Officer , Campus Wi-Fi Service( through Rail Tel).

Educational Qualifications

(UG onwards)

B.Sc ( Phy. , Maths., Statistics), BHU, Varanasi

M.Sc. ( Statistics), BHU,Varanasi

Ph.D. ( Statistics), BHU , Varanasi

M.Tech.( Computer Science) , Devi Ahilya University, Indore

Research Area/Specialization

Sampling theory, Inventory Modeling, Graph theory, Computer Network, Operating System, Markov chain modeling, Data mining and Big data .

Awards/ Honors / Fellowship Conferred (With details thereof)

(1) Availed CSIR JRF and SRF though all India competition for Doctoral Degree-1984

(2) Awarded MPCOST Young Scientist Award-1991

(3) Awarded ISAS Young Science Medal-1991

(4) Availed UGC Career Award-1993

( 5) Visiting fellow to Ameravati University, Ameravati, Maharastra -2008

Summary of Publications

(Number only)

Research Papers

Books

Chapter in Books

Seminars/ Conferences

Proceedings

Projects

One Major

Two Minor

Name

Prof R. K. Gangele

Date of Birth: 10.12.1969

Designation

Professor

Date of holding Present Post

28.05.2013

Name of the Department and School

Mathematics and Statistics

School of Mathematical and Physical Sciences

Contact Details

Email : This email address is being protected from spambots. You need JavaScript enabled to view it.

Mobile: 9425691823

Additional Responsibility in the university, if any

Head of the Department

Educational Qualifications

(UG onwards)

M Sc. (Statistics and Mathematics). M Phil. , Ph. D.

Research Area/Specialization

Inference, Sampling theory

Awards/ Honors / Fellowship Conferred (With details thereof)

Summary of Publications

(Number only)

Research Papers

Books

Chapter in Books

Seminars/ Conferences

Proceedings

Projects

Name

Dr Uttam Kumar Khedlekar

Date of Birth: 15/07/1962

Designation

Assistant Professor Stage-3

Date of holding Present Post

2007

Name of the Department and School

Mathematics and Statistics

Contact Details

Email : This email address is being protected from spambots. You need JavaScript enabled to view it.

Mobile: 9425861689

Additional Responsibility in the university, if any

Admission cell

Educational Qualifications

(UG onwards)

B.Sc, M.Sc., NET, Ph.D.

Research Area/Specialization

Inventory Modeling-Operations Research

Awards/ Honors / Fellowship Conferred (With details thereof)

Summary of Publications

(Number only)

Research Papers

Books

Chapter in Books

Seminars/ Conferences

Proceedings

Projects

Name

Dr. K.S. Mathur

Date of Birth:17.09.1985

Designation

Assistant Professor

Date of holding Present Post

28.05.2013

Name of the Department and School

Mathematics and Statistics

School of Mathematical and Physical Sciences

Contact Details

Email : This email address is being protected from spambots. You need JavaScript enabled to view it.

Mobile: 6261612643

Additional Responsibility in the university, if any

Assistant Proctor

Educational Qualifications

(UG onwards)

M Sc., M Phil. , Ph. D. (ABV-IIITM Gwalior MP)

Research Area/Specialization

Mathematical Biology

Awards/ Honors / Fellowship Conferred (With details thereof)

First rank in M.Sc. at University Level

Summary of Publications

(Number only)

Research Papers

Books

Nil

Chapter in Books

Nil

Seminars/ Conferences

Proceedings

Projects

Name

Dr. Mahesh Kumar Yadav

Date of Birth: 20.04.1976

Designation

Assistant Professor

Date of holding Present Post

28.05.2013

Name of the Department and School

Department of Mathematics and Statistics

School of Mathematical and Physical Sciences

Contact Details

Email : This email address is being protected from spambots. You need JavaScript enabled to view it.

Mobile: 9829199670

Additional Responsibility in the university, if any

Educational Qualifications

(UG onwards)

M Sc., M Phil., Ph. D.

Research Area/Specialization

General Relativity and Cosmology

Awards/ Honors / Fellowship Conferred (With details thereof)

Summary of Publications

(Number only)

Research Papers

Books

Chapter in Books

Seminars/ Conferences

Proceedings

Projects

Name

Dr. Punam Gupta

Date of Birth:21/01/1986

Designation

Assistant Professor

Date of holding Present Post

13/06/2013

Name of the Department and School

Department of Mathematics & Statistics,

School of mathematical & Physical Sciences

Contact Details

Email :This email address is being protected from spambots. You need JavaScript enabled to view it.

Mobile:9907452035

Additional Responsibility in the university, if any

Educational Qualifications

(UG onwards)

2007, M.Sc. (Mathematics), Banaras Hindu University (BHU), Varanasi, India

2011, Ph.D. (Mathematics), Banaras Hindu University (BHU), Varanasi, India

Research Area/Specialization

Differential Geometry

Awards/ Honors / Fellowship Conferred (With details thereof)

2008 Recipient of Chancellor Medal securing highest marks throughout Banaras Hindu University, India.

2008 Recipient of BHU medal for securing highest marks in Faculty of Science, Banaras Hindu University, India.

2008 Recipient of V.V. Narlikar Medal for securing highest marks in M.A./M.Sc. Mathematics Examination, Banaras Hindu University, India.

2008 Recipient of S.C. De Medal for securing highest marks in M.A./M.Sc. Mathematics Examination, Banaras Hindu University, India

2008 Recipient of Jawaharlal Nehru Memorial Fund Merit Award, New Delhi, India.

2008 Qualified the Joint CSIR-UGC National Eligibility Test for Eligibility for Lectureship (Dec-2007) with NET-LS, conducted (jointly) by Council of Scientific and Industrial Research (CSIR) and University Grants Commission (UGC), India.

