PROGRAMME SPECIFIC OUTCOMES:
Code  Description 
PSO1  Ability to acquire indepth knowledge of Algebra, Calculus, Geometry, Differential equations and several other branches of Mathematics. This also leads to study of related areas like Computer science, Physical science, Chemical science and Life science. Thus, this Program helps learners in building a solid foundation for higher studies in Mathematics. 
PSO2  The skills and knowledge gained has intrinsic beauty, which also leads to proficiency in analytical reasoning. This can be utilized in modelling and solving real life problems. 
PSO3  Prepare and motivate students for research studies in mathematics and related fields. 
PSO4  Utilize mathematics to solve theoretical and applied problems by critical understanding, analysis and synthesis. 
PSO5  Provide knowledge of a wide range of mathematical techniques and application of mathematical methods in other scientific and engineering domains. 
PSO6  Ability to communicate mathematics effectively by written, computational and graphic means. 
PSO7  Create mathematical ideas from basic axioms. 
PSO8  Ability to apply multivariable calculus tools in Physics, Economics, Optimization and understanding the architecture of curves and surfaces in plane and space etc.. 
PSO9  Able to present Mathematics clearly and precisely, make vague ideas precise by formulating them in the language of mathematics. 
PSO10  Describe mathematical ideas from multiple perspectives and explain fundamental concepts of Mathematics to nonmathematicians. 
COURSE CODE : 22UMT01 COURSE NAME : CLASSICAL ALGEBRA AND TRIGONOMETRY
S. NO.  COURSE OUTCOME  BLOOMS VERB  
CO1  Identify the logic behind the execution of various Characterizations in Matrices and Partial fractions Binomial, Exponential, Logarithmic Series.  Remember  
CO2  Understand the concepts of Eigen values, vectors, rank and Hamilton theorems.  Knowledge  
CO3  Analyze and discover the Theory of equations.  Apply  
CO4  Develop the idea about trigonometry and its problem.  Understand  
CO5  Apply the concepts to solve hyperbolic function  Understand  


COURSE CODE : 22UMT02
COURSE NAME : DIFFERENTIAL CALCULUS
S. NO.  COURSE OUTCOME  BLOOMS VERB 
CO1  Have learnt the method of finding nth derivative and to use Leibnitz theorem  Apply 
CO2  Have understood effectively the geometrical aspects of curvature, radius of curvature, involutes, evolutes of plane curves which are essential and elegant applications of differential calculus.  Understand 
CO3  Have understanding in handling functions of more than one variable for finding the maxima and minima of functions of two variables and Lagrange’s multipliers for finding maxima and minima along with the given constants.  Apply 
CO4  Have sound knowledge on calculating angle between radius vector and tangent, angle of intersection of two curves.  Remember 
CO5  Have learnt the various methods of finding Asymptotes for a curve.  Apply 
COURSE CODE : 22UMT03
COURSE NAME : ANALYTICAL SOLID GEOMETRY
S. NO.  COURSE OUTCOME  BLOOMS VERB 
CO1  Have a clear idea about the regular geometrical figures and their properties.  Remember 
CO2  Understanding the concept of Conditions for various situations of a line and Coplanarity of the two lines  Understand 
CO3  Analyze the concept of Projection and image of a line in a plane  Understand 
CO4  Develop the idea about Results based on the properties of a sphere and Tangent plane to a sphere.  Analyze 
CO5  Understanding the concept of Intersection of a cone by a plane and Three mutually perpendicular generators  Analyze 
COURSE CODE : 22UMT04
COURSE NAME : INTEGRAL AND VECTOR CALCULUS
S. NO.  COURSE OUTCOME  BLOOMS VERB 
CO1  Have learnt about Beta, Gamma functions and their relations, Reduction formula and Evaluation of definite integrals.  Remember 
