POs, PSOs & Cos

PO 1.Critical Thinking:

1.1. Acquire the ability to apply the basic tenets of logic and science to thoughts, actions and interventions.
1.2. Develop the ability to chart out a progressive direction for actions and interventions bylearning to recognize the presence of hegemonic ideology within certain dominant notions.
1.3. Develop self-critical abilities and the ability to view positions, problems and socialissues from plural perspectives.

PO 2.Effective Citizenship:

2.1. Learn to participate in nation building by adhering to the principles of sovereignty of thenation, socialism, secularism, democracy and the values that guide a republic.
2.2. Develop and practice gender sensitive attitudes, environmental awareness, empathetic social awareness about various kinds of marginalisation and the ability to understand and resist various kinds of discriminations.
2.3. Internalise certain highlights of the nation’s and region’s history. Especially of the freedommovement, the renaissance within native societies and the project of modernisation of the postcolonialsociety.

PO 3.Effective Communication:

3.1. Acquire the ability to speak, write, read and listen clearly in person and through electronicmedia in both English and in one Modern Indian Language
3.2. Learn to articulate, analyse, synthesise, and evaluate ideas and situations in a well- informed manner.
3.3. Generate hypotheses and articulate assent or dissent by employing both reason and creativethinking.

PO 4.Interdisciplinarity:

4.1. Perceive knowledge as an organic, comprehensive, interrelated and integrated faculty of the human mind.
4.2. Understand the issues of environmental contexts and sustainable development as a basicinterdisciplinary concern of all disciplines.
4.3. Develop aesthetic, social, humanistic and artistic sensibilities for problem solving andevolving a comprehensive perspective.

1C01 MAT-PH: Mathematics for Physics I

CO 1: Understand the concept of Differentiation and successive differentiation.
CO 2: Understand Fundamental theorem – Rolle’s theorem, Lagrange’s mean-value theorem, Cauchy’s mean-value theorem,.
CO 3: Understand the Taylor’s theorem , expansions of functions – Maclaurin’s series, expansion by use of known seriesr
CO 4: Understand the Matrices and System of Equations, Linear Transformations
CO 5: Understand Rank of a matrix, elementary transformations, normal form of a matrix, inverse of a matrix, solution of linear system of equations.
CO 6: Understand Linear transformations, orthogonal transformation, vectors – linear dependence
CO 7: Understand Derivative of arc, curvature, Polar coordinates, Cylindrical and Spherical co-ordinate

2C02 MAT-PH: Mathematics for Physics II

CO 1: Understand partial derivatives, homogeneous functions, Euler’s theorem, total derivative, differentiation of implicit functions, change of variables
CO 2: Understand Integration and Integration by Successive Reduction , Integration of Trigonometric Functions
CO 3: Comprehend Applications of Integration
CO 4: Comprehend Eigen values, Eigen vectors, properties of Eigen values,
CO 5: Understand Cayley- Hamilton theorem, Diagonal form, similarity of matrices, powers of a matrix, canonical form, nature of a quadratic form

3C03 MAT-PH: Mathematics for Physics III

CO 1: Understand the concept of Multiple Integrals and solves problems
CO 2: Understand Vector Differentiation
CO 3: Understand Laplace Transforms and its Applications
CO 4: Understand Fourier Series and Half range expansions

4C04 MAT-PH: Mathematics for Physics IV

CO 1: Understand Wave Equation, Solution by Separating Variables, D-Alembert’s solution of the wave equation.Understand the basics of PN junction diode, Zener diode and their applications
CO 2: Understand Heat Equation and Solution by Fourier Series
CO 3: Understand Line integrals , path independence, conservative fields and potential functions, Green’s theorem in the plane
CO 4: Understand Surface area, surface integrals, Stoke’s theorem, Divergence theorem
CO 5: Understand Numerical Integration, Trapezoidal Rule, Simpson's 1/3-Rule
CO 6: Understand Numerical Solutions of Ordinary Differential Equations by Taylor's series, Euler's method, Modified Euler's method, Runge-Kutta methods.

