Government Degree College, Khairatabad

Chintal Basthi, Khairathabad, Hyderabad – 500004

Reaccredited by NAAC with ‘B’ Grade & ISO Certified 9001 : 2015

Affiliated to Osmania University, Hyderabad

Welcome to Govt. Degree College, Khairatabad.    Welcome to Dr. Gangadhar Panda, Vice Chancellor, Kolhan University, Chaibasa, Jharkhand, Chairperson, NAAC PTV.Welcome to Dr. Ravichandran Kulandaivelu, Director, Professor, and Head of the Department of Analytical Chemistry, Director Institute of the Distance Education University of Madras, Chennai, Tamilnadu, Member Coordinator, NAAC PTV. Welcome to Dr. Badal Kumar Sen, Principal, Kabita Sen Dibugarh, Assam, Member, NAAC PTV

Mathematics and Statistics

Dept. Info

In the year 1973, the college introduced Department of Mathematics with different combinations at UG level keeping in view the need for strengthening its Physical Sciences Wing and growing competition in the IT and Science fields. Since then, the Department of Mathematics has been providing the excellent learning platform for the science students to shine forth.

 

 

HISTORY OF THE DEPARTMENT

The Department of MATHEMATICS was established in this college with B.Sc. General Course in the year 1973 with a view to provide Science education to the students of this region. In a bid to impart the computer knowledge, which is the need of the hour, B.Sc. (Mathematics, Physics, Computer Science) was introduced in the academic year 1996-97, B.Sc. (Mathematics, Statistics, Computer Science) was introduced in year 2018-19 and B.Sc. (Mathematics, Statistics, Data Science) was introduced in 2020-21. The Department started from student intake of 60 developed to the present sanctioned strength of 360.

 

BASIC INFORMATION

Courses offered:

S. No Course Medium Sanctioned Strength
1 B.Sc (Mathematics, Physics, Chemistry) English 360
2 B.Sc (Mathematics, Physics, Computer Science) English
3 B.Sc (Mathematics, Statistics, Computer Science) English
4 B.Sc (Mathematics, Statistics, Data Science) English
5 B.Sc (Mathematics, Economics, Computer Science) English
Number of Teachers working against sanctioned post in Dept. of MATHEMATICS during the last four years:
Year 2018-19 2019-20 2020-21 2021-22
Sanctioned posts 05 05 05 06
Working 05 05 05 05

 

Details Present Teaching Faculty 

S. No Name Faculty Qualification Designation Experience
1 Dr K. Venkateswarlu M.Sc., Ph.D Associate Professor & In – Charge 25
2 T. Naveen Chandar Raju M.Sc., CSIR NET Asst. Professor 20
3 N. Jayaleela M.Sc., APSET Asst. Professor 20
4 Dr C. Saraswathi M.Sc., Ph.D Asst. Professor 18
5 S. Vinod (Statistics) M.Sc., TS SET Asst. Professor 03

 

1. CURRICULAR ASPECTS

1.1 Curricular Planning and Implementation

The College is affiliated to Osmania University, Hyderabad and the curriculum for the B.Sc courses is prescribed by the Board of Studies, Department of MATHEMATICS of the University. The curriculum planning and implementation work is undertaken in a planned way. The Curriculum is being implemented according to the Almanac provided by the Affiliating University. The In-charge of the Department conducts the review meetings once in a month at their respective department to know the status of the completion of syllabus and to monitor the conduct of other co-curricular activities such as Remedial Coaching Classes, Student Seminars, Quiz Competitions, Assignments and Internal Exams etc. The Department also organizes various programs related to the academics such as Field Trips etc.

1.2 Academic Flexibility

Introduction of CBCS: The Govt. of Telangana introduced Choice Based Credit System (CBCS) in the state as per the guidelines given by the UGC in all the Universities including the Osmania University to which this college is affiliated, from the academic year 2016-17 and later the syllabus revised in 2019-20.

1.3 Value Added Courses:

The Department of MATHEMATICS introduced Value Added Course on “Quantative Techniques in Mathematics” from the year 2015-16 to the B.Sc students with a view to add some additional value to the existing subject knowledge and to enhance their skill.

