1. Introduction:

Classical mathematics provides a strong foundation for analyzing the key principles behind modern and emerging technologies. Furthermore, advanced analytical tools, integrated with contemporary mathematical approaches, open new avenues for exploration and innovation.

The M.Sc. (Mathematics) program at IIT Jodhpur aims to leverage these opportunities by developing a highly skilled workforce with expertise in mathematical methods essential for ensuring advancement of key technologies. The proposed four-semester program is designed to maintain a balance between theoretical analysis and practical applications of mathematics which can help students undertake the path of interest for a secure future.

The core courses establish a solid foundation in fundamental mathematical concepts while enhancing the analytical capabilities of students. In addition, students can explore their specific interests through program electives and open elective courses.

The thesis component, spread over the final two semesters, provides significant research opportunities and enables students to apply their mathematical skillset to real-world problems. Students are also required to undertake research-oriented summer internships at reputed institutes, industries, and R&D organizations.

2. Objectives of the Program

The M.Sc. program in Mathematics at IIT Jodhpur is designed to nurture motivated students in frontier areas of mathematics and to develop a well-trained workforce for industry and academia. The program also aims to create a vibrant academic environment that fosters independent thinking, innovation, and a strong spirit of teamwork.

3. Graduate Attributes:

Graduates of the program will be able to:

• Analyze and interpret abstract mathematical structures.
• Demonstrate a strong understanding of contemporary areas in pure and applied mathematics, including algebra, analysis, statistics, and differential equations.
• Formulate mathematical problems inspired by real-world scenarios.
• Develop and apply mathematical models relevant to applied sciences and engineering.
• Comprehend and work effectively with abstract mathematical structures and concepts.
• Apply analytical and scientific reasoning to pursue higher studies and research in diverse areas of mathematics and allied areas.
• Communicate mathematical ideas effectively in both written and oral forms.

4. Learning Outcomes:

Upon completion of the program, students will be able to:

• Demonstrate strong understanding of the fundamental concepts of real, complex, and functional analysis.
• Apply the principles of linear and abstract algebra.
• Utilize concepts from probability theory, statistics, and differential equations in theoretical and applied contexts.
• Employ analytical techniques and programming skills to solve mathematical problems.
• Use symbolic computation tools such as MATLAB or Mathematica effectively.
• Communicate scientific ideas and mathematical results clearly in both academic and applied settings.
• Demonstrate quality project management skills in academic and research-oriented tasks.

5. Structure of the program:

*The thesis work must be aligned with the objectives of the enrolled program as stated in the concept note

6. Semester-wise courses:

7. Elective Courses Table: