Sri Bharathi Arts And Science College For Women

Emailsribharathicollege@gmail.com
Contact99422 28013

Sri Bharathi Arts And Science College For Women

G.O No. 226 (Per) 18.7.2005, Affiliated to Bharathidasan University

Kaikurichi, Pudukkottai - 622303

Course Name: Differential Calculus and Trigonometry

Course Code: 16SCCMM1

Upon Completion of the course students would be able to

CO1: Solve problems on successive differentiation and Leibnitz theorem.

CO2: Understand and apply the concepts on envelopes using Cartesian formula for radius of curvature.

CO3:CO3 Find partial derivative of a function of two functions and realize the maxima and minima of the function of two variables.

CO4: Expand cosn𝛉, sinn𝛉, cosm𝛉, sinm𝛉 for different values of n and m .

CO5: Obtain and use Hyperbolic function identities.

Course Name: Integral Calculus

Course Code: 16SCCMM2

Upon Completion of the course students would be able to

CO1: Recognize and relate successive differentiation of various functions and illustrate how to compose equations.

CO2: Demonstrate and calculate maxima and minima, radius of curvature evolute and

CO3: Recognize and sketch partial differentiation, application of Euler‘s theorem and Jacobians.

CO4: Calculate integration of irrational functions of specific type.

CO5: Recall the properties of definite integrals and interpret reduction formula.

Course Name: Differential Equations and Laplace Tranforms

Course Code: 16SCCMM3

Upon Completion of the course students would be able to

CO1: Extract the solution of differential of first order ODE by Homogeneous methods.

CO2: Solve the second order ODE by using a special method.

CO3:Apply the Laplace Transform to solve ODE with constant coefficients.

CO4: Form partial differential equations.

CO5:Use Differential equations as a powerful tool in solving problems in physical and social science.

Course Name: Analytical Geometry 3D

Course Code: 16SCCMM4

Upon Completion of the course students would be able to

CO1: Apply the fundamental concepts of two and three dimensional.

CO2: Recall and relate equation of line, coplanarity of lines, skew lines and shortest distance between them..

CO3:Explain and describe sphere and section of sphere by a plane.

CO4: Recognize and compute direction cosines and direction ratios, the plane and its standard forms.

CO5:Make the students familiar with the basic concepts of three dimensional geometry.

Course Name: Mathematical Statistics -III

Course Code: 16SACMS2

Upon Completion of the course students would be able to

CO1: Recognize and discuss probability, conditional probability and its axiom, Theorems

CO2: Recognize binomial distribution, Poisson distribution and describe their properties.

Compute Correlation coefficients and to estimate Regression Analysis.

CO4: Understand the concepts of testing hypotheses. Explain Large sample and evaluate testing the hypothesis

CO5:Deals with consistency of data and independence of Attributes.

Course Name: Sequences and Series

Course Code:16SCCMM5

Upon Completion of the course students would be able to

CO1: Know the properties of convergent and divergent sequences.

CO2: Understand and apply tests for convergence of series

CO3: Understand and to apply the method of difference to sum the finite series and to extend its use to infinite series.

CO4: Know how to use Binomial, Exponential and Logarithmic series.

CO5:Acquire the knowledge of the generating function.

Course Name: Classical Algebra and Theory of Numbers

Course Code: 16SCCMM6

Upon Completion of the course students would be able to

CO1: Recognize and discuss Relation between roots & coefficients of Polynomial Equations.

CO2: Understand and to apply Newton’s theorem on the sum of the power of the roots.

CO3:To form of an equation whose roots are any power.

CO4: Know the properties of Inequalities , Geometric & Arithmetic means , Weierstrass inequalities , Cauchy inequality, Applications to Maxima & Minima.

CO5:Acquire the knowledge of Theory of Numbers, Fermat’s, Wilson’s & Lagrange’s Theorems.

Course Name: Vector Calculus And Fourier Series

Course Code: 16SCCMM7

Upon Completion of the course students would be able to

CO1: Acquire the knowledge of Vector Differentiation and Integration.

CO2: Find the line integral, surface integral and volume integrals.

CO3:Evaluate integrals by using Green’s, Gauss’s &Stoke’s theorem.

CO4: Fourier Series expansion of periodic functions with Period 2π and period 2a , Use of odd & even functions in Fourier Series.

