M.Sc. Mathematics

The M.Sc. Mathematics program offers a comprehensive and rigorous curriculum designed to build a strong foundation in both pure and applied mathematics. Students can choose to pursue the program with or without a dissertation, allowing flexibility based on their academic and career goals.

M.Sc. with Dissertation: Emphasizes research, allowing students to undertake a dissertation project under faculty supervision, fostering analytical and investigative skills.
M.Sc. without Dissertation: Focuses on advanced coursework, providing a broad spectrum of mathematical knowledge suitable for various professional applications.

The curriculum encompasses core areas such as analysis, algebra, topology, differential equations, and numerical methods, alongside interdisciplinary applications including cryptography, optimization, and mathematical modelling. The program fosters analytical thinking, problem-solving skills, and research aptitude, preparing graduates for academic, research, and industry roles. Through theoretical concepts and practical exposure, students develop the ability to apply mathematical techniques to real-world challenges, ensuring they are well-prepared for lifelong learning and professional growth.

Eligibility Criteria:

B.Sc. (Hons) in Mathematics/ B.Sc. / B.A. with Mathematics as a subject with 50% marks. In case of SC/ST and physical challenged category candidates, the minimum aggregate required shall be 45% marks.

Duration:

02 years

Seats:

05 (For Session 2025-26)

Scholarships:

Scholarships are available for Meritorious Girls, whilst, tuition fee waiver for Single Girl Child, Two Real Sisters, and Wards of Defence Personals subject to fulfilment of eligibility criteria as notified by the competent authority of the University.

Academic Coordinator:

Dr. Surjan Singh
Professor & Head
Department of Mathematics
Akal College of Basic Sciences
Eternal University Baru Sahib HP
Mobil. : +91 8580806659
E-mail: drsurjanmath@eternaluniversity.edu.in

Admission Coordinator

Dr. Shivani
Assistant Professor
Department of Mathematics
Eternal University Baru Sahib HP
Mobil. : +91 6239759195
Email: Shivani@eternaluniversity.edu.in

The Department of Mathematics at Eternal University

The Department of Mathematics at Eternal University is actively engaged in research aligned with both theoretical advancements and real-world applications. The faculty members contribute significantly to the following thrust areas:

Heat and Mass Transfer
Reliability Theory.
Fractional Differential Equations
Image Processing
Wavelet Analysis

Student Research and Thesis Guidance (Last Five Years)

Our faculty members actively mentor M.Sc. students, guiding them through their research projects and thesis work.

S. No.	Name of Student & Regn. No.	Program Name	Title of Thesis/Dissertation
1.	Priti Sharma (BS18MSMA002)	M.Sc.	STUDY OF FIN THROUGH DIFFERENT NUMERICAL METHODS
2.	Harpreet Kaur (BS18MSMA001)	M.Sc.	LEGENDRE WAVELET BASED NUMERICAL STUDY OF MOVING BOUNDARY PROBLEM OF HEAT MASS TRANSFER DURING IMMERSION FRYING
3.	Manpreet Kaur (BS21MMA003)	M.Sc.	A STUDY OF FRACTIONAL INTEGRO-DIFFERENTIAL EQUATIONS
4.	Anshul Sharma (BS21MMA002)	M.Sc.	A STUDY OF HYPERSURFACES IN FINSLER SPACE
5.	Geetanjli (BS21MMA001)	M.Sc.	ASSESSMENT OF RELIABILITY ATTRIBUTES IMPLEMENTING GUMBEL-HOUGAARD COPULA IN INDUSTRIAL SYSTEM
6.	Jaspal Kaur (BS19MSMA001)	M.Sc.	STUDY OF HEAT TRANSFER IN DIFFERENT TYPE GEOMETRIES OF FIN
7.	Pooja Sharma (BS19MSMA003)	M.Sc.	STUDY OF HEAT TRANSFER IN POROUS FIN
8.	Monika (BS19MSMA002)	M.Sc.	A STUDY OF SOME MOVING BOUNDARY PROBLEMS OF HEAT TRANSFER
9.	Ramanpreet Kaur (BS19MSMA004)	M.Sc.	NUMERICAL STUDY OF SOLIDIFICATION OF BINARY EUTECTIC SYSTEM OF HEAT TRANSFER
10.	Vanshika (BS19MSMA005)	M.Sc.	WAVELET BASED NUMERICAL STUDY OF TWO-DIMENSIONAL MOVING BOUNDARY PROBLEM OF HEAT TRANSFER

Prominent Research Publications

Kaur K, Singh S (2025). Thermal Distribution in Fins of Different Geometries With Temperature and Wavelength Dependent Properties. Heat transfer Wiley, ESCI, Scopus, Web of Science Jan 2025; 1–13, ISSN:2688-4542(Clarivate). Doi https://doi.org/10.1002/htj.23280 [IF 2.8].
Ranta S, Gupta S, Sharma DK (2024). A new Legendre wavelet filter-based image super-resolution technique. Multimedia Tools and Applications SCOPUS (Springer) 2024 Feb 16:1-5. https://doi.org/10.1007/s11042-024-18529-w [IF- 3.0].
Sharma P, Singh S & Upadhyay S (2024). Temperature distribution in stretching/shrinking fin with variable parameters. Heat Transfer, 53(7), 3625-3642. Doi: https://doi.org/10.1002/htj.23103 [IF 2.8].
Upadhyay S, Sharma P, Singh S & Rai K N (2023). A new iterative Broyden Legendre Wavelet Galerkin FEM applied to study heat transfer in two-dimensional elliptic and plate fins. The European Physical Journal Plus, 138(12). Doi: https://doi.org/10.1140/epjp/s13360-023-04788-3 [IF 2.8].
Gupta S, & Ranta S (2022). Legendre wavelet based numerical approach for solving a fractional eigenvalue problem. Chaos, Solitons & Fractals, 155, 111647. Doi https://doi.org/10.1016/j.chaos.2021.111647 [IF-5.3].
Gupta S, Sharma DK, and Ranta S (2022) A new hybrid image enlargement method using singular value decomposition and cubic spline interpolation. Multimedia Tools and Applications, 81(3), 4241-4254. [ISSN: 1573-7721 ; Springer]. https://doi.org/10.1007/s11042-021-11767-2 [IF- 3.0].
Kaur H, Rai K N & Upadhyay S (2022). A numerical study of moving boundary problem involving dual phase lag model of heat mass transfer during immersion frying. Mathematics and Computers in Simulation, 202, 79-100. Doi: https://doi.org/10.1016/j.matcom.2022.05.025 [IF 4.4].
Bisht S, Kumar A, Goyal N, Ram M & Klochkov Y. (2021). Analysis of Network Reliability Characteristics and Importance of Components in a Communication Network. MDPI Mathematics. 9(12), 1-13. Doi: https://doi.org/10.3390/math9121347 [IF-2.3].
Bisht S, Kumar A, Singh S B & Ram M (2025). Evaluation of reliability and characteristics measure using exponential decay distribution of non‐series parallel network. Quality and Reliability Engineering International, 41(1), 589-605. Doi: https://doi.org/10.1002/qre.3680 [IF 2.2].
Goyal, N., Ram, M., Kumar, A., Bisht, S., & Klochkov, Y. (2021). Reliability Measures and Cost Analysis of Windmill Water Pumping System Incorporating Warranty and Two Types of Repair. MDPI Mathematics. 9(8), 1-15. Doi: https://doi.org/10.3390/math9080822 [IF-2.3].