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Outcomes

 
 

UG PROGRAMMES:

PROGRAM OUTCOME:

PO 1 : Realized that knowledge of subjects in other faculties such as humanities, performing arts, Social Sciences etc. can have greatly and effectively influence  which inspires evolving new Scientific theories and inventions.
PO 2 : Imbibed ethical, moral and social values in personal and social life leading highly cultured and Civilized personality. It developes various communication skills such as reading, listening, speaking, etc., which we will help in expressing ideas and views clearly and effectively.
PO 3 : Realized that pursuit of knowledge is a lifelong activity and combining  untiring efforts and positive attitude and other necessary qualities that lead towards a successful life.
PO 4 : Developed scientific outlook not only with respect to science subjects but also in all aspects related to life.

PROGRAM SPECIFIC OUTCOME:

PSO 1 : Ability to calculate and reason to design complex and critical financial models for Bank and Insurance Companies.
PSO 2 : Ability to understand both concrete and abstract problems.
PSO 3 : Ability to make critical observations.
PSO 4 :Ability to accurately organize, analyze and interpret data.
PSO 5 : Develop the mathematical logic which is very useful for solving mathematical reasoning Problems.

COURSE OUTCOME:

CO 1 : DIFFERENTIAL CALCULUS AND TRIGNOMETRY

  • To find out the points of discontinuity for functions and classify them.
  • To understand the consequences of the intermediate value theorem for continuous functions.
  • To apply mathematical methods involving arithmetic, algebra, geometry, and graphs to solve problems.
  • Knowledge of Trigonometric identities and experience deriving identities.

CO 2 : INTEGRAL CALCULUS

  • Solve definite and indefinite integrals using substitution, integration by parts, and tables.
  • Compute differential and integral operations (partial derivatives, gradients, double integrals, etc.) and Change coordinates (e.g., polar, cylindrical, etc.)
  • Compute standard types of integrals (curve integrals, area integrals, surface integrals,etc.)
  • Compute integrals using standard theorems (e.g. with potential functions, Green’s theorem, etc.)

CO 3 : DIFFERENTIAL EQUATIONS AND LAPLACE TRANSFORMS

  • Students are able to understand how to solve the differential equations with different degrees.
  • Helps the students to find particular solution to the initial value problem.
  • Students can be able to find complete solution to the differential equation with variable coefficients.
  • To learn about Laplace transforms and inverse Laplace transforms.
  • Students can learn to solve the differential equations using Laplace transforms.

CO 4 : ANALYTICAL GEOMETRY 3D

  • To learn about the shapes in 3-dimensions.
  • To learn about the various forms of the equations of Plane, Sphere, Circle, Cylinder and Cone.
  • To calculate the shortest distance between lines spheres.
  • To acquire knowledge about central quadrics, coplanar lines, tangents, tangent planes.

CO 5 : MATHEMATICAL STATISTICS-I

  • Statistics is essentially dependent upon mathematics. It makes the students to learn how to solve statistical problems in real life.
  • This subject describes about how to compute different measures of dispersion for different types of data.

CO 6 : MATHEMATICAL STATISTICS-II

  • It helps the students to learn about the different approaches to the theory of probability like classical/mathematical probability, empirical probability and axiomatic probability, along with their limitations.
  • Students will understand the meaning and utility of sampling in statistics.

CO 7 : SEQUENCES AND SERIES

  • Help to acquire understand of how the elementary functions can be defined by power series, with an ability to deduce some of their easier properties.
  • Help to acquire knowledge of some simples techniques for testing the convergence of sequence and series and confidence in applying them.

CO 8 : CLASSICAL ALGEBRA AND THEORY OF NUMBERS

  • This subject introduce the theory of equations in which the algebraic equations are solved to get algebraic solutions.
  • Students are able to know about the algebraic equations and the various methods to solve it.
  • Students are able to recognize the technical terms and some of the applications of algebra.
  • This course is prescribed to undergraduate students to make them understand the inequalities, number theory etc.

CO 9 : VECTOR CALCULUS AND FOURIER SERIES

  • The student after undergoing this course are able to solve problems in engineering domain related to Linear Algebra using Matrices.
  • Analyze and solve engineering problems using Laplace Series.
  • Analyze and solve engineering problems using Fourier Series.
  • Solve engineering problems using Complex Integration.

CO 10 : LINEAR ALGEBRA

  • Demonstrates comprehension of matrices and matrix algebra.
  • Demonstrates understanding of and the ability to solve systems of linear equations.
  • Demonstrates comprehension of vector spaces.
  • Demonstrates comprehension of linear transformations.
  • Demonstrates comprehension of determinants.
  • Demonstrates comprehension of and ability to compute Eigen values and Eigenvectors.