 

2.1 Student Enrolment and Profile

 Year-Wise Male and Female Students 
  2015-16 2016-17 2017-18 2018-19 2019-20 2020-21 2021-22
  M F T M F T M F T M F T M F T M F T M F T
MPC I 76 3 79 55 7 62 50 8 58 99 13 112 71 13 84 44 13 57 22 3 25
MPC II 47 10 57 76 3 79 55 7 62 50 8 58 99 13 112 71 13 84 44 13 57
MPC III 44 5 49 47 10 57 76 3 79 55 7 62 50 8 58 99 13 112 71 13 84
MPCS I 22 8 30 20 6 26 21 9 30 92 27 119 133 31 164 108 23 131 90 31 121
MPCS II 21 9 30 22 8 30 20 6 26 21 9 30 92 27 119 133 31 164 108 23 131
MPCS III 21 9 30 21 9 30 22 8 30 20 6 26 21 9 30 92 27 119 133 31 164
MSCS I 43 17 60 66 20 86 42 19 61 43 19 62
MSCS II 43 17 60 66 20 86 42 19 61
MSCS III 43 17 60 66 20 86
MSDS I 39 14 53 43 13 56
MSDS II 39 14 53
MSDS III

SOCIO-ECONOMIC STATUS OF STUDENTS

Academic Year Class Total SC ST BC OC
M F M F M F M F
2015-16 I Year 109 19 3 8 1 65 7 6 0
II Year 87 7 3 8 1 48 15 5 0
III Year 79 17 7 3 0 42 7 3 0
2016-17 I Year 88 16 2 6 2 49 7 4 2
II Year 109 19 3 8 1 65 7 6 0
III Year 87 7 3 8 1 48 15 5 0
2017-18 I Year 88 18 3 5 1 44 11 4 2
II Year 88 16 2 6 2 49 7 4 2
III Year 109 19 3 8 1 65 7 6 0
2018-19 I Year 291 38 7 27 1 149 40 20 9
II Year 88 18 3 5 1 44 11 4 2
III Year 88 16 2 6 2 49 7 4 2
2019-20 I Year 334 48 13 10 10 182 39 24 8
II Year 291 38 7 27 1 149 40 20 9
III Year 88 18 3 5 1 44 11 4 2
2020-21 I Year 303 34 14 23 4 160 40 17 11
II Year 334 48 13 10 10 182 39 24 8
III Year 291 38 7 27 1 149 40 20 9
2021-22 I Year 266 33 9 17 4 128 45 21 9
II Year 303 34 14 23 4 160 40 17 11
III Year 334 48 13 10 10 182 39 24 8

2.2 Catering to Student Diversity

The Department of MATHEMATICS takes every measure possible to understand the needs and requirements of the students before the commencement of the program. Students are counseled at the time of admission and an Orientation program is organized in which students are familiarized with the course, mode of internal assessment as well as facilities available in the college. Teachers before beginning their courses informally get the pulse of the students in the class, their knowledge about the course and their comfort level with English as a medium of instruction. Teachers during class interaction identify students’ potential and then devise strategies to reduce the gap in the knowledge and skills.

 2.3 Teaching-Learning Process

Learning at the college has been changed from teacher centrism to the student centric after introduction of the CBCS. The experiential and participant learning are the effective and active modes of learning which are being adopted enormously at the Department of MATHEMATICS. Visits to other institutes, field trips, seminars and talks by experts are organized every year. Students are given individual projects and class assignments, focusing on self-study and independent learning. They are also assigned group projects and activities which promote peer learning and team building. Classroom discussions, debates, seminars, quiz programs, presentations by students.

2.4 Academic Activities

The staff maintains Teaching diaries, Synopsis and prepares Annual Academic plans to have more systematic approach. Departmental meetings are convened every month to discuss various issues pertaining to academic as well as administrative matters. The faculty of the department strictly adheres to the academic schedule as per the almanac furnished by the university. The time table is framed and workload is distributed among the staff as per the time table.

2.5 Extension Lectures

The Department of MATHEMATICS Conducts Extension Lectures on latest topics in the MATHEMATICS Subjects by inviting eminent persons from university and other colleges.

