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 .

UG

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.

 PG

Programme

                        Group

Credit

Duration

Intake

 

M.Sc.

 

 

Mathematics

 

 

80

 

 

4 Semesters

 

 

44

 

Certificate Course

Programme

Credit

        Duration

Intake

Certificate Course in

Vedic Mathematics

 

8

 

1 Semester

 

 

50

                                      

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

STAT-C-112

Practical: Descriptive Statistics

2

2

STAT-C-211

Probability and Probability Distributions

4

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:-

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

STAT-CC-112

Practical: Descriptive Statistics

2

2

STAT-CC-211

Probability and Probability Distributions

4

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: - 

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

4

 

M. Sc. Sem-I

MTS   CC 122

Real Analysis-I

4

 

M. Sc. Sem-I

MTS   CC 123

Topology-I

4

 

M. Sc. Sem-I

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

 

 

 

 

M. Sc. Sem-II

MTS   CC 221

Advanced Abstract Algebra-II

4

 

M. Sc. Sem-II

MTS   CC 222

Real Analysis-II

4

 

M. Sc. Sem-II

MTS   CC 223

Topology-II

4

 

M. Sc. Sem-II

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

 

 

Course Name

Paper Code

Title of Paper

Credit

 

 

 

 

M. Sc. Sem-III

MTS   CC 321

Functional Analysis

4

 

M. Sc. Sem-III

MTS   CC 322

Integral Equations and  Boundary Value Problems-I

4

 

M. Sc. Sem-III

MTS   CC 323

Mathematical Biology - I

4

 

M. Sc. Sem-III

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

 

M. Sc. Sem-III

MTS   EC 322

Analytic Number Theory-I

4

 

PG Mathematics

Sem – III (OD)

MTS   OE 321

Elementary Statistics

2

 

 

 

 

 

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

 

M. Sc. Sem-IV

MTS   CC 423

Mathematical Biology - II

4

 

M. Sc. Sem-IV

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

 

M. Sc. Sem-IV

MTS   EC 422

Analytic Number Theory-II

4

 

PG Mathematics

Sem – IV

MTS   OE 421

Elementary Mathematics

2

                           

 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

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

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

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 :- 

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

  1. To qualify the NET/SET/GATE/Competitive exam/Entrance Exams of IITs, IISERs, and ISIs.
  2. Acquisition of concrete knowledge and skills.
  3. Developing the ability to reason systematically about critical questions.
  4. To place facts in a broader context.
  5. To communicate knowledge and questions effectively.
  6. To nurture habits that promotes lifelong learning behaviors outside the formal settings.
  7. Developing the skills of analysis synthesis and argumentation.
  • Percentage of students undertaking field projects/research projects/internships: 03
  1. 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

  18

Books

2

Chapter in Books

5

Seminars/ Conferences

Proceedings

25

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

05

Books

00

Chapter in Books

00

Seminars/ Conferences

Proceedings

 

Projects

00

                           

 

 

                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

15

Books

00

Chapter in Books

01

Seminars/ Conferences

Proceedings

13

Projects

00

                           

 

 

 

 

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

13

Books

Nil

Chapter in Books

Nil

Seminars/ Conferences

Proceedings

01

Projects

03

 

 

 

 

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

05

Books

00

Chapter in Books

00

Seminars/ Conferences

Proceedings

00

Projects

01

                           

 

 

 

 

 

 

 

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

10

Books

00

Chapter in Books

00

Seminars/ Conferences

Proceedings

00

Projects

01

                           

 

 

                               

 

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

05

Books

00

Chapter in Books

00

Seminars/ Conferences

Proceedings

 

Projects

01

                           

 

 

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

03

Books

00

Chapter in Books

00

Seminars/ Conferences

Proceedings

02

Projects

00

                           

 

 

                               

 

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

 

 

04

 

00

 

01

 

03 (Paper/Poster   Presentation)

 

00

 

                           

                               

 

Name 

Dr. Kavita Shrivastava

Date of Birth:   9th August 1980

Designation

 Assistant Professor

Date of holding Present Post

23rd  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

   NA

Educational Qualifications

(UG onwards)

M.Sc. (Mathematics), Ph.D  

Research Area/Specialization

 Fixed Point Theory

Awards/ Honors / Fellowship Conferred (With details thereof)

NA

Summary of Publications

(Number only)

Research Papers

13

Books

00

Chapter in Books

00

Seminars/ Conferences

Proceedings

03

Projects

00

                           

 

  1. 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

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

 

 

  1. 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:

          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.