2008 Qualified the Joint CSIR-UGC National Eligibility Test for Junior Research Fellowship and Eligibility for Lectureship (June-2008) with CSIR JRF, conducted (jointly) by Council of Scientific and Industrial Research (CSIR) and University Grants Commission (UGC), India.

2008 Shyama Prasad Mukherjee (SPM) Call through joint CSIR-UGC National Eligibility Test for Junior Research Fellowship and Eligibility for Lectureship with CSIR JRF, conducted (jointly) by Council of Scientific and Industrial Research (CSIR) and University Grants Commission (UGC), India.

2003 Recipient of one term Scholarship from Uttar Pradesh Government for securing highest marks in B.Sc. I among all three faculty (Science, Commerce, Art).

Summary of Publications

(Number only)

Research Papers

Books

Chapter in Books

Seminars/ Conferences

Proceedings

Projects

Name

DR. TRILOKI NATH

Date of Birth: 10/07/1979

Designation

ASSISTANT PROFESSOR

Date of holding Present Post

26/06/2013

Name of the Department and School

MATHEMATICS AND STATISTICS

SCHOOL OF MATHEMATICAL & PHYSICAL SCIENCES

Contact Details

Email : This email address is being protected from spambots. You need JavaScript enabled to view it.

Mobile:7747972623, 8839984688

Additional Responsibility in the university, if any

Educational Qualifications

(UG onwards)

B.Sc., M.Sc., Ph. D. CSIR-NET(JRF), GATE (AIR-04, 99.86 percentile)

Research Area/Specialization

OPTIMIZATION THEORY AND GOMETRY OF BANACH SPACES

Awards/ Honors / Fellowship Conferred (With details thereof)

CSIR-JRF, SRF

Summary of Publications

(Number only)

Research Papers

Books

Chapter in Books

Seminars/ Conferences

Proceedings

Projects

Name

Dr. Sudhanshu Kumar

Date of Birth: 01/03/1980

Designation

Assistant Professor

Date of holding Present Post

21/06/2013

Name of the Department and School

Mathematics and Statistics

School of Mathematical and Physical Sciences

Contact Details

Email: This email address is being protected from spambots. You need JavaScript enabled to view it.

Mobile: 8982362879

Additional Responsibility in the university, if any

Educational Qualifications

(UG onwards)

B. Sc.- Vinoba Bhave University, Hazaribag;

M.Sc. in Mathematics- Banaras Hindu University, Varanasi;

Ph. D. in Mathematics- Indian Institute of Technology, Kharagpur

Research Area/Specialization

Functional Analysis

Awards/ Honors / Fellowship Conferred (With details thereof)

Summary of Publications

(Number only)

Research Papers

Books

Chapter in Books

Seminars/ Conferences

Proceedings

Projects

Name

Dr Ram Kishor Pandey

Date of Birth: 11/07/1982

Designation

Assistant Professor

Date of holding Present Post

30/09/2013

Name of the Department and School

Mathematics and Statistics, School of Mathematical and Physical Sciences

Contact Details

Email :This email address is being protected from spambots. You need JavaScript enabled to view it.; This email address is being protected from spambots. You need JavaScript enabled to view it.

Mobile:09455543081

Additional Responsibility in the university, if any

Educational Qualifications

(UG onwards)

B. Sc., M. Sc. (Chancellor Gold Medalist), Ph. D. (IIT BHU)

Research Area/Specialization

Numerical Analysis; Differential and Integral Equations; Fractional calculus

Awards/ Honors / Fellowship Conferred (With details thereof)

Chancellor Gold Medalist (M. Sc.)

CSIR (JRF & SRF)

Summary of Publications

(Number only)

Research Papers

Books

Chapter in Books

Seminars/ Conferences

Proceedings

Projects

03 (Paper/Poster Presentation)

Name

Dr. Kavita Shrivastava

Date of Birth: 9^th August 1980

Designation

Assistant Professor

Date of holding Present Post

23^rd August 2013

Name of the Department and School

Department of Mathematics & Statistics

Contact Details

Email : This email address is being protected from spambots. You need JavaScript enabled to view it.

Mobile:8989713986

Additional Responsibility in the university, if any

Educational Qualifications

(UG onwards)

M.Sc. (Mathematics), Ph.D

Research Area/Specialization

Fixed Point Theory

Awards/ Honors / Fellowship Conferred (With details thereof)

Summary of Publications

(Number only)

Research Papers

Books

Chapter in Books

Seminars/ Conferences

Proceedings

Projects

Teaching-learning & Evaluation Process

To enhance the knowledge in different fields of Mathematics and to get exposure in the research, Faculties are always involving in workshops, conferences, seminars and schools. They are organizing many conferences and seminars, to encourage young talents of all over India even abroad.

Teaching-Learning Process:

Teachers of his department are experienced, hard working and uses different methods of teaching for understanding Mathematics in more easy way. So, students of this department are motivated develops interest forwards the Mathematics Subject.
Programming languages in computer such as Mathematica, Matlab, later etc. for M.Sc. Students are taught, which are most useful for the future study of students.
Smart class rooms are there for teaching the undergraduate and post-graduate students of this department.
MHRD Channels are running in Ramanujan Seminar hall for students in the department, which are helpful for the study of students.
During covid-2019, teachers of this department were taking classes through online mode with the help of Google Meet.
Department has a library and computer lab for Research Scholar and M.Sc. Students.

