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

**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.