Department of Mathematics Govt. Digvijay P.G College, Rajnandgaon · 2019-01-14 · 1 Department of...

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Department of Mathematics

Govt. Digvijay P.G College, Rajnandgaon

DEPARTMENTAL ANNUAL REPORT

Year 2017-18

1. Year of Establishment- U.G.- 1959,P.G.- 1970

2. Thrust Area- The teachers of the department are working in the field of Fixed Point Theory and

Reliability Modeling.

3. Courses Offered- In U.G level courses offered are given below-

1. Mathematics, Physics, Chemistry

2. Mathematics, Physics, Computer Science

3. Mathematics, Physics, Industrial Chemistry

4. Mathematics, Physics, Geology

5. Mathematics, Chemistry, Anthropology.

Note:-With these groups the student can have option of Add-On course as certificate, diploma,

advanced diploma-Information Technology (I.T) and Electronic Equipment Maintenance (EEM)

4. No. of Students ( in each course)- Session 2016-17 B.Sc I - 281

B.Sc II - 161

B.Sc II I - 214

M.Sc Pre - 48

M.Sc Final - 51

5. No. of sanctioned posts - 05

Professor - 01

Assistant Professor - 04

6. No. of Teachers

1. Dr. Shabnam Khan - Prof. & Head

2. Dr. K.K. Dewangan – Asstt. Professor

3. Prof. Hemant Kumar Sao- Asstt. Professor

4. Prof. Kavita Sakure - Asstt. Professor

5. Prof. Vinay Masiyare- Asstt. Professor

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Curricular Aspects

A. Curriculum Planning and implementation

Every month, the Head of Department organizes the meeting with faculties where

discussions regarding department and their implementations are done. We prepare month-

wise teaching plan for which separate registers are maintained.

Implementation and Innovation

i. Month Wise teaching plan

The syllabus is divided into units. Every teacher plans the syllabus for the whole session at

the beginning of the session. Teaching diary is prepared by each teacher. It is checked by

Dean of Faculty and signed by the principal every month. Thus implementation of teaching

curriculum is ensured.

In July, we analyzed the results of all the B.Sc. (Maths) classes and plan for improvement

of results.

ii For improvement of result After completion of each unit, class test were taken by subject teachers of each classes.

Evaluated answer script shown to students and given feedback of students.

After completion of syllabus a Model Test were taken by covering all syllabuses.

A Model Question bank provided as per new pattern of examination.

For UG students, a revision and doubt classes were arranged and notes were provided to

them.

Model answers were provided to them.

In P.G, before practical exams we took classes where we discussed viva questions

Using ICT for quality education, NPTEL Lecture facility in e-Class room.

iii. Innovative methods used for implementation of curriculum-

Teaching is not only done by chalk-duster method but also ICT.

We motivated students to attend Spoken English free coaching which is organized by the

English department of the college.

Paper presentation by PG students is made through power point.

For teaching and learning practices students go to nearby school and taken classes at

secondary and higher secondary level students.

B. Academic Flexibility

As per UGC norms, academic flexibility is used when needed. We provide academic

flexibility to choose different combination of subjects in the admission of 1st Year of U.G level.

In B.Sc. III year, there is optional choice in paper III .We have opted Discrete Mathematics

looking for its vast application in the various field such as computer science, engineering etc and

in research work related to different field.

In order to update the existing curriculum, two optional papers in B.Sc III are introduced .These

paper have wide application in day to day life.

i) Applications of mathematics in finance and insurance

ii) Mathematical Modeling

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In P.G. level out of the long list prescribed in U.G.C curriculum we have preferred to choose

optional paper as per their importance in NET/SET and applications science, engineering and

other field

We have one optional paper Advanced Discrete Mathematics in M..Sc I and II semester which

includes (Boolean / finite state machine and graph theory) which are very important tools for

solving specific problems of science, engineering research.

Three optional papers in M.Sc III and IV semester

i) Operations Research: - Operation Research has got wide scope. It is used in many

organizations including business, industries, management, finance, production, defence etc.

