Mathematics

Department of Mathematics

Established in 1966

The Department of Mathematics strives to empower students with the knowledge and skills to understand and apply the universal language of science: Mathematics. As part of the B.Sc. program, the department integrates practical components into each unit of every paper, ensuring hands-on learning. The department’s association-“SIGMA”, fosters a collaborative academic environment through engaging workshops, competitions, and seminars. Additionally, the unique Math Clinic programme serves as a platform for discussions, mentoring, and expert talks on mathematics and its interdisciplinary applications.

Highlights of the Department

  • The department is led by a team of qualified and dedicated faculty members, ensuring quality education and personalized mentoring.
  • Extensive career guidance and life skills programs are designed to prepare students for professional and personal success.
  • Students actively engage in extension activities beyond the curriculum to enhance their academic and practical knowledge.
  • Value-added and certification programs are offered to enrich the curriculum and boost employability.
  • MOOC certification programs are encouraged to broaden learning opportunities and skillsets.
  • Additional activities such as mini-projects and field visits provide practical exposure, enabling students to apply theoretical concepts in real-world scenarios

Elective subjects offered by the department: NEP

Scheme Sl. No. Semester Title of the elective papers
NEP
1
I
Mathematics – I  (Sciencestream)
2
Business Mathematics –I (Non -Sciencestream)
3
Mathematics for Business and     Economics – I (Non-Sciencestream)
4
II
Mathematics II (Sciencestream)
5
Business Mathematics – II (Non -Sciencestream)
6
Quantitative Techniques (Non -Sciencestream)
7
III
Ordinary Differential Equations (Sciencestream)
8
Quantitative Mathematics (Non -Sciencestream)
9
Vedic Mathematics (Non -Sciencestream)
10
IV
Partial Differential Equations (Sciencestream)
11
Mathematical Finance (Non -Sciencestream)
12
Mathematics for Social Sciences (Non -Sciencestream)
SEP
1
III
Quantative Techniques (Science stream)
2
IV
Vedic Mathematics (Science stream)

Did You Know ?

“Mathematics is the language in which the universe speaks, and a mathematician is its poet. Through the elegance of numbers and patterns, he unveils the hidden symmetry of nature.”

-Srinivasa Ramanujan

Association & Activities

Innovative Learning & Student Engagement

  • We provide strategic planning, budgeting, and a comprehensive induction program to ensure students are well-prepared for academic life, with a bridge course to ease transitions into advanced topics.
  • Regular meetings, diagnostic surveys, and assessments track student progress, identify learning gaps, and enable timely interventions for continuous improvement.
  • Assignments, student research projects, and the departmental library encourage critical thinking, independent learning, and intellectual curiosity, allowing students to explore and showcase their achievements.
  • Remedial sessions and special attention for slow learners ensure that every student gets the support they need to master key concepts and succeed academically.
  • Research and technology integration through student and junior research projects, along with tools like LCDs and CAL packages, inspire students to innovate and apply their learning to real-world problems.
  • A wide range of assessments, including unit tests and question banks, ensures thorough preparation and gives students the opportunity to reflect on their learning through constructive feedback.
  • Faculty mentorship provides personalized guidance to students, supporting both academic and personal growth while fostering an engaging learning environment.
  • Parent-teacher communication builds a strong support network, ensuring that students receive holistic care and guidance throughout their academic journey.
  • Co-curricular activities and workshops expose students to career opportunities in mathematics, helping them connect academic learning to real-world professions.
  • The department encourages regular participation in seminars, guest lectures, and workshops to broaden students’ horizons and introduce them to new ideas and trends in mathematics.
  • Interactive platforms like TED lectures, short-term certificate courses, and power point presentations help deepen understanding while stimulating intellectual curiosity and global perspectives.
  • We promote student engagement through group discussions, quizzes, study circles, and other activities that foster teamwork, critical thinking, and creative expression.