S.No Topic Resource Person Date

 

1

Uses of Leibnitz Theorem L. Nagaraju 06.08.2015
2 Role of Number System in Day-to-Day life Dr K. Satyanarayana 10.09.2015
3 Probability and statistics Jaydev Rathode 03.08.2016
4 Operation Research Ch. Sowmya 29.10.2016
5 Counter Examples of Calculus B. Sattaiah 16.08.2017
6 Mathematics –Its Relevance to everyday life Dr C. Govardhan 31.10.2017
7 Pigeon Hole Theorem Dr P. Maheshwari 06.03.2018
8 7 Bridges of Konigsberg Jaydev Rathode 05.11.2018
9 Basics in Mathematics Dr P. Ramireddy 03.04.2019
10 Quadratic Equations Y Lingam 24.10.2019
11 Inner Product spaces Dr P. N Swamy 29.11.2021
12 Riemann Integration Dr S.Sivareddy 05.01.2022

 

2.6 Student Study Projects

Teachers are encouraged Students to do study Projects on various topics in both curricular and general Mathematics.

S. No Topic Name of the student Class Roll No
1 Properties of Groups A.Bhagyalaxmi III MPCS 1140-13-468-010
2 Indian Mathematics M.Satishkumar II MPCS 1140-14-468-011
3 Sub Group Tests A.Shivaleela III MPC 1140-13-441-015
4 Abel’s theorem P.Ragbasha III MPC 1140-13-441-025
5 Dihedral Groups G.Kopikrishna III MPCS 1140-13-468-021
6 Elementary Number Theory U.Bhargav Kumar II MPCS 1140-13-468-019
7 Shortest distance between two skew lines

B.Alekhya

P.Swathi

III MPCS

1140-14-468-018

1140-14-468-017

8 First order and degree differential equations G.Eswar II MPC 1140-14-441-513
9 Second order differential with variable coefficient M.Satishkumar II MPCS 1140-14-468-011
10

 

Solution of linear system of equations-different methods.

M.vishali

G.Ravali

U.Kaveri

G.Manichandana

K.Sneha

P.Swathi

III MPCS

III MPCS

III MPCS

III MPCS

III MPCS

III MPCS

1140-14-468-006

1140-14-468-007

1140-14-468-030

1140-14-468-009

1140-14-468-031

1140-14-468-017

11 Curve fitting by method of least squares

M.Satishkumar

V.Vignesh

K.Swamidas

G.Bhagirath

III MPCs

III MPC

III MPC

III MPC

1140-14-468-011

1140-14-441-019

1140-14-441-011

1140-14-441-020

12

History of Mathematics

(2018 – 19)

Supervisor:

N. Jayaleela

M.Niharika

T.Roshini

Manojkumar A

S. Saicharan

I MPCS

I MSCS

I MSCS

I MSCS

1140-18-468-083

1140-18-467-055

1140-18-467-003

1140-18-467-047

13 Homogeneous functions.

S. Ganesh

P.Praveen

A. Manojkumar

I MSCS

I MPCS

I MSCS

 1140-18-467-046

1140-18-468-102

1140-18-467-003

14

Poision process

 

G. Joshna

M.Sanjeevaprakash Suraj sahu

P.Harika

I MSCS

I MSCS

I MSCS

I MSCS

1140-18-467-018

1140-18-467-036

1140-18-467-054

1140-18-467-043

15

Famous Indian Mathematicians

(2019 – 20)

Supervisor:

Dr C. Saraswathi

Afra Begum

Govind Tulasi

Ch Anitha

Pavan Kalyan

K Pranay

K Veena

III MPC

III MPC

III MPCS

III MPCS

III MPCS

III MPCS

114017441003

114017441013

114017468005

114017468011

114017468012

114017468013

16 Vedic Mathematics

B.Ramesh

B. Rithika

B. Ramya

L. Devendar

III MPC

III MPC

III MPC

III MPC

1140-18-468-068

1140-18-441-008

1140-18-441-010

1140-18-467-031

17

Rolle’s Theorem

 

B. Sai Kishan II MSCS 1140-19-467-011
18

Magic Squares and their Applications

(2021 – 22)

Supervisor:

Dr K. Venkateswarlu

D. Rahul

M. Meena

K. Vaishnavi

K. Snatosh

V. Srujana

A. Supriya

III MSCS

III MSCS

III MSCS

I MPCS

IMPCS

IMPCS

1140-19-467-023

1140-19-467-046

1140-19-467-035

1140-21-468-057

1140-21-467-016

1140-21-468-008

19 Archimedes Constant

A Tushmita

P. Deepthi

B Akhila

N Tanuja

I MSCS

I MSCS

I MSCS

I MSCS

1140-21-467-004

1140-21-467-048

1140-21-467-005

1140-21-467-044

20 Who invented Zero

MD.Sahana

Ch. Paritha

R Manjula

K Chandana

I MSCS

I MSCS

I MSCS

I MSCS

1140-21-467-054

1140-21-467-009

1140-21-467-031

1140-21-467-028

 

2.7 Evaluation Process and Reforms

The department conducts slip tests and assignments regularly for all the years for assessing their performance. Marks lists are prepared and placed in a separate register. The staff also submits the reports of slip tests and assignments conducted in the department in their performance indicators.

2.8 Reforms in Evaluation Process

Introduction of Semester System (CBCS): The examination system for evaluating the students’ performance has been changed from existing year-wise examination to semester wise examination for continuous evaluation of the students since 2016-17 onwards. Moreover, the credit system has replaced the existing awarding of marks system. The Osmania University, to which this college is affiliated, has introduced the new CBCS syllabus, specially designed for semester system, from the academic year 2016-17.

Result Analysis – Mathematics

Semester &Paper 2018-19 2019-20 2020-21
App Pass Pass % App Pass Pass % App Pass Pass %
SEM-1(Paper – I) 257 105 40.86 317 157 49.52 279 175 62.72
SEM-2(Paper – II) 242 163 67.35 290 184 63.44 271 127 46.86
SEM-3(Paper – III) 65 32 49.23 233 133 57.08 289 108 37.37
SEM-4(Paper – IV) 62 23 37.09 234 150 64.10 286 180 62.94
SEM-5(Paper – V) 71 41 57.74 60 52 86.67 228 145 63.60
SEM-5(Paper – VI) 71 51 71.83 59 27 45.76 229 189 82.53
SEM-6(Paper –VII) 67 45 67.16 61 51 83.61 230 223 97.00
 SEM-6(Paper – VIII) 67 43 64.17 61 61 100 230 224 97.39



 

3. RESEARCH, INNOVATIONS AND EXTENSION

The faculty members are actively participated faculty development programs and participated regularly in seminars.  The following data is from 2015-16 to till date and complete details are given in APPENDIX – 1.

Publications OC RC  FDP Seminars/Webinars
08 01 03 07 24

 

Memorandum of Understanding (MOU):

S. No Organization with which MoU is signed

Year of signing

 

Duration
1 University College for Women, Hyd. 2018-19 3 Years
2 RBVRR Women’s College, Hyd. 2018-19 3 Years
3 Radiant High School, Hyderabad 2018-19 5 Years

4. INFRASTRUCTURE AND LEARNING RESOURCES

The department is located in the ground floor of the C block of the college with internet facility and the departmental library is having 134 books in the concerned subjects for reference both for staff and students to facilitate teaching and learning.

5. STUDENT SUPPORT AND PROGRESSION

  • Majority of the students are covered under scholarship scheme by the state govt.
  • Coaching for P.G and other Entrance Examinations are given to the students.
  • The students are provided with sets of Previous question papers.
  • Students are given Departmental Library books in addition with Central Library.
  • Students are provided with access to N-List facility.
  • Providing study material to students.
  • Some students are joined PG in Central and State Universities

 

6. GOVERNANCE, LEARDERSHIP AND MANAGEMENT

6.1 Vision, Mission and Objectives

Vision

To explore the innate mathematical genius among student and instill curiosity in investigating new methodologies for future applications in Mathematics.

Mission
  • To apply math in real life situations and seek solutions in day to day life.
  • To impart the knowledge of mathematical science with precision and motivate the students to pursue research in various science fields
  • To generate mathematical thinking to solve complex problems by providing mathematical experiences.
  • To use numbers and symbols and relevant applications in the study and understanding of quantities, operations and measurements.
Objectives
The students should be able to:
  1. Recognize that mathematics is an art as well as a powerful foundational tool of science with limitless applications.
  2. Demonstrate an understanding of the theoretical concepts and axiomatic underpinnings of mathematics and an ability to construct proofs at the appropriate level.
  3. Demonstrate competency in mathematical modeling of complex phenomena, problem solving and decision making.
  4. Demonstrate a level of proficiency in quantitative and computing skills sufficient to meet the demands of society
6.2 Performance Appraisal System

The IQAC appraises the performance of the teaching staff by adopting two methods such as Feedback System and Self-Appraisal Forms (API).

