# DEPARTMENT OF MATHEMATICS

UG since 1955

PG since 2016

Courses offered:  B Sc (Three Years Annual System) and

M Sc in Mathematics(Two years, four Semester System)

Intake:  UG -  3 Sections ( 264 seats for session 2022-23)

PG - 60 Government seats

# Teaching Staff

## Sanctioned Post-04    Filled-02   Vacant-02     View Detail

HOD: SH SUMIT DABI  9414288546

Profile:

ADMISSION CUT OFF M SC PREVIOUS (GOVT. SEAT)

 SESSION GENERAL OBC SC ST EWS TOTAL APPLICANTS ADMITTED 2022-23 30 2021-22 30 2020-21 30 2019-20 30 2018-19 30 2017-18 20 2016-17 20

B Sc/M Sc Course outcome:

A graduate student in mathenatics is expected to possess following:

• Communicate mathematics effectively by written, computational and graphic means.
•  Create mathematical ideas from basic axioms.
•  Gauge the hypothesis, theories, techniques and proofs provisionally.
• Utilize mathematics to solve theoretical and applied problems by critical understanding, analysis and synthesis.
• Identify applications of mathematics in other disciplines and in the real-world, leading to enhancement of career prospects in a plethora of fields and research.
• Learn first and second derivative tests for relative extrema and apply the knowledge in problems in business, economics and life sciences
• Use modular arithmetic and basic properties of congruences.
• Recognize consistent and inconsistent systems of linear equations by the row echelon form of the augmented matrix.
• Find eigenvalues and corresponding eigenvectors for a square matrix.
• Recognize the mathematical objects that are groups, and classify them as abelian, cyclic and permutation groups etc.
• Explain the significance of the notion of cosets, normal subgroups, and factor groups.
• Use modular arithmetic and basic properties of congruences.
• Recognize consistent and inconsistent systems of linear equations by the row echelon form of the augmented matrix.
• Find eigenvalues and corresponding eigenvectors for a square matrix.
• Recognize the mathematical objects that are groups, and classify them as abelian, cyclic and permutation groups etc.
• Explain the significance of the notion of cosets, normal subgroups, and factor groups.
• Formulate, classify and transform first order PDEs into canonical form.
• Learn about method of characteristics and separation of variables to solve first order PDE’s.
• Classify and solve second order linear PDEs.
• Learn about Cauchy problem for second order PDE and homogeneous and nonhomogeneous wave equations.
• Apply the method of separation of variables for solving many well-known second order PDEs.
• Interpolation techniques to compute the values for a tabulated function at points not in the table.
• Applications of numerical differentiation and integration to convert differential equations into difference equations for numerical solutions
• Learn about the relationships between the primal and dual problems.
• Solve transportation and assignment problems.
• Solve travelling salesman problem.
• Basic probability axioms and familiar with discrete and continuous random variables.
•  To measure the scale of association between two variables, and to establish a formulation helping to predict one variable in terms of the other, i.e., correlation and linear regression.
• Central limit theorem, which helps to understand the remarkable fact that: the empirical frequencies of so many natural populations, exhibit a bell-shaped curve.
• Understand and apply the programming concepts of C++ which is important to mathematical investigation and problem solving.
• Learn about structured data-types in C++ and learn about applications in factorization of an integer and understanding Cartesian geometry and Pythagorean triples.
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• Learn the significance of differentiability of complex functions leading to the understanding of Cauchy−Riemann equations.
• Learn some elementary functions and valuate the contour integrals.
• Understand the role of Cauchy−Goursat theorem and the Cauchy integral formula.

PUBLICATIONS:

BOOKS AND CHAPTERS

PAST FACULTY MEMBERS

 S N NAMEOF FACULTY FROM TO 1 SH PERMESHWAR LAL 23.8.2018 30.4.2019 DR PURUSHOTTAM JHAROTIA 28.7.2018 4.10.2021