CO5:Half-range Fourier Series, Development in Cosine series & in Sine series, Change of interval.

Course Name: Linear Algebra

Course Code: 16SCCMM8

Upon Completion of the course students would be able to

CO1: Know and recall core knowledge of Vector Spaces.

CO2: Understand basic concepts in linear independence of vectors, subspaces basis and dimension of vector spaces.

CO3:Deals with Matrix of a linear transformation , Inner product examples, Gram Schmidt orthogonalisation process.

CO4: Explain and describe Types of Matrices.

CO5:Extract the solution Characteristic equation and Cayley-Hamilton theorem, Eigenvalues and Eigen vectors.

Course Name: Numerical Methods With MATLAB Programming

Course Code: 16SCCMM9

Upon Completion of the course students would be able to

CO1: Express programming & solve numerical problems.

CO2: Find importance of this software for lab experimentation.

CO3: Determine better and more accurate solutions.

CO4: Develop program skills for various methods of Numerical Problems.

CO5:Acquire knowledge on MATLAB Software.

Course Name: Real Analysis

Course Code: 16SCCMM10

Upon Completion of the course students would be able to

CO1: Emphasize the proof that development defines the counting of a function and uniform continuity of a function.

CO2: Understand the knowledge of types of discontinuities.

CO3:Acquire the knowledge of Daurboux’s theorem on derivatives.

CO4: Use results and techniques involving mean value theorems to solve a variety of problems.
CO5:Understand the concepts of the fundamental theorem of integral calculus.

Course Name: Statics

Course Code: 16SCCMM11

Upon completion of the course students would be able to

CO1: Understand the knowledge of equilibrium of a particle.

CO2: Study the Parallel forces and Moments.

CO3: Understand the Equilibrium of three forces acting on a rigid body.

CO4: Study the concept Equilibrium of a particle on a rough inclined plane.

CO5:Acquire the knowledge of Equilibrium of strings

Course Name: Operations Research

Course Code: 16SMBEMM1:1

Upon Completion of the course students would be able to

CO1: Acquire the basic concepts of the Operations Research. Graphical solution method Canonical and standard forms of Linear Programming Problem, Simplex method.

CO2: Understand and solve the LPP. Use of Artificial Variables (Big M method - Two phase method), Formulating a Dual problem,

CO3:Apply the Transportation Problem in marketing. Solution methods of assignment Problem.

CO4: Understand the concepts of Queuing theory and Games and Strategies.

CO5:Analyze and apply the PERT and CPM Network Problems.

Course Name: Abstract Algebra

Course Code: 16SCCMM12

Upon Completion of the course students would be able to

CO1: Recognize technical terms groups, permutation groups

CO2: Acquire the knowledge of subgroups and cyclic groups.

CO3:Acquire the knowledge of normal subgroups and Quotient Groups.

CO4: Understand the elementary properties of rings.

CO5:Formulate and develop a unique factorization domain.

Course Name: Complex Analysis

Course Code: 16SCCMM13

Upon Completion of the course students would be able to

CO1: Give an account of the concepts of Analytic functions and Harmonic functions with the role of the C-R equations.

CO2: Learn about elementary transformations concepts in complex variables.

CO3:Acquire the knowledge of Cauchy’s theorems on Derivatives.

CO4: Represent the functions as Taylor’s and Laurent Power series method.

CO5:Understand the singularity concepts and Residues, Solving definite integrals using the Residue concepts.

Course Name: Dynamics

Course Code: 16SCCMM14

Upon Completion of the course students would be able to

CO1: Acquire the knowledge of Kinematics.

CO2: Understand the concepts of Projectile.

CO3:Acquire the basic concepts of Collision of Elastic Bodies.

CO4: Study the concept of Simple Harmonic Motion.

CO5:Deals with Motion Under The action Of Central Forces.

Course Name: Graph Theory

Course Code: 16SMBEMM2:1

Acquire the knowledge of graph theory and its applications.

CO1: Acquire the knowledge of graph theory and its applications.

CO2: Understand the strategies for managing and marketing of services and

CO3:Study the Hamiltonian Graphs.

CO4: Analyze the concepts of Planarity.

CO5:Acquire the knowledge of Directed Graphs.

