Course Outcomes (CBCS)

                                                Course Outcomes:

Semester –I  [Core Paper]  Topic: Differential 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 partial derivative of a function

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

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

CO 5: Interpret the geometrical and theoretical concepts of mean value theorems

 CO 6: Represent a function using infinite series.

CO 7: Understand the application of ordinary and partial derivatives of a function.

Semester-II  [Core Paper]  Topic: Differential Calculus

   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-III [Core Paper]  Topic:  Real Analysis

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

CO 1: understand the number system and point set theory

CO 2: know the basic postulates  of real numbers  and gain the idea about the basic properties of real numbers

CO 3: get the knowledge of Sequence and Series of real numbers

CO 4: recognize the difference between pointwise and uniform convergence of sequence and series of functions.

CO 5: illustrate the effect of uniform convergence on the limit function and sum function with respect to continuity, integrability and differentiability.

CO 6: familiar with concepts of power series, radius of convergence and illustrate properties and convergence of power series.

Semester-IV  [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 sets, relations and acquire knowledge of the concepts mappings and their types.

CO 2: gain working knowledge of important mathematical concepts like groups and subgroups

CO 3: compare the known algebraic structure with their abstract idea.

CO 4: have knowledge of many mathematical concepts studied in abstract algebra such as Permutation groups, Abelian groups, Cyclic groups and normal subgroups  

CO 5: Gain knowledge of homomorphism of groups, learn Isomorphism theorem and apply them to problems.

CO 6: introduce to the mathematical concepts of rings, zero divisors, Integral domains, fields and their properties.

Semester-V  [DSE]  Topic: Matrices

Upon completion of the course, students will able to

CO 1: acquire the idea of representing a system of equation in matrix form and its advantages, the process of matrix operations , matrix transformation, the knowledge of eigen values and eigen vectors and their application.

CO 2: determine the determinant of a square matrix and rank of a matrix and solve related problems along with  matrix representation of a linear transformation relative to ordered bases of finite dimensional vector spaces

CO 3: solve a system of equations by using the idea of matrices.

CO 4: apply matrices in geometry, physics, chemistry and combinatorics

CO 5: acquainted with the idea of vector spaces over the real field, linear transformations, null space, range space.

CO 6: Learn change of basis theorem and apply them to problems.

·         Semester –V  [Alternative DSE ]  Topic: Mechanics

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

CO 1: acquire idea about the equilibrium of a particle of coplanar forces acting on a particle,  rectilinear motion of particles,  velocity and acceleration analysis of mechanisms using vector analysis approach, the lows of friction and to calculate the amount of friction acting on a body

CO 2: gain the idea of forces acting on a particle moving on a plain cure or a space curve.

CO 3: Apply Equation of motion using Newton's  laws to particles and rigid bodies

CO 4: understand  about the type of forces, work, power and energy

CO 5: understand the idea of centre of gravity of a particle.

CO 6: use the concept of projectiles and solve related problems.

Semester-VI  [DSE]  Topic:  Numerical Methods

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

CO 4: acquire idea about iteration method and its convergence.

CO 5: find some 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.

CO 6: use several available methods to Solve the simultaneous equations.

Semester VI  [Alternative DSE]  Topic: Linear Programming

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

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-III/V  [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-IV/VI  [Skill Enhance Course]  Topic: Logic and Sets

After completion of the course students are expected to be able to:

CO 1: gain mathematical logic and will be able to explain statement with reasoning.

CO 2: Analyze logical propositions via truth tables.

CO 3: Prove mathematical theorems using mathematical induction.

CO 4: gain idea about predicate and quantifier,  sets and perform operations and algebra on sets.

CO 5:  identify equivalence and partial order relations, and determine properties of relations.