**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 **

**Syllabus: Click Here**

**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.
- 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 | ||