1C01 MAT-CS: Mathematics for Computer Science I

CO 1: Understand Successive differentiation and Leibnitz’s theorem for the nth derivative of the product of two functions.
CO 2: Understand Fundamental theorem – Rolle’s theorem, Lagrange’s mean-value theorem and Cauchy’s mean value theorem.es.
CO 3: Understand Taylor’s theorem, expansions of functions – Maclaurin’s series, expansion by use of known series and Taylor’s series.
CO 4: Understand the method of finding limits of Indeterminate forms.
CO 5: Understand Polar, Cylindrical and Spherical co-ordinates.
CO 6: Understand Rank of a matrix, elementary transformation of a matrix, equivalent matrices, elementary matrices, Gauss-Jordan method of finding the inverse, normal form of a matrix and partition method of finding the inverse..
CO 7: Understand solution of linear system of equations – method of determinants – Cramer’s rule, matrix inversion method, consistency of linear system of equations, Rouche’s theorem, procedure to test the consistency of a system of equations in n unknowns, system of linear homogeneous equations.
CO 8: Understand Linear transformations, orthogonal transformation and linear dependence of vectors.
CO 9: Understand methods of curve fitting, graphical method, laws reducible to the linear law, principles of least squares, method of least squares and apply the principle of least squares to fit the straight line y = a+bx, to fit the parabola y=a+bx+cx2, to fit y = axb, y =aebx and xyn=b

2C02 MAT-CS: Mathematics for Computer Science II

CO 1: Understand Functions of two or more variables, limits and continuity.
CO 2: Understand partial derivatives, homogeneous functions, Euler’s theorem on homogeneous functions, total derivative, differentiation of implicit functions and change of variables.
CO 3: Understand Reduction formulae for trigonometric functions and evaluation of definite integrals , and
CO 4: Understand Substitutions and the area between curves, arc length, areas and length in polar coordinates.
CO 5: Understand Double and Iterated Integrals over rectangles, double integrals over general regions, area by double integration, double integrals in polar form and triple integrals in rectangular coordinates.
CO 6: Understand Eigen values, Eigen vectors, properties of Eigen values, Cayley- Hamilton theorem, reduction to diagonal form, similarity of matrices, powers of a matrix, reduction of quadratic form to canonical form and nature of a quadratic form

3C03 MAT-CS: Mathematics for Computer Science III

CO 1: Understand Ordinary differential equations, Geometrical meaning of y’=f (x, y) and Direction Fields.
CO 2: Understand Methods of solving Differential Equations: Separable ODEs, Exact ODEs, Integrating Factors, Linear ODEs and Bernoulli Equation.
CO 3: Understand Orthogonal Trajectories, Existence and Uniqueness of Solutions.
CO 4: Understand Second order ODEs, Homogeneous Linear ODEs of second order, Homogeneous Linear ODEs with constant coefficients, Differential Operators, Euler-Cauchy Equation, Existence and Uniqueness of Solutions – Wronskian, Non homogeneous ODEs and Solution by variation of Parameters
CO 5: Understand Laplace Transform, Linearity, first shifting theorem, Transforms of Derivatives and Integrals, ODEs, Unit step Function, second shifting theorem, Convolution, Integral Equations, Differentiation and integration of Transforms and to solve special linear ODE’s with variable coefficients and Systems of ODEs
CO 6: Understand Fourier series, arbitrary period, Even and Odd functions, Half-range Expansions.
CO 7: Understand Partial Differential Equations and to solve PDEs by separation of variables and by use of Fourier series.

4C04 MAT-CS: Mathematics for Computer Science IV

CO 1: Understand the concept of a graph, graphs as models, vertex degrees, sub graphs, paths and cycles, matrix representation of graphs, trees and connectivity – definition and simple properties.
CO 2: Understand Linear Programming Problems, their canonical and standard forms.
CO 3: Understand Methods to solve LPP : Graphical solution method and Simplex method
CO 4: Understand Transportation problems, transportation table, loops. Solve a Transportation Problem by finding an initial basic feasible solution and then by using the transportation algorithm known as MODI method.
CO 5: Understand Numerical Integration, Trapezoidal Rule, Simpson's 1/3- Rule
CO 6: Understand Numerical methods to find Solutions of Ordinary Differential Equations: Solution by Taylor's series, Euler's method, Modified Euler's method, Runge-Kutta methods.