CO2  Have learnt the methods of double and triple integration which are needed in higher studies in other areas along with the confidence to handle integrals of higher orders  Apply 
CO3  Have learnt the methods of double and triple integration which are needed in higher studies in other areas along with the confidence to handle integrals of higher orders  Apply 
CO4  Have studied the basics of vector calculus comprising of gradient, divergence and curl which is mostly used in the study of solenoidal and irrotational fields in physics.  Understand 
CO5  Have learnt the application of line integrals which represent the work done in mechanics. Also surface and volume integrals and the classical theorems involving line, surface and volume integrals which would be encountered by them in higher semesters.  Analyze 
COURSE CODE : 22UMT05
COURSE NAME : DIFFERENTIAL EQUATIONS
S. NO.  COURSE OUTCOME  BLOOMS VERB 
CO1  Have learnt the methods to solve equations of first order and higher degree ,second order differential equations with constant coefficients, complementary function and particular Integral.  Apply 
CO2  An ability to solve second order differential equations with variable coefficients, total differential equations and the method of variation of parameters.  Understand 
CO3  Have knowledge in finding the solutions to differential equations using power series method and frobenius method.  Remember 
CO4  Have learnt the procedure in the formation of partial differential equations by eliminating the arbitrary constant and arbitrary functions and to solve Partial Differential Equations .  Apply 
CO5  Have the ability in finding the solutions to partial differential equations using Charpit’s method and Lagrange’s method and knowledge in solving partial differential equations of higher order.  Understand 
COURSE CODE : 22UMT06
COURSE NAME : STATICS
S. NO.  COURSE OUTCOME  BLOOMS VERB 
CO1  Have a clear idea about Law of forces and their properties.  Remember 
CO2  Understanding the concept of coplanar forces using graphical and analytical method  Understand 
CO3 
Analyze the concept of Equilibrium of three forces , moments and couples. 
Understand 
CO4  Develop the idea about Friction laws and its properties.  Analyzing 
CO5  Understanding the catenary and its common properties and its real life problems.  Analyzing 
COURSE CODE : 22UMT07
COURSE NAME : INTEGRAL TRANSFORMS AND FOURIER SERIES
S. NO.  COURSE OUTCOME  BLOOMS VERB 
CO1  Have a sound knowledge of Laplace Transform and its properties  Remember 
CO2  Have sufficient exposure to get the solution of certain linear differential equation using Laplace Transform and inverse Laplace Transform.  Apply 
CO3  Have an idea of periodic function and come to know how to expand the given functions as a series of sines and cosines which are simple periodic functions.  Apply 
CO4  Have an idea of change of integral and half range sine and cosine series.  Apply 
CO5  Have known Complex Fourier Transform and its inversions and Properties of Fourier transforms  Apply 
COURSE CODE : 22UMT08
COURSE NAME : DYNAMICS
S. NO.  COURSE OUTCOME  BLOOMS VERB 
CO1  Behavior of motion of objects. Applications of Projectile in practical problems  Understand 
CO2  Have an idea about central orbit and its pedal equation  Understand 
CO3  Develop the idea about Simple Harmonic Motion and its Applications.  Understand 
CO4  Analyze the Behavior of elastic bodies in real life problems, direct impact of two smooth spheres  Analyzing 
CO5  Analyze the Behavior of elastic bodies in real life problems, oblique impact of two smooth spheres  Analyzing 
COURSE CODE : 22UMT09
COURSE NAME : ABSTRACT ALGEBRA – I
S. NO.  COURSE OUTCOME  BLOOMS VERB 
CO1  Acquiring knowledge of basic abstract systems of Mathematics.  Remember 
CO2  Understand the normal sub group and Quotient groups.  Knowledge 
CO3  Demonstrate understanding of the importance of homomorphism and isomorphism in groups.  Understanding 
