MATHEMATICS

About the Department

About the Department

The department of Mathematics was established in the year 2016. The department offers opportunities for the education and research in a wide spectrum of areas in Mathematics such as: Algebra, Analysis, Control Theory, Differential Equations, Discrete Mathematics, Operations Research, Stochastic Modeling and Analysis, Special Functions, Topological Dynamics, Statistics etc. We provide beginners with bridge courses to become acquainted with the preliminaries of mathematics and the techniques to use and train them in the rigor and precision characteristic of mathematical reasoning. Along with teaching, our faculty members are actively engaged in research by participating in conferences/seminars/collaborative works at the national and international institutes/universities. The department has strongly motivated faculty with diverse specialization in Mathematical sciences providing a potential for pursuing higher studies and research in basic sciences as well as in interdisciplinary areas of science, engineering and technology. The department is committed to train the students to make them motivated and dedicated engineers and scientists.

HoD Desk

Dr.S.Nareshkumar

M.Sc., M.Phil., Ph.D.
Head of Department

Vision & Mission

Mission

The department will contribute to the development of students as mathematical thinkers, enabling them to become lifelong learners, to continue to grow in their chosen professions, and to function as productive citizens. To make the students as the technology oriented mathematician through activity based teaching and learning process.

Vision

The Department of Mathematics strives to be internationally recognized for academic excellence through the depth of its teaching and research methodology, and to be locally relevant through its role in the development of the community it serves.

Objective

Create an mathematical environment which promotes the intellectual and professional development of students and faculty.
Provide additional courses for all students which meet the educational and technical demands of the sub-disciplines represented in the Department.

Program Educational Objectives (PEOs)

The B.Sc. Mathematics program describes accomplishments that graduates are expected to attain within five to seven years after graduation.

PEO1 – Acquire knowledge in functional areas of Mathematics and apply in all the fields of learning.

PEO2 – Recognise the need for lifelong learning and demonstrate the ability to explore some mathematical content independently.

PEO3 – Employ mathematical ideas encompassing logical reasoning, analytical, numerical ability, theoretical skills to model real-world problems and solve them.

PEO4 – Develop critical thinking, creative thinking, self confidence for eventual success in career.

PEO5 – Analyze, interpret solutions and to enhance their Entrepreneurial skills, Managerial skill and leadership.

PEO6 –To prepare the students to communicate mathematical ideas effectively and develop their ability to collaborate both intellectually and creatively in diverse contexts.

PEO7 –Rewarding careers in Education, Industry, Banks, MNCs and pursue higher studies.

Syllabus

SRI KRISHNA ADITHYA COLLEGE OF ARTS AND SCIENCE

Affiliated to Bharathiar University

SCHEME OF EXAMINATION – CBCS PATTERN

B. Sc. Mathematics

Best Practices

BEST PRACTICES:

Teaching staff and students are engaged in a joint effort to achieve their educational goals.
To coach slow learners with extra practice and remedial sessions to enhance their performance.
The Department has continuous contact with alumni to utilize their services for placements and guest lectures.
Students are encouraged to take seminar for improving their conceptual skills.
Apart from these we also inculcate responsibility towards society in our students to visit orphanages, and old age homes.

Professional Activities

WEBINAR

Date	Title	Resource Person
22.12.2021	National Mathematics Day-2K21	Dr.S.Palaniammal, Principal,SKACAS.
29.10.2021	Introduction to Fuzzy sets & system	Dr.C.Vijiyalakshmi, Associate Professor, Department of Mathematics, Central University, Tiruvarur.
23.10.2021	Complex Analysis & Its Applications	Dr.C.Vijiyalakshmi, Associate Professor, Department of Mathematics, Central University, Tiruvarur.
25.09.2021	Recent Trends on Abstract Algebra & Applications	Dr.C.Ragavan, Associate Professor & Head, Department of Mathematics, Sri Vidya Mandir Arts & Science College, Krishnagiri.
18.08.2021	Innovations of Mathematics in Engineering	Dr.Ramesh Kasilingam, Assistant Professor, Department of Mathematics, IIT,Chennai
02.05.2020	Insurance- A life Saver	Mr.M.Rajkumar, Senior sales manager, Star health and allied Insurance Co.Ltd, R.S. Puram, Coimbatore.
18.04.2020	Role of mathematics in IT sector	Mr.M.Praveen kumar, Technology Analyst, Infosys.
13.04.2020	Banking Profession – Challenges and Opportunities	Mrs.Sweta Jayesh, The south Indian bank Ltd., Kasaragod, Kerala.
11.04.2020	Futuristic corporate	Mr.A.Deenadayalan, Director of admin operations, CSS crop Pvt.Ltd, Chennai.