 

  • 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

From

To

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

  1. UK Khedlekar, Modeling the business starting with shortages for deteriorating items,            Int. J.  Math 6 (11), 101-107. ISSN 2327-168X, 2327-1639, 2015.
  2. 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
  3. Punam Gupta, Index of pseudo-projectively symmetric semi-Riemannian manifolds, Carpathian Math. Publ., 7(2015), no. 1, 57-65.
  4. Triloki Nath and S.R. Singh, Boundedness of certain sets of Lagrange multipliers in vector optimization, Appl. Math. Comp.271, 429-435, 2015.
  5. Triloki Nath and S.R. Singh, Boundedness of certain sets of Lagrange multipliers in vector optimization, Appl. Math. Comp.271, 429-435, 2015.

 

      2016

  1. 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.
  2.  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.
  3.  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.
  4. 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.
  5.  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.
  6.  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.
  7. 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.
  8. 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.
  9. 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.
  10. Shrivastava, K, A Meir-Keeler Type Fixed point Theorem, International Journal of Physics and Mathematical Science, 6(4), 16-21, 2016, ISSN 2277-2111.
  11. Shrivastava, K, A Meir-Keeler Type Fixed point Theorem, Global Journal of Mathematics and Mathematical Sciences, 6(1), 11-18, 2016, ISSN 0972-9836.
  12. 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
  13. 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

  1.  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 

 

  1. 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
  2. 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

  1. 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.

 

  1. 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
  2. UK Khedlekar, RK Tiwari, (2018) Imperfect production model for sensitive demand with shortage, Reliability: Theory & Applications 13 (4 (51). ISSN 1932-2321
  3. 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
  4. 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.
  5. 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.
  6. 7. Punam Gupta, On compact Einstein doubly warped product manifolds, Tamkang Jour.     , 49(2018), 267-275.
  7.  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.
  8. 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

  1. 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).
  2. 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

  1. 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.
  2.  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.
  3. Punam Gupta, On φ-T-symmetric (ε)-para Sasakian manifolds, Thai Jour. Math., 17(2019),343-357.
  4.  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.
  5. 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.
  6.  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

  1. 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
  2. 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
  3.  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.
  4.  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.
  5.  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.
  6. 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.
  7.  A.S. Diallo and Punam Gupta, Four-Dimensional Semi-Riemannian Szabó Manifolds,      Jour. Math. Volume 2020, Article ID 6663361, 2020. IF 0.971.
  8.   T. Nath, Differentiability of Distance Function and The  Proximinal Condition implying       Convexity, The J. Anal. 29  (2021) 247-261.
  9. A. Khare and T. Nath, Improved Enhanced Fritz John condition and Constraint qualification  using convexificators. RAIRO-Oper. Res. 55 (2021) S271-S288.
  10.  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.
  11.   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
  12.   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 .
  13.   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.
  14.  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).
  15. 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) .
  16.  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.
  17.  P. Gupta, Index of W2-symmetric semi-Riemannian manifolds, Jour. Int. Acad. Phy.   Sci., 24(2020), no. 3, 303-311.

 

      2021

  1. 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.
  2.  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.
  3.  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
  4. 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.
  5.  Punam Gupta and S.K. Singh, Vector bundles satisfying the point property, Jour. Algebra &  Appl.,2021. IF 0.736.
  6.  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.
  7. 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

 

 

  1. 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

     

     

     

     

     

    1. 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

  1. 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

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6

Prof. R.S.Wadbude

Ph.D.

Professor

9423054440

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7

Dr. M.R.Alone

Ph.D.

Assist. Prof.

9754727011

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8

Dr. D.S.Singh

Ph.D.

Assist. Prof.

9826481725

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9

Dr. Sweetee Mishra

Ph.D.

Assist. Prof.

9131923047

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10

Dr. Sharad Pathak

Ph.D.

Assist. Prof.

8821028668

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11

Dr. Sharad Gangele

Ph.D.

Assist. Prof.

9425349712

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12

Dr. Ramdeen Verma

Ph.D.

Teacher

7771084835

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13

Dr. Atmaram Nigwal

Ph.D.

Assist.Prof.

9826088624

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14

Dr. Abeka Khare

Ph.D.

Assist.Prof.

7225030494

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15

Dr. Shruti Tiwari

Ph.D.

Lecturer

8989561620

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16

Dr. Ram Kumar Tiwari

Ph.D.

Assist.Prof.

9589075206

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17

Dr. Anubhav Namdeo

Ph.D.

Guest Faculty

7509664510

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18

Mr. Rajneesh Tripathi

M.Sc.

Assist.Prof.

8896793801

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19

Mr. Dharmendra Kushwaha

M.Sc.

Assist.Prof.

9893554353

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20

Mr. Manoj Kumar Patel

M.Sc.

Res. Scholar

7024541831

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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

 

 

  1. 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.
  1. 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.