Govt. Degree College(Sciences), Nagarkurnool
The Department of Mathematics established in the year 2008 with intake students strength of 40. Sri M. Anjaiah , Lecturer in Mathematics is the Head of the Department.
The Department of Mathematics started PG Course in M.Sc Mathematics (Self-Finance) in Academic Year 2020-2021.
The Departmet is offering different Courses in UG level like MPc & MPCs.
B.Sc. (Mathematics)
· Enabling students to develop a positive attitude towards mathematics as an interesting and valuable subject of study.
· A student should get a relational understanding of mathematical concepts and concerned structures, and should be able to follow the patterns involved, mathematical reasoning.
· Ability to analyze a problem, identify and define the computing requirements, which may be appropriate to its solution.
· Introduction to various courses like group theory, ring theory, field theory, metric spaces, number theory.
· Enhancing students’ overall development and to equip them with mathematical modeling abilities, problem solving skills, creative talent and power of communication necessary for various kinds of employment.
· Ability to pursue advanced studies and research in pure and applied mathematical science.
· Think in a critical manner.
· Know when there is a need for information, to be able to identify, locate, evaluate, and effectively use that information for the issue or problem at hand.
· Formulate and develop mathematical arguments in a logical manner.
· Acquire good knowledge and understanding in advanced areas of mathematics and statistics, chosen by the student from the given courses.
· Understand, formulate and use quantitative models arising in social science, Business and other contexts.
· Student will be able to solve first order differential equations utilizing the standard techniques for separable, exact, linear, homogeneous, or Bernoulli cases.
· Student will be able to find the complete solution of a nonhomogeneous differential equation as a linear combination of the complementary function and a particular solution.
· Student will have a working knowledge of basic application problems described by second order linear differential equations with constant coefficients.
· Student will be able to find the complete solution of a differential equation with constant coefficients by variation of parameters.
· Demonstrate by solving various problem based on Symmetry using group theory.
· Student will be able to find the complete solution of a differential equation with constant coefficients by variation of parameters.
· Demonstrate by solving various problem based on Symmetry using group theory
· Application of ODE.
· Describe fundamental properties of the real numbers that lead to the formal development of real analysis.
· Comprehend rigorous arguments developing the theory underpinning real analysis.
· Demonstrate an understanding of limits and how they are used in sequences, series, Construct rigorous mathematical proofs of basic results in real analysis
· Understand Integrability and theorems on integrability. Recognize the difference between point wise and uniform convergence of a sequence of functions.
· Illustrate the effect of uniform convergence on the limit function with respect to continuity, differentiability, and integrability.
· Study improper integration using Riemann integration.
· Understand the importance of algebraic properties with regard to working within various number systems.
· Extend group structure to finite permutation groups (Caley Hamilton Theorem).
· Generate groups given specific conditions.
· Symmetry using group theory.
· Understand the three major concrete models of Boolean algebra: the algebra of sets, the algebra of electrical circuits, and the algebra of logic.
· Students will be able to define ring and subrings.
· Study of ideals and concept related to ideal.
· Study of various integral domain in ring.
· Introduction to field.
· Introduction to vector space and subspace.
· Use computational techniques and algebraic skills essential for the study of systems of Linear equations, matrix algebra, vector spaces, eigenvalues and eigenvectors, Orthogonality and Diagonalization. (Computational and Algebraic Skills).
· To apply appropriate numerical methods to solve the problem with most accuracy.
· Using appropriate numerical methods determine approximate solution of ODE and system of linear equation.
· Compare different methods in numerical analysis w.r.t accuracy and efficiency of solution.
· Student will be able to find the complete solution of a differential equation with constant coefficients by variation of parameters.
· Demonstrate by solving various problem based on Symmetry using group theory
· Application of ODE.