DEPARTMENT  OF MATHEMATICS

VISION

            The Department of Mathematics aims at holistic development through academic excellence,   employability, acquisition of analytical skills and higher research.

MISSION

  • To motivate the students in upgrading their interest in contemporary  mathematical

 techniques.

  • To strengthen the students analytical abilities in the field of mathematics.
  • To learn new mathematics of their own.
  • To provide students in General Education mathematics courses with substantive skills in quantitative and abstract reasoning and in the use of mathematics as a  computational and analytical tool.
  • To ignite a passion for learning and teaching at high levels

II – PROGRAMME SPECIFIC OUTCOMES (PSOs):

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 To recognize patterns and to distinguish between essential and irrelevant aspects of problems.
PSO-4 Utilize mathematics to solve theoretical and applied problems by critical understanding, analysis and synthesis.
PSO-5 Ability to share ideas and insight while seeking and benefitting from knowledge and insight of others. This helps them to learn behave responsibility in a rapidly changing interdependent society.
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, describe mathematical ideas from multiple perspectives and explain fundamental concepts of Mathematics to non-mathematicians.
PSO-10 Under graduate students are to be passionately engaged in initial learning with an aim to think differently as agents of new knowledge, understanding and applying new ideas in order to acquire employability/ self employment.

COURSE OUTCOMES

Course Name: ALGEBRA AND TRIGONOMETRY                                           Course Code: 17UMT01

S. NO. COURSE OUTCOME PSOs Addressed  BLOOMS VERB
CO1 Identify the logic behind the execution of various Characterizations in Matrices and Partial fractions Binomial, Exponential, Logarithmic Series. 1,2,3,4,5,6,7,8,9,10 Remember
CO2 Understand the concepts of Eigen values, vectors, rank and Hamilton theorems. 1,2,3,4,5,6,7,9,10 Knowledge
CO3 Analyze and discover the Theory of equations. 1,3,4,5,6,7,9,10 Apply
CO4 Develop the idea about trigonometry and its problem. 1,2,3,4,5,6,7,9,10 Understand
CO5 Apply the concepts to solve hyperbolic function 1,2,3,4,5,6,7,9,10

Understand

Course Name: DIFFERENTIAL CALCULUS                                                          Course Code: 17UMT02

S. NO. COURSE OUTCOME PSOs Addressed  BLOOMS VERB
CO1 Have learnt the method of finding nth derivative and to use Leibnitz theorem 1,3,4,5,6,7,8,9,10 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. 1,2,3,4,5,6,7,8,9,10 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. 1,2,4,5,6,7,8,9,10 Apply
CO4 Have sound knowledge on calculating angle between radius vector and tangent, angle of intersection of two curves. 1,2,3,4,5,6,7,8,9,10 Remember
CO5 Have learnt the various methods of finding Asymptotes for a curve. 1,2,3,4,5,6,7,8,9,10 Apply

Course Name: INTEGRAL AND VECTOR CALCULUS                                        Course Code: 17UMT03

S. NO. COURSE OUTCOME PSOs Addressed  BLOOMS VERB
CO1 Have learnt about Beta, Gamma functions and their relations, Reduction formula and Evaluation of definite integrals. 1,2,3,4,5,6,7,8,9,10 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 1,2,3,4,5,6,7,8,9,10 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 1,2,3,4,5,6,7,8,9,10 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. 1,2,3,4,5,6,7,8,9,10 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. 1,2,3,4,5,6,7,8,9,10 Analyze

Course Name: DIFFERENTIAL EQUATIONS                                                         Course Code: 17UMT04

S. NO. COURSE OUTCOME PSOs Addressed  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. 1,2,3,4,5,6,7,8,9,10 Apply
CO2 An ability to solve second order differential equations with variable coefficients, total differential equations and the method of variation of parameters. 1,2,3,4,5,6,7,8,9,10 Understand
CO3 Have knowledge in finding the solutions to differential equations using power series method and  frobenius  method. 1,2,3,4,5,6,7,8,9,10 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 . 1,2,3,4,5,6,7,8,9,10 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. 1,2,3,4,5,6,7,8,9,10 Understand