Course Name: ASTRONOMY

Course Code: 16SMBEMM3:1

Upon Completion of the course students would be able to

CO1: Understand Relevant properties of sphere and formulae in spherical trigonometry.

CO2: Display Diagram of the celestial sphere.

CO3:Apply the laws of refraction.

CO4: Examination of Kepler’s laws in the case of earth.

CO5: Analyse Maximum and minimum number of eclipses near a node and in a year.

PROGRAMME OUTCOMES

PO1	Create a hypothesis and appreciate how it relates to broader theories.
PO2	Solve complex problems by critical understanding, analysis and synthesis.
PO3	Develop proficiency in the analysis of complex physical problems and the use of mathematical or other appropriate techniques to solve them.
PO4	Provide a systematic understanding of the concepts and theories of mathematics and their application in the real world – to an advanced level, and enhance career prospects in a huge array of fields.
PO5	Recognize the need to engage in lifelong learning through continuing education and research.

PROGRAMME SPECIFIC OUTCOMES

PSO1	Explicate the concepts of pure and applied Mathematics
PSO2	Understand the mathematical principles in multidisciplinary environments.
PSO3	Demonstrate a computational ability in solving a wide array of mathematical problems.
PSO4	Utilize mathematical skills of the logical and scientific approach.
PSO5	Develop an in-depth knowledge in Mathematics appreciating the connections between theory and its applications

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A. Muthumalaiyarasi M.Sc., M. Phil.,

ASSISTANT PROFESSOR

ADDRESS	:	Chidhambara viduthi, Kothamangalam, Alangudi(Tk), Pudukkottai(DT) - 614624.
CONTACT NO	:	8428600978, 9843240329
EMAIL ID	:	muthuapr04@gmail.com
DATE OF BIRTH	:	10.07.1992

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C. Chitiravalli

Assistant Professor

ADDRESS	:	D/o, G. Chinnaiah,2/9, Tholuvangadu, Silattur(P),Aranthangi(TK), Pudukkottai-614622.
CONTACT NO	:	9655234293
EMAIL ID	:	chithu196@gmail.com
DATE OF BIRTH	:	19.06.1990

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R.DHANALAKSHMI

Assistant Professor

ADDRESS	:	1/733, Arayappatti Arayappatti (PO), Alangudi (TK), Pudukkottai-614622.
CONTACT NO	:	8056908234, 9626148987.
EMAIL ID	:	dhanamalar77@gmail.com.
DATE OF BIRTH	:	10.04.1990

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M.Revathi M.Sc.,M.Phil.,

ASSISTANT PROFESSOR

ADDRESS	:	3/165, Nondi Kovil Street,Melur, Thirumayam, Pudukkottai – 622507.
CONTACT NO	:	9566411953
EMAIL ID	:	revathivijayaragavan93@gmail.com
DATE OF BIRTH	:	14/05/1996

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V. Maheswari

Assistant Professor,

ADDRESS	:	No:198A, Chathirapatti, Poovarasagudi(po), Pudukkottai(Dt)- 622303
CONTACT NO	:	7502705102, 6381638207
EMAIL ID	:	mahesbalu99@gmail.com
DATE OF BIRTH	:	01.11.1978

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R. Niroja

Assistant Professor,

ADDRESS	:	Thulukkaviduthy (N), Avanam (PO), Peravurani (TK), Thanjavur-614623.
CONTACT NO	:	9865933493
EMAIL ID	:	nironeela@gmail.com
DATE OF BIRTH	:	16-05-1989

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J.Priyadharshini

Assistant Professor

ADDRESS	:	No: 4/ 116 /1 , SouthStreet, Lembalakkudi (po), Thirumayam (tk), Pudukkottai(Dt)- 622 412.
CONTACT NO	:	9976567429, 8610185353.
EMAIL ID	:	dharshinijai09@gmail.com
DATE OF BIRTH	:	09-10-1989

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Dr.M.Parimaladevi

Assistant Professor

ADDRESS	:	No:22, Kannan Nagar, Aatangudi (Po), Kavinadu East, Pudukkottai (Dt)- 622003
CONTACT NO	:	9113550553, 6360442380
EMAIL ID	:	devivishagan22@gmail.com
DATE OF BIRTH	:	19-10-1985