Mathematics

Outcomes

Programme Outcomes (POs) – Bachelor of Science (PCM & CS)

• PO1.Disciplinary Knowledge: Demonstrate fundamental and comprehensive knowledge of Physics, Chemistry, Mathematics, and Computer Science, along with their principles and applications.
• PO2. Scientific and Analytical Thinking: Develop logical, analytical, and scientific thinking to understand and solve problems related to science and technology.
• PO3.Problem-Solving Skills: Apply mathematical, computational, and scientific concepts to formulate and solve theoretical and practical problems.
• PO4.Computational Skills: Develop proficiency in programming, computational techniques, data analysis, and the use of appropriate software and digital tools.
• PO5.Experimental Skills: Demonstrate the ability to perform experiments, use scientific instruments, analyze observations, and interpret experimental results accurately.
• PO6.Mathematical Skills: Apply mathematical concepts, quantitative methods, and statistical techniques to solve problems in science, computing, and real-life situations.
• PO7.Research and Innovation: Develop an interest in scientific inquiry, research, innovation,and the ability to explore emerging developments in science and technology.
• PO8.Communication Skills: Effectively communicate scientific and technical information through written, oral, graphical, and digital forms.
• PO9.Teamwork and Professional Skills: Work effectively as an individual and as a member of a multidisciplinary team while demonstrating professional responsibility.
• PO10.Ethical and Social Responsibility: Apply scientific and technological knowledge ethically and responsibly for the benefit of society and the environment.
• PO11.Environmental Awareness: Understand the impact of scientific and technological activities on the environment and promote sustainable practices.
• PO12.Lifelong Learning: Develop the ability and motivation for continuous learning, higher education, professional development, and adaptation to emerging technologies.

Program Specific Outcomes (PSO)

• PSO1.Demonstrate a strong understanding of fundamental concepts and principles of Physics, Chemistry, Mathematics, and Computer Science and their interrelationships.
• PSO2.Apply mathematical, physical, chemical, and computational concepts to analyze and solve scientific and real-life problems using appropriate techniques.
• PSO3.Develop practical skills in laboratory experimentation, scientific observation, data analysis, programming, and computational problem-solving.
• PSO4.Use mathematical and computational tools, programming languages, and software applications for scientific analysis, modelling, simulation, and problem-solving.
• PSO5.Develop the ability to design and conduct basic scientific investigations, interpret experimental and computational results, and draw meaningful conclusions.
• PSO6.Apply interdisciplinary knowledge of PCM and Computer Science to emerging areas of science, technology, research, and industry, while developing readiness for higher studies and professional careers.

Programme Outcomes (POs) – Master of Science (Mathematics)

• PO1.Advanced Mathematical Knowledge: Demonstrate in-depth knowledge and understanding of advanced concepts, theories, and methodologies in pure and applied mathematics.
• PO2.Analytical and Logical Thinking: Develop strong logical, analytical, and critical thinking skills for understanding and analyzing complex mathematical problems.
• PO3.Problem-Solving Ability: Apply advanced mathematical principles and techniques to formulate and solve theoretical and practical problems.
• PO4.Mathematical Modelling: Apply mathematical methods and modelling techniques to solve problems arising in science, engineering, technology, economics, and other disciplines.
• PO5.Computational Skills: Use appropriate mathematical software, computational techniques, programming tools, and digital resources for mathematical analysis and problem-solving.
• PO6.Research Skills: Develop the ability to review mathematical literature, identify research problems, formulate hypotheses, and conduct systematic mathematical investigations.
• PO7.Communication Skills: Effectively communicate mathematical concepts, arguments, and results through written, oral, graphical, and digital forms.
• PO8.Research and Innovation: Develop innovative approaches and demonstrate the ability to contribute to mathematical research and emerging areas of mathematics.
• PO9.Interdisciplinary Application: Apply mathematical knowledge to interdisciplinary problems and collaborate effectively with professionals from other fields.
• PO10.Ethical and Professional Responsibility: Demonstrate academic integrity, research ethics, professional responsibility, and responsible use of mathematical and computational resources.
• PO11.Independent Learning: Develop the ability to pursue continuous learning, higher education, research, and professional development in mathematics and related fields.
• PO12.Societal Contribution: Apply mathematical knowledge and skills to address scientific and societal challenges and contribute to the development of society.

Program Specific Outcomes (PSO)

• PSO1.Demonstrate advanced knowledge and conceptual understanding of major areas of mathematics, including Algebra, Analysis, Topology, Differential Equations, and Applied Mathematics.
• PSO2.Apply advanced mathematical theories, methods, and techniques to formulate and solve complex theoretical and practical problems.
• PSO3.Develop proficiency in mathematical reasoning, proof techniques, problem-solving, and critical analysis of mathematical results.
• PSO4.Use appropriate computational tools, mathematical software, and programming techniques for numerical analysis, modelling, simulation, and mathematical problem-solving.
• PSO5.Develop research aptitude by identifying mathematical problems, reviewing relevant literature, conducting investigations, and interpreting mathematical results.
• PSO6.Apply mathematical knowledge to interdisciplinary and real-world problems in science, technology, engineering, economics, and other relevant fields.

Programme Outcomes (POs) – Ph.D. in Mathematics

PO1.Advanced Mathematical Knowledge: Demonstrate in-depth knowledge and understanding of advanced concepts, theories, and methodologies in mathematics and related areas.