Course Name: INTEGRAL TRANSFORMS                                                           Course Code: 17UMT05

S. NO. COURSE OUTCOME PSOs Addressed  BLOOMS VERB
CO1 Have a sound knowledge of Laplace Transform and its properties 1,2,3,4,5,6,7,8,9,10 Remember
CO2 Have sufficient exposure to get the solution of certain linear differential equation using Laplace Transform and inverse Laplace Transform. 1,2,3,4,5,6,7,8,9,10 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. 1,2,3,4,5,6,7,8,9,10 Apply
CO4 Have an idea of change of integral and half range sine and cosine series. 1,2,3,4,5,6,7,8,9,10 Apply
CO5 Have known Complex Fourier Transform and its inversions and Properties of Fourier transforms 1,2,3,4,5,6,7,8,9,10 Apply

Course Name: MECHANICS                                                                                        Course  Code: 17UMT06

S. NO. COURSE OUTCOME PSOs Addressed  BLOOMS VERB
CO1 Have knowledge about the law of parallelogram of forces, Lami’s theorem and Resolution of forces. 1,2,3,4,5,6,7,8,9,10 Remember
CO2 Have studied about the like parallel forces, unlike parallel forces, moments, Varigon’s theorem of moments and their properties. 1,2,3,4,5,6,7,8,9,10 Understanding
CO3 Have an idea of the coplanar motions of particles under gravity and forces on a projectile. 1,2,3,4,5,6,7,8,9,10 Apply
CO4 Have gained the knowledge of simple harmonic motion and their properties. 1,2,3,4,5,6,7,8,9,10 Knowledge
CO5 Have understanding about the radial and transverse components of velocity and acceleration, differential equation of a central orbit and their properties. 1,2,3,4,5,6,7,8,9,10 Understanding

Course Name: MODERN ALGEBRA – I                                                                     Course Code: 17UMT07

S. NO. COURSE OUTCOME PSOs Addressed  BLOOMS VERB
CO1 Acquiring knowledge of basic abstract systems of Mathematics. 1,2,4,5,6,7,8,9,10 Remember
CO2 Understand the normal sub group and Quotient groups. 1,2,3,4,5,6,7,9,10 Knowledge
CO3 Demonstrate understanding of the importance of homomorphism and isomorphism in groups. 1,2,3,4,5,7,8,9,10 Understanding
CO4 Develop the idea about the rings, integral domain, field and maximal ideal. 1,2,3,5,6,7,8,9,10 Applications
CO5 Understanding the  Field of Quotient of an Integral Domain, Euclidean Rings, Principal ideal Ring. 1,3,4,5,6,7,8,9,10 Knowledge

Course Name: REAL ANALYSIS – I                                                                           Course  Code: 17UMT08

S. NO. COURSE OUTCOME PSOs Addressed  BLOOMS VERB
CO1 Identify the difference between lub and glb. 1,2,4,5,6,7,8,9,10 Remember
CO2 Understand the concepts convergent sequence and Cauchy sequence. 1,2,3,4,5,6,7,9,10 Knowledge
CO3 Tests for absolute convergence and conditional convergence. 1,3,4,5,6,7,9,10 Apply
CO4 Develop the idea about limit of a function on the real line. 1,2,3,4,5,6,7,9,10 Understand
CO5 Apply the concepts of open sets and closed sets. 1,2,3,4,5,6,7,9,10 Knowledge

Course Name: COMPLEX ANALYSIS -I                                                                   Course Code: 17UMT09

