Course Outcomes under NEP 2020

                                                Course Outcomes: Department of Mathematics

Semester-I [Core Paper] Topic: Algebra

Upon successful completion of the course the students will be able to

CO 1: gain the basic knowledge of the concepts of Classic Algebra (Complex numbers, Theory of Equations and Inequalities), 

Abstract Algebra (Realtion, Mapping, Group, Ring and Field), and Linear Algebra (Matrices, Vector spaces, Eigen Values and 

EIgen Vectors) and acquire knowledge of the concepts mappings and their types.

CO 2: Compare the conceptes of Classical Algebra, Abstract Algebra and Linear Algebra

also be able to compare the known algebraic structure with their abstract idea.

CO 3: solve problems on group , ring, field, matrices, vector spaces and eigen vectors and related mathematical concepts

CO 4: to apply the abstract ideas of abstract and linear algebra to solve practical problems. 

CO 6: learn how to develop new mathematica theorems and their proofs.

Semester –II [Core Paper] Topic:  Calculus

Course outcome: After successful completion of the course, Students will be able to:

CO 1: Have an idea about a function from an algebraic, numerical, graphical and verbal perspective and extract information relevant to the 

phenomenon modelled by the function.

CO 2: Understand the meaning of limit, continuity and differentiability and Integration of  functions

CO 3: Derive the value of the limit, continuity and derivative, Integral of a function at a point using their respective definitions.

CO 4: Understand the difference between the limit, continuity, differentiability and of a function at a point.

CO 5: Interpret the geometrical and theoretical concepts of  concepts of differential and integral calculus

CO 6: Represent a function using infinite series.

CO 7: Understand the application of ordinary and partial derivatives of a function as well as the integral of functions

Semester-III [Core Paper] Topic: Differential Equations

Upon completion of this course, students will be able to

CO 1: Incorporate a family of curves with its differential equation and will be able to find the differential equation of a 

given family of curves.

CO 2: Be familiar with concepts of order, degree of a differential equation and able to distinguish between linear, nonlinear,

ordinary and partial differential equations.

CO 3: Acquainted with various methods for solving mainly first order and second order ordinary and partial differential equations.

CO 4: Interpret the difference between general solution and particular solution.

CO 5: Understand the applications of differential equations.

Semester-IV [Core Paper] Topic: Probability theory and Mechanics

After successful completion of the course the students will be able to

CO 1: acquire idea related to probability viz., event space, Probability, distribution, mathematical expectation etc. and

similarly the concepts of mechanics viz.,  equilibrium of coplanar forces , lows of friction, centre of gravity, motion in a straight line 

velocity and acceleration analysis in various approaches, central orbit, inverse square law including work, power , energy etc.

CO 2: compare different ideas of probability and mechanics viz., different definitions of probability, diggerent tyotes 

of dprobability distribution and distribution functions, different types of motion in staright line as well as in plane,  

velocity and acceleration components in different approaches etc.

CO 3: Apply the ideas of probabilty and mechanics in solving related problems.  

Viz., Apply Equation of motion using Newton's laws to particles and rigid bodies etc.

CO 4: state and describe different theories and concept of probability and motion 

CO 5: recognize the situations of using diiferent concepts in solving practical  problems.

CO 6: explain the facts in the light of mechanics and probaility.

Semester V  Topic: Linear Programming Problmes and Game Theory

After taking this course, the student should be able to

CO 1: State and describe the basic terminology and results concerning 

linear optimization and linear programming and the theory of games

CO 2: formulate practical problems in the form of an LPP

CO 3: Describe duality and its implications for the solutions of linear programs.

CO 4: Use the basic simplex method to solve linear programs and prove its convergence to a solution.

CO 5: gain idea about game theory, mainly two person zero sum game with saddle point or without saddle point.

CO 6: acquire the graphical and analytical technique to solve game problems

Semester-VI  Topic: Numerical Methods and Integral Transform

After taking this course, the student should be able to

CO 1: gain the idea of error of approximation along with the approximation rules, interpolation and its application in predicting 

different phenomenon described by a function.

CO 2: use different interpolating polynomial viz. Newton’s formula, Lagrange’s formula, Stirling and Bessel’s polynomial in 

different situations, numerical differentiation formula, the technique to solve differential equations numerically

CO 3: find numerical integration formula viz. Trapezoidal formula, Simpson’s one-third formula

and acquire idea about iteration method and its convergence.

CO 4: acquire idea about  Laplace transformation and Furrier Transformation 

CO 5: find compare the methods viz. bisection method, method of false position, method of fixed point iteration method, Newton’s

method, Secant method for solving an equation numerically upto certain degree of accuracy. 

Similarly can compare  the method of Laplace and Furier Transformation also.

CO 6: use several available methods to Solve the simultaneous equations along with the method of solving differential equations 

by numerical Methods as well as using Furier and Laplace Transformation

 Semester-I  [Skill Enhance Course]  Topic: C Programming Language

Upon completion of this course, students will be

CO 1: able to know  the fundamental concepts of hardware and software.

CO 2: able to gain knowledge of different number systems like Binary, Decimal, Octal, Hexadecimal and will be able to evaluate their conversions.

CO 3: able to have the idea of Algorithms and flowchart and will study their usage in problems.

CO 4: familiar with  basic knowledge of High level language, Compiler & Interpreter.

CO 5: able to be introduced to basic knowledge of programming using C.

CO 6: able to solve simple problems by programming in C.

Semester- II [Skill paper]  Topic: 

Programming Language-Python

Upon completion of the course the students will be able

CO 1: to able to know  the fundamental concepts like variables, functions, loop, list , files and modules related to Python

CO 2: to compare the topics of python with that of C.

CO 3: able to be introduced to basic knowledge of programming using Python.

CO 4: able to solve simple problems by programming in Python.

MDC: [Semeter I, II and III]

Multidisciplinary Course: Basic Mathematics

Upon completion of this course, students will be able to

CO 1: gain the basic knowledge of Set, Relations, Mappings, Probability and Statistics, Coordinate Geometry, use of matrices and determinants and Linear programming problems

CO 2: incorporate the basic mathematical concepts with the known concepts

CO 3: use the concepts to solve the practical problems.

CO 4: apply the basic mathematical concepts in everyday life.