Thus OR has got great scope in various fields.

ii) Programming in C (with ANSI feature) theory and practical has been included in the

syllabus in M.Sc. III and IV semester looking for its wide applications in Mathematical

analysis.

iii) Fuzzy Sets and its applications is been introduced. This paper has a great extent and is career

oriented. It is useful in research purpose.

These subjects are flexible in reference to mobility: They may join any job in research centers

or can pursue M.Phil /Ph D in applied Mathematics

C. Curriculum Enrichment

To develop I.T and electronic skills we have introduced Add-On Course in “I.T” and EEM”, along with B.Sc. course

To develop communication skills we have introduced Add-On Course Spoken English and

Creative writing along with B.Sc. course

For innovative teaching and learning ICT based teaching methods are adopted.

Credit Based Grade system (CBGS) was implemented for PG classes.

D. Feedback System Open House feedback system has been adopted and as per feedback we sort-out the

students, parents views and problems try to overcome them.

We have taken feedback from stakeholder and as per their requirement and demand we

modify our curriculum

E .Documentation- Curriculum (Board of Studies)

On 20/07/2017, Board of Studies meeting was held for approving the syllabi of UG and PG for

academic session 2017-18.

List of BOS Nominee and members

Dr. M.A. Siddique – V.C. Nominee

Dr.H.K. Pathak - Principal Nominee

Dr.S.K.Bhatt - Principal Nominee

Shri Shailesh Bakshi - Nominated member from Industry

Dr. Shabnam Khan -Head of Department

Dr. K.K Dewangan - Member

Prof. Hemant Kumar sao - Member

Prof. Kavita Sakure - - Member

Prof. Vinay Masiyare- - Member

The syllabus of B.SC I, II &III year and M.Sc I, II, III &IV, Semester was approved according

to Durg university syllabus.

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F. Enrichment Program

Special lecture by subject experts and teachers

Organize classes for NET /SET /JRF(CSIR) Examination

Organize carrier and job oriented classes.

Organize Madhav Mathematics Competitions.

G. Parent-Teacher Association Every session we arrange the Parents-Teacher meeting. In this meeting we invite guardians of

The students and they give feed backs. After this we analyze them and try to make improvement

H. Alumni: On 09/12/.17 Alumni meeting was conducted where Ex-students of M.Sc are invited

and made interaction with our student and teachers and taken their valuable feedback and

suggestions.

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I. Teaching Learning and Evaluation The Student Enrolment Profile is preserved in the departmental records.

S.No Name of Course Applications

Received

No. of Enrolled students

1. B.Sc I 500 281

2. B.Sc II 161 235

3. B.Sc III 214 124

4. M.Sc Previous 150 48

5. M.Sc Final 51 51

Admission

Admission is done on Merit basis keeping in view the Reservation policy. Preference is given to

the students who have achievements in sports, cultural, NCC, NSS, Scout/Guide and other fields.

It includes reservation to students are mostly from rural areas belonging to low and middle income

group. The medium of stud y is English. But at U.G. level Hindi is frequently used. The subject is

equally popular for both genders. Students from SC, SC, ST, and OBC also opted for this subject

with great interest.

In P.G. and U.G. classes internal test is compulsory

For continuous evaluation at the end of each unit we take unit test.

Half yearly test and After completion of syllabus there is provision of Model test

PPT presentation and Assignment is compulsory for P.G students in the topic decided

by the department

Catering to Students Diversity

Special attentions are given to the weaker students of B.Sc. by arranging remedial

classes.

Special guidance is given to advanced learners

Conducted special classes for NET/SET preparations and for competitive exams

Teaching Learning methods

Traditional methods of teaching as well as multimedia teaching methods are used

MS PowerPoint(PPT), Graphics and Flash Slide Show Software are used for teaching

and learning

The department has a very rich library with more than 800 text books as well as

reference books.

The department is equipped with internet facility, LCD, computers, scanner, printer,

photocopier etc.

Various journals are in the main library. P.G. students are encouraged to deliver

weakly seminars through power point presentation.

Apart from class room teaching question-answer session and tutorial classes are also

held for U.G. and P.G. students. Faculty members are available beyond class hours for

students.

Guest lectures are also organized for students by subject experts to improve their

knowledge in various topics.

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List of Guest Lectures

Dr. K.N. Mishra. Professor, BIT Durg,Chhattisgarh

Dr. A.S.Randhive, Professor, SOS Mathematics, GGU Bilaspur

Subject Expert Designation Topic

Dr. K.N. Mishra Professor , BIT Durg,Chhattisgarh Applications of Operations

Research

Dr. A.S.Randhive Professor, SOS Mathematics, GGU Bilaspur

Logical Study of Mathematics

Dr. D.R.Sahu Professor, Banaras Hindu University, Varanasi Applications of Advanced

Mathematics

Dr.P.Jha Professor,Govt PG College Balodabazar, C.G.

Topology and its

applications/Preparations of

NET/SET

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Dr. D.R.Sahu, Professor, Banaras Hindu University, Varanasi

Dr.P.Jha, Professor,Govt PG College Balodabazar, C.G.

News paper cutting

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Reform

For B.Sc exam pattern are changed each paper will be of 50 marks including three sections

Section A will be very short answer type question, in which 5 questions are given and each

question consist of 2 marks, Section B will be short answer type question, in which 5

questions are given and each question consist of 3 marks, Section C will be Long answer

type question, in which 5 questions are given and each question consist of 5 marks. From

this session there are 10% internal marks and 90% theory marks in each paper in B.Sc. I year

exam.

In P.G level, theory paper is of 80 marks and internal is of 20 marks .exam pattern will be of

80 marks each paper in which Section A will be very short answer type question, in which

4 questions are given and each question consist of 3 marks, Section B will be short answer

type question, in which 4 questions are given and each question consist of 5 marks, Section

C will be Long answer type question, in which 4 questions are given and each question

consist of 12 marks.

Students’ Performance and Learning Outcome

Result Analysis

B. Sc. (Mathematics) S.No Class Passing Percent

Total Pass

% Paper I Paper II Paper III

1 B.Sc I 29.5% 62.35% 49.24% 57.58%

2 B.Sc II 89.7% 61.5 70.9 80.7%

3 B.Sc III 100% 62.4% 81.6% 97.6%

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M.Sc. (Mathematics)

S.No

Class

Passing Percent

Total

Pass

%

PaperI PaperII Paper III PaperIV Paper V

1 M.Sc I Sem 81.3% 98.3% 77.9% 76.2% 98.3% 62.5

2 M.Sc II Sem 98.1% 98.1% 94.4% 94.4% 96.2% 85.19

3 M.Sc III Sem 100% 100% 100% 100% 97.6% 97.67

4 M.Sc IV Sem 97.7% 88.67% 97.7% 93.1% 97.7% 88.64

Overall Result

On analyzing we found that result of first and third paper of B.Sc I year students was not

satisfactory To improvement of result more attention will be given to Hindi medium and week

students by taking special classes, Tutorial classes and provided model question papers and made

answers .

S.N.

Class

Appeared

Total Passed

Pass %

1.

B.Sc I

264

152

57.58%

2.

B.Sc II

234 189 80.7%

3.

B.Sc III)

125 122 97.6%

4. M.Sc I Sem

54 35

64.81%

5.

M.Sc II Sem

54 46

85.18%

6.

M.Sc III Sem

43 42

97.67%

7.

M.Sc IV Sem

44 39

88.64%

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Steps taken to improve the Students’ Performance

Senior teachers engage classes for B.Sc I students and there is provision of special classes for

the supplementary students.

Tutorial and Remedial classes have been arranged for weaker students.

Efforts were made for week and brilliant students in which week students were given personal

counseling about study. Brilliant students were encouraged to use of English for broadening

their communication skills.

J. Research consultancy and extension Promotion of Research

The department is contributing a lot in research of different field of Mathematics especially in the

Fixed Point Theory and Reliability Modeling .We also promote the students for research and

extension activities and assist them to do project in mathematical science. The department

provides internet facility to all students and faculties for their research work. The faculties and

student are encouraged to participate actively and present paper, talk in different workshop,

seminar, conferences (colloquiums), etc.

