Mathematics

The Mathematics program at the Indian Institute of Science is a rigorous and comprehensive academic offering designed to develop deep theoretical understanding and practical problem-solving skills in the field of mathematics. The program aims to cultivate a strong foundation in core mathematical disciplines, including algebra, analysis, geometry, topology, and applied mathematics, while also encouraging research and innovation. Students enrolled in this program will have the opportunity to explore advanced topics such as differential equations, mathematical logic, number theory, cryptography, and mathematical modeling, among others. The curriculum is structured to balance lectures, seminars, and research projects, allowing students to engage actively with complex concepts and contemporary mathematical challenges. Faculty members are renowned experts in their fields, providing mentorship and guidance to foster scholarly excellence and curiosity. The program emphasizes both theoretical rigor and practical application, preparing graduates for careers in academia, industry, and research organizations. Through collaborative projects, workshops, and internships, students will gain valuable experience working on real-world problems, developing analytical skills, and applying mathematical techniques across diverse domains such as engineering, computer science, finance, and data science. The institute’s state-of-the-art facilities and libraries support active learning and research, facilitating a vibrant academic community. Graduates of this program will be well-equipped to contribute to advancements in mathematics and its applications, pursuing further research or leadership roles in their chosen fields. With a commitment to academic excellence and innovation, the Mathematics program at the Indian Institute of Science provides students with a solid foundation for lifelong learning and professional development in the ever-evolving landscape of mathematical sciences.

Programme Content for the M.Sc. in Mathematics at the Indian Institute of Science

The Master of Science in Mathematics at the Indian Institute of Science is a comprehensive and rigorous programme designed to deepen students' understanding of fundamental and advanced mathematical concepts. The curriculum aims to cultivate analytical thinking, problem-solving skills, and research capabilities essential for careers in academia, industry, or further doctoral studies. The programme begins with a solid foundation in core areas such as real analysis, complex analysis, linear algebra, and differential equations, ensuring students establish a strong base for more specialized topics.

As students progress, they explore advanced topics including algebraic structures, topology, number theory, combinatorics, and mathematical logic. The curriculum emphasizes both theoretical understanding and practical application, incorporating modern computational tools and techniques. Students have opportunities to engage in mathematical modeling, numerical analysis, and computational methods, preparing them for interdisciplinary research and real-world problem solving.

Research components are integrated throughout the programme through coursework, seminars, and independent projects. Students are encouraged to participate in departmental research activities, workshops, and conferences, fostering a vibrant academic environment. The programme also emphasizes the development of communication skills, enabling students to effectively present complex mathematical ideas.

Specializations within the programme may include pure mathematics, applied mathematics, or interdisciplinary areas such as mathematical physics or data science, reflecting the diverse applications of mathematics across various fields. The curriculum is regularly updated to include emerging areas like algebraic geometry, cryptography, and mathematical machine learning, ensuring students stay at the forefront of mathematical research and applications.

Graduates of the MSc in Mathematics at the Indian Institute of Science are well-equipped for careers in research, academia, data science, finance, and technology sectors. The programme's rigorous training also provides a strong foundation for pursuing doctoral studies in mathematics or related disciplines. Overall, the MSc in Mathematics aims to produce well-rounded mathematicians capable of contributing to scientific advancements and solving complex problems in diverse domains.

Eligibility

Candidates who have completed their II PUC / 12th Standard in 2016 and those who are expecting to complete their II PUC / 12th Standard in 2017 are eligible to apply. The candidates must have studied Physics, Chemistry and Mathematics as main subjects during their II PUC / 12th Standard. Candidates who have studied Biology, Statistics, Electronics, Computer Science, etc., in addition to Physics, Chemistry and Mathematics are also eligible to apply. The candidates must have secured a first class or 60% or equivalent grade (relaxed to pass class for SC/ST candidates) in the II PUC / 12th Standard examination.

Selection

Based on the merit list of one of the following national examinations:

1. KVPY:
   • KVPY-SA [appeared in 2015 and selected for the Fellowship]
   • KVPY-SB [appeared in 2016 and selected for the Fellowship]
   • KVPY-SX [appeared in 2016 and selected for the Fellowship]
   • KVPY Fellows selected through the Empowerment Initiative for SC/ST candidates [appeared in 2015 for SA, 2016 for SB/SX and selected for the Fellowship]
2. (IIT)JEE-Main: Appearing in 2017 and securing a minimum of 60% (GN), 54% (OBC-NCL), 30% (SC/ST/PWD)
3. (IIT)JEE-Advanced: Appearing in 2017 and securing a minimum of 60% (GN), 54% (OBC-NCL), 30% (SC/ST/PWD)
4. NEET-UG: Appearing in 2017 and securing a minimum of 60% (GN), 54% (OBC-NCL), 30% (SC/ST/PWD).

Reservation for SC/ST/OBC/Person with disability (PWD) and Kashmiri-Migrant (KM) candidates: As per Government of India regulations.

Depending on their performance in national examinations such as KVPY, IITJEE (Main and Advanced), and AIPMT, students will be able to avail themselves of the standard fellowships offered by agencies such as KVPY and DST-INSPIRE.

The Department of Mathematics at the Indian Institute of Science (IISc) offers a comprehensive undergraduate program designed to develop a strong foundation in mathematical concepts and their applications. The Bachelor of Science (Research) in Mathematics aims to prepare students for advanced research, teaching, and careers in industries where quantitative skills are essential. The curriculum encompasses core areas such as algebra, analysis, topology, and differential equations, along with applied mathematics topics including numerical analysis, mathematical modeling, and computational methods.

Students are encouraged to participate in seminars, workshops, and research projects that enhance their understanding and foster innovative thinking. The program emphasizes both theoretical understanding and practical application, enabling graduates to pursue higher studies or careers in academia, research institutions, or industry sectors like data science, finance, engineering, and technology. The faculty members are renowned experts actively involved in cutting-edge research, providing mentorship to students.

The program typically spans three to four years, depending on the course structure, with a comprehensive evaluation system including coursework, examinations, and dissertations. The department maintains collaborations with national and international research organizations, offering students opportunities for internships and exchange programs. Overall, the undergraduate degree in Mathematics from IISc aims to cultivate analytical skills, problem-solving abilities, and a deep appreciation for the beauty of mathematics, preparing students for impactful careers or further academic pursuits.