Programme Educational Outcomes - Department of Mathematics & Statistics

PEO's

(Programme Educational Outcomes)

Utilize strong foundations in Mathematics along with the Computer Science, Physics, Chemistry, or Statistics to analyze and solve real-world scientific, technological, and societal problems.
Demonstrate competence to continue advanced studies, interdisciplinary research, and professional development in Mathematics and allied sciences.
Strengthen logical reasoning, computational proficiency, and observational skills through rigorous theoretical and practical training across disciplines.
Take up roles in academia, research organizations, industry, and administrative services by applying acquired knowledge, problem-solving ability, and adaptability.
Recognize the importance of ethical practices, teamwork, communication, and lifelong learning to contribute responsibly to scientific and technological advancement and societal well-being.

Students will acquire a strong foundation in Statistics, Mathematics, and Computer Science, enabling them to apply analytical reasoning, quantitative modeling, and computational techniques to solve complex academic, industrial, and societal problems.
Students will be well-prepared to pursue higher studies, research, or professional careers in Statistics, Data Science, Mathematics, Computer Science, or interdisciplinary domains, and adapt to evolving technological advancements.
Students will develop the ability to design models, analyze data, and create innovative solutions using mathematical, statistical, and computational tools to address challenges in industry, academia, and research.
Students will uphold ethical values, integrity, and professional conduct, applying their knowledge responsibly to contribute positively to society while respecting data privacy, sustainability, and inclusive practices.
Students will engage in continuous learning, skill enhancement, and professional development, preparing them to take on leadership roles, work in multidisciplinary teams, and contribute effectively to global scientific and technological progress.

To equip students with knowledge, abilities and insight in Mathematics and related fields.
To enable them to work as a mathematical professional.
To develop the ability to utilize the mathematical problem solving methods such as analysis modeling, and programming and mathematical software applications in addressing the practical and heuristic issues.
To enable students to recognize the need for and the ability to engage in life-long learning.
Provide significant opportunities in various service domains at national and international levels like banking, insurance, government jobs, consultancy, teaching, defence, industry, research and entrepreneurial pursuit.

To equip students with knowledge, abilities and insight in Statistics and related fields.
To develop the ability to utilize the Statistical problem solving methods such as analysis, modeling, and programming and statistical software applications in addressing the practical and heuristic issues.
Have significant opportunities in various service domains at national and international levels like Statistical services, banking, insurance, government jobs, consultancy, teaching, defense, industry, research and entrepreneurial pursuit.
Providing an education that focuses on communication skills, the ability to lead a team, devoted to solve the problems of society.
Develop reputed professionals in the field of Statistics with an ethical attitude and the ability to engage in lifelong learning.

Demonstrate comprehensive knowledge and practical expertise in core areas of data science, including statistics, machine learning, data mining, and programming, to effectively analyze and address complex, real-world data challenges.
Build successful careers in industry, academia, or research as data scientists, analysts, or scholars, while actively engaging in lifelong learning to stay abreast of emerging trends and technologies in the field.
Apply innovative thinking and leverage modern tools and technologies to develop effective data-driven solutions and contribute to interdisciplinary research initiatives that advance knowledge and practice.
Uphold professional integrity, ethical standards, and social responsibility in all aspects of data handling and analysis, ensuring compliance with data privacy regulations, governance policies, and sustainable practices.
Exhibit strong communication, collaboration, and leadership skills in multidisciplinary team environments, contributing meaningfully to collective goals while adapting to dynamic professional settings.

PO's

(Programme Outcomes)

Critical Thinking- Demonstrate an understanding of major concepts in Mathematics and allied disciplines Computer Science, Physics, Chemistry, Statistics grasp fundamental principles, scientific theories, and their applications to explain real-life phenomena.
Effective Communication- Develop strong communication skills—including reading, writing, listening, and speaking—to express ideas, analyses, and research findings clearly and effectively.
Social Interaction- Cultivate a scientific outlook and rational thinking not only in academic pursuits but also in day-to-day life and social interactions.
Effective Citizenship- Internalize moral and social values that foster responsibility, inclusiveness, and a cultured personality to contribute positively as responsible citizens.
Ethics- Apply ethical principles, uphold academic integrity, and recognize responsibilities to serve the society with honesty and fairness.
Environment and Sustainability- Understand contemporary environmental challenges, appreciate the importance of sustainability, and apply scientific knowledge towards sustainable solutions.
Self-directed and Lifelong learning- Engage in self-paced, independent, and lifelong learning for continuous personal and professional development, adapting to new knowledge and emerging technologies.