The performance of the Teachers is assessed based on the feedback received from the students. The feedback is collected annually through a structured questionnaire, across various teaching quality parameters and analysed to assess the performance and to take necessary steps to plug the loopholes if any.

7. BEST PRACTICES

  • Awareness program for High School students on Higher Studies
  • Writing of Mathematical Formulae
  • Preparing various Mathematical 3-D models and Charts
  • Provides previous Question papers and Material to PG Entrance and other Competitive Examinations

Action Plan for the next Five Years

  • To conduct National seminars and workshops
  • To apply Major/ Minor Research Projects
  • To Start More Job Oriented Certificate Courses
  • To start inter disciplinary Research
STRENGTHS, WEAKNESSES, OPPORTUNITITES & CHALLENGES:

Strengths                     :           Qualified and Experienced Faculty

Weaknesses                :           Students with poor basics

Opportunities              :           To excel Research

Challenges                  :           High student teacher ratio

APPENDIX-1: RESEARCH PUBLICATIONS AND SEMINARS

APPENDIX-2: B.SC (CBCS) SYLLABUS AND STRUCTURE

APPENDIX-3: TEACHERS’ PERSONAL PROFILES

APPENDIX-4: SNAP SHOTS OF DEPARTMENTAL ACTIVITIES

APPENDIX-1: RESEARCH PUBLICATIONS AND SEMINARS

Research Publications

  1. A K Tripathy, S. Panigrahi, and P. Rami Reddy, Oscillation of a class of fourth order functional dynamic equations, Functional Differential Equations, Vol.22 2015, No 1-2, pp 69-91.
  2. P. Rami Reddy, N. Sikender and M. Venkata Krishna, Classification of solutions of second order neutral delay dynamic equations on time scales, IOSR Journal of Mathematics (IOSR-JM), e-ISSN: 2278-5728, P-ISSN: 2319-765X Vol. 12, Issue 5 Ver. I (Sep. – Oct. 2016), PP 72-81.
  3.   N. Sikender, M. Venkata Krishna and P. Rami Reddy, Classification of solutions of second order nonlinear neutral delay dynamic equations with positive and negative coefficients, International Journal of Mathematics Trends and Technology (IJMTT) – Volume 37 Number 1-20, September 2016.
  4. S. Panigrahi, and P. Rami Reddy, Oscillatary behavior of higher order nonlinear homogeneous neutral delay dynamic equation with positive and negative coefficients, J. Appl. Anal 2018: 24(2); 139-154
  5. N. Sikender, P. Rami Reddy, M. Venkata Krishna and M. Chenna Krishna Reddy, Classifications of solutions of second order nonlinear neutral delay dynamic equations of mixed type, International Journal of Mathematical Archive 9(2), (2018), 284-294.
  6. P. Narasimha Swamy, C. Saraswathi and T. Srinivas, “Interval Valued Fuzzy Near-algebra Over Interval Valued Fuzzy Field”, International Review of Pure and Applied Mathematics, Volume 14, Number 1,87-94(2018)
  7. C. Saraswathi, P. Narasimha Swamy, K. Vijay Kumar and L. Bhaskar, “Bipolar Fuzzy Gamma Near-algebra Over Bipolar Fuzzy Field”, AIP Conference Proceedings (ICMSA 2019), Published (Scopus).
  8. C. Saraswathi, P. Narasimha Swamy and L. Bhaskar, Interval Valued Fuzzy Ideals of Near algebras, Malaya Journal of Mathematik, Vol. S, No. 1, 177-182(2020)

Orientation / Refresher Courses, FDPs, Seminars, Conferences etc.