Library Advanced Computer Lab

Conference/Seminar/Workshops (organized)

Virtual Teacher’s Enrichment Workshop on “Algebra & Multivariate Calculus for Science & Engineering Teachers” NCM-INSA, 8 Jan-14 Feb, 2021.
Short-Term Course on ‘Use of MATLAB in Research’, 18-23 January, 2021 organized by the UGC-HRDC, Dr. Harisingh Gour Vishwavidyalaya, Sagar, M.P.
Interdisciplinary Refresher Course on ‘Mathematical Modeling in Social

Sciences’, 3-15 February, 2021 organized by the UGC-HRDC, Dr. Harisingh Gour Vishwavidyalaya, Sagar, M.P.

International Webinar on Recent Trends in Algebraic & Differential Geometry, 15-16 June, 2020.
Two Days National Webinar on Mathematical Modeling in Biological Sciences, 5-6 June, 2020.
Two Days International Webinar on Advanced Materials and their applications, 16-17 June, 2020.
Refresher Course on ‘Data Analysis Using Statistical Methods’, 06-19 August, 2020 organized by the UGC-HRDC, Dr. Harisingh Gour Vishwavidyalaya, Sagar, M.P.
International Conference held at Department of Mathematics& Statistics, Dr. Harisingh Gour Vishwavidyalaya, Sagar (M.P.), 12th-14th Dec., 2019.
One day workshop on the occasion of Ramanujan’s Birthday, 22 December, 2018.
National Workshop on Vedic Mathematics held at Department of Mathematics& Statistics, Dr. Harisingh Gour Vishwavidyalaya, Sagar (M.P.), January 06-07, 2017.
National Conference on Sustainable Development, 23-24 March,2017.
One day workshop on National Mathematics Day, 22 Dec, 2016.
National Science Day celebration 2016.

Evaluation Process

To monitor the outcomes of learning of students, the evaluation process is an integral part of the curriculum. Periodical exams and tests are considered for the performance evaluation. The distribution and allocation of marks is a main tool to measure their potential. The following distribution pattern is adopted in the department.

The maximum marks allotted for each paper of the course taught in this department is 100 out of 100 marks, 40 marks and 60 marks are assigned for the internal and external examinations, respectively.

In the internal marks, 40 marks are distributed as follows:

Mid-Semester Examination – 20 marks.
Evaluation of the assignment, presentation, Viva and group discussion assigned by the course co-ordinator – 15 marks.
Class attendance of the students – 05 marks.

End semester examination conducted by the University in centralized mode for 60 marks of any paper of mathematics course. Students are eligible to appear in end semester examination if they appeared in both mid-semester examination and internal assessment.

Sl. No.	Examinations	Maximum Marks (per paper) & Courses
Sl. No.	Examinations	B.Sc.	M.Sc.	Ph. D. Course-work
1	Mid-I	20	20	20
2	Internal Assessment / Mid II (Admitted in 2015 -2016 or prior to 2016-17)	15* + 5 (Attendance)	15* + 5 (Attendance)	20^#
3	End Semester Examination	60	60	60
4	Total	100	100	100

Students performance and learning outcomes: Approximate 95 %.

PG Mathematics

S.N.	Session	Intake	Received Application Form
1	2015-2016	30	156
2	2016-2017	30	115
3	2018-2019	35	115
4	2019-2020	40	102
5	2020-2021	44	129
6	2021-2022	44	64

Research, Innovations and Extension:

Thrust area of current research and department contribution:

We have faculty members of different research fields. Their thrust area of current research includes

Algebra
Applications of Differential equations
Differential Geometry
Functional Analysis
Fixed Point Theory
General Relativity and Cosmology
Geometric Functional Analysis
Inference
Mathematical Finance
Mathematical Biology
Numerical Methods
Operations Research
Optimization Theory
Sampling Theory
Stochastic Processes

Department Contributions:

Faculty members published research papers in highly reputed journals. The department has organized national and international conferences/ workshops/short-term courses/refresher courses in regular interval of time. The faculty members of the department already completed 6 major projects and running 1 major project.

Department Contributions:

Grants for Research Projects sponsored by government agencies:

Title of the Project	Nature of Project	Funding / Sponsoring Agency	Amount (Rs)	Duration		Name of Principal Investigator / Co-PI	Status
Title of the Project	Nature of Project	Funding / Sponsoring Agency	Amount (Rs)	From	To	Name of Principal Investigator / Co-PI	Status
Mathematical Modeling and analysis of vector and water–borne diseases	Major	SERB, NEW DELHI	20 lakhs	2018	2021	Dr. K.S.Mathur	Ongoing
Dynamics of mathematical epidemic models for spread of infectious diseases with media awareness, impulsive vaccination quarantine and isolation: An optimal control study	Major	SERB, NEW DELHI	16.86 lakhs	2017	2020	Dr. K.S. Mathur	Completed
Study of Pest – Natural Enemy Mathematical Models Concerning Impulsive Control	Major	UGC NEW DELHI	6 lakhs	2014	2016	Dr. K.S. Mathur	Completed
Study of Some Bianchi Cosmologies in General Relativity and Alternative Gravity	Major	UGC NEW DELHI	6 lakhs	2014	2016	Dr. M.K.Yadav	Completed
Doubly warped product in semi-Riemannian manifold	Major	UGCNEW DELHI	6 lakhs	2014	2016	Dr. P.Gupta	Completed
Variational Analysis and its Applications	Major	UGCNEW DELHI	6 lakhs	2014	2016	Dr. T. Nath	Completed
Wavelet and its Application to solve Integral Equations & Differential Equations	Major	UGC NEW DELHI	6 lakhs	2014	2016	Dr. Ashish Pathak BHU Varanasi	Completed