GUEST LECTURE

Title	Date	Resource Person	Designation/Organization
Vector Calculus & Fourier Series	15.02.2020 (AN)	Dr.C.Vijayalakshmi,	Professor, Mathematics Division, School of Advanced Sciences, Vellore Institute of Technology, Chennai
Applications of Queuing Models	15.02.2020 (FN)	Dr.C.Vijayalakshmi,	Professor, Mathematics Division, School of Advanced Sciences, Vellore Institute of Technology, Chennai
Induction to vector space and its application	23.01.2020	Dr.T.Tamizh selvam	Senior Professor, Manonmaniam Sundaranar University, Tirunelveli
Application of Fluid Dynamics in Real Life	19.12.2019	Dr.K.Sundaravadivelu	Scientist, Institute of high performing computing, Singapore
Queueing Works on Computer Communication Using Markov Chain	19.09.2019	Dr.B .Krishna Kumar	Professor,Department of Mathematics, Anna University,Chennai.
Optimization Techniques	29.08.2019	Dr.K.Sumathi	Associate Professor and Head , Department of Mathematics, PSGR Krishnammal college for Women,Coimbatore.
Association & Mathletes Club Inauguration	13.07.2019	Dr.S.Saravanan	Professor & Head, Department of Mathematics , Bharathiar University, Coimbatore.
Mathematical Modeling of Industrial Fluid Flows	01.02.2019	Dr.K.Sundaravadivelu	Scientist, Institute of high performing computing, Singapore
National Mathematics Day	26.12.2018	Dr.P.Kandasamy	Former Professor and Head, Department of Mathematics, Bharathiar University
Fundamental Concepts in Modern and Abstract Algebra	14.08.2018	Dr.R.Rakkiyappan	Assistant Professor, Department of Mathematics, Bharathiar University.

MATH CLUB

Title	Date	Resource Person
Short cut in Mathematics	08.04.2022	Club Members
Role of numbers in daily life	06.04.2022	Dr. R. Sowrirajan,Assistant Professor & Head, Dr. N.G.P college of arts and science, Coimbatore
Yoga for Women Excellence	15.03.2022	Dr. D. Sathiyaseelan, Assistant Professor,Department of Mathematics, SKACAS.
Field Visit to crescent Innovation & Incubation Council (A Virtual Walk), Chennai	19.01.2022	Mr. C.N. Premkumar, Incubation Manager, Crescent Innovation & Incubation Council, Chennai
Web designing and Critical thinking	12.08.2021	Dr.Sreejith Vignesh B P, MoE Certified Innovation Ambassador, Head of the Department, Department of Information Technology, SKACAS, Coimbatore-42
Sudoku Solving? Can you break it?	27.11.2021	Dr. S. Nareshkumar, Associate Professor, Department of Mathematics, SKACAS, Coimbatore-42
Institutional Support to Entrepreneurs	11.09.2021	Dr A Sumathi, MoE Certified Innovation Ambassador, Associate Professor, Department of Commerce – Corporate Secretaryship, SKACAS, Coimbatore-42
Awareness Program – To avoid the use of plastics	25.01.2021	Dr. S. Nareshkumar, Associate Professor, Department of Mathematics, SKACAS, Coimbatore-42
Tribute to General Bipin Rawat	10.12.2021	Dr. S. Nareshkumar, Associate Professor, Department of Mathematics, SKACAS, Coimbatore-42
A mathematician cognitive approach towards competitive exams	10.02.2021	Dr.P. Priyadharshini, Assistant Professor, Department of Mathematics, PSG college of arts and science, Coimbatore.
Innovations in Graph theory	28.08.2021	Dr.Sarah Surya, Faculty,Department of Mathematics, Stella Maris College, Chennai-86.
Virtual activity (Student Alumni’s) (Reg Placement) (Students activity)	16.07.2021	Club Members
Blasise Pascal” – French Mathematician’s Birthday (Student’s activity)	29.06.2021	Club Members
Personality Perceptions (Students activity)	28.06.2021	Club Members
Connection (WEBINAR) (Student’s activity)	28.05.2021	Club Members
Application of statistics in Finance and Risk	21.05.2021	Dr.Azarudheen, Assistant professor, Department of Statistics, Christ University, Bangalore, Karnataka.
Application of statistics in Finance and Risk	29.04.2021	Mr. S. Atmaj, A Student Alumni
Student’s activity- Who am I? and Math riddles	21.04.2021	Club Members
A National Seminar on Introduction to Differential Geometry	24.03.2021	Prof. K. Gopalakrishnan, HOD, Department of Mathematics, MES Asmabi College, P. Vemballur, Kodungallur, Thirussur Dist., Kerala.