 Name of the Faculty: Dr K. Venkateswarlu 
S. No
Name of the Seminar
Name of the Organizer
Duration
1
online FDP on Latex and Scilab
D K M College, Vellore
30.04.20-04.05.20
2
National webinar in Mathematics & Statistics
University College for Women, Koti, Hyd.
24.06.2020
3
Online FDP on Python Programming
BJR GDC, Hyd
16-22.07.2020
4
Online FDP on R Programming
GDC, Khairatabad
23-29.07.2020
5
FDP in Applied Numerical Methods
University College for Women, Koti, Hyd.
28.09.20-03.10.20
6
Design Thinking, Critical Thinking and Innovation Design
BVRIT, Hyderabad
21.02.2022
7
XXX Congress of APTSMS & International Conference on Mathematics & Its Relevance to Science and Engineering
OU, Hyderabad
12-14.03.2022
8
Five Day National Online FDP on “ Mathematical Modeling”
S N Vanita Maha Vidyalaya, Hyderabad
06-11.04.2022
9
State level Jignasa Programme for the tear 2021-22
GDC, Khairatabad
30.04.2022
 Name of the Faculty: T. Naveen Chandar Raju
10
Online Inter –Displinary Two Week Refresher Course on “Managing Online Classes & Co-creating MOOCS 12.0”
Ramanujan College, Delhi
07-21.03.2022
 Name of the Faculty: N. Jayaleela
11
Recent development& innovations in mathematical sciences
IPGDC, Hyd
30-10-2018
12
Best practices in ICT classrooms
Aurora college, Hyd
08-10-2018
13
National seminar on Recent trends in Mathematical analysis & Mathematical modeling
AV College, Hyd
 
 
27.04.2019
14
Global Business Foundation skills
Infosys BPM Ltd. Hyd
28.11.2019 –
06.12.2019
15
Webinar on Guidance towards preparedness for Accreditation of HEI
GDC, Khairatabad
26.6.2020
 
16
Online short term course on MOOCS and e- content development
 
UGC-HRDC-RUSA Osmania University,
Hyderabad
 
14-19.12.2020
17
International Webinar
GDC, Khairatabad
06.03.2021
18
Moodule Learning Management System
GDC, Khairatabad
05-12.07.2021
 
19
Orientation on  New Education Policy
Dr.MCR HRD INSTITUTE OF TS
 
14-16.07.2021
 
 
 Name of the Faculty: Dr C. Saraswathi
20 National conference on Mathematical sciences and applications Osmania University 30-31.07.2018
21 Recent developments & Innovations in Mathematical Sciences IPGDC, Hyd. 30.10.2018
22 International Conference on Mathematical Sciences and Applications (ICMSA-2019)

GITAM, Hyd

(Paper Presented)

09-11.08.2019
23 National Seminar on Recent Trends in Mathematical Analysis & Mathematical Modelling

AV College, Hyd

(Paper Presented)

27-01-2019
24 International Conference on Mathematical Sciences

SGSC, Jaggayyapeta

(Paper Presented)

11-13.11.2019
25 Online FDP on “The Impact of Quantum computing Cryptography and Black chain Technology” GITAM, Hyd 13-17.09.2021
26 XXX Congress of APTSMS & International Conference on Mathematics & Its Relevance to Science and Engineering OU, Hyderabad 12-14.03.2022
27 Online Inter –Displinary Two Week Refresher Course on “Managing Online Classes & Co-creating MOOCS 12.0” Ramanujan College, Delhi 07-21.03.2022
 Name of the Faculty: Dr P. Ramireddy
28 Orientation Course

UGC-HRDC, Maulana Azad National Urdu University.

 

14-05-2015 to 10-06-2015
29 Orientation of Retraining of Teachers Effective Teaching Skills GDC, Begumpet 13.02.2016
30 Two day training Programme on NIPUNA – Nurturing Young Leaders in Higher Education RUSA 25-26.04.2016
31

Two day training Programme on SODHANA –  Nurturing Young Leaders in Higher Education

 

RUSA 2-3.05.2016
32 Two day training Programme on Jignasa student study project RUSA 16-17.05.2016
33 National Conference on Recent Advances of Mathematical Techniques in Science and Engineering Osmania University 30-31.07.2017
34 Faculty Development Programme on “Optimization Techniques in Artificial Intelligence” Department of Mathematics, Aurora’s Degree & PG College 19.08.2017

Mathematics Dept. Faculty

Total Faculty Members in Mathematics department : 4

Sl.No. Photo Name Designation Profile
1 Dr K Venkateswarlu
M.Sc., Ph.D
Associate Professor Profile
2 T. NAVEEN CHANDAR RAJU
M.Sc.(Mathematics)
Assistant Professor Profile
3 Ms N Jayaleela
M.Sc,APSET
Lecturer Profile
4 Ms.C. SARASWATHI
PhD, MTech
Assistant Professor Profile

Statistics Dept. Faculty

Total Faculty Members in Statistics department : 1

Sl.No. Photo Name Designation Profile
1 Santi vinod
Msc statistics
Lecturer Profile

Department of Mathematics

Course:  B.Sc.
Program: Mathematics.

