Sri Bharathi Arts And Science College For Women - Best Women's College in Pudukkottai

sribharathicollege@gmail.com
99422 28013

GLOBAL CONFERENCE ON EXPLORING AI APPLICATIONS IN MATHEMATICS & COMPUTER SCIENCE (GCEAIMCS - 2026)

Sri Bharathi Arts And Science College For Women

2(f)&12(B) Recognition by UGC

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

(Accredited With B⁺⁺Grade by NAAC)

Kaikurichi, Pudukkottai - 622303

Course Name: Algebra

Course Code: P16MA11

Upon Completion of the course students would be able to

CO1: Summarize the concept of Sylow‘s theorem, Cayley’s theorem.

CO2: Give a detailed knowledge about the Euclidean Rings.

CO3:Acquire knowledge on Polynomial rings – Polynomials over the rational field.

CO4: Understand Extension fields, Roots of Polynomials.

CO5:Explain the concepts of roots of the polynomials and Galois theory.

Course Name: Real Analysis

Course Code: P16MA12

Upon Completion of the course students would be able to

CO1: Describe the topological properties on metric space.

CO2: Differentiate continuity and uniform continuity with examples and infer the compactness in continuity and connectedness.

CO3: Explain the concept of Riemann- Stielije’s Integrability and its properties and discuss Rectifiable curves.

CO4: Explain the sequence of family of continuous and equicontinuous functions and their convergence limits and determine whether the sequence of functions which are pointwise convergent and uniform convergent

CO5: Summarize the concept of Functions of several variables, The Implicit FunctionTheorem.

Course Name: Ordinary Differential Equations

Course Code: P16MA13

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: Graph Theory

Course Code: P16MA14

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: Integral Equations, Calculus Of Variations And Transforms

Course Code: P16MA15

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: Complex Analysis

Course Code: P16MA21

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: Linear Algebra

Course Code: P16MA22

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: Partial Differential Equations

Course Code: P16MA23

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: Fuzzy Sets and Their Applications

Course Code: P16MAE1C

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: Stochastic Processes

Course Code: P16MAE2A

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: Classical Dynamics

Course Code: P16MA31

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: Measure and Integration

Course Code: P16MA32

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: Topology

Course Code: P16MA33

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: P16MAE3B

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: Advanced Operations Research

Course Code: P16MAE3B

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: Functional Analysis

Course Code: P16MA41

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: Differential Geometry

Course Code: P16MA42

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: Advanced Numerical Analysis

Course Code: P16MA43

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	Upon completion of the M.Sc. Degree Programme, the graduate will be able to
PO2	Obtain through knowledge in pure and applied Mathematics.
PO3	Promote a research platforms to do projects.
PO4	Receive training to face SET /NET examinations.
PO5	Develop an skill to analysis a scientific and social problems for multi discipline subjects.

PROGRAMME SPECIFIC OUTCOMES

PSO1	Become an individual academic excellence in the discipline of Mathematics.
PSO2	Acquire knowledge for a research program.
PSO3	Be an entrepreneur for training for SET / NET examinations.
PSO4	Become a software Developer.
PSO5	Executing research projects for multi discipline subjects.

Faculty