WORKSHOP

Workshop Title	Date	Resource Persons	Number of Participants
Optimization Techniques and its Applications	04.02.2019	Dr.C.Vijayalakshimi, Professor, Mathematics division, School of advanced science, VIT, Chennai.	123

SEMINAR

Conference Title	Date	Resource Persons	Number of Participants
Fourier series and its Applications	15.02.2020	Dr.C.Vijayalakshimi, Professor, Mathematics division, School of advanced science, VIT, Chennai.	14
Applications Queueing Models	15.02.2020	Dr.C.Vijayalakshimi, Professor, Mathematics division, School of advanced science, VIT, Chennai.	103

VALUE ADDED COURSES/PROFESSIONAL COURSES

Name of the value added courses (with 30 or more contact hours)offered during last five years	Year of offering	Number of students enrolled in the year	Number of Students Completed
Big-Data	2018 -2019	51	51

University Rank Holders

UNIVERSITY RANK HOLDER – 2018-2021

Placement

Presentations & Publications

FACULTY PUBLICATIONS

ACADEMIC YEAR	FACULTY PUBLICATIONS
2025 – 2026	09
2024 – 2025	04
2023 – 2024	03
2022 – 2023	01
2020 – 2021	09
2019 – 2020	11
2018 – 2019	03
2017 – 2018	04

2025 – 26

Palaniammal, S., & Pradeep, M. S. (2025, November). Fuzzy approach to cost optimization in logistics warehouse FFMF/M/1 queuing systems with trapezoidal and pentagonal numbers. International Journal of Science and Innovation Engineering. ISSN: 3049-0251.
Palaniammal, S., & Kumar, M. K. (2025, September). A non-Markovian retrial queue with non-persistent customers, general retrial times along with recurring customers. Reliability: Theory and Applications. ISSN: 1932-2321.
Nareshkumar, S., & Shanmala, C. (2025, August). Spectral bounds for the signless Laplacian matrix of graph: Laplacian matrix, upper bounds along the spectral Laplacian eigenvalue. Utilities Mathematica. ISSN: 0315-3681.
Nareshkumar, S., & Ponnarasu, M. K. (2025, July). Conflict-free academic scheduling: A graph theory approach to university timetabling and resource optimization. International Journal of Scientific Research in Engineering and Management. ISSN: 2582-3930.
Nareshkumar, S., & Shanmala, C. (2025, July). Spectral insights into epidemic dynamics on complex networks. Utilities Mathematica. ISSN: 0315-3681.
Palaniammal, S., & Pradeep, M. S. (2025, June). A state dependent arrival analysis in a non-Markovian bulk queue with server failures. International Journal of Operational Research. ISSN: 1745-7645.
Palaniammal, S., & Rajkumar, V. C. (2025, June). A study on r-hued colouring of prism graph families. Advances and Applications in Discrete Mathematics. P-ISSN: 0974-1658, E-ISSN: 3049-2157.
Palaniammal, S., & Rajkumar, V. C. (2025, May). On star coloring of tensor product of graphs. Nonlinear Studies. ISSN: 1359-8678.
Palaniammal, S., & Pradeep, M. S. (2025, May). A fuzzy cost optimization approach in smart waste collection system using WFMF/M/M/1 queuing system. Asian Research Journal of Mathematics. ISSN: 2456-477X.

2024 – 2025

Saranya, M. S. (2024, October). Possibility interval-valued intuitionistic fuzzy soft sets to protect the critically endangered species from the Mudumalai Forest, Nilgiris, South India. Tianjin Daxue Xuebao (Ziran Kexue yu Gongcheng Jishu Ban) / Journal of Tianjin University Science and Technology. ISSN: 0493-2137.
Krishnan, J. (2024, September). Enhancing process capability analysis for log-normal data utilizing Box–Cox transformation and goodness-of-fit tests. Reliability: Theory and Applications. ISSN: 1932-2321.
Krishnan, J. (2024, June). A study on the impact of transforming parameter in Box–Cox transformation for non-normal data to enhance process capability. Reliability: Theory and Applications. ISSN: 1932-2321.

2023 – 2024

Krishnan, J. (2024, March). Process capability analysis for non-normal data based on Box–Cox transformation through tests of goodness of fit. Reliability: Theory and Applications. ISSN: 1932-2321.
Mohanapriya, R., & Santhiya, S. (2024, March). A new notion of hexa regular closed sets via hexa topological space. A New Notion of the Oriental Institute. ISSN: 0030-5324.
Mohanapriya, R., & Santhiya, S. (2024, February). A note on subspace hexa graph topological space. Journal of Tianjin University Science and Technology. ISSN: 0493-2137.
Mahalakshmi, T. (2024, January). MHD mixed convection inside double wall driven enclosure containing Ag–water nanofluid and corner heater. Journal of Applied Nonlinear Dynamics. ISSN: 2164-6473.

2022 – 2023

Mohanapriya, R. R. (2023, April). Dynamic output feedback H-control for TS fuzzy systems with probabilistic faults and time-varying input delay. International Journal of Dynamical Systems and Differential Equations. ISSN: 1752-3591.

2020- 21

Mohanapriya, R. (2021, April). Fault tracking sliding-mode controller design for fuzzy fractional-order system subject to actuator saturation. International Journal of Dynamics and Control. ISSN: 2195-2698.
Mohanapriya, R. (2021, April). Finite-time fuzzy reliable controller design for fractional-order tumor system under chemotherapy. Fuzzy Sets and Systems. ISSN: 0165-0114.
Palaniammal, S. (2020). NLMS: Network load based queue monitoring and scheduling. Journal of Critical Reviews. ISSN: 2394-5125.
Palaniammal, S. (2020, October). Adaptive quality of service based routing and queue management for mobile ad hoc networks using hybrid ACO and GA. Advances in Mathematics: Scientific Journal. ISSN: 1857-8365.
Palaniammal, S. (2020, October). Optimization approach for examining the M/M/C queuing model for balking and reneged customers by hybrid approach. International Journal of Advanced Research in Engineering and Technology (IJARET). ISSN: 0976-6480.
Palaniammal, S. (2020, September). Single server retrial queuing model with waiting time before vacation. Journal of Seybold Report. ISSN: 1533-9211.
Palaniammal, S. (2020, August). NS(Wγ) separation axioms in neutrosophic topological spaces. Journal of Physics. 1597(2020)012048.
Palaniammal, S. (2020, August). NS(Wγ) closed sets in neutrosophic topological spaces. Journal of Physics. 1597(2020)012048.
Palaniammal, S. (2020, July). Delay reduced adaptive queue scheduling and routing algorithm for MANET. Solid State Technology. ISSN: 0038-111X.
Palaniammal, S. (2020, July). Artificial neural network simulation for Markovian queuing models in a busy airport. In Proceedings of the IEEE 2020 International Conference on Computer Science, Engineering and Applications (ICCSEA). ISBN: 978-1-7281-5831-0.

2019 – 2020

Palaniammal, S. (2020, April). Artificial neural network simulation for Markovian queuing models. Indian Journal of Computer Science and Engineering (IJCSE). ISSN: 2231-3850.
Palaniammal, S. (2020, March). Neutrosophic (RWG) continuous mappings and contra (RWG) closed and open mappings. TEST – Engineering and Management. ISSN: 0193-4120.
Jayalakshmi, A. (2020, March). On Wγ-closed sets in supra topological spaces. International Journal of Advanced Science and Technology. ISSN: 2618-2625.
Palaniammal, S. (2020, January). Neutrosophic weakly generalized open and closed sets. Neutrosophic Sets and Systems. ISSN: 2331-608X.
Palaniammal, S. (2020, January). Neutrosophic weakly π generalized continuous mapping. Science, Technology and Development. ISSN: 0950-0707.
Palaniammal, S. (2019, December). Neutrosophic regular weakly generalized homeomorphism. The International Journal of Analytical and Experimental Modal Analysis. ISSN: 0886-9367.
Palaniammal, S. (2019, November). Simulation of boarding time prediction using M/M/C/K queuing model for airport passengers. International Journal of Recent Technology and Engineering (IJRTE). ISSN: 2277-3878.
Palaniammal, S. (2019, October). An ANN simulation of single server with infinite capacity queuing system. International Journal of Innovative Technology and Exploring Engineering. ISSN: 2278-3075.
Nareshkumar, S., & Marry Tency, E. L. (2019, October). Optimizing the total cost in job allocation. International Journal of Scientific Research in Engineering and Management. ISSN: 2590-1892.
Nareshkumar, S. (2019, June). A study on application of Runge–Kutta method with respect to traffic flow problem. Journal of Emerging Technologies and Innovative Research. ISSN: 2349-5162.
S.Nareshkumar (2019). A Study on Application of Runge- Kutta Method with respect to Traffic Flow Problem, Journal of Emerging Technologies and Innovative Research Vol-6, issue-6(122-126).
S.Nareshkumar (2019). Optimizing the total cost in job allocation, International Journal of Scientific Research in Engineering and Management, Vol-3,issue-10. 3.
Vivek S, Ms.Dhanya G, Ms.Rohini R,(2018), A Case Study on Projectile motion, International Journal of Trend in Scientific Research and Development, Vol-2(Issue 3). 4.
Vivek S, Ms.Dhivya Dharshini S, Ms.Megala R, (2018), A Study on Minimal Spanning Tree on Network Flow, International Journal of Trend in Scientific Research and Development, Vol-2(Issue 5).
Saranya M, (2018), “𝜇 – 𝛼 Semi Generalized Closed Sets in Generalized Topological Spaces, “International Journal of Mathematical Archive” ISSN: 2229 – 5046, 9 (4),1 – 5.
Krishnan J,(2018). “Statistical Analysis on Banking Sector Employee’s Connotation in Job Seeking” International Journal of Advance Research in Science and Engineering Volume No. 07, Special Issue No. (05), ISSN: 2319 8354.
Krishnan J, (2018). Banking Sector Employee’s Importance in Job Seeking with Reference to Experience, International Journal of Creative Research Thoughts, Volume No. 6, Special Issue No. 2, ISSN: 2320 2882.
Krishnan J, (2018). Forecasting crude oil price using ARIMA models, International Journal of Advance Research in Science and Engineering Volume No. 07, Special Issue No. (01), ISSN: 2319 8354.
Krishnan J, (2018). “A study on whole sale price based inflation rate in india”, International Journal of Advance Research in Science and Engineering Volume No. 07, Special Issue No. (01), ISSN: 2319 8354.

FACULTY PRESENTATIONS

Academic Year	2019 – 2020	2017 – 2018
Faculty Presentation	04	06

STUDENT PUBLICATIONS

ACADEMIC YEAR	2018 – 2019	2017- 2018
STUDENT PUBLICATIONS	4	13

ACADEMIC YEAR	2018 – 2019	2017- 2018
STUDENT PRESENTATIONS	9	6

Student Achievements

STUDENTS PUBLICATIONS

Akash S of III B.Sc Mathematics, Sri Krishna Adithya College of Arts and Science cleared JAM 2022.
Akash S, Cleared NPTEL Course on the topic Introduction to Abstract and Linear Algebra with Silver Elite Certification.
Deepa N of 2018-2021 batch secured University V rank.
Akash S, Cleared NPTEL Course on the topic Laplace Transform with Elite Certification.
Lalitha R, Cleared NPTEL Course on the topic Laplace Transform with Elite Certification.
Atmaj S of III B.Sc Mathematics, Sri Krishna Adithya College of Arts and Science has Awarded as a Swamy Vivekanandhar Ilaingar Sathanaiyala held at Bharathiar University on March 2018.
Ms.N.Selva Nandhini, II B.Sc Mathematics Sri Krishna Adithya College of Arts and Science, Coimbatore has participated and won the third prize in “Kavithai Competition” at Sri Krishna College of Engineering and Technologies held on 22 Jan 2018
Ms.S.Mathumitha and Ms.S.S.Geethu Sharon I B.Sc Mathematics, Sri Krishna Adithya College of Arts and Science has participated in math modeling in the event New horizons in Mathematics and participated and had secured First place held at Rathinam college of arts and science on 4 Jan 2018
Ms.N.Priyanga and Ms.M.Hindhuja I B.Sc Mathematics, Sri Krishna Adithya College of Arts and Science has participated in math modeling in the event New horizons in Mathematics and participated and had secured Second place held at Rathinam college of arts and science on 4 Jan 2018.
Ms.J.Niranjana and Ms.R.Nisha I B.Sc Mathematics, Sri Krishna Adithya College of Arts and Science has participated in math modeling in the event new horizons in Mathematics and participated and had secured Third place held at Rathinam college of arts and science on 4 Jan 2018.
Atmaj S of I B.Sc Mathematics, Sri Krishna Adithya College of Arts and Science has Selected as a Mr.Mathematician in MATHLETICS 2016 held at Kongunadu college of arts and science on 28 Sep 2016.