Mathematics Program Outcomes:

  1. Demonstrate basic manipolative skills in algebra, geometry, trigonometry, and beginning calcolus
  2. Apply the underlying unifying structures of mathematics (i.e. sets, relations and functions, logical structure) and the relationships among them
  3. Demonstrate proficiency in writing proofs
  4. Communicate mathematical ideas both orally and in writing
  5. Investigate and apply mathematical problems and solutions in a variety of contexts related to science, technology, business and industry, and illustrate these solutions using symbolic, numeric, or graphical methods
  6. Investigate and solve unfamiliar math problems
  7. Classes develop student abilities and aptitudes to apply mathematical methods and ideas not only to problems in mathematics and related fields such as the sciences, computer science, actuarial science, or statistics, but also to virtually any area of inquiry.

Programme Specific Outcome of B.Sc., Mathematics:

  1. Think in a critical manner.
  2. Know when there is a need for information, to be able to identify, locate, evaluate, and effectively use that information for the issue or problem at hand.
  3. Formolate and develop mathematical arguments in a logical manner.
  4. Acquire good knowledge and understanding in advanced areas of mathematics and statistics, chosen by the student from the given courses.
  5. Understand, formolate and use quantitative models arising in social science, business and other contexts.

Course Outcome of B. Sc. Mathematics:

Course Outcome of Analytical Geometry 3D and Vector Calcolus:

Students will able to

  1. Describe the various forms of equation of a plane, straight line, Sphere, Cone and Cylinder.
  2. Find the angle between planes, Bisector planes, Perpendicolar distance from a point to a plane, Image of a line on a plane, Intersection of two lines
  3. Define coplanar lines and illustrate
  4. Compute the angle between a line and a plane, length of perpendicolar from a point to a line
  5. Define skew lines
  6. Calcolate the Shortest distance between two skew lines
  7. Find and interpret the gradient curl, divergence for a function at a given point.
  8. Interpret line, surface and volume integrals
  9. Evaluate integrals by using Green’s Theorem, Stokes theorem, Gauss’s Theorem.

Course Outcome of Theory of Equation, Theory of Numbers and Inequalities:

Students will able to

  1. Describe the relation between roots and coefficients
  2. Find the sum of the power of the roots of an equation using Newton’s Method.
  3. Transform the equation through roots moltiplied by a given number, increase the roots, decrease the roots, removal of terms
  4. Solve the reciprocal equations.
  5. Analyse the location and describe the nature of the roots of an equation.
  6. Obtain integral roots of an equation by using Newton’s Method.
  7. Compute a real root of an equation by Horner’s method. • Illustrate the Division and Euclidean Algorithm
  8. Describe the properties of prime numbers
  9. Show that every positive integer can be expressed as product of prime power in unique way
  10. Write a formola for the number of positive integers less than n that are relatively prime to n
  11. Define congruences and describe the properties of congruences
  12. Find the Sum, product of all the divisors of N.
  13. Find the smallest number with N divisors.
  14. Solve the system of linear congruences
  15. State Chinese Remainder Theorem, Fermat’s and Wilson’s theorem.

Course Outcome of Complex Analysis :

Students will able to

  1. Compute sums, products, quotients, conjugate, modolus, and argument of complex numbers.
  2. Calcolate exponentials and integral powers of complex numbers.
  3. Write equation of straight line, circle in complex form
  4. Define reflection points, concyclic points, inverse points
  5. Understand the significance of differentiability for complex functions and be familiar with the Cauchy-Riemann equations.
  6. Determine whether a given function is analytic.
  7. Define Bilinear transformation, cross ratio, fixed point.
  8. Write the bilinear transformation which maps real line to real line, unit circle to unit circle, real line to unit circle.
  9. Find parametrizations of curves, and compute complex line integrals directly.
  10. Use Cauchy’s integral theorem and formola to compute line integrals. • Represent functions as Taylor, power and Laurent series.
  11. Classify singolarities and poles.
  12. Find residues and evaluate complex integrals, real integrals using the residue theorem.