Resource Mobilization for Research

In this session, for resource Mobilization for research, we got fund Rs.10 thousands from UGC

towards Research Project by the students .M.SC. Previous and final students completed one

research project in topic in Algebra and Fuzzy Sets.

Research Facilities

Our department is trying to become a center for research .Internet Facility with UGC INFLIBNET

is available for research. The Departmental Library consists of 900 books, most of which are good

reference books that help students and teachers to pursue the research work. Moreover the Internet

facility is in the department that gives them access to the material, which is not available in books.

Publications and Awards Research publication in National and International Journals/Souvenir/Abstracts were published

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Teacher’s profile

Qualifications and Achievements

S.

N Teacher’s Name Faculty Type Qualification

Seminar/

Workshop Att.

Paper

Presented

Published

Paper

Total

1 Dr. Shabnam

Khan Professor &

Head M.Sc, Ph.d 05 02 Nil

07

2

Dr. Kailash

Kumar

Dewangan

Assistant Professor

M.Sc, Ph.d 05 01 NIL

06

3 Prof. Hemant

Kumar Sao

Assistant

Professor

M.Sc, SLET

PH.D. Thesis Submitted

05

01

01

07

4 Prf. Kavita

Sakure

Assistant

Professor

M.Sc, M.Phil

04

02

01

07

5 Prof. Vinay

Masiyare

Assistant

Professor

M.Sc, NET

03

Nil

Nil

03

Dr. Shabnam Khan ( HOD)

Different Committees Member

1. Nominated by Principal of Digvijay College Rajnandgaon as the Controller of Autonomous

Examination Cell

2. Nominated by the Principal as member of Planning Board Committee of Govt. Digvijay College

Rajnandgaon

3. Members in college committees- self finance syllabus committee, Capacity building committee,

Purchase and write-off committee

Seminar/workshop/conference attended

1. National Seminar On “The Usefulness of Thoughts of Pt. Deen Dayal Upadhyaya in Present

Scenerio ” during 20-21 Dec. 2017 at Govt. Digvijay Auto. P.G. College, Rajnandgaon,

Chhattisgarh

2. National Seminar On “Cryptography and Network Security ” during 05-06 Oct. 2017 at Govt.

Nagarjuna P.G. College, Raipur, Chhattisgarh

3. Workshop on “ Karyalayeen Hindi – Swaroop evam Vishestayen” on 6th

October 2017 at Govt.

Digvijay Auto. P.G. College, Rajnandgaon, Chhattisgarh.

4. Workshop on “Innovation in examination Reform under scheme of Autonomy “on 03 Feb 2018.

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Paper presented

1. “Strong convergence theorem for accretive non self mapping with Application” in International

Conference on Mathematical Scienceand Applications during 23-25 Feb. 2017 at Guru Ghasidas

Vishwavidyalaya, Bilaspur , Chhattisgarh

2. “Extremal Solution of Nonlinear Integral Equation” in National Seminar On Advanced Research in

Physics: Its Role in Development of Society during 29 Jan. 2018 at Govt. Digvijay Auto. P.G.

College, Rajnandgaon, Chhattisgarh.

Dr. Kailash Kumar Dewangan




Chhattisgarh


Nagarjuna P.G. College, Raipur, Chhattisgarh

3. Workshop on “ Karyalayeen Hindi – Swaroop evam Vishestayen” on 6th October 2017 at Govt.



Paper presented

1. “Strong convergence theorem for accretive non self mapping with Application” in International

Conference on Mathematical Scienceand Applications during 23-25 Feb. 2017 at Guru Ghasidas

Vishwavidyalaya, Bilaspur , Chhattisgarh

2. “Extremal Solution of Nonlinear Integral Equation” in National Seminar On Advanced Research in

Physics: Its Role in Development of Society during 29 Jan. 2018 at Govt. Digvijay Auto. P.G.

College, Rajnandgaon, Chhattisgarh

Guest Lecture

1. Lecture on Uses of Mathematics at Govt. College Mohla, Ditt. Rajnandgaon.

Hemant Kumar Sao

Different Committees Member

1. Assistant Controller of Autonomous Examination Cell Nominated by Principal of Digvijay

College Rajnandgaon .