CO 11 : NUMERICAL METHODS WITH MATLAB PROGRAMMING

  • This is useful on Numerical methods for Engineering problem.
  • Use MATLAB to solve computational problem.
  • To know the basis of Linear Algebra and Calculus is the prior knowledge to understand MATLAB.
  • Gain thorough knowledge of numerical algorithms that are required to solve or obtain approximate solutions of a class of problems.
  • Capable of accessing the accuracy and suitability of the method.

CO 12: NUMERICAL METHODS WITH MATLAB PROGRAMMING (P)

  • To know the basis of MATLAB programming.
  • It provides theory and applications of numerical algorithm which help one to determine approximate solution to the problems such as evaluation of definite integral or solution of nonlinear ordinary differential equations and so on.

CO 13 : REAL ANALYSIS

  • Defines the limit of a function at a value, a limit of a sequence, and the Cauchy criterion
  • Defines continuity of a function and uniform continuity of a function
  • Proves a theorem about continuous functions
  • Proves a theorem about the derivatives of functions and Define a cluster point and an accumulation point
  • States the Bolzano-Weierstrass theorem, Rolle’s theorem, extreme value theorem, and the Mean Value theorem 
  • Define Riemann integrable and Riemann sums

CO 14 : STATICS

  • To learn about Equilibrium of forces
  • To pursue about Friction in equilibrium state of particle and To know more about the body at rest.

CO 15  : OPERATIONS RESEARCH

  • Operations research is a discipline used as an aid for analyzing complex problems by applying scientific approach to solve it for executive management.
  • This subject has gained importance for the students of mathematics, management, commerce, behavioural sciences and engineering.
  • The aim of this course is to enrich the students with an advanced technique of O.R. with the real life problems.
  • Applications of O.R. to computer students are generally in the area of computerized system where the techniques of the O.R. discipline enables the students to solve complex problems using computers.

CO 16 : ABSTRACT ALGEBRA

  • This paper is largely concerned with the study of abstract sets endowed with one or more binary operations.
  • To learn about the basic algebraic structures such as groups, rings, field etc.
  • To learn about subgroups, cosets, subrings etc.
  • To learn Lagrange’s theorem, Fermat’s theorem, Euler’s theorem.
  • Helps the students to learn about isomorphism of groups, rings, fields etc.

CO 17 : COMPLEX ANALYSIS

  • Students are able to understand the concept of limit for real functions and be able to calculate limits of standard functions and construct simple proofs involving this concept;
  • Students will be introduced to the concept of continuity and be familiar with the statements and proofs of the standard results about continuous real functions;
  • Students will understand the concept of the real valued function and be familiar with the statements and proofs of the standard results about differentiable real functions
  • Students will have a working knowledge of differentiability for complex functions and be familiar with the Cauchy-Riemann equations;
  • Students will evaluate integrals along a path in the complex plane and understand the statement of Cauchy's Theorem.

CO 18 : DYNAMICS

  • This course deals with dynamics of particles and rigid bodies, applications of free-body diagrams, Newton's second law, the impulse-momentum method and the work-energy principle to solve dynamic problems in mechanical systems.
  • Students are able to draw the free-body diagram for a particle or for a rigid body in plane motion.
  • Students are able to understand the basic concepts of force, mass and acceleration, of work and energy, and of impulse and momentum. 
  • Students are able to apply these three basic methods and to understand their respective advantages. 
  • Students are able to explain the geometry of the motion of particles and plane motion of rigid bodies. 

CO 19 : GRAPH THEORY

  • Demonstrates about the knowledge of the syllabus material;
  • In Graph Theory we use mathematical definitions to identify and construct examples and to distinguish examples from non-examples;
  • In Graph Theory we use a combination of theoretical knowledge and independent mathematical thinking in creative investigation of questions in graph theory;
  • Definitions to construct mathematical proofs;

CO 20 : ASTRONOMY

  • To describe and explain the observed daily and long-term motion of objects (sun, moon, planets, stars).
  • To Use a star chart with planets to sketch the relative positions of sun, moon, planets and constellations.
  • To Identify the balance between radiation and gravity in various types of stars, and relate this to the aging process.

