Departments

Mathematics

MKR GOVERNMENT DEGREE COLLEGE DEVARAKONDA

DEPARTMENT OF MATHEMATICS

DEPARTMENT PROFILE

WELCOME TO ‘NAAC’ PEER TEAM

IMPORTANCE OF MATHEMATICS

Mathematics is an abstract science. It is the key to unlock the mystery of the nature. Probably it is the path in which shortest distance can be attained between the infinite universe and the human inquisitiveness.

Development of Civilizations is parallel to the development of Mathematics. Mathematics is a fundamental element of present-day life and an indispensable instrument in most of the disciplines. Mathematics develops institution, analytical thinking and logical reasoning induction and deduction.

Mathematics deals with changes and complexity of the natural and social world. The abstractions such as relationships, measure, pattern, order etc. can be seen as the toots of mathematical ideas. There is wide class of problems typically coming from experimental sciences such as physics, chemistry, medical sciences, environmental sciences etc. Experimental scientists need closer collaboration with the new ways of doing mathematics with computers to match mathematical theories with available experimental data.

It is not an exaggeration to say that there is neither a science nor a field in which mathematics is not used. Each branch of mathematics has many applications. For instance, the structure of geometry being just similar to the structure of nature, the basic concepts drawn from nature formulates the body of propositions or theorems in geometry. Applications of these will lead us to nature.

Business activity any form spends money to money. In both cases, numbers are the alphabet of money and mathematics is its universal language. Computing systems have displaced manual information gathering, record keeping, and accounting at an ever-increasing rate with in the business world. Advancing computer technology has made this possible. Hence, people with good mathematical skills will have the best opportunities to excel in many ways in jobs and careers with in the business world.

Thus, we need to focus on producing graduates who are “ready to hire” by embedding skill-related training in their curricula to produce the best -in-class knowledge creators, problem solvers and process managers, who also display deep social, cultural and ecological sensitivity, are collaborative leaders and responsible citizens

Department of Mathematics

INDEX

*S.No*	*Content*	*Page No*
1	Introduction	2
2	History of the department	4
3	Vision and mission	4
4	Staff particulars	5
5	Criterion-I: Curricular aspects	6
6	Strength particulars of students	6
7	Courses offered	7
8	Program Outcomes	8
9	Course Outcomes	9-10
8	Faculty profile	11-12
9	Department time table	13-15
10	Workload of the department	15
11	Criterion-II: Teaching, Learning and Evaluation	16
12	Social Status	17-21
13	Result Analysis	22-26
14	Co curricular and extra-curricular activities	27-31
15	Criterion-III: Research, Innovations and Extension	32-34
16	Criterion-IV: Infrastructure and Learning Resources	35-36
17	Criterion-V: Students Support and Progression	37-38
18	Criterion-VI: Governance, Leadership and Management	39-40
19	Criterion-VII: Institutional values and Best Practices	41-48
20	SWOC analysis	49
21	Future action plan	49
22	Gallery	50-52

Department of Mathematics

HISTORY OF THE DEPARTMENT

The Department of the Mathematics of MKR Government Degree College Devarakonda was established in the year 2001-02. From then on the Department has been handling Mathematics classes for B.Sc.(MPC) Telugu Medium conventional course and B.Sc.(MPCS) English Medium restructured, self-financing course. The Department has two sanctioned posts and at present only one sanctioned post because of less student number. The strength of the department is dedicating teaching staff

Vision

To Provide an environment where students can learn, become competent users of mathematics, and understand the use of mathematics in other disciplines

Mission

To provide excellent knowledge of Mathematical sciences career and groom them for national recognition
To develop problem solving skills in Mathematics among the students