CO4  Develop the idea about the rings, integral domain, field and maximal ideal.  Applications 
CO5  Understanding the Field of Quotient of an Integral Domain, Euclidean Rings, Principal ideal Ring.  Knowledge 
COURSE CODE : 22UMT10
COURSE NAME : REAL ANALYSIS – I
S. NO.  COURSE OUTCOME  BLOOMS VERB 
CO1  Identify the difference between lub and glb.  Remember 
CO2  Understand the concepts convergent sequence and Cauchy sequence.  Knowledge 
CO3  Tests for absolute convergence and conditional convergence.  Apply 
CO4  Develop the idea about limit of a function on the real line.  Understand 
CO5  Apply the concepts of open sets and closed sets.  Knowledge 
COURSE CODE : 22UMT11
COURSE NAME : COMPLEX ANALYSIS – I
S. NO.  COURSE OUTCOME  BLOOMS VERB 
CO1  Have knowledge about the Regions in the complex plane, functions of a complex variable, limits and their properties.  Remember 
CO2  Have learnt a complex valued functions w(t), Antiderivatives, Contours, contour integrals and their properties.  Knowledge 
CO3  Have a sufficient exposure to various theorems like Maximum modulus theorem, Liouville’s theorem etc.  Understanding 
CO4  Have learnt the mappings and their properties.  Applications 
CO5  Have learnt the elementary transformations, Bilinear transformation and various mappings.  Knowledge 
COURSE CODE : 22UMT12
COURSE NAME ; OPERATIONS RESEARCH – I
S. NO.  COURSE OUTCOME  BLOOMS VERB 
CO 1  Acquire the knowledge of Mathematical formulation of the LPP and to solve them graphically.  Remember 
CO 2  Getting acquainted with simplex procedure and the uses of artificial variable techniques.  Knowledge 
CO 3  Recognize the concepts and properties of Economic interpretation of duality and Dual Simplex method.  Understanding 
CO 4  Finding an initial basic feasible solution and test for optimality of a TP.  Applications 
CO 5  Acquire the knowledge about the concepts of a typical Assignment Problem.  Knowledge 
COURSE CODE : 22UMTM1
COURSE NAME : NUMERICAL METHODS – I
S. NO.  COURSE OUTCOME  BLOOMS VERB 
CO1  Solving the algebraic and transcendental equations by using Bisection, Newton’s method and some iterative methods.  Apply 
CO2  Learning the methods like matrix inversion, Gaussian, Gauss seidel methods etc., for solving linear system of algebraic equations.  Knowledge 
CO3  Expressing any value of y in terms of y_{n} and the backward differences of y_{n}, differences of a Polynomial, Factorial Polynomial and error propagation in a difference table.  Apply 
CO4  Having a sufficient exposure in constructing difference tables and to use Newton’s forward and backward formula for interpolation in equal intervals.  Understand 
CO5  Having learnt to construct divided difference table and to use Stirling’s and Lagrange’s interpolation formula for unequal intervals.  Knowledge 
COURSE CODE ; 22UMTM2
COURSE NAME : ASTRONOMY – I
S. NO.  COURSE OUTCOME  BLOOMS VERB 
CO1  Identify the difference between Comets and meteorites.  Remember 
CO2  Understand the concepts Celestial sphere, Celestial co – ordinates and Diurnal motion.  Knowledge 
CO3  Tests for finding Dip, Twilight and Geocentric parallex.  Apply 
CO4  Develop the idea about Refraction, Tangent formula and Cassinis formula  Understand 
CO5  Apply the concepts of Kepler’s laws.  Knowledge 
COURSE CODE : 22UMTM3
COURSE NAME : DISCRETE MATHEMATICS
S. NO.  COURSE OUTCOME  BLOOMS VERB 
CO1  Understand the concepts of Connectives , Tautology ,Contradiction and Equivalence.  Understand 
CO2  Identify the difference between Disjunctive ,Conjunctive normal forms and Principal Disjunctive, Conjunctive normal forms.  Remember 
CO3  Apply the concepts of permutation and combination  Apply 
CO4  To Develop the idea about of Divisibility, Prime Numbers, Fundamental theorem of Arithmetic and GCD, LCM.  Knowledge 
CO5  To Develop the idea about Lattices and Boolean algebra.  Apply 
COURSE CODE : 22UMTM4