 

 
 

PG PROGRAMMES:

PROGRAM OUTCOME:


PO 1 : To solve one dimensional Wave and Heat equations employing the methods in Partial Differential equations.
PO 2 : To utilize Number Theory in the field of Cryptography that helps in hiding information and maintaining secrecy in Military information transmission and computer password.
PO 3 : To crack lectureship and fellowship exams approved by UGC like CSIR – NET and SET.
PO 4 : To Innovate, invent and solve complex mathematical problems using the knowledge of pure and applied mathematics.

PROGRAM SPECIFIC OUTCOME:

PSO 1 : A research oriented learning that develops analytical and integrative problem-solving approaches.
PSO 2 : To keep on discovering new avenues in the chosen field and exploring areas that remain Conducive for research and development.
PSO 3 : To develop problem-solving skills and apply them independently to problems in pure and applied mathematics.
PSO 4 : To assimilate complex mathematical ideas and arguments and To improve your own learning and performance.
PSO 5 : To develop abstract mathematical thinking.

COURSE OUTCOME:

CO 1 : ALGEBRA

  • Students understood the basic knowledge in advanced algebra like commutative algebra, linear groups, modules etc., to higher mathematics.
  • Learnt apply the algebraic techniques to compute numerical expressions
  • Understood the uses of parameters and variables

CO 2 : REAL ANALYSIS

  • It is the natural goal of elementary calculus and the most important part of Mathematics for understanding the physical science.
  • It has successfully maintained its place as the standard elementary properties on functions of one real variable.
  • It provides a logical development of the subject from its elementary root.
  • To assist students in learning fundamental ideas and theorems about real analysis.
  • To understand as an ordered field with least upper bound property and some applications of this property are quickly made.
  • It is the natural goal of elementary calculus and the most important part of mathematics for understanding the Physical sciences.

CO 3 : ORDINARY DIFFERENTIAL EQUATIONS

  • Solve a Cauchy-Euler Equation.
  • Identify ordinary and singular points.
  • Find power series solutions about ordinary points.
  • Find power series solutions about singular points.

CO 4 : GRAPH THEORY

  • Write precise and accurate mathematical definitions in graph theory.
  • To know the basic concept, connectivity,  trees ,simple properties ,independent set and matching of graph theory
  • Use a combination of theoretical knowledge and independent mathematical thinking in creative investigation of questions in graph theory;
  • Define the concept of graph colouring - critical graphs triangle - free graphs-edge colouring of graphs .
  • To know the concept of planar and non-planar graphs

CO 5 : INTEGRAL EQUATIONS, CALCULUS OF VARIATIONS AND TRANSFORMS

  • Acquired Skill in calculus of variations to solve the natural boundary problems using maxima and minima methods.
  • Linear integral equations can be solved using the idea of Fourier transforms.
  • Students acquire knowledge to solve the Engineering problems by Hankel’s transforms.
  • To solve the linear integral equations the study of Fredholm theory is used extensively.

CO 6 : COMPLEX ANALYSIS

  • To identify and construct complex-differentiable functions.
  • To Use power series and line integrals in differentiable functions.
  • To determine whether given functions have anti derivatives, logarithms, and nth roots.
  • To know methods of finding the nth roots of complex numbers and the solutions of simple polynomial equations

CO 7 : LINEAR ALGEBRA

  • Linear algebra is one of the most flourishing branches of mathematics with applications to a wide variety of subjects.
  • It provides references to survey articles so as to enable the interested to go ahead with further studies in the subjects.
  • It describes convergence in linear algebra and almost uniform convergence.

CO 8 : PARTIAL DIFFERENTIAL EQUATIONS

  • The study of partial differential equations gives an in depth knowledge of solving science and Engineering problems.
  • It gives awareness about the methods of integral transforms.
  • The knowledge of Cauchy’s method is immensely useful in solving Engineering problems in a simple way.
  • Boundary value problems in Physics can be solved using the study of Laplace equation.

CO 9 : FUZZY SETS AND THEIR APPLICATIONS

  • To study the basic concepts of fuzzy theory and its applications in real problems
  • To study the uncertainty environment through fuzzy sets that incorporates imprecision
  • To gain the knowledge on evolutionary algorithms and to pursue individual research in solving real world optimization problems.

CO 10 : TENSOR ANALYSIS AND SPECIAL THEORY OF RELATIVITY

  • Tensor analysis is one of the more abstruse, even if one of the more useful, higher math subjects enjoined by students of physics and engineering.
  • It is abstruse because of the intellectual gap that exists between where most physics and engineering mathematics leave off and where tensor analysis traditionally begins.
  • It is useful because of its great generality, computational power, and compact, easy to use, notation.

