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 |