Program Outcome of Mathematics

PO1:- understanding of the fundamental axiom in mathematics and capability of developing ideas based on them .

PO2:- A student should be abel to recall basic facts about mathematics and should be able to display knowledge of conventions such as notions ,terminology.

PO3:-A student should get adequate exposure to global and local concerns that explore them many aspects of mathematical science.

Course outcomes of B.Sc. 1st year

Algebra and trigonometry

Co1 :- student skills to solve inverse of matrix ,rank,Eigen valueEigen vectors .

CO2 :- student skills to solve system of linear equation both homogeneous and non homogeneous .

Co3:- student will learn convergence modulo,group theory subgroup ,cyclic group ,coset ,normal subgroup ,Quotient group even and odd permutation .

Co4 :- student will learn homogeneous and isomorphism group ring ,subring integral domain and field etc.

Co5:- student compute Demoiver theorem and how to find theexpansion of trignometrical function .

Differential calculus , Integral calculus,ordinary differential equations.

Co1 :- student compute theorems and learn how to chack continuous, discontinuous and differentiability .

Co2 :- understand Asymptotes curvature and test for concavity and convexity.

Co3 :- understand definite integrals reduction formula,volumes and surface .

Co4:- learn clairauts form ,exact differential equation, singular solution and their solutions.

Co5:- solve the problem on transformation of the equation by changing the dependent / independent variable.

Vector analysis and geometry

Co1:- student skills to solve problem based on gratent , divergent and curl.

CO2 :- student skills to solve problem based on theorem of gauss ,green and stokes.

Co3 :- learn the concept of conics confocal conics .polar equation of a conic .

Co4 :- solves the problems on sphere,cone, cylinder.

Course outcomes of B.Sc. 2nd year

Advanced calculus

Co1:- student will be able to know the sequence, convergence and divergent of sequence.

CO2 :- student skill to solve theorem and problem based on continuity , uniform continuity,mean value theorm .

Co3 :- students compute different theorem Euler ,Taylor’s and jacobians .

Co4:- student skills to solve maxima,minima and saddle point of function of two variable.

Co5:- student skills to solve beta and  gamma fumction ,double and triple integrals .

Differential equations

Co1:- the differential equation and solve them .

CO2:- student skills to solve Laplace transformation.

Co3:- the partial differential equation of 1st order and solve them .

Co4:- partial differential equation second and higher order and solve them.

Co5 calculus of variations and solve them.

Mechanics

Co1:- student compute stable and unstable equilibrium.

CO2:- student will have knowledge of null lines and planes.

Co3:- understands the concept of direction,projectile ,central orbits .

 

Course outcomes of B.Sc. 3nd year

Analysis

Co1:- student will able to know the series of real number . Convergence and divergence of series .

CO2:- determine the Riemann integrability .

Co3:- Aplly the concept of Cauchy rieman equations for analytic function .

Co4:- student will learn limit point, interior  point ,open and closed set boundry point ,subspace of a matric space .

Co5:- student will learn compactness ,connectedness ,components.

Abstract algebra

Co1:- student will have the knowledge of conjugacy relation normaliser ,class equation,sylow subgroup.

CO2:- student understand the quotient ring , unique factorization Doman ,modules,submodules .

Co3:- learn the concept of vactor space ,subspace,linear span dimention of sums of subspace .

Co4:- understand the concept of linear transformation,bilinear and quadratic.

Co5:- inner product space and solve them .

Discrete mathematics

Co1 :- student will learn orderd set ,grammars, language,parmutation ,combinations.

CO2:- student will have the knowledge of partial order relation,lattices ,chain and antichain .

Co3:- student skills to solve Boolean lattices ,Boolean function and expansion.