S. NO. COURSE OUTCOME PSOs Addressed BLOOMS VERB
CO1 Have knowledge about the Regions in the complex plane, functions of a complex variable, limits and their properties. 1,2,3,4,5,6,7,8,9,10 Remember
CO2 Have learnt a complex valued functions w(t), Anti-derivatives, Contours, contour integrals and their properties. 1,2,3,4,5,6,7,8,9,10 Knowledge
CO3 Have a sufficient exposure to various theorems like Maximum modulus theorem, Liouville’s theorem etc. 1,2,3,4,5,6,7,8,9,10 Understanding
CO4 Have learnt the mappings and their properties. 1,2,3,4,5,6,7,8,9,10 Applications
CO5 Have learnt the elementary transformations, Bilinear transformation and various mappings. 1,2,3,4,5,6,7,8,9,10 Knowledge

Course Name: MODERN ALGEBRA – II                                                                Course Code: 17UMT10

S. NO. COURSE OUTCOME PSOs Addressed  BLOOMS VERB
CO1 Acquiring knowledge of vector space, Internal direct sum and External direct sum. 1,2,4,5,6,7,8,9,10 Remember
CO2 Understand the Linear Independence & Quotient space. 1,2,3,4,5,6,7,9,10   Knowledge
CO3 Demonstrate understanding of the importance of inner product space. 1,2,3,4,5,7,8,9,10 Understanding
CO4 Develop the idea about the linear transformation, matrices. 1,2,3,5,6,7,8,9,10 Applications
CO5 Understanding the traces, transposes and determinants. 1,3,4,5,6,7,8,9,10 Knowledge

Course Name: REAL ANALYSIS – II                                                                        Course Code: 17UMT11

S. NO. COURSE OUTCOME PSOs Addressed  BLOOMS VERB
CO1 Identify the difference among connectedness, completeness and compactness. 1,2,3,5,6,8,9,10 Remember
CO2 Understand the concepts of  continuous functions on compact metric spaces. 1,2,4,5,6,7,8,9,10 Knowledge
CO3 Tests for existence of the Riemann integral. 1,3,5,6,7,8,9,10 Apply
CO4 Develop the idea about the improper integrals. 1,2,3,4,6,7,8,9,10 Understand
CO5 Apply the concepts of uniform convergence. 1,2,4,5,6,7,9,10 Knowledge

 Course Name: COMPLEX ANALYSIS – II                                                             Course     Code: 17UMT12

S. NO. COURSE OUTCOME PSOs Addressed BLOOMS VERB
CO1 Have learnt to expand the given function in terms of Taylor’s and Laurent’s series. 1,2,3,4,5,6,7,8,9,10 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. 1,2,3,4,5,6,7,8,9,10 Knowledge
CO3 Have learnt the isolated singular points, residues, Cauchy’s residue theorem and their properties. 1,2,3,4,5,6,7,8,9,10 Understanding
CO4 Have learnt the method of definite integrals involving sines and cosines , Argument principle, Rouche’s theorem. 1,2,3,4,5,6,7,8,9,10 Applications
CO5 Have knowledge in the evaluation of improper real integrals and their properties. 1,2,3,4,5,6,7,8,9,10 Knowledge

Course Name: Major Based Elective IV:GRAPH THEORY                              Course Code:17UMTM1

S. NO. COURSE OUTCOME PSOs Addressed  BLOOMS VERB
CO1 Know the basic definitions and concepts of Graphs and Subgraphs. 1,2,4,5,6,7,8,9,10 Remember
CO2 Gets an idea on walks, Trials, Paths and Connectedness 1,2,3,4,5,6,7,9,10 Knowledge
CO3 Gets sufficient exposure of Eulerian and Hamiltonian graphs 1,3,4,5,6,7,9,10 Apply
CO4 Develop an idea about trees and Matchings in Bipartite graph. 1,2,3,4,5,6,7,9,10 Understand
CO5 Gains the knowledge of planar graphs and its properties 1,2,3,4,5,6,7,9,10 Knowledge

Course Name: Major Based Elective II: Discrete Mathematics                    Course  Code: 17UMTM2

