Department of Mathematics

Mathematics can be described as an ever growing language and/or an infinite storehouse of subcollections called branches, consisting of techniques, which help us to model an observable behaviour, so as to predict it accurately or nearly accurately, in real time, with the help of the known laws and/or a limited amount of data available on it. The department of mathematics focuses on making its students strive for excellence in acquiring basic knowledge and skills in mathematics, and thereby get motivated to pursue higher studies. The faculty introduces various innovative techniques to improve the comprehension and problem solving skills of students. It also provides personal guidance to the low achievers in handling any distraction/obstacle encountered.

Adelaide Saldanha has recently been awarded the Doctorate degree in Philosophy in mathematics for the thesis “On some enumeration problems in posets, lattices and generalized structures.” The work has been appreciated as “rare and lot of hard work.”

Aims:

To conduct a degree course in mathematics which is intellectually challenging and rigorous, ensuring that the graduates are well-placed to pursue postgraduate studies or to enter employment;
To provide students with friendly pastoral and academic support which will help them develop their capabilities in an environment where both independent study and interaction with staff and fellow students are encouraged.

Objectives:

On successful completion of their studies, the students should -

have learned to assimilate substantial body of knowledge in mathematics
have the potential to apply critical and analytical reasoning to mathematical problems,
have developed problem solving skills,
have had the opportunity to take options outside their main area of study, through honours progammes
have the ability to understand and present mathematical arguments and rigorous proofs,
have the ability to comprehend basic levels of abstraction in the study of pure mathematics,
have had the opportunity to enhance their investigative, communication and presentation skills.

Papers Offered

Activities

Staff Members

Profile of the Department

1. Name of the Department:

MATHEMATICS

2. Year of Establishment:

1936

3. Courses / Programmes and subject combinations offered:

a) Mathematics for B.Sc. combinations PCM, PMCsc, MSCsc

b) Fundamentals of Mathematics for BCA (from 2006 onwards)

4. Number of Teaching posts sanctioned and filled

Sanctioned:02

Filled: 02

5. Number of Administrative Staff

6. Number of Technical Staff

7. Number of Students ( Women) Give details course-wise

Academic Year	B. Sc.	IBCA
2005-2006	80	-
2006-2007	48	50
2007-2008	74	77
2008-2009	89	77
2009-2010	50	51
2010-2011	73	59

8. Ratio of Teacher to students

1:123.5

9. Ratio of to Teachers to Research scholars

10 Number of research scholars who have obtained their master’s degree from other institutions

11 Number of teachers in academic bodies of other Autonomous Colleges and Universities

12 Latest revision of the curriculum (year)

In 2010 to be implemented from 2011-12

13 Number of students passed in NET/SLET etc. (last 5 years)

14 Success Rate of students

90%

15 Demand Ratio (No. of seats : No. of applications)

(2010-11) B.Sc. Mathematics: 140:73

BCA: 70:59

16 Awards and recognition received by faculty (last 5 years)

Dr. Adelaide Saldanha received Ph.D. in Mathematics for her thesis titled “Some Enumeration Problems in Posets, Lattices and Generalized Structures.”, from Mangalore University, Mangalagangothri, Konaje, D.K. District, Karnataka, in May 2010,

17 Faculty who have Attended Natl./Intl. Seminars (last 5 years)

Name	Natl	Intl
Dr. Mrs. Adelaide Saldanha	4	1
Mrs Vidya Saraswathi S.	3	-

18 Number of national/ international seminars organized (Last 5 years)

19 Number of teachers engaged in consultancy and the revenue generated

20 Number of Ongoing projects and their total outlay

21 Research projects completed during last five years & their Outlay

22 Number of inventions and patents

23 Number of Ph. D theses guided during the last five years

24 Publications by faculty (last 5 years)

Dr Adelaide Saldanha has published a paper titled “Counting n- element trellises having exactly one pair of noncomparable elements” in the international journal “The Australian Journal of Combinatorics”, in 2008.

25 Average citation index and impact factor of publications

26 Number of Books in the Departmental Library, if any

1050

27 Number of Journals/Periodicals in the departmental library

28 Number of Computers

29 Annual Budget (excluding salary)

Activities

A Written Quiz was conducted in July for all I and II B.Sc. Students and the Solutions were discussed later.
Seminar Competition was conducted for B. Sc. Mathematics Students on general topics of Mathematics.
Classwise Notice Board Display Competition is being conducted.
A session on preparation of models, envelops through embroidary and drawing tessallations or interlocks and symmetrical figures.
A guest lecture on ' Number Theory' was conducted in the month of August.

Honours Programme:

Mathematics for entrance exams – Tutor in the making.

Action plan for the year (2011-2012):

Academic: The board of studies in Mathematics has recommended a new syllabus for B. Sc. Mathematics and BCA Fundamentals of Mathematics courses for the academic year 2011-2012 and the same has been implemented.

Co-curricular Activities Planned:

1.      Quiz Math:

            Written quizzes in Calculus and logical skills were conducted for the students of

            I, III and V semester B.Sc., separately.

2.      Program Math:

        Guest lecture on ‘Mathematical software’ by Miss Sushma, Research scholar in mathematics, NITK, Surathkal, was conducted for the students of  III and V semester B.Sc..

3.      Display Math: Notice board display competition throughout the year.
Certificate Course planned: Mathematical programming in C++.
Extension Activities:

Help Math:Six students of the final year have assisted in training the students of St. Agnes high school to answer NMMS 2011 examination to be held in November.

Visit Math: A visit to the White Doves home has been planned.

Staff Members:

1.	Dr.	Adelaide R.M. Saldanha	M.Sc., M.Phil. Ph. D., PGDCA
2.	Mrs.	Vidya Saraswathi S.	M.Sc., M.Phil.

Future plans for the period November 2011 to April 2012:

1. Work Math: Guest lecture in career guidance for III B. Sc. Students.

2. Talk Math: Seminar competition.

3. Write Math: Essay competition.

4. Draw Math: Mathematical drawing competition, using Mathematical symbols.

5. Share Math: The faculty and students of our department train students of other faculties of both UG and PG sections to answer numerical ability tests.

Papers Offered:

Course Code	Title	Hours per week	Credits
MAT – 101.1	Calculus and Number Theory	7	4
MAT – 201.1	Calculus and Analytical Geometry	7	4
MAT – 301.1	Number Theory and Differential Equations	7	4
MAT – 401.1	Multiple integrals, Functions of several variables and Group Theory	7	4
MAT – 501.1 MAT – 502.1/ MAT – 502.2/ MAT – 502.3/ MAT – 502.4/ MAT – 502.5	Differential Equations and Ring theory 6a) Discrete Mathematics 6b) Numerical Methods 6c) Graph Theory 6d) Linear Programming 6e) Modeling	5 5 5 5 5 5	4 4 4 4 4 4
MAT – 601 MAT – 602.1/ MAT – 602.2/ MAT – 602.3/ MAT – 602.4/ MAT – 602.5	Partial Differential equations, Vector spaces and Real Analysis 8a) Discrete Mathematics 8b) Numerical Methods 8c) Graph Theory 8d) Linear Programming 8e) Modeling	5 5 5 5 5 5	4 4 4 4 4 4

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