IT Syllabus Kerala University

Can you provide me the syllabus of B. Tech Degree Course in IT or Information Technology offered by University of Kerala as my exams are near by and I need it for preparation?

[Shaleen]

The syllabus of B. Tech Degree Course in IT or Information Technology offered by University of Kerala is as follows:

08.101 ENGINEERING MATHEMATICS- I

MODULE- 1
Applications of differentiation:– Definition of Hyperbolic functions and their derivatives Successive differentiation- Leibnitz’ Theorem(without proof)- Curvature- Radius of curvature- centre of curvature- Evolute