S. NO. COURSE OUTCOME PSOs Addressed  BLOOMS VERB
CO1 Understand the concepts of Connectives , Tautology ,Contradiction and Equivalence. 1,2,3,4,5,6,7,8,9,10 Understand
CO2 Identify the difference between Disjunctive ,Conjunctive normal forms and Principal  Disjunctive, Conjunctive normal forms. 1,2,3,4,5,6,7,8,9,10 Remember
CO3 Apply the concepts of  permutation and combination 1,2,3,4,5,6,7,8,9,10 Apply
CO4 To Develop the idea about of Divisibility, Prime Numbers, Fundamental theorem of Arithmetic and GCD, LCM. 1,2,3,4,5,6,7,8,9,10 Knowledge
CO5 To Develop the idea about Lattices and Boolean algebra. 1,2,3,4,5,6,7,8,9,10 Apply

Course Name: OPERATIONS RESEARCH                                                           Course Code: 17UMTM3

S. NO. COURSE OUTCOME PSOs Addressed  BLOOMS VERB
CO1 Acquire the knowledge of Mathematical formulation of the LPP and to solve them graphically. 1,2,3,4,5,6,7,8,9,10 Remember
CO2 Getting acquainted with simplex procedure and the uses of artificial variable techniques. 1,2,3,4,5,6,7,8,9,10 Knowledge
CO3 Recognize the concepts and properties of Economic interpretation of duality and Dual Simplex method. 1,2,3,4,5,6,7,8,9,10 Understanding
CO4 Finding an initial basic feasible solution and test for optimality of a TPP. 1,2,3,4,5,6,7,8,9,10 Applications
CO5 Acquire the knowledge about the concepts of a typical Assignment Problem. 1,2,3,4,5,6,7,8,9,10 Knowledge

Course Name: Skill Enhancement Course I: BASIC ALGEBRA                    Course Code: 17UMTS1

S. NO. COURSE OUTCOME PSOs Addressed  BLOOMS VERB
CO1  Have an distinguish certain ordered pairs from  others   and to define the relations from a set S to itself. 1,2,3,4,5,6,7,8,9,10 Remember
CO2   Have an ability to understand the equivalence classes and the partitions. 1,2,4,5,6,7,8,9,10 Understand
CO3 Have an ability to understand the notion of functions, surjective and bijective functions. 1,2,3,4,5,6,7,8,9,10 Apply
CO4 Have an knowledge on composition of functions 1,2,3,5,6,7,8,9,10 Understand
CO5  Have an ability to understand the inverse functions and some identities of functions. 1,2,3,4,5,6,7,8,9,10 Apply

Course Name: Skill Enhancement Course II: SEQUENCES AND SERIES        Course Code: 17UMTS2

S. NO. COURSE OUTCOME PSOs Addressed  BLOOMS VERB
CO1 An ability to understand about sequences, bounded sequences and its convergence and divergence. 1,2,3,4,5,6,7,8,9,10 Knowledge
CO2 An ability to understand the Algebra of limits 1,2,3,4,5,6,7,9,10 Knowledge
CO3 An ability to analyse the behaviour of monotonic sequences. 1,3,4,5,6,7,9,10 Apply
CO4 An ability to apply the concept of the subsequence and Cauchy sequences. 1,2,3,4,5,6,7,9,10 Understand
CO5 An ability to apply the concept of infinite series 1,2,3,4,5,6,7,9,10 Understand

Course Name: NMEC-I: QUANTITATIVE APTITUDE                                        Course Code: 17UMTN1

S. NO. COURSE OUTCOME PSOs Addressed  BLOOMS VERB
CO1 An ability to calculate H.C.F. & L.C.M of Numbers. 1,2,3,4,5,6,7,8,9,10 Apply
CO2 An ability to calculate decimal fractions 1,2,3,4,5,6,7,8,9,10 Apply
CO3 An ability to calculate simplification 1,2,3,4,5,6,7,8,9,10 Apply
CO4 An ability to calculate square roots and cube roots 1,2,3,4,5,6,7,8,9,10 Apply
CO5 An ability to calculate average 1,2,3,4,5,6,7,8,9,10 Apply