2. NSS Program officer unit-02 from Jan2018.

Paper published

1. “Economic and Performance Evaluation of Two Unit Cold Standby System with Hardware Failure

and Human Error” Intl. Journal of Applied mathematical Analysis & Application. ISSN 0973-

3868 (2017) Jan- June 2017, UGC Sr. No. 16380 in UGC Notification No.F.1-2/2016 (PS)

Amendment-10th

January 2017.

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Chhattisgarh.


Nagarjuna P.G. College, Raipur, Chhattisgarh.

3. Workshop on “ Karyalayeen Hindi – Swaroop evam Vishestayen” on 6th October 2017 at Govt.



Paper presented

1. National Seminar On Advanced Research in Physics: Its Role in Development of Society

during 29 Jan. 2018 at Govt. Digvijay Auto. P.G. College, Rajnandgaon, Chhattisgarh.

Kavita Sakure Paper published

1. Existence of Solution of Nonlinear Volterra-Hammerstein-Fredholm Integral Equation in Banach

Algebra In Asian Journal of Mathematics and Computer Research, Vol. 24(2), 96-103, 2018.




Chhattisgarh.

2. National Seminar On “Cryptography and Network Security” during 05-06 Oct. 2017 at Govt.

Nagarjuna P.G. College, Raipur, Chhattisgarh.

3. Workshop on “Different Funding Agencies and Art of Effective Writing of Research Paper and

Project”, during 27 Sep. 2017 at Govt. Digvijay Auto. P.G. College, Rajnandgaon, Chhattisgarh

Paper presented

1. “Existence of Solution of Nonlinear Functional Integral Equation via Measure of

Noncompactness and Petryshyn Fixed Point Theorem” in International Conference on

Mathematical Scienceand Applications during 23-25 Feb. 2017 at Guru Ghasidas

Vishwavidyalaya, Bilaspur , Chhattisgarh.

2. “Extremal Solution of Nonlinear Integral Equation” in National Seminar On Advanced

Research in Physics: Its Role in Development of Society during 29 Jan. 2018 at Govt. Digvijay

Auto. P.G. College, Rajnandgaon, Chhattisgarh.

Vinay Kumar Masiyare Seminar/workshop/conference attended

1. Workshop on “Different Funding Agencies and Art of Effective Writing of Research Paper and

Project”, during 27 Sep. 2017 at Govt. Digvijay Auto. P.G. College, Rajnandgaon, Chhattisgarh.

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Chhattisgarh

3. Workshop on “ Karyalayeen Hindi – Swaroop evam Vishestayen” on 6th

October 2017 at Govt.


4.

K. Extra Curricular Activity Consultancy

The department provides consultancy to other departments like Commerce, Sociology, Computer

Science etc.

Extension Activity and Institutional Social Responsibilities

The department also does extension activity through 3rd

-dimension of education (NSS).The

students participates in blood donation activities, plantation, environmental awareness program.

UGC sanction Rs. 1000/- for extension activity our M.Sc. students and faculty members. We were

visited Govt. Higher secondary School, Jangalpur Distt. Rajnandgaon, and Conducted

motivational lecture by Professors and M.Sc. previous and final year students for 11Th

and 12th

class students and counseling them for future carriers.

Environmental Audit

The department is very much concerned about the environmental maintenance in the Institute. We

celebrate Green Day every year in which the students are motivated to keep the Campus Green. The

plantation is done by them and these planted trees are taken care of by them. They contribute

physically for the maintenance of Greenery in the campus.

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Swachhata Abhiyan

Best Practices Our department with some other members of the college organizes many programs like

capacity building program under the valuable guidance of principal. 56 Students of P.G enrolled for Spoken Tutorial by IIT Bombay Video lectures arranged by IIT professor through NPTEL On 22

nd December 2017 we celebrated Ramanujan Jayanti as National Mathematics Day and

arranged motivational speech about life and work of Ramanujan. Madhav Mathematical competition conducted by the department to popularize mathematics National Science day was celebrated between 26

th to 29 February where different

Competitions were organized for students like Poster Competition and Model preparation as

per make in India theme, Quiz, Seminar competition where students participated actively and

won Prizes NDA Preparation classes for 12

th standard students.