• PO2. Research Competence: Develop the ability to identify research problems, formulate research questions, and conduct independent and systematic mathematical research.
• PO3.Problem-Solving Skills: Apply advanced mathematical reasoning, analytical techniques, and appropriate methodologies to solve complex theoretical and applied problems.
• PO4.Critical and Analytical Thinking: Critically analyze mathematical theories, existing literature, assumptions, and research findings to develop logical and innovative solutions.
• PO5. Mathematical Modelling and Applications: Apply mathematical concepts and techniques to formulate models and address problems in science, engineering, technology, economics, and other interdisciplinary fields.
• PO6.Use of Computational Tools: Demonstrate proficiency in appropriate computational, statistical, and mathematical software/tools for research, analysis, simulation, and visualization.
• PO7. Originality and Innovation: Develop original ideas, approaches, and methodologies that contribute meaningfully to the advancement of mathematical knowledge.
• PO8. Scholarly Communication: Effectively communicate mathematical ideas, research findings, and results through research papers, presentations, seminars, conferences, and academic discussions.
• PO9. Research Ethics: Demonstrate ethical and responsible conduct in mathematical research, including academic integrity, proper citation, avoidance of plagiarism, and responsible use of research data.
• PO10. Interdisciplinary Collaboration: Apply mathematical expertise and collaborate effectively with researchers and professionals from other disciplines to address complex problems.
• PO11.Independent Learning: Demonstrate the ability to pursue continuous learning, critically evaluate emerging developments, and contribute to the evolving body of mathematical knowledge.
• PO12.Contribution to Society: Apply mathematical knowledge and research outcomes to contribute to scientific development, technological advancement, education, and societal well-being.

Program Specific Outcomes (PSO)

• PSO1.Demonstrate advanced and specialized knowledge in pure and applied mathematics and develop a strong understanding of contemporary mathematical theories and methodologies.
• PSO2. Formulate, investigate, and solve complex mathematical problems using appropriate analytical, theoretical, computational, and research techniques.
• PSO3.Conduct independent and original research in mathematics, contribute new knowledge to the field, and disseminate research findings through quality publications, conferences, and scholarly presentations.
• PSO4. Apply mathematical concepts, modelling techniques, and computational tools to address interdisciplinary problems in science, engineering, technology, economics, and other relevant areas.
• PSO5.Critically evaluate existing mathematical literature, identify research gaps, and develop innovative approaches for advancing mathematical research.
• PSO6.Demonstrate ethical research practices, effective academic communication, and the ability to collaborate with researchers and professionals in interdisciplinary environments.

Programme Highlights

• Curriculum aligned with NEP 2020
• Outcome-Based Education (OBE)
• Choice Based Credit System (CBCS)
• Academic Bank of Credits (ABC)
• Skill Enhancement Courses
• Research-based Learning
• Computational mathematics
• Internship & Project Work
• Industry Interaction
• Research Publications
• ICT-enabled Teaching
• Value Added Courses
• Multidisciplinary Learning

Vision

To establish the Department of Mathematics as a centre of excellence in teaching, learning, research, and innovation, fostering mathematical thinking, creativity, and problem-solving skills among students and contributing to scientific and societal development.

Mission

• M1: To provide quality education in mathematics through effective teaching, modern learning methods, and a strong conceptual foundation.
• M2: To develop logical reasoning, analytical thinking, problem-solving, and computational skills among students.
• M3: To encourage research, innovation, and interdisciplinary applications of mathematics in science, technology, and other emerging fields.
• M4: To promote academic excellence through seminars, workshops, projects, conferences, and research activities.
• M5: To nurture ethical, confident, and responsible learners capable of pursuing higher education, research, teaching, and professional careers.
• M6: To promote lifelong learning and contribute mathematical knowledge and expertise towards the development of society and the nation.

Facilities

The Department of Mathematics provides academic infrastructure to support quality teaching and research.

Facilities include:

• Wi-Fi Enabled Campus
• Seminar Hall
• Mathematical software’s
• Research Journals
• Departmental Library

 Research & Publications

The Department actively promotes interdisciplinary research in frontier areas of Pure and Applied Mathematics. Faculty members and research scholars publish research papers in Scopus-indexed, Web of Science, SCI, SCIE, and peer-reviewed journals while participating in funded research projects, consultancy, patents, and collaborative research.

The department encourages students and scholars to participate in conferences, workshops, faculty development programmes, summer schools, and international collaborations.

 Major Research Areas

• Celestial Mechanics
• Fixed Point Theory
• Summability theory
• Optimization Theory

  Research Highlights

• Publications in SCI, SCIE, Scopus, and Web of Science journals
• Books and Book Chapters
• Funded Research Projects
• Patents and Innovations
• National & International Collaborations
• Ph.D. Research Guidance
• Consultancy Activities
• Conference Publications
• FDPs and Workshops
• Promotion of Research Ethics

 Achievements

The Department has consistently excelled in teaching, research, innovation, and community engagement through:

• Highly qualified faculty members
• Research publications in reputed journals
• Patents and research innovations
• Sponsored research projects
• National and international conference organization
• Best paper awards
• Student university ranks
• Placement in higher education and industry
• Alumni achievements
• Community outreach programmes

 Events & Activities

The Department regularly organizes:

1.  Quiz Competition
2. Data Science Learning using Python
3. Model Exhibition
4. Science Day Celebration
5. Poster Presentation Competition
6. Project Exhibition
7. Industrial Visits
8. Internship Programmes
9. Scientific Outreach Activities

 Highlights

• Student Research Projects
• Alumni Interaction
• Skill Development Programmes
• Innovation and Incubation Activities
• Scientific Outreach
• Environmental Awareness Programmes

 Celebration of National Science Day, World Space Week, National Technology Day, Engineers' Day, and other scientific events