Course Name: NMEC- II: MATRIX ALGEBRA                                                      Course Code: 17UMTN2 

S. NO. COURSE OUTCOME PSOs Addressed  BLOOMS VERB
CO1  Have an ability to Add, Subtract and Multiple  of matrices 1,2,3,4,5,6,7,8,9,10 Apply
CO2   Have an ability to  find transpose of a matrix, adjoin of a matrix and inverse of a matrix 1,2,3,4,5,6,7,9,10 Understand
CO3 Have an ability to understand the notion of symmetric, skew symmetric, hermitian and skew-hermitian matrices. 1,3,4,5,6,7,9,10 Understand
CO4 Have an knowledge to find the rank of a matrix 1,2,3,4,5,6,7,9,10 Knowledge
CO5  Have an ability to apply Cayley Hamilton theorem. 1,2,3,4,5,6,7,9,10 Apply

Course Name: Skill Enhancement Course III: QUANTITATIVE APTITUDE–I        Course Code: 17UMTS3

S. NO. COURSE OUTCOME PSOs Addressed  BLOOMS VERB
CO1 An ability to calculate Time and Work 1,2,3,4,5,6,7,8,9,10 Apply
CO2 An ability to calculate Time & Distance 1,2,3,4,5,6,7,8,9,10 Apply
CO3 An ability to calculate Problems on Trains 1,2,3,4,5,6,7,8,9,10 Apply
CO4 An ability to calculate Boats and Streams 1,2,3,4,5,6,7,8,9,10 Apply
CO5 An ability to calculate Simple Interest and Compound Interest 1,2,3,4,5,6,7,8,9,10 Apply

Course Name: Skill Enhancement Course IV: QUANTITATIVE APTITUDE–II       Course Code: 17UMTS4 

S. NO. COURSE OUTCOME PSOs Addressed  BLOOMS VERB
CO1 An ability to calculate area. 1,2,3,4,5,6,7,8,9,10 Apply
CO2 An ability to calculate volume and surface area. 1,2,3,4,5,6,7,8,9,10 Apply
CO3 An ability to calculate Races and games of skill, Calendar 1,2,3,4,5,6,7,8,9,10 Apply
CO4 An ability to calculate Clocks, Stock and Shares 1,2,3,4,5,6,7,8,9,10 Apply
CO5 An ability to calculate Permutations and combinations, Probability 1,2,3,4,5,6,7,8,9,10 Apply

Course Name: Skill Enhancement Course V: QUANTITATIVE APTITUDE–III      Course Code: 17UMTS5

S. NO. COURSE OUTCOME PSOs Addressed  BLOOMS VERB
CO1   An ability to calculate area 1,2,3,4,5,6,7,8,9,10 Apply
CO2   An ability to calculate volume and surface area 1,2,3,4,5,6,7,8,9,10 Apply
CO3   An ability to calculate races and games of skill 1,2,3,4,5,6,7,8,9,10 Apply
CO4   An ability to calculate Calendar 1,2,3,4,5,6,7,8,9,10 Apply
CO5   An ability to calculate clocks 1,2,3,4,5,6,7,8,9,10 Apply

Course Name: Skill Enhancement Course VI: QUANTITATIVE APTITUDE–IV  Course  Code: 17UMTS6

S. NO. COURSE OUTCOME PSOs Addressed  BLOOMS VERB
CO1 An  ability to calculate stocks and shares 1,2,3,4,5,6,7,8,9,10 Apply
CO2 An ability to calculate permutation and combinations. 1,2,3,4,5,6,7,8,9,10 Apply
CO3 An ability to calculate probability 1,2,3,4,5,6,7,8,9,10 Apply
CO4 An ability to calculate true discount and banker’s discount 1,2,3,4,5,6,7,8,9,10 Apply
CO5 An ability to calculate heights and distances 1,2,3,4,5,6,7,8,9,10 Apply