STAFF PARTICULARS – SUCCESSION LIST

From Academic Year 2016-17 to 2020-21

S. No.	Name of Faculty	Qualifi-cation	Nature of appointment	Date of Joining	Date of Leaving
1	Ch.Venkateswarlu	M.Sc,SET	Regular	21-05-2013	30-06-2018
2	Ch.Janaiah	M.Sc,SET	Regular	21-05-2013	09-02-2018
3	P.Srinivas	M.Sc,SET	Regular	08-08-2018	16-06-2019
4	P.Amala	M.Sc,SET,NET	Contract	09-08-2018	11-03-2019
5	G.Arjun	M.Sc	Guest	15-03-2019	03-01-2020
6	Sk.Arifa	M.Sc,B.Ed	Contract	04/01/2020	Till Today

DETAILS OF TEACHING STAFF

Name

Designation

Qualification

Teaching Experience

(Years)

Shaik.Arifa

Lecturer in Mathematics

M.Sc,B.Ed

CRITERION-I

CURRICULAR ASPECTS

Students Enrollment:

The number of students enrolled in first year in each academic year for last five academic years are given below.

Year	Intake	Enrolled	Percentage of enrollment
2016-17	120	71	59%
2017-18	90	61	68%
2018-19	90	39	43%
2019-20	60	38	63%
2020-21	60	31	52%

COURSES:

As College is affiliated to Mahatma Gandhi University Nalgonda, department of Mathematics is following the almanac and teaching the syllabus set by the university. Choice Based Credit System was introduced in academic year 2016- 17. Again, syllabus was changed according the needs of global requirements in the academic year 2019-20. Accordingly, we are now offering the following courses in the department.

B.Sc MATHEMATICS COURSE STRUCTURE

Program Outcomes

PSO1: The graduates will become successful professional’s logical and analytical thinking abilities.

PSO2: The graduates will work and communicate effectively in inter-disciplinary environment, either independently or in a team, and demonstrate leadership qualities.

PSO: The graduates will engage in life-long learning and professional and doctoral level.

PSO5: The main goal of a B.Sc degree in any subject is to develop a deeper understanding of natural laws, inquiring about the reasons and logics which govern them through established methods of observation, modeling, experimentation and calculations.

PSO6: This makes B.Sc degree a very important weapon in your arsenal and opens a plethora of opportunities for further studies, research as well as lucrative employment opportunities across the globe.

PSO7: The key advantages that B.Sc graduates have are that of choice.

PSO8: They have a wide range of options available in terms of subjects, topics, fields and other associated as mentioned above to pursue their graduation degree in.

PSO9: B.Sc graduates can opt to join a postgraduate level degree programme in their respective field or subject to pursue further studies.

PSO10: Some students have also been known to opt for non-science master degree programmes like journalism, animation, computer technology, management, hospitality sector and many others as their field of study after completion of their B.Sc graduation.

PSO11: After completing BSc. degree one can get employed in non-scientific sectors in addition to scientific sectors.

COURSE LEARNING OUTCOMES

Semester-I: Differential Calculus

LO1: Know the definitions and importance of differential calculus LO2: Learn successive differentiation and mean value theorems LO3: Apply the theorems in solving the problems

LO4: Compare successive differentiation and partial differentiation LO5: Understand maxima and minima of functions of two variables LO6: Analyze legranges method of multipliers

Semester-II Differential Equations

LO1: Know about differential equations of first order and first degree LO2: Learn differential equations, integrating factors, change in variables LO3: Understand higher order linear differential equations

LO4: Compare differential equations of first order and first degree & Differential equations first order but not of first degree

LO5: Analyze the method of underterminel Co- Efficient and method of variation of parameters LO6: Apply the methods for solving problems

Semester-III Real Analysis

LO1: Know the Definitions of sequences, Subsequences, Riemann Integration

LO2: Learn limit theorems for Sequences – Monotone Sequences and Cauchy Sequences LO3: Comparison of power series with differentiation and integration of power series LO4: Understand Alternating Series and Integrals Tests

LO5: Apply fundamental theorem of calculus for solving problems

Semester-IV Algebra

LO1: Know about groups, subgroups, isomorphism’s, introduction to rings LO2: Learn some basic algebraic structures like groups rings etc…