COURSE NAME : PROGRAMMING IN C
S. NO.  COURSE OUTCOME  BLOOMS VERB 
CO1  Understand the concepts of Basic structure of C Programme and Declaration of variables  Understand 
CO2  Identify the difference between Arithmetic operators and Arithmetic expressions  Remember 
CO3  To Develop the idea about Reading and Writing character , formatted input and output  Knowledge 
CO4  Apply the concepts of The WHILE statement – the DO statement  Knowledge 
CO5  To Develop the idea about Declaring and initializing string variables  Apply 
COURSE CODE : 22UMT13
COURSE NAME : ABSTRACT ALGEBRA – II
S. NO.  COURSE OUTCOME  BLOOMS VERB 
CO1  Acquiring knowledge of vector space, Internal direct sum and External direct sum.  Remember 
CO2  Understand the Linear Independence & Quotient space.  Knowledge 
CO3  Demonstrate understanding of the importance of inner product space.  Understanding 
CO4  Develop the idea about the linear transformation, matrices.  Applications 
CO5  Understanding the traces, transposes and determinants.  Knowledge 
COURSE CODE : 22UMT14
COURSE NAME : REAL ANALYSIS – II
S. NO.  COURSE OUTCOME  BLOOMS VERB 
CO1  Identify the difference among connectedness, completeness and compactness.  Remember 
CO2  Understand the concepts of continuous functions on compact metric spaces.  Knowledge 
CO3  Tests for existence of the Riemann integral.  Apply 
CO4  Develop the idea about the improper integrals.  Understand 
CO5  Apply the concepts of uniform convergence.  Knowledge 
COURSE CODE : 22UMT15
COURSE NAME ; COMPLEX ANALYSIS – II
S. NO.  COURSE OUTCOME  BLOOMS VERB 
CO1  Have learnt to expand the given function in terms of Taylor’s and Laurent’s series.  Remember 
CO2  Have knowledge about the absolute and uniform convergence of Power series, continuity of sums of Power series, integration and differentiation of Power series and their properties.  Knowledge 
CO3  Have learnt the isolated singular Points, residues, Cauchy’s residue theorem and their properties.  Understanding 
CO4  Have learnt the method of definite integrals involving sines and cosines , Argument principle, Rouche’s theorem.  Applications 
CO5  Have knowledge in the evaluation of improper real integrals and their properties.  Knowledge 
COURSE CODE : 22UMT16
COURSE NAME : OPERATIONS RESEARCH – II
S. NO.  COURSE OUTCOME  BLOOMS VERB 
CO 1  Acquire the knowledge of sequencing problems and solving different kinds of sequencing problems.  Remember 
CO 2  Getting acquainted with the concepts of decision making under various environment  Knowledge 
CO 3  Recognize the concepts of MaximinMinimax principle and to solve problems with and without saddle Point.  Understanding 
CO 4  Assimilate the concept of replacement of equipment that deteriorates gradually and replacement of equipment that fails suddenly  Applications 
CO 5  Acquire the knowledge about the concepts of distinction between PERT and CPM and problems relating to applications of Network techniques.  Knowledge 
COURSE CODE : 22UMTM5
COURSE NAME : NUMERICAL METHODS – II
S. NO.  COURSE OUTCOME  BLOOMS VERB 
CO1  Get derivative using numerical differentiation and to find maxima and minima of the function.  Apply 
CO2  Do numerical integration by using Newton’s methods and Trapezoidal, Simpson’s rule  Knowledge 
CO3  Find the numerical solution of O.D.E using different methods like Taylor series, Euler, Rungekutta methods etc.  Apply 
CO4  Solve higher order and simultaneous O.D.E using Rungekutta methods and predictor and corrector methods.  Apply 
CO5  Understand the classifications of P.D.E. and to find the numerical solutions of P.D.E.  Understand 
COURSE CODE : 22UMTM6
COURSE NAME : ASTRONOMY – II
S. NO.  COURSE OUTCOME  BLOOMS VERB 
CO1  Identify the difference between Equation of time ,Conversion of time ,Seasons and Calendar.  Remember 
CO2  Understand the concepts Annual Parallax and Aberration.  Knowledge 
