
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 3dimensions.

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 STATISTICSI

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 STATISTICSII

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 BolzanoWeierstrass 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 CauchyRiemann 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 freebody diagrams, Newton's second law, the impulsemomentum method and the workenergy principle to solve dynamic problems in mechanical systems.

Students are able to draw the freebody 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 nonexamples;

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 longterm 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.