LO3: Understand normal subgroups factor groups properties of rings subrings integral domains LO4: Apply legranges theorem for solving problems

LO5: Analyze characteristics of a ring, Ideals and factor rings LO6: To compare prime Ideals and maximal ideals

III YEAR

PAPER-III: Linear Algebra

LO1: Know that Algebra, Liner Integral, Double Integral, Gradient Curl, Solenoidal Vector, Irrotational Vector

LO2: Understand evaluating line integrals, Calculation of Double Integrals LO3: Learn Linear combination of vectors, Linear Span, Orthogonality LO4: Compare Linear dependence and Linear Independence of vectors LO5: Analyze Eigen values and Eigen vectors

LO6: Apply Gauss Divergence, Green theorem, Stokes theorem for solving problems

PAPER-IV: Numerical Analysis

LO1: Know about Interpolation, Curve fitting, Numerical differentiation Numerical Integration

LO2: Learn methods like least squares method (Straight line, Exponential Curves, Second degree Parabola)

LO3: Understand the process of methods- Bisection method, Regula Falsi Method etc… LO4: Analyze maximum and minimum value of a function

LO5: Apply methods like Gauss Elimination, Gauss-Jordan, Triangular decomposition method for solving problems

FACULTY PROFILE:

Faculty: Shaik.Arifa

Shaik.Arifa _M.Sc,B.Ed

Lecturer in Mathematics

PersonalProfile:

Name : SHAIK.ARIFA
Father Name : Sk.Mastan Vali
Mother Name : Sk.Sufiya
Date of Birth : 24/03/1985
Marital Status : Married

Educational Profile:

Course	Institution	Year of passing
SSC	R.V.S.C.V.S.High School,Chilakalurupet	2002
Intermediate (MPC)	VivekanandaJunior College,Chilakaluripet	2004
B.Sc. (MPC)	SKSVR Degree College,Chilakaluripet	2007
M.Sc. (Mathematics)	Bapatla Engineering College,Bapatla	2009
Ph.D. (pursuing)	Sri JJT University.

ServiceParticulars:

Date of appointment: 05-09-2008as Degree College Lecturer.

(Into service)

Date of joining : 04-01-2020.

(In this college)

05-09-2008 to31-03-2012 : Govt Degree College, Ibrahimpatnam.

30-06-2018 to14-10-2019: Govt Degree College, Nakrekal.

28-08-2013 to 03-01-2020: Govt Degree College, Chandur.

04-01-2020 to till today : MKR Govt Degree College, Devarakonda.

Research:

I am now pursuing Ph.D. from JJT University, Rajastan. Now running the course work of Ph.D.

Faculty Development Programmes undergone:

Attended NAAC Workshop at IAE, Hyderabad on “Transformationthrough NAACAccreditation Process” from 21-6-2012 to 22-6-2012.
Attended a one week National online faculty development programme on “Sustainability of Institutions of Higher Learning in the Context of Covid -19: Challenges and Perspectives” from 6th to 11^th July 2020.

External Academic Activities:

Evaluator for i) Mahatma Gandhi University, Nalgonda.
NSS Program Officer for Unit-II
ECO CLUB Co coordinator
MANA TV In charge
Member of the Health Bhagya

Skills Highlighted:

MS office
Effective use of ICT tools in teaching

Mailing Address:

Office:

Shaik.Arifa,

Department of Mathematics,

MKR Govt Degree College Devarakonda.