Research Publications and Awards, Ph.D. Awarded:

2015

UK Khedlekar, Modeling the business starting with shortages for deteriorating items, Int. J. Math 6 (11), 101-107. ISSN 2327-168X, 2327-1639, 2015.
Kunwer Singh Jatav Joydip Dhar, Global behavior and Hopf bifurcation of a stage- structured prey–predator model with maturation delay for prey and gestation delay for redator. Journal of Biological Systems, 2015, 23(01), pp.57-77
Punam Gupta, Index of pseudo-projectively symmetric semi-Riemannian manifolds, Carpathian Math. Publ., 7(2015), no. 1, 57-65.
Triloki Nath and S.R. Singh, Boundedness of certain sets of Lagrange multipliers in vector optimization, Appl. Math. Comp.271, 429-435, 2015.
Triloki Nath and S.R. Singh, Boundedness of certain sets of Lagrange multipliers in vector optimization, Appl. Math. Comp.271, 429-435, 2015.

2016

D Shukla, UK Khedlekar, Inventory model for convertible item with deterioration, in Statistics- Theory and Methods 45 (4), 1137-1147. ISSN: 0361-0926,1532-415X I.F. 0.893 (2020) Accepted 2016.
UK Khedlekar, D Shukla, A Namdeo, (2016) Pricing policy for declining demand using item preservation technology, Springer Plus 5 (1), 1-11. ISSN 2193-1801, I.F. 1.85 (2018) Accepted 2016.
Kunwer Singh Mathur and Joydip Dhar , Stability switches and bifurcation analysis of a food chain stage-structured model with impulsive pest management strategy, Neural, Parallel, and Scientific Computations, 2016, 24, pp.181-208.
Kunwer Singh Mathur , A prey-dependent consumption two-prey one predator eco-epidemic model concerning biological and chemical controls at different pulses, Journal of the Franklin Institute, 2016, 353(15), pp. 3897-3919.
M. K. Yadav, Bianchi type IX cosmological models for barotropic fluid distribution with vacuum energy density: Journal of Rajasthan Academy of Physical Sciences ISSN : 0972-6306; URL : http://raops.org.inVol.15, No.4, December, 2016, 283-290.
Shrivastava, K., Saxena, S., Fixed Point Theorem in Fuzzy Metric Space, International Journal of Mathematics Trends and Technology, 38(2), 78-81, 2016, ISSN 2231-5373.
Shrivastava, K, Some Common Fixed Point Theorems in Fuzzy metric space, International Journal of Mathematics Trends and Technology, 39(1), 53-61, 2016, ISSN 2231-5373.
Shrivastava, K., Common Fixed Point Theorems Satisfying an Implicit Relation, International Journal of Advance Research in Science and Engineering, 5(08), 206-213, 2016, ISSN 2319-8354.
Shrivastava, K, Some Common Fixed Point Theorems in Fuzzy metric space, International Research Journal of Pure Algebra, 6(10), 431-435, 2016, ISSN 2248-9037.
Shrivastava, K, A Meir-Keeler Type Fixed point Theorem, International Journal of Physics and Mathematical Science, 6(4), 16-21, 2016, ISSN 2277-2111.
Shrivastava, K, A Meir-Keeler Type Fixed point Theorem, Global Journal of Mathematics and Mathematical Sciences, 6(1), 11-18, 2016, ISSN 0972-9836.
Shrivastava, K, Common Fixed Point Theorems in Compact Fuzzy 3-Metric Spaces using an Implicit Relation, International Journal of Mathematics and Computer Research, 4(11), 1718-1722, 2016, ISSN 2320-7167
Shrivastava, K, Fixed Point Theorem in Compact Fuzzy Metric Space, International Journal of Advance Research in Science and Engineering, 5(11),194-207, 2016, ISSN 2319-8354.

2017

U Khedlekar, A Nigwal, R Tiwari, (2017), Optimal Pricing Policy for Manufacturer and Retailer Using Item Preservation Technology for deteriorating Items, Journal of Nonlinear Analysis and Optimization: Theory & Applications, 8 (1), 33-47. ISSN 1906-9685

Kunwer Singh Mathur , An eco-epidemic pest-natural enemy SI model in two patchy habitat with impulsive effect, International Journal of Applied and Computational Mathematics, 2017,3(3), pp.2671-2685
3. K. Yadav, V.C. Jain, S. Ahirwar : Bianchi type IX perfect fluid cosmological models with dark energy: Journal of Rajasthan Academy of Physical Sciences : ISSN: 0972-6306; URL: http://raops.org.in, Vol.17, No.1&2, January-June, 2018, 1-20

2018

UK Khedlekar, RK Tiwari,(2018) Decision makings in discount pricing policy for imperfect production system, Yugoslav Journal of Operations Research 29 (2), 273-293. ISSN: 0354- 0243, 2334-6043.