Critical Thinking- Apply strong foundational knowledge in Statistics, Mathematics, and Computer Science to analyze and solve complex quantitative problems.
Effective Communication- Convey technical findings and mathematical or statistical insights clearly through written reports, visualizations, and presentations, tailored to both technical and general audiences.
Social Interaction- Demonstrate teamwork and collaboration in project-based work, fostering peer learning and interdisciplinary engagement.
Effective Citizenship- Use quantitative skills responsibly to contribute meaningfully to society—through data-informed policies, ethical research, and service in industry or public sector.
Ethics- Uphold academic and professional integrity by maintaining ethical standards in data handling, computing, modelling, and respecting privacy and intellectual property.
Environment and Sustainability- Leverage quantitative methods to study and propose sustainable solutions for environmental and societal challenges—such as resource allocation, climate modelling, or sustainable development policies.
Self-Directed and Lifelong Learning- Cultivate a habit of lifelong learning by staying updated with new tools, statistical techniques, and computational advancements, preparing for higher education or professional growth.

Critical thinking: In depth knowledge of basic fundamentals of pure and applied mathematics. Capability to demonstrate knowledge and understanding of major mathematical concepts, theoretical principles and experimental findings. Ability to use mathematical tools and techniques with fundamental analysis to employ critical thinking and efficient problem solving skills in pure and applied mathematics.
Effective Communication: Excellent communication skills to transmit complex technical information related to mathematics in a clear and concise written and verbal manner as oral presentations and compilation in the form of scientific reports.
Social Interaction: Comprehend to apply mathematical principles and ethics to assess societal and cultural issues related to life.
Effective Citizenship: Imbibe moral and social values in personal and social life leading to highly cultured and civilized personality.
Ethics: Students will be able to recognize the ethical component of complex situations. Acquired with awareness of work ethics and ethical issues in mathematical research as well as plagiarism policies.
Environment and Sustainability: Advanced knowledge of fundamentals of mathematics with enhanced command over modern mathematical methods, techniques equipped with environment safety measures.
Self-directed and Lifelong learning: Students will be capable of self-paced self-directed learning aimed at personal development and for improving knowledge/skill development. They will keep themselves updated with the best international practices and latest development in technologies, which will help them to gain a broader global perspective of the subject. Develop awareness of the role and importance of applied and pure mathematics in interdisciplinary research as well as in daily life.
Research related skills: Develop ability to adopt changing scientific environment in the process of sustainable development by using mathematical tools.

PO1 Critical Thinking: In depth knowledge of basic fundamentals of pure and applied statistics. Capability to demonstrate knowledge and understanding of major statistical concepts, theoretical principles and experimental findings. Ability to use statistical tools and techniques with fundamental analysis to employ critical thinking and efficient problem solving skills in pure and applied statistics.
PO2 Effective Communication: Excellent communication skills to transmit complex technical information related to statistics in a clear and concise written and verbal manner as oral presentations and compilation in the form of scientific reports.
PO3 Social Interaction: Comprehend to apply statistical principles and ethics to assess societal and cultural issues related to life.
PO4 Effective Citizenship: Imbibe moral and social values in personal and social life leading to highly cultured and civilized personality.
PO5 Ethics: Students will be able to recognize the ethical component of complex situations. Acquired with awareness of work ethics and ethical issues in statistical research as well as plagiarism policies.
PO6 Environment and Sustainability: Advanced knowledge of fundamentals of statistics with enhanced command over modern statistical methods, techniques equipped with environment safety measures.
PO7 Self-directed and Lifelong learning: Students will be capable of self-paced self-directed learning aimed at personal development and for improving knowledge/skill development. They will keep themselves updated with the best international practices and latest development in technologies, which will help them to gain a broader global perspective of the subject. Develop awareness of the role and importance of applied and pure Statistics in interdisciplinary research as well as in daily life.
PO8 Research related skills: Develop ability to adopt changing scientific environment in the process of sustainable development by using statistical tools.

