PROGRAMME SPECIFIC OUTCOMES:
| Code | Description |
| PSO-1 | Ability to acquire in-depth 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. |
| PSO-2 | 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. |
| PSO-3 | Prepare and motivate students for research studies in mathematics and related fields. |
| PSO-4 | Utilize mathematics to solve theoretical and applied problems by critical understanding, analysis and synthesis. |
| PSO-5 | Provide knowledge of a wide range of mathematical techniques and application of mathematical methods in other scientific and engineering domains. |
| PSO-6 | Ability to communicate mathematics effectively by written, computational and graphic means. |
| PSO-7 | Create mathematical ideas from basic axioms. |
| PSO-8 | Ability to apply multivariable calculus tools in Physics, Economics, Optimization and understanding the architecture of curves and surfaces in plane and space etc.. |
| PSO-9 | Able to present Mathematics clearly and precisely, make vague ideas precise by formulating them in the language of mathematics. |
| PSO-10 | Describe mathematical ideas from multiple perspectives and explain fundamental concepts of Mathematics to non-mathematicians. |
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 | |
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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 Co-planarity 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), Anti-derivatives, 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 yn and the backward differences of yn, 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 Maximin-Minimax 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, Runge-kutta methods etc. | Apply |
| CO4 | Solve higher order and simultaneous O.D.E using Runge-kutta 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 |