Holistic Student Development and Engagement

  • The curriculum is designed to be relevant and engaging, linking classroom learning to real-world applications.
  • TED Talks, research videos, and short-term certificate courses deepen students’ understanding and expand their global perspectives.
  • Value education helps shape well-rounded individuals by instilling essential ethics, responsibility, and respect.
  • Interactive classroom activities such as seminars, quizzes, and PowerPoint presentations enhance leadership, public speaking, and critical thinking skills.
  • Study circles and group discussions promote collaborative learning, making complex concepts easier to understand through peer interaction.
  • Extra-curricular activities encourage creativity, teamwork, and personal development beyond academics.
  • The SIGMA Association provides a platform for students to collaborate, share projects, and showcase their mathematical talents.
  • Guest lectures, alumnae interactions, and national seminars keep students connected to industry trends and offer mentorship and career insights.
  • Extension activities engage students in community outreach, applying mathematical knowledge for social impact.
  • The “Maths for Schoolchildren” program ignites curiosity and passion for mathematics in young minds, helping shape future leaders in the field.

Best Practices

  • Regular parent-teacher and one-on-one interactions provide personalized guidance and ensure continuous support for academic and personal growth.
  • Value presentations and showcasing the contributions of renowned mathematicians inspire students to aim for excellence and contribute meaningfully.
  • Feedback from stakeholders helps refine teaching methods, ensuring an improved learning experience for students.
  • Group discussions and current affairs presentations connect mathematical concepts to real-world challenges, broadening student perspectives.
  • Community empowerment initiatives encourage students to apply their mathematical knowledge to create a positive social impact.

Community Orientation

Webinars and Motivational Talks

  • Department of Mathematics and Sanskrit in association with IQAC  organized One Day National Conference on “Ganita-Samskrita Sangama “ on 24 September 2025
  • Department of Mathematics and IQAC in association with Manipal Institute of Technology organized One Day National Seminar on “Computational Mathematics: in Navigating Complex Real World Issues” on 29 August 2024.
  • One day National seminar was organized on “Scientific Heritage of India in association with Dept. of Physics, Dept. of Sanskrit, and Centre of Excellence for Indian Knowledge Systems, IIT Kharagpur with support of AICTE-IKS division New Delhi, Physics Teachers association of Mangalore University on 26 February 2024.
  • Organized a webinar on "Mathematics and Common Sense" in association with   Pilikula Regional Science Centre, Mangalore, on 9 December 2022.
  • Hosted a motivational talk on "Indian Culture and Its Significance in Real Life" by Mr. Thirumalesh Rao N. K on 3 November 2022 under the SDM Social Responsibility Initiative.
  • Under MoU  the Department of Mathematics organized a webinar on “Algorithms and Mathematics” in Association with the Department of Mathematics, St. Joseph Engineering College, Mangaluru on 12 February 2022 in Online mode.
  • Arranged a program on "Bhagavad Gita and Life Values" by Dr. Ramachandra Purohit, Assistant Professor, Department of Sanskrit, on 13 December 2021 as a part of its social responsibility efforts.

 Workshops and Skill Development

  • The department organized one day workshop course on “Computer Applications” from 18-22 January2025 to all BSc students. Ms. Deepa R P, Assistant Professor, Dept. of Computer Science inaugurated the program
  • On 10 February 2024  a workshop on “ Know about-M.S.Word “ was organized in Computer Lab. Mr. SatheeshChandra P.D was the Chief Guest of the Programme, he emphasized the importance of the computer skills in getting an employed in IT Industry.
  • Conducted a 20-day workshop on Python programming to enhance technical skills.
  • Organized a “One-Day Workshop on Mathematics and Origami” for B.Sc. students on 7th March 2013.
  • Conducted a one-day program for National Mathematical Year (NMY) 2012 on 14 December 2012.
  • Hosted a district-level workshop, "Unique Workshop for 8th to 10th Std Students of Belthangady, Puttur, and Bantwal," on 9 February 2012.