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RAMANUJAN DAY CELEBRATION

On 22nd

December 2017 we celebrated Ramanujan Jayanti as National Mathematics Day and

Organized quiz competitions and deliver lecture by faculty members.

NET/SET Classes by Vinay Masiyare

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NDA Classes by Dr K.K. Dewangan Interdisciplinary Lecture by Hemant Sao

L. Student support and progression

Student Mentoring and Support

We motivate the students to visit the Placement Cell frequently to get information regarding job

opportunities.

The faculty members of the department help the students get prepared for various competitive

examinations and interviews.

Progression

60 % students of B.Sc III get admission in M.Sc Ist Sem

Students’ participation and Activities

Sports

S.No Name Class Sport Achievement

1. Ms. Komal

Gupta

M.Sc.IV Weight

lifting

Participated in

University level

2. Ms.Bhumika

Langiwar

B.Sc I Handball Participated in State

Level Competition

3. Roshni Sahu B.Sc.I Chess Participated in State

Level Competition

Participation in College

Total 120 students were participated in different activities conducted by the college.

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National Science Day Celebration

S.No Name Class Competitions Achievement

2. Vikas Sahu M.ScIV Sem Quiz 1rd

Prize

3. Satish Agrawal M.ScIV Sem Quiz 1rd

Prize

4. Devesh Verma M.ScIV Sem Seminar 1st

Prize

Toppers List

58 Students from B.Sc III got Scholarship of 10,000 Rs from Mahindra Finance Company:

25 students from B.sc are selected for Mukhyamantri Swalmban Yojana.

11students got training in Uddamita Vikas Karyakram

Achievements

M.Sc.IV semester Student Ms. Komal Gupta play senior national weight lifting championship in

Manglore Karntaka, and many state level weight lifting championship,

Devendra Kumar, M.Sc. IV semester nominated (Merit Basis) as president of college student

union.

Sarswati Jain, M.Sc. II Semester nominated (Merit Basis) as vice president of college student

union.

Siya Ram Verma and Umesh of M.Sc.II semester participated in NSS camp in Sundara.

Devesh verma student of M.Sc. final got first prize in seminar on the vacation National Science

Day in the college.

Vikash Sahu and Satish Agrawal student of M.Sc. IV Semester got first prize in quiz completion

on the vacation National Science Day in the college

Leadership and Management

Departmental Leadership

Dr. Shabnam Khan of our department is Controller of Autonomous cell. Prof. Hemant Kumar sao

appointed Assistant controller of autonomous cell.

Also Faculties of the department are involved in various committees like Anti-Ragging,

Admission, Discipline, Purchasing, Cultural activities, Examination Conduction, etc

Student’s Leadership

The department nominates the meritorious students according to their marks as president, vice

president, secretary, joint- secretary of mathematical council (Ganit- Parishad). To improve the

leadership quality and personality development, we constitute a working committee comprising of

every student. All responsibility lives with the students to organize every program of the

department.

S.No Name Class

1. Anita Wadhwani M.Sc Final

2. Devendra Kumar M.Sc Previous

3. Samriddhi Dewangan B.Sc III Maths

4. Manisha Yadav B.Sc IIMaths

5. Narendra Thakur B.Sc IMaths

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Strategy Development and Deployment The department regularly monitor to the infrastructure and other activities of the department after

that whenever needed we attract the attention of principal towards departmental infrastructure like

as rooms, recruitment of contract teachers and maintenance of the department, etc.

Faculty Empowerment Strategies The staffs of the department are always available for helping the faculties and students of other

department regarding any subject issues

Financial Management and Resource Mobilization

Principal’s office is responsible for every financial activity.

Internal Quality Assurance System

The Primary aim of the IQAC is to develop a system for conscious, consistent and catalytic action

to improve the academic and administrative performance of the institution.

Department of Mathematics Govt. Digvijay P.G College, Rajnandgaon · 2019-01-14 · 1 Department of...

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