CO 11 : CLASSICAL DYNAMICS

  • The study of this subjects the rows some light on the applications of Lagrange’s equation in scientific problems.
  • It gives the knowledge to study the Hamilton’s equations application to variational problems and phase space.
  • The study of Hamilton-Jacobi equations gives the Jacobi theorem for conservative systems and ignorable coordinates.

CO 12 : MEASURE AND INTEGRATION

  • Cover basis of Measure and integration
  • Generalization of the concepts of length, area, volume, etc to abstract spaces leading to Lebesgue measure on a Euclidean space.
  • Extend the concept of integration in more general settings leading to Lebesgue integral for functions defined on the real line, extending the notion of Riemann integration
  • To develop abstract measure and integral.
  • Axiomatic treatment of Lebesgue integration allows quick access to the convergence of theorem.
  • It provides a treatment of standard measure spaces and analytic sets.

CO 13 : TOPOLOGY

  • To develop qualitative tools to characterize them (e.g., connectedness, compactness, Hausdorff.
  • To acquire knowledge about various types of topological spaces and its applications
  • To appreciate the beauty of mathematical results like Uryyzohn’s lemma and develop the dynamics of proof techniques.

CO 14 : DISCRETE MATHEMATICS

  • Write precise and accurate mathematical definitions  in graph theory.
  • To know the basic concept, connectivity, trees ,simple properties ,independent set and matching of graph theory
  • Use a combination of theoretical knowledge and independent mathematical thinking in creative investigation of questions in graph theory;
  • Define the concept of graph colouring –critical graphs triangle –free graphs-edge colouring  of graphs .
  • To know the concept of planar and non-planar graphs

CO 15 : ADVANCED OPERATIONS RESEARCH

  • To understand the importance of optimization of industrial process management.
  • To apply basic concepts of mathematics to formulate an linear programming problem.
  • To analyze and appreciate variety of performance measures for various optimization problems.

CO 16 : FUNCTIONAL ANALYSIS

  • To produce ideas from linear algebra and analysis in order to handle infinite dimensional vector spaces and linear mappings
  • To equip students with necessary knowledge and skills to enable them handle mathematical operations, analyses and problems
  • To demonstrate the applications of the functional analysis and apply ideas from the theory of Hilbert spaces to other areas.

CO 17 : ADVANCED NUMERICAL ANALYSIS

  • To know the concept of Rate of convergences, Secant, Regular   false method   and Muller method.
  • Finding the roots of Algebraic equation by using Jacobi iteration method and Gauss Seidal   iteration method
  • Finding the roots of Algebraic equation using interpolation and approximation bivariate interpolation
  • Describe the numerical differentiation Extrapolation method and partial differentiation
  • To understand the method of local truncation error or discretization error

CO 18 : ALGEBRAIC NUMBER THEORY

    • Describe the Congruences and understand the binomial, Wilsons theorem
    • Define primitive roots and power residues
    • To know the concept of groups, rings and fields-quadratic residues
    • Define the greatest integer function-arithmetic function arithmetic function, Mobius inversion formula
    • To know the Diophantine equation-Pythagorean triangles.
 
 

M.Phil., PROGRAMMES

PROGRAM OUTCOME:

PO 1 : To Possess the basic knowledge about stochastic processes in the time domain.
PO 2 : To Acquire more detailed knowledge about Markov processes with a discrete state space, including Markov chains, Poisson processes
PO 3 : To Understand research methods
PO 4 : The mathematical curriculum offers a number of practical exposures which equips the students to face the research challenges in Mathematics.

PROGRAM SPECIFIC OUTCOME:

PSO 1 : Students will be able to publish research articles in reputed journals.
PSO 2 : This course introduces the students to the new concept of fuzzy mathematics and their application and mathematical modelling in real life situations.
PSO 3 : This course also introduces the concept of Stochastic process and probability theory which is useful in pursuing their research.

COURSE OUTCOME:

CO 1 : RESEARCH METHODOLOGY

  • To give strong background of graph theory which has diverse applications in all areas like data flow diagram, decision making ability, displays relationships among objects
  • To study qualitative tools to characterize connectedness, compactness, etc and gain knowledge about various types of topological spaces

CO 2 : ALGEBRA AND ANALYSIS

  • To gain the basic knowledge in advanced algebra  for higher mathematics
  • To apply the algebraic techniques to calculate numerical expressions  and to understand the importance of the parameter
  • To demonstrate the fundamental properties of real numbers that lead to the development of real analysis
  • To study how rigorous methods in mathematical analysis  is applied to practical problems

 

 
 
   

 

 


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