MAHARANI JANKI KUNWAR COLLEGE

1. Executive Summary

MJK College Bettiah, a prestigious institution located in the heart of Bettiah, has been imparting quality education, particularly in Mathematics, since its inception in 1955. Prof. Ganesh Mehta, a renowned scholar of Mathematics, was a founding faculty member of the department. Over the years, the Mathematics department has gained distinction beyond Champaran, producing thousands of outstanding students who serve as valuable assets to the nation.

Despite this legacy, the absence of postgraduate education in Mathematics remains a significant shortcoming, hindering further academic growth and research opportunities. Many students complete their undergraduate studies with aspirations for higher education but face economic constraints that prevent them from enrolling in PG programs elsewhere. Recognizing this need, MJK College is committed to securing affiliation for a postgraduate course in Mathematics.

This Detailed Project Report (DPR) outlines the rationale, objectives, infrastructure, faculty requirements, course structure, and financial projections necessary for the successful implementation of this program.

2. Introduction

MJK College Bettiah has been a center of academic excellence for undergraduate programs. With the increasing importance of Mathematics in scientific research, engineering, economics, and data sciences, the demand for advanced education in the subject has grown significantly. To meet this demand, MJK College proposes to introduce a Master’s program in Mathematics, offering students an opportunity to specialize in various disciplines and contribute to research and innovation.

3. Objectives of the PG Course in Mathematics

• To provide in-depth knowledge of modern Mathematics, including advanced topics in pure and applied Mathematics.
• To prepare students for research-oriented careers, such as M.Phil., Ph.D., and other research-based programs.
• To equip students with analytical, computational, and problem-solving skills applicable across industries and academia.
• To foster critical thinking, innovation, and creativity in the field of Mathematics.
• To contribute to socio-economic development by producing highly skilled professionals in Mathematics.

4. Need for the Course

• There is a growing demand for postgraduates in Mathematics in academia, research, software development, data science, engineering, finance, and other applied sectors.
• Students from the region currently need to travel long distances to pursue higher education in Mathematics. Establishing this course will help retain talented students within the state.
• The availability of skilled Mathematics graduates is crucial for sectors such as IT, finance, and research institutions, making this program highly relevant at both national and international levels.

5. Target Audience

The PG course in Mathematics will primarily benefit:

• Graduates in Mathematics (B.Sc. or equivalent) seeking advanced education.
• Professionals working in mathematical, scientific, and data-related fields who wish to enhance their qualifications.
• Students interested in research, teaching, and other mathematics-related career paths.

6. Course Structure

The PG course in Mathematics will span two years, divided into four semesters. The course structure will balance theoretical knowledge, practical applications, and research methodologies.

First Year:

• Semester 1: Real Analysis, Algebra, Differential Equations, Linear Programming, Mathematical Methods
• Semester 2: Complex Analysis, Abstract Algebra, Topology, Mechanics, Numerical Methods

Second Year:

• Semester 3: Functional Analysis, Number Theory, Fluid Dynamics, Mathematical Modelling, Computer Programming
• Semester 4: Research Methodology, Dissertation/Project Work, Advanced Topics in Applied Mathematics, Elective Courses

7. Faculty Members

Existing Faculty Members:

1. Dr. P.K. Chakraborty
2. Dr. Surendra Rai (on deputation)
3. Dr. Indu Shukla

Additional Faculty Requirements:

• Associate Professors (2): Specializing in Pure Mathematics, with a minimum of 20 years of teaching and research experience.
• Assistant Professors (1): Specializing in Applied Mathematics and Computational Mathematics, with post-doctoral research experience.

8. Infrastructure Available

MJK College will upgrade its infrastructure to support the PG Mathematics course, ensuring all necessary facilities for students and faculty:

• Classrooms: Fully equipped with projectors, blackboards, and seating arrangements for 70–80 students.
• Library: An extensive collection of Mathematics books, journals, and e-resources, including access to international journals and databases.
• Seminar Hall: For hosting seminars, workshops, and guest lectures.
• Hostel and Accommodation: Facilities for outstation students to provide a conducive learning environment.

9. Affiliation Request to University

MJK College Bettiah formally requests the university to grant affiliation for the proposed PG course in Mathematics. The college is committed to meeting all academic, infrastructural, and administrative requirements as per university norms. The institution will strictly adhere to the prescribed syllabus, examination structure, and quality assurance measures set by the university.

10. Conclusion

The introduction of a PG course in Mathematics at MJK College Bettiah will significantly enhance the academic stature of the institution and contribute to the region’s educational landscape. With a strong infrastructure, experienced faculty, and a well-designed curriculum, the program will cater to the needs of students and help them build successful careers in Mathematics, research, and various industries.

The college seeks the university’s support and approval for the timely initiation of this program.