AR Nigwal, UK Khedlekar, (2018) Coordinations Policy for Collector, Re-manufacturer and Retailer in Decentralize Scenario with Complete Information, Advanced Modeling and Optimization 20 (1), 65-79. ISSN: 1841-4311
UK Khedlekar, RK Tiwari, (2018) Imperfect production model for sensitive demand with shortage, Reliability: Theory & Applications 13 (4 (51). ISSN 1932-2321
UK Khedlekar, A Namdeo, A Nigwal, (2018) Production inventory model with disruption considering shortage and time proportional demand, Yugoslav Journal of Operations Research 28 (1), 123-139. ISSN: 0354-0243, 2334-6043
Kunwer Singh Mathur, Prakash Narayan, Dynamics of an SVEIRS Epidemic Model with Vaccination and Saturated Incidence Rate, International Journal of Applied and Computational Mathematics ,2018, 4(5), pp 1-22.
Kunwer Singh Mathur and Joydip Dhar , Stability and permanence of an eco- epidemiological SEIN model with impulsive biological control. Computational and Applied Mathematics, 2018, 37(1), pp 675-92.
7. Punam Gupta, On compact Einstein doubly warped product manifolds, Tamkang Jour. , 49(2018), 267-275.
P. D. Shrivastava & Sudhanshu Kumar, Fine spectrum of the generalized difference operator on the sequence space , Thai Journal of Mathematics, 16 (3), 651-663, 12/2018, 1686-0209.
Rajesh K. Gautam, Dipak K. Adak, P. Bharati, Kunwer Singh Mathur, Jyoti Jhariya, Pardeep Kumar and Sarabjit Mastana Human Stature and Development with special eference to Indian Population, OIDA International Journal of sustainable Development 2018, 11(9),pp49-68.

2019

Vishwakarma, G.K., Singh, N. and Gangele, R.K., Variance estimation in the presence of measurement errors under stratified random sampling. REVSTAT-Statistical Journal, (Accepted) 2019, ISSN: 1645-6726, National Statistics Institute, Statistics Portugal. (SCI-E).
Abhishek Singh, G. Vishwakarma, R.K.Gangele, Improved predictive estimators for finite population mean using Searls technique :Journal of Statistics and Management Systems: ISSN: 0972-0510 (Print) 2169-0014 (Online)

DOI : 10.1080/09720510.2019.1630939

UK Khedlekar, RK Tiwari, (2019) Decision Making of Pricing Policies in Growing Market for Deteriorating Items, International Journal of Operations Research 16 (1), 1-12.
M.K.Yadav, S. Kumar, R.K.Gangele :Anisotropic viscous fluid cosmological models in Saez-Ballester Theory of Gravitation: Journal of Rajasthan Academy of Physical Sciences : ISSN: 0972-6306; URL: http://raops.org.in, Vol. 18, No. 1&2, 2019, 83-94.
Punam Gupta, On φ-T-symmetric (ε)-para Sasakian manifolds, Thai Jour. Math., 17(2019),343-357.
T. Nath, and A. Khare Enhanced Fritz John stationarity, new constraint qualifications and local error bound for mathematical programs with vanishing constraints. J. Math. Anal. Appl. 472(1), 1042–1077, 2019.
7. Nath and A. Khare. On an Exact Penalty Result and New Constraint Qualifications for Mathematical Programs with Vanishing Constraints. Yugoslav Journal of Operation Research. 29(3), 309–324, 2019.
A. K. Verma & Sudhanshu Kumar, Lacunary statistical convergence of order for generalized vector-valued difference sequence spaces, The Journal of Analysis, 07/2019, 2367-2501

2020

UK Khedlekar, P Singh, N Gupta, Dynamic Pricing Policy Using Preservation Technology with Stock and Price Sensitive Demand, Journal of the Indonesian Mathematical Society 26 (3), 266-274. ISSN 2086-8952, 2460-0245
A Namdeo, UK Khedlekar, P Singh, Discount pricing policy for deteriorating items under preservation technology cost and shortages, Journal of Management Analytics 7 (4), 649- 671. ISSN: 2327-0012 Online ISSN: 2327-0039
M.K.Yadav, R.K.Gangele, S. Kumar: Five dimensional Bianchi type –I viscous fluid space time with Vacuum energy density (Λ) in General Relativity : Journal of Rajasthan Academy of Physical Sciences : ISSN: 0972-6306; URL: http://raops.org.in, Vol.19, No.1&2, January- June, 2020, 13-20.
A.S. Diallo and Punam Gupta, On a deformed Riemannian extension of affine Szabó connections, Balkan J. Geom. Appl. 25 (2020), no. 2, 30-38.
Punam Gupta and A.S. Diallo, Einstein doubly warped product manifolds with a semi- symmetric metric connection, Univ. Iagel. Acta Math., 57 (2020), 7-24.
A.K. Tiwari, Amit Tripathi, Y.Singh, Punam Gupta, Doubly Semiequivelar Maps on Torus and Klein Bottle, Journal of Mathematics, Volume 2020, Year 2020, 14pp. IF 0.971.
A.S. Diallo and Punam Gupta, Four-Dimensional Semi-Riemannian Szabó Manifolds, Jour. Math. Volume 2020, Article ID 6663361, 2020. IF 0.971.
T. Nath, Differentiability of Distance Function and The Proximinal Condition implying Convexity, The J. Anal. 29 (2021) 247-261.
A. Khare and T. Nath, Improved Enhanced Fritz John condition and Constraint qualification using convexificators. RAIRO-Oper. Res. 55 (2021) S271-S288.
S Tiwari, Ram K.Pandey, H Singh, J Singh, Embedded Pseudo-Runge-Kutta Methods for First and Second Order Initial Value Problems, Science & Technology Asia, 128-141 (2020). ISSN: 2586-9000.
Shruti Tiwari, Ram K. Pandey, Exponentially fitted pseudo-Runge-Kutta method, International Journal of Computing Science and Mathematics (Inder science), 12 (2) 2020), 105-116, ISSN: 1752-5063
Shruti Tiwari, Ram K. Pandey, Revised version of exponentially fitted pseudo-Runge- Kutta Method, International Journal of Computing Science and Mathematics (Inder science), 13 (2) 2021, 116-125 (accepted June 14, 2020), ISSN: 1752-5063 .
Singh H, Kumar D and Pandey RK, An Efficient Computational Method for the Time- Space Fractional Klein-Gordon Equation, Frontier in Physics, 8: 281, 2020. Doi: 10.3389/fphy.2020.00281 [Impact Factor 3.56] ISSN: 2296-424X.
T. Singh, K. Shrivastava, A. Kumar, R. Dubey1, And Vishnu Narayan Mishra, Pattern Formation of Prey–Predator System With Schooling Behavior Via Amplitude Equation, Advances in Mathematics: Scientific Journal 9 (2020), no.11, 9697–9712, ISSN: 1857- 8365 (printed); 1857-8438 (electronic).
K. Shrivastava, S. Saxena, And Vishnu Narayan Mishra, Fixed Point Theorem In Probabilistically Convex Manger Space, Advances in Mathematics: Scientific Journal 9 (2020), no.11, 9825–9836,ISSN: 1857-8365 (printed); 1857-8438 (electronic) .
K. Shrivastava, Lakshmi Narayan Mishra, Vishnu Narayan Mishra, On Certain Sets And Fixed Point Theorem, The Aligarh Bulletin of Mathematics, Volume 39, Number 2 (2020),72-87, ISSN: 0304-9787.
P. Gupta, Index of W₂-symmetric semi-Riemannian manifolds, Jour. Int. Acad. Phy. Sci., 24(2020), no. 3, 303-311.

2021

M.K.Yadav, S. Ahirwar , R.K.Gangele : LRS Bianchi type II viscous fluid cosmological models with magnetic field in the framework of Lyra Geometry : Journal of Rajasthan Academy of Physical Sciences : ISSN: 0972-6306; URL: http://raops.org.in, Vol.20, No.1&2, January-June, 2021, 1-12.
U.K. Khedlekar, A Nigwal, NK Khedlekar, HK Patel, Integrated three layer supply chain inventory model for price sensitive and time dependent demand with suggested retail price by manufacturer, International Journal of Nonlinear Analysis and Applications 12 (1), 1135- 1152, ISSN 2008-6822.
U.K. Khedlekar, P Singh, Optimal pricing policy for ameliorating items considering time- and demand, International Journal of Modelling and Simulation, 1-15 ISSN: 0228- 6203 Online ISSN: 1925-7082
R.K. Tiwari, N.K Khedlekar, U.K. Khedlekar, Optimal pricing policy for stock dependent demand with effective investment in preservation technology, International Journal of Nonlinear Analysis and Applications 12 (2), 249-264. ISSN 2008-6822.
Punam Gupta and S.K. Singh, Vector bundles satisfying the point property, Jour. Algebra & Appl.,2021. IF 0.736.
P. Gupta and S.K. Singh, Second Order parallel tensor on generalized f.pk-space form and hyper surfaces of generalized f.pk-space form, Diff. Geom. Dyn. Sys.,23(2021), no. 3,59-66.
K. S. Mathur, P. Narayan, Dynamics of a stage-structured SI model for food adulteration with media-induced response function, Journal of Engineering Mathematics, 2021, 127(1), pp.1-21.

Total No of Ph. D Degree awarded : 07

Name of the Student

Title

Awarded

Supervisor

Dr. Anubhav Namdev

Y144720011

Development of Inventory models for Deteriorating items under cost of item preservation

2018

Dr. U.K.Khedlekar

Dr. Atma Ram Nigwal

Y16472108

Supply chain coordination for Manufacturer, Distributer and Retailer

2020

Dr. U.K.Khedlekar

Dr. Ram Kumar Tiwari

Y16472101

Decision makings in Pricing policies for Deteriorating items

2020

Dr. U.K.Khedlekar

Dr. Shruti Tiwari

Y15472003

Pseudo Runge-Kutta method with its Exponential and Symplectic Fitting

2020

Dr. R. K. Pandey

Dr. Abeka Khare

Y15472001

Enhanced Stationarity and Constraints Qualifications for mathematical programs with vanishing constraints

2020

Dr. T. Nath

Dr. Prakash Narayan

Y16472104

Mathematical Study of Sexually Transmitted Diseases: Control and Treatment

2021

Prof. R.K.Gangele

Dr. K.S.Mathur

Dr. Priyanka Singh

Y16472111

Development of Optimal Pricing Policies and Replenishments with Investment on Item Preservation Technology

2021

Dr. U.K.Khedlekar

Research Publications ( 2015 -2020)

S. No.	Faculty Details	No. of published research papers	No. of papers in international journal	No. of papers in National journal	Citation index last five years (based on google scholar)	h-index	i₁₀-index	No. of books published
1.	Prof. D. Shukla	18	4	14	418	9	9	0
2	Prof. R.K. Gangele (Head Of Department)	05	02	03	15	2	1	0
3	Dr. U.K. Khedlekar	15	15	00	105	7	3	0
4	Dr. K.S. Mathur	08	07	01	72	5	2	0
5	Dr. M.K. Yadav	05	00	05	146	5	2	0
6	Dr. Punam Gupta	08	08	00	45	4	1	0
7	Dr. Sudhanshu Kumar	05	05	00	64	4	3	0
8	Dr. T. Nath	05	05	00	6	1	0	0
9	Dr. Kavita Shrivastava)	08	08	00	02	01	0	0
10	Dr. R.K. Pandey	04	04	00	152	6	6	0
Total		81	58	23	1025

Infrastructure and Learning Resources:

The department is well structured and has good facilities for students, teachers for skill development. Some are following:

The department has a well-equipped computer lab with Mathematica, SPSS, and Matlab connected through MHRD Wi-Fi.
Two RO and water-cooler are installed for pure water supply.
There are five Air Conditioners and six air coolers in the department with.
We also have a DTH connection and one sub DTH connection for MHRD educational program broadcasting.
Two projectors, one large HD Screen and one smart board are also available with us for presentation purposes.
The Ramanujan Hall (A seminar room) with approx. 100 person capacity.
Seven classrooms for Face to face teaching learning.