PO1 Critical Thinking: Apply advanced knowledge of data science to solve real-world data science problems.
PO2 Effective Communication: Excellent communication skills to transmit complex technical information related to data science in a clear and concise written and verbal manner as oral presentations and compilation in the form of scientific reports.
PO3 Social Interaction: Comprehend to apply statistical principles and ethics to assess societal and cultural issues related to life.
PO4 Effective Citizenship: Imbibe moral and social values in personal and social life leading to highly cultured and civilized personality.
PO5 Ethics: Recognize the ethical component of complex situations. Acquired with awareness of work ethics and ethical issues in data science research as well as plagiarism policies.
PO6 Environment and Sustainability: Advanced knowledge of fundamentals of data science with enhanced command over modern statistical methods, techniques equipped with environment safety measures.
PO7 Self-Directed and Lifelong Learning: Function effectively as an individual and as a member or leader in diverse teams and in multidisciplinary settings.
PO8 Research Related Skills: Recognize the need for and have the preparation and ability to engage in independent, life-long learning in the context of technological change.

PSO's

(Program Specific Outcomes (PSOs))

Graduates will demonstrate comprehensive knowledge of Mathematics and its applications in allied subjects such as Computer Science, Physics, Chemistry, or Statistics.
Students will be able to apply mathematical tools, computational methods, and logical reasoning to analyze and solve real-life problems, and to construct appropriate models in science, technology, and industry.
Students will be equipped with the ability to pursue higher studies, interdisciplinary research, and innovative projects in Mathematics and related fields.
Learners will acquire the necessary analytical, computational, and experimental skills to contribute effectively in academic, industrial, and research organizations.
Students will be able to clearly present mathematical and scientific ideas, work collaboratively across disciplines, and adapt their expertise to diverse professional environments.

Demonstrate core competency in Statistics, Mathematics, and (optionally) Computer Science.
Engage in advanced areas and electives to pursue specialized knowledge or interdisciplinary research.
Construct mathematical and statistical models applicable in academic, industrial, or research settings.
Exhibit adaptability for higher education and research, embracing a life-long learning mindset.
Contribute effectively in professional contexts—industry, research institutions, academia—using quantitative expertise.

Understand the mathematical concepts and applications in the field of algebra, analysis Understand the mathematical concepts and applications in the field of algebra, analysis computational techniques, optimization, differential equations, differential geometry and fluid dynamics.
Handle the advanced techniques in algebra, analysis, computational techniques, optimization, differential equations, differential geometry and fluid dynamics to analyze and solve variety of problems related to real life problems.
Develop proficiency in analyzing, applying and solving mathematical problems.
Acquire knowledge in recent developments in various branches of mathematics and participate in conferences / seminars / workshops and thus pursue research.

Understand the Statistical concepts and applications in the field of probability sampling, optimization, inference, experimental design, stochastic processes, linear models, vital statistics, multivariate analysis and computational techniques etc.
Develop proficiency in analyzing, applying and solving statistical problems.
Acquire knowledge in recent developments in various branches of statistics and participate in conferences / seminars / workshops and thus pursue research.
To be in a noble profession of teaching and helping in nation building.

PSO1: Apply statistical, computational, and machine learning techniques to analyze and derive meaningful patterns from large and complex datasets
PSO2: Develop domain-specific solutions by integrating data science tools with knowledge from healthcare, finance, marketing, or other relevant fields
PSO3: PSO3: Employ big data technologies and cloud platforms to manage and process large-scale data efficiently
PSO4: Undertake research projects and contribute to innovation in data science by applying critical thinking and research methodology

H.O.D.
Email	headmath@iul.ac.in
Contact(Ext. No.)	3201
Admissions Email	admission@iul.ac.in
Admissions Call	+91-9335177775

Department of Mathematics & Statistics

Department of Mathematics & Statistics

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