CO3  Tests for finding the Precession and Nutation.  Apply 
CO4  Develop the idea the Moon and Eclipses  Understand 
CO5  Apply the concepts of Planetary Phenomenon and the Stellar system  Knowledge 
COURSE CODE : 22UMTM7
COURSE NAME ; GRAPH THEORY
S. NO.  COURSE OUTCOME  BLOOMS VERB 
CO1  Know the basic definitions and concepts of Graphs and Subgraphs.  Remember 
CO2  Gets an idea on walks, Trials, Paths and Connectedness  Knowledge 
CO3  Gets sufficient exposure of Eulerian and Hamiltonian graphs  Apply 
CO4  Develop an idea about trees and Matchings in Bipartite graph.  Understand 
CO5  Gains the knowledge of planar graphs and its properties  Knowledge 
COURSE CODE : 22AMT01
COURSE NAME ; ALLIED MATHEMATICS – I
S. NO.  COURSE OUTCOME  BLOOMS VERB 
CO1  Be capable of identifying algebraic eigen value problem and the eigen value solutions in certain cases.  Remember 
CO2  Have knowledge about the formation of equations, solution of equations and handling roots.  Apply 
CO3  Have learnt the method of finding the solution of the radius of curvature in Cartesian coordinates and polar coordinates.  Understand 
CO4  Have an understanding about the definite integral and their properties, integration by parts and reduction formula.  Understand 
CO5  Have learnt finite differences, construction of difference table and interpolation  Apply 
COURSE CODE : 22AMT02
COURSE NAME ; ALLIED MATHEMATICS – II
S. NO.  COURSE OUTCOME  BLOOMS VERB 
CO1  Have learnt the methods to solve second order differential equations with constant coefficients, complementary function and particular Integral  Apply 
CO2  Have learnt the method of formation of partial differential equations by eliminating the arbitrary constant and arbitrary functions  Understand 
CO3  Have learnt the solution procedure to solve Partial Differential Equations  Remember 
CO4  Have a sound knowledge of Laplace Transform and its properties  Apply 
CO5  Have a sufficient knowledge of inverse Laplace Transform  Understand 
COURSE CODE : 22AMTP1
COURSE NAME : PRACTICAL – ALLIED MATHEMATICS
S. NO.  COURSE OUTCOME  BLOOMS VERB 
CO1  Have studied how to do successive differentiation by applying Leibnitz formula  Remember 
CO2  Have learnt about homogeneous function in partial differentiation and the Euler’s theorem  Understand 
CO3  Have studied the basics of vector calculus comprising of gradient, divergence and curl which is mostly used in the study of Solenoidal and Irrotational fields in physics.  Apply 
CO4  Have learnt the application of line integrals which represent the workdone in mechanics. Also surface and volume integrals and the classical theorems involving line, surface and volume integrals which would be encountered by them in higher semesters  Apply 
CO5  Have sufficient exposure to get the solution of certain linear differential equation using Laplace Transform and inverse Laplace Transform  Apply 
COURSE CODE : 22UMTN1
COURSE NAME : BASIC MATHEMATICS
S. NO.  COURSE OUTCOME  BLOOMS VERB 
CO1  Understand the fundamentals and to calculate H.C.F. & L.C.M of Numbers.  Remember 
CO2  Provide to calculate operations on numbers  Apply 
CO3  Comprehend the concept and to calculate percentage.  Understand 
CO4  Identify the Applications and to calculate the area.  Analyze 
CO5  Explore the concepts and to calculate volume and surface area.  Evaluate 
COURSE CODE : 22UMTN2
COURSE NAME : MATHEMATICS FOR COMPETITIVE EXAMINATIONS
S. NO.  COURSE OUTCOME  BLOOMS VERB 
CO1  Understand the fundamentals of Averages and problems on numbers  Remember 
CO2  Provide the concept and to Find the Profit and loss of the given problem.  Apply 
CO3  Comprehend the concept about Ratio and proportion, partnership  Understand 
CO4  Identify the Applications and to solve the Simple interest and Compound interest.  Analyze 
CO5  Explore the concepts and to solve problems of Odd man out and series.  Evaluate 