Library as a learning Resources:

The departmental library has a sufficient number of text books and research monographs of Mathematics and Statistics.

IT Infrastructure:

The department also has intercom facility, CCTV surveillance system, two projectors, two large screens and one smart board installed.

	Total Computers	Computer Labs	Internet	Browsing Centres	Computer Centres	Office	Departments	Available band width (MGBPS)	Others
Existing	26	1	1	NIL	NIL	01	01	2 MBPS	NIL
Added	15	NIL	1	NIL	NIL	NIL	NIL	NIL	NIL
Total	41	1	2	NIL	NIL	01	01	128 MBPS	NIL

Student Support & Progression

Student Support

We have a Mentor mentee program in our Department.
All faculties are engaged to take special classes, extra classes and reasoning classes in Remedial classes for slow learners and/or for disadvantage learners.
All faculties are giving the guidance to students for competitive examinations.
Ragging has ruined countless innocent lives and careers. To eradicate it, the department has an Anti-Ragging cell.
To initiate, implement, and complete projects and activities which will be of help to the department, the students, the faculty, the administration and the community, every class has a class representative.
To guide each student of the department, the department has a Mentor mentee program.
To investigate the complaints lodged by any student and redress it as per requirement, the department has a Grievance Redressal cell.
The students of our department are participating in summer schools organized by IIT/IISER, advanced training schools organized by National Centre of Mathematics(joint venture of TIFR & IITB) etc.
For the better development of students, time to time, we are organizing science quiz, essay writing and other student activity.

Student progression to higher education (2015-20)

Year	Number of students enrolling into higher education	Programme graduated from	Department graduated from	Name of institution joined	Name of Programme admitted to
2015-20	21	B.Sc.	Maths & Stats.	Dr. H.S.Gour V.V. Sagar	M.Sc.
	08	M.Sc.	Maths & Stats.	Dr. H.S.Gour V.V. Sagar	Ph.D.
	Lav Kumar Singh	M.Sc.	Maths & Stats.	JNU, New Delhi	Ph.D.
	Manoj Kumar Patel	M.Sc.	Maths & Stats.	IIT B	Ph.D.
	Shiwani Kushwaha	M.Sc.	Maths & Stats.	IIIT Gwalior	Ph.D.
	V.V. Prithvi	M.Sc.	Maths & Stats.	SRM Chennai	Ph.D.
	Krishan Kumar	M.Sc.	Maths & Stats	IITM	M.Tech

Details of Student Progression NET/GATE/SET

Sr. No.	Name of Students	Name of Exam
1.	Arvind Kumar Verma	JRF, NET, GATE
2.	Lav Kumar Singh	JRF, NET
3.	Abeka Khare	NET, SLET
4.	Bhagwan Kumar	NET, GATE, CGSET
5.	Shivani Kushwaha	JRF, GATE
6.	Shivani Khare	NET, GATE, MPSET
7.	Shruti Tiwari	MPSET
8.	Himanshu Mishra	MPSET
9.	Ajit Kumar	NET
10.	Rajneesh Tripathi	NET, GATE, SET
11.	Anish Barman	MPSET
12.	Neelesh Gupta	CGSET
13.	Krishna Kumar	GATE
14.	Manoj Kumar Patel	JRF, NET, GATE
15.	Dharmendra Kumar Kushwaha	NET
16.	Vivek Kumar Gupta	CGSET
17.	Parul Suhane	CGSET

Details of Student Employed through MPPSC

S.No.	Candidate Name	Job Title	Result Notification
1.	Dr. Sweetee Mishra (Mathematics)	Assistant Professor	No/6828/21/2018/chayan,Indore Dated: 3 September,2019
2.	Abeka Khare (Mathematics)	Assistant Professor
3.	Rajneesh Tripathi (Mathematics)	Assistant Professor
4.	Dharmendra Kumar Kushwaha (Mathematics)	Assistant Professor
5.	Dr. Narendra Thakur ( Statistics)	Assistant Professor	No/6532/33/2018/chayan,Indore Dated: 27 August,2019
	Total	05