E-mail ID: shaikarifa961@gmail.com

DEAPRTMENT TIME TABLE

MKR GOVERNMENT DEGREE COLLEGE, DEVARAKONDA B. Sc. MPCS TIME TABLE FOR THE YEAR 2021-22

DAY	SEM	10.00-11-00	11.00-12.00	12.00-1.00	1.30-2.30	2.30-3.30	3.30-4.30
MONDAY	I	AECC	MATHS	TELUGU	PHYSICS LAB
	III	TSKC	ENGLISH	SEC-2	MATHS		NSS/NCC
	V	TELUGU	PHYSICS	MATHS	PROGRAMMING IN JAVA LAB
TUESDAY	I	MATHS	PHYSICS	PROGRAMMING IN C	ENGLISH	TSKC	NSS/NCC
	III	ENGLISH	TELUGU	PHYSICS	TSKC	DATA STRUCTURE USING C++	MATHS
	V	TSKC	PROGRAMMING IN JAVA	MATHS	GENERIC ELECTIVE	PHYSICS
WEDNESDAY	I	TELUGU	MATHS		ENGLISH	PROGRAMMING IN C	PHYSICS
	III	PHYSICS	SEC-I	DATA STRUCTURE USING C++	TELUGU	MATHS	NSS/NCC
	V	MATHS	PROGRAMMING IN JAVA	ENGLISH	GENERIC ELECTIVE	PHYSICS
THURSDAY	I	ENGLISH	PROGRAMMING IN C	TELUGU	MATHS	AECC	NSS/NCC
	III	TELUGU	PHYSICS	MATHS	ENGLISH	DATA STRUCTURE USING C++
	V	GENERIC ELECTIVE	MATHS	PHYSICS	PHYSICS LAB
FRIDAY	I	PROGRAMMING IN C	TSKC	PHYSICS	TELUGU	MATHS
	III	SEC-I	MATHS	SEC-2	DATA STRUCTURE USING C++ LAB
	V	TELUGU	PROGRAMMING IN JAVA	MATHS	ENGLISH	TSKC	NSS/NCC
SATURDAY	I	MATHS	ENGLISH	PHYSICS	PROGRAMMING IN C LAB
	III	PHYSICS	DATA STRUCTURE USING C++	MATHS	PHYSICS LAB
	V	PROGRAMMING IN JAVA	GENERIC ELECTIVE	TELUGU	ENGLISH	MATHS	NSS/NCC

B. Sc. MPCS TIME TABLE FOR Even Semesters 2021-22
B. Sc. MPCS TIME TABLE FOR Even Semesters 2021-22
DAY	SEM	10.00-11-00	11.00-12.00	12.00-1.00	1.30-2.30		2.30-3.30	3.30-4.30
MONDAY	II	AECC-Basic Computers Skills	MATHS	TELUGU	PHYSICS LAB
	IV	MATHS	ENGLISH	SEC 2- Chemistry of Cosmetics & Food Processing	TSKC		Library/ sports	NSS/NCC
	VI	TELUGU	Physics	MATHS	PHP with My SQL	WEB TECHNOLOGIES-LAB
TUESDAY	II	MATHS	PHYSICS	C++	ENGLISH		TSKC	NSS/NCC
	IV	ENGLISH	TELUGU	PHYSICS	TSKC		DBMS	MATHS
	VI	TSKC	WEB TECHNOLOGIES	MATHS	LIBRARY/SPORTS		PHYSICS	NSS/NCC
WEDNESDAY	II	TELUGU	MATHS	LIBRARY/SPORTS	ENGLISH		C++	PHYSICS
	IV	PHYSICS	SEC-I Leadership & Management Skills	DBMS	TELUGU		MATHS	NSS/NCC
	VI	MATHS	WEB TECHNOLOGIES	ENGLISH	OPTIONAL/NANO SCIENCE		PHYSICS	LIBRARY/SPORTS
THURSDAY	II	ENGLISH	C++	TELUGU	MATHS		AECC-Basic Computers Skill	NSS/NCC
	IV	TELUGU	PHYSICS	MATHS	ENGLISH		DBMS	MATHS
	VI	PHP with My SQL	MATHS	PHYSICS	PHYSICS LAB
FRIDAY	II	C++	TSKC	PHYSICS	TELUGU		MATHS	LIBRARY/SPORTS
FRIDAY	IV	SEC-I Leadership & Management Skills	SEC 2- Chemistry of Cosmetics & Food Processing	LIBRARY/SPORTS	DBMS LAB
	VI	TELUGU	WEB TECHNOLOGIES	MATHS	ENGLISH		TSKC	PHP with My SQL
SATURDAY	II	MATHS	ENGLISH	PHYSICS	C++ Lab
	IV	PHYSICS	DBMS	MATHS	PHYSICS LAB
	VI	WEB TECHNOLOGIES	OPTIONAL/NANO SCIENCE	TELUGU	ENGLISH		MATHS	PHP with My SQL