Course Outcome of Modern Analysis :

Students will able to

  1. Define countable, uncountable sets
  2. Write Holders and Minkowski inequality
  3. Define and recognize the concept of metric spaces, open sets, closed sets, limit points, interior point.
  4. Define and Illustrate the concept of completeness
  5. Determine the continuity of a function at a point and on a set.
  6. Differentiate the concept of continuity and uniform continuity
  7. Define connectedness • Describe the connected subset of R.
  8. Define compactness.

Course Outcome of Linear Algebra :

Students will able to

  1. Define Vector Space, Quotient space Direct sum, linear span and linear independence, basis and inner product.
  2. Discuss the linear transformations, rank, nollity.
  3. Find the characteristic equation, eigen values and eigen vectors of a matrix.
  4. Prove Cayley- Hamilton theorem, Schwartz inequality, Gram Schmidt orthogonalization process.
  5. Solve the system of simoltaneous linear equations.

Course Outcome of Numerical Analysis :

Students will able to

  1. Define Basic concepts of operators ∆, Ε, ∇
  2. Find the difference of polynomial
  3. Solve problems using Newton forward formola and Newton backward formola.
  4. Derive Gauss’s formola and Stirling formola using Newton forward formola and Newton backward formola.
  5. Find maxima and minima for differential equation
  6. Derive Simpson’s 1/3 ,3/8 roles using trapezoidal role
  7. Find the solution of the first order and second order equation with constant coefficient
  8. Find the summation of series finite difference techniques
  9. Find the solution of ordinary differential equation of first by Eoler, Taylor and Runge-Kutta methods.

Course Outcome of Sequence and Series:

Students will able to

  1. Define different types of sequence.
  2. Discuss the behaviour of the geometric sequence.
  3. Prove properties of convergent and divergent sequence.
  4. Verify the given sequence in convergent and divergent by using behaviour of Monotonic sequence.
  5. Prove Cauchy’s first limit theorem, Cesario’s theorem, Cauchy’s Second limit theorem.
  6. Explain subsequence’s and upper and lower limits of a sequence.
  7. Give examples for convergence, divergence and oscillating series.
  8. Discuss the behaviour of the geometric series.
  9. Prove theorems on different test of convergence and divergence of a series of positive terms.
  10. Verify the given series is convergent or divergent by using different test.

Course Outcome of Differential equations and its applications:

Students will able to

  1. Extract the solution of differential equations of the first order and of the first degree by variables separable, Homogeneous and Non-Homogeneous methods.
  2. Find a solution of differential equations of the first order and of a degree higher than the first by using methods of solvable for p,x and y.
  3. Compute all the solutions of second and higher order linear differential equations with constant coefficients, linear equations with variable coefficients.
  4. Solve simoltaneous linear equations with constant coefficients and total differential equations.
  5. Form partial differential equations.
  6. Find the solution of First order partial differential equations for some standard types.
  7. Use inverse Laplace transform to return familiar functions
  8. Apply Laplace transform to solve second order linear differential equation and simoltaneous linear differential equations.

Department of Statistics

Course Outcome of B. Sc. Statistics:

Course Outcome of Statistics:

Students will able to

  1. Define Resoltant, Component of a Force, Coplanar forces, like and unlike parallel forces, Moment of a force and Couple with examples.
  2. Prove the Parallelogram of Forces, Triangle of Forces, Converse of the Triangle of Forces, Polygon of Forces, Lami’s Theorem, Varignon’s theorem of moments.
  3. Find the resoltant of coplanar couples, equilibrium of couples and the equation to the line of action of the resoltant.
  4. Discuss Friction, Forces of Friction, Cone of Friction, Angle of Friction and Laws of friction.
  5. Define catenary and obtain the equation to the common catenary.
  6. Find the tension at any point and discuss the geometrical properties of a catenary.

Course Outcome of Statistics:

Students will able to

  1. Define Moments Skewness and Kurtosis.
  2. Fit a straight line.
  3. Calcolate the correlation coefficient for the given data.
  4. Compute Rank correlation for the given data.
  5. Define attributes, consistency of data, independence of data.
  6. Find index numbers for the given data.
  7. Define Probability, Conditional probability.
  8. Derive Baye’s theorem.

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