Alumni Engagement

S. No	Name	Last Deg.	Present Status	Mobile No.	Email Id
1	Prof. Ram Prasad	Ph.D.	Rtd. Prof.	9968615976	This email address is being protected from spambots. You need JavaScript enabled to view it.
2	Prof. R.K. Namdeo	Ph.D.	Rtd. Prof.	9425425578	This email address is being protected from spambots. You need JavaScript enabled to view it.
3	Prof. S.S. Pandey	Ph.D.	Ex Vice Chancellor Ujjain University	-	This email address is being protected from spambots. You need JavaScript enabled to view it.
4	Dr.S.S.Thakur	Ph.D.	Rtd. Prof.	9827444784	This email address is being protected from spambots. You need JavaScript enabled to view it.
5	Dr. Yashwant Rajput	Ph.D.	Lecturer	9753714457	This email address is being protected from spambots. You need JavaScript enabled to view it.
6	Prof. R.S.Wadbude	Ph.D.	Professor	9423054440	This email address is being protected from spambots. You need JavaScript enabled to view it.
7	Dr. M.R.Alone	Ph.D.	Assist. Prof.	9754727011	This email address is being protected from spambots. You need JavaScript enabled to view it.
8	Dr. D.S.Singh	Ph.D.	Assist. Prof.	9826481725	This email address is being protected from spambots. You need JavaScript enabled to view it.
9	Dr. Sweetee Mishra	Ph.D.	Assist. Prof.	9131923047	This email address is being protected from spambots. You need JavaScript enabled to view it.
10	Dr. Sharad Pathak	Ph.D.	Assist. Prof.	8821028668	This email address is being protected from spambots. You need JavaScript enabled to view it.
11	Dr. Sharad Gangele	Ph.D.	Assist. Prof.	9425349712	This email address is being protected from spambots. You need JavaScript enabled to view it.
12	Dr. Ramdeen Verma	Ph.D.	Teacher	7771084835	This email address is being protected from spambots. You need JavaScript enabled to view it.
13	Dr. Atmaram Nigwal	Ph.D.	Assist.Prof.	9826088624	This email address is being protected from spambots. You need JavaScript enabled to view it.
14	Dr. Abeka Khare	Ph.D.	Assist.Prof.	7225030494	This email address is being protected from spambots. You need JavaScript enabled to view it.
15	Dr. Shruti Tiwari	Ph.D.	Lecturer	8989561620	This email address is being protected from spambots. You need JavaScript enabled to view it.
16	Dr. Ram Kumar Tiwari	Ph.D.	Assist.Prof.	9589075206	This email address is being protected from spambots. You need JavaScript enabled to view it.
17	Dr. Anubhav Namdeo	Ph.D.	Guest Faculty	7509664510	This email address is being protected from spambots. You need JavaScript enabled to view it.
18	Mr. Rajneesh Tripathi	M.Sc.	Assist.Prof.	8896793801	This email address is being protected from spambots. You need JavaScript enabled to view it.
19	Mr. Dharmendra Kushwaha	M.Sc.	Assist.Prof.	9893554353	This email address is being protected from spambots. You need JavaScript enabled to view it.
20	Mr. Manoj Kumar Patel	M.Sc.	Res. Scholar	7024541831	This email address is being protected from spambots. You need JavaScript enabled to view it.
21	Dr. Mahendra Tiwari	Ph.D.	Lecturer
22	Dr. Shyam Patkar	Ph.D.	Professor
23	Dr. Narendra Thakur	Ph.D.	Assist.Prof.	9887394851

Details of Student Progression from M.Sc. to Ph. D.

Sr. No.	Name of Students	Year of Reg.	Name of Supervisor	M.Sc.	Status
1.	Abeka Khare	2015	Dr. T. Nath	Dr. Harisingh Gour V.V., Sagar	Awarded
2.	Shruti Tiwari	2015	Dr. R.K. Pandey	CSJMU Kanpur	Awarded
3.	Ramkumar Tiwari	2016	Dr. U.K. Khedlekar	Dr. Harisingh Gour V.V., Sagar	Awarded
4.	Atmaram Nigwal	2016	Dr. U.K. Khedlekar	Vikram University, Ujjain	Awarded
5.	Prakash Narayan	2016	Dr. K.S. Mathur	Dr. Harisingh Gour V.V., Sagar	Awarded
6.	Priyanka Singh	2016	Dr. U.K. Khedlekar	Dr. Harisingh Gour V.V., Sagar	Awarded
7.	Sanjeev Kumar	2016	Dr. M.K. Yadav	Dr. Harisingh Gour V.V., Sagar	Submitted
8.	Shailendra Ahirwar	2016	Prof. R.K. Gangele	Jiwaji University, Gwalior	Pre- submitted
9.	Arvind Kumar Verma	2015	Dr. S. Kumar	RMLAU Ayodhya, UP	Pre- submitted
10.	Muneshwar Hembram	2016	Dr. M.K. Yadav	IIT(ISM) Dhanbad	Pre- submitted
11.	Neelesh Gupta	2016	Dr. U.K. Khedlekar	Dr. Harisingh Gour V.V., Sagar	Pre- submitted
12.	Vivek Kumar Gupta	2016	Prof. D. Shukla	Central University of South Bihar	Ongoing
13.	Deepika Rajoriya	2016	Prof. D. Shukla	Dr. Harisingh Gour V.V., Sagar	Ongoing
14.	Bhagwan Kumar	2019	Dr. K.S. Mathur	Hyderabad University	Ongoing
15.	Shivani Khare	2018	Prof. R.K. Gangele	Dr. Harisingh Gour V.V., Sagar	Ongoing
16.	Ramkrishna Tiwari	2020	Dr. U.K. Khedlekar	Dr. Harisingh Gour V.V., Sagar	Ongoing
17.	Puran lal Prajapati	2020	Dr. R.K. Pandey	Dr. Harisingh Gour V.V., Sagar	Ongoing

Governance, Leadership and Management:

Governance of department is decentralized
managed by Head and Dean of the school. They are responsible for administration of department and school, respectively.
Admissions for UG courses are made by the Dean of school of Mathematical and Physical Sciences through counseling after university entrance and for PG course, admission is performed by the Head of the Department through counseling after university entrance. For Ph.D. course, admission is performed by the Head of the Department through counseling after university entrance followed by interview.
Finances controlled centrally by university thorough its administrative
Every class in the department has a class representative.

Institutional values and best practices:

Harisingh Gour University (formally known as Saugor University) is the first university in central India.
Our university has been graded A+ by NAAC in previous cycle.
Faculty members of the department encouraging students and staffs to participate in
Science Day,
Ramanujan Day,
Plantation,
Sanitization,
Swachh Bharat Mission.