B.SC (MPCS) Time Table for the Year 2021-22

SEM-I, III, V

DAY	10-11	11-12	12-1	1-1.30	1.30-2.30	2.30-3.30	3.30-4.30
MON		MATHS-I	MATHS-V	Lunch Break	MATHS-III
TUE	MATHS-I		MATHS-V				MATHS-III
WED	MATHS-V	MATHS-I				MATHS-III
THRS		MATHS-V	MATHS-III		MATHS-I
FRI		MATHS-III	MATHS-V			MATHS-I
SAT	MATHS-I		MATHS-III			MATHS-V

SEM-II, IV, VI

DAY	10-11	11-12	12-1	1-1.30	1.30-2.30	2.30-3.30	3.30-4.30
MON	MATHS-IV	MATHS-II	MATHS-VI	Lunch Break
TUE	MATHS-II		MATHS-VI				MATHS-IV
WED	MATHS-VI	MATHS-II				MATHS-IV
THRS		MATHS-VI	MATHS-IV		MATHS-II
FRI			MATHS-VI			MATHS-II
SAT	MATHS-II		MATHS-IV

FACULTY WORK LOAD

S.NO	Name of the Faculty	Theory (Hours)	TOTAL
1	Shaik.Arifa	18	18

CRITERION II

TEACHING, LEARNING & EVALUATION

As per the Almanac of the University, there are 15 weeks or 90 working days in each semester. Teaching plans and semester plans will be in such a way that entire course shall be covered within available time. Faculty member is recording in the teaching dairy whatever faculty taught and does some curricular activities. We maintain Digital Teaching Diary from 2020-21 onwards. Digital Teaching Diary is the part of CAIMS (College Administration Information Management System) which is provided by Commissionerate of collegiate education, Telangana. Department used to review coverage of syllabus from time to time and gives instruction accordingly. Faculty members are encouraged to take up student centric activities via, Quiz, Debating, Elocution, Assignments, Student Seminars, Group Discussions, Student Study projects and brainstorming sessions. Faculty member in the department is trained in ICT tools. ICT enabled teaching is being done in blended modes through different platforms as shown below

Online classes
YouTube channels
Google classrooms

Evaluation of students is done through two internal exams and one semester end exam that will be conducted by the university.20% of weightage is given to Internal Assessment examination and 80% of weightage is given to semester end exam. A student has to score 40% of total marks including internal and external to pass in a course. Average of two internal assessments will be considered for internal marks.

Student Social Status for the year 2016-17

Year	Total	OC	BC	SC	ST	MIN
I	71	1	41	13	16	0
II	80	0	46	16	18	0
III	100	5	63	21	11	0

Student Social Status for the year 2017-18

Year	Total	OC	BC	SC	ST	MIN
I	61	1	32	15	13	0
II	59	1	35	9	14	0
III	75	0	45	15	15	0

Student Social Status for the year 2018-19

Year	Total	OC	BC	SC	ST	MIN
I	62	1	33	15	13	0
II	61	1	37	9	14	0
III	78	0	48	15	15	0

Student Social Status for the year 2019-20

Year	Total	OC	BC	SC	ST	MIN
I	38	0	17	11	7	3
II	23	1	10	2	10	0
III	36	1	22	6	7	0

Student Social Status for the year 2020-21

Year	Total	OC	BC	SC	ST	MIN
I	31	0	16	7	7	1
II	29	1	13	9	6	0
III	30	2	14	3	11	0

RESULT ANALYSIS

After publication of results by university, Department will do result analysis immediately and it will plan for the remedial classes for the failed student.