Student Engagement and Community Outreach

  • Mr. B. Ganesh Nayak has delivered a talk on “Mathematics application in Real Life” as a part of “Expand Lecture Series” at SDM Secondary High School, Ujire on 30 December 2024.
  • Ms. Akshatha B has delivered a talk on “Matrices and its applications in daily life” as a part of  “Expand Lecture Series” at SDM Secondary High School, Ujire on 30 December 2024 
  • Ms. Akshatha B has delivered a talk on “History of Graph Theory and it’s Applications in Real Life” as a part of “Expand Lecture Series” at SDM High School, Belal on 19 December 2024.
  • Mr B. Ganesh Nayak has delivered a talk on “Easy Mathematics on 3 November 2023 as a part of share lecture series programme arranged to SDM Kannada Medium  School, Dharmasthala.
  •  Mr B. Ganesh Nayak has delivered a talk on ‘Easy -Math Techniques’ to Government High School students of Badanaje village, Belthangady Taluk under Share lecture series programme on 23 December 2021.
  • B.Sc. students gave a demonstration on mathematical models to pupils of SDM State English Medium School, Ujire, on 24 July 2020.
  • Conducted a guest talk on “Application of Matrices” by Ms. Akshatha, B., for 8th Std. students of SDM Kannada Medium School, Belal, on 18th February 2020.
  • Mr. B. Ganesh Nayak has guided high school students in preparing three mathematics projects under the "SDM Incubator Program" from 31 March to 5 April 2017.

 Expert Sessions

  • A Career Guidance programme organized on “Future Prospectus and Industrial scope in jobs on pursuing Post graduation in Statistics “ by Mr. Pradeep K   to  B.Sc students on 25 March 2025
  • A Career Guidance programme on “Career opportunities in B.Ed -Future Prospectus" organized by the Mathematics Department to B.Sc students.Mr. Thirumalesh N. K Assistant professor SDM Education College Ujire delivered a talk on opportunities available in the course and future prospectus of the course. Ms Priyadarshini Assistant Professor of SDM D.Ed College and two B. Ed students shared their experience on it on 13 March 2025
  • Organized a career guidance programme on “Building a Winning Resume”. The Resource Person Mr. Ashwith H.R, HOD of B.VoC & Supply Chain Management guided the students how to format the resume in effective way on 04 March 2025
  • Organized a guest lecture on " The Role of Mathematics in Civil Engineering" by Dr. Raveesh Padumale  Head and Associate Professor of  Civil  dept, SDMIT, Ujire on 24 December 2024
  • Organized a guest lecture on "Application of Mathematics in Engineering and Real Life" by Dr. Sandeep R, Professor, Dept. of ECE, SDMIT, Ujire on 12  July 2024.
  • Organised a guest lecture on “Matheamtics is  the Language of Universe” by Dr. Harsha A.J  Assistant Professor in Mathematics, St. Joseph Engineering College, Vamanjoor, Mangaluru, on the eve of National Matheamtics Day celebration on 12  February 2024.
  • Organized the a Guest Lecture on “ Application of Mathematics in Engineering” by Dr. Subrahmanya Bhat, Assistant Professor, SDMIT College, Ujire on 01 September 2023.
  • Organized guest lecture by Prof. T. Prakash Prabhu on the topic “Maths, Music and Fun” was organized on 26 November 2021.
  • Hosted a guest talk by alumnus Mr. Narashima Shenoy, Senior Principal Engineer at Collins Aerospace, Bangalore, on "The Relevance of Mathematics in Industry" on 7 December 2019.
  • Inaugurated the “SIGMA Association” with a guest lecture on "Number Theory – Results on Quotient Residues" by Dr. Shivaraj Kumar from NIT Mysore on 10 July 2019.

Special Initiatives and Add-on Courses

  • On 10 February 2024 a Workshop on Know about- Google Suitwas organized in Computer Lab. Mr. SatheeshChandra P.D was the Chief Guest of the Programme.
  • Organized one-day workshop “Learn Math through Origami” to commemorate the birth anniversary of Srinivasa Ramanujan, where Dr. Adelaide D’sa demonstrated constructing mathematical models through paper folding on 22  December 2022.
  • Conducted an add-on course on SCILAB & MAXIMA for B.Sc. students on 8 January 2020, where 25 students successfully completed the program under the guidance of Ms. Akshatha, B., and Ms. Poojitha Varma Jain

Research Output

The Department is actively associated with theme based research activities and the  areas of research are:

  • Graph Theory
  • Numerical Analysis
  • Linear Programming

Publications

  • B. Ganesh Nayak, Insight into youth Employment through skill development in India’s Evolving Economy, ANVESAK(January-June: 2025)-a UGC Care Group-1, Peer revived Journal, Sardar Patel Institute of Economic and Social Research. ,ISSN No:0378-4568 Vol.55, No.01 (I):
  • B. Ganesh Nayak, Cultural Aspect of Mathematics: Investigating Ethno mathematics in Education, International Level Journal –SHODHA(2025)-a Biannual Bilingual Research Periodical published b by Dr. HAMANA Research Center, Sri. D.M. College, Ujire, D.K. ISSN: 2249-0396 Volume -14 No-2 , Page No.112-120 
  • B. Ganesh Nayak,  Profit Optimization in Agricultural Crop Production in Belthangady Taluk Using Linear Programming Models, LOUIS SAVIENIEN DUPUIS Journal of Multidisciplinary Research bearing IISN No: 2584-0061 on 13 December 2024
  • Dr. Narahari N, Pooja N, Akshatha B, Sooryanayayana B.  Magic Sigma Coloring of Bridged Graphs. Recent development in the mathematical science, 2024, ISBN-13. 978-8197424410: 76-89.
  • B. Ganesh Nayak Relevance of mathematics in the financial sector: an Indian perspective, JUNI KHYAT(2024) with ISSN No. 2278- 4632, Vol 14, Issue- 7, No. 04, p. NO. 46-49.
  • Akshatha B, Confrontations and Concerns in Quality Education: An Introspection, Seminar Proceedings of National Seminar on Indigenous Practices in Higher Education in India: Steps Ahead’ organized by Dept. of Economics, SDM College, Ujire, ISBN 978-93-5813-749-1, 2023.
  • B. Ganesh Nayak, Akshatha B,  Role of Digitalization in Higher education, Seminar Proceedings of National Seminar on Indigenous Practices in Higher Education in India: Steps Ahead’ organized by Dept. of Economics, SDM College, Ujire, ISBN 978-93-5813-749-1, 2023 
  • B. Ganesh Nayak ,The Impact of COVID-19 on Mental Health of Faculties and Students of Higher Education Institutions in Dakshina Kannada District, ANVESAK(2022) (Sardar Patel Institute of Economic and Social Research), Vol. 52, No. 8(1), ISSN 0378-4568, on pages 74–83, with an impact factor of 6.20.
  • B. Ganesh Nayak, Akshatha B ,Inculcation of Ethnomathematics in Mathematics Education-A Study", AEGAEUM JOURNAL(2021) Vol. 09, ISSN 0776-3808, on pages 220–225, with an impact factor of 6.1.
  • B. Ganesh Nayak, Akshatha B  ,Changing Scenario of Employability in India – A Perspective Analysis, International Journal of Multidisciplinary Educational Research(2020), Vol. 09, Issue No. 11(1), ISSN 2277-7881, on pages 62–69, with an impact factor of 6.514.
  • B. Ganesh Nayak, A Multidisciplinary Approach for Empowerment of Knowledge through Skill Development, PERTINENT PROBES(2018), Issue No. 1, on pages 40–49, with an ISBN of 978-93-84539-12-2.
  • B. Ganesh Nayak ,Going Beyond Curriculum: Teaching, Learning, and Research with Emphasis on Introduction of General Mathematics, ASIAN JOURNAL OF MULTIMEDIA RESEARCH(2013), Vol. 06, Issue No. 07, ISSN 2278-4853, on pages 78–82, with an impact factor of 4.708.

Scheme & Syllabus

Faculty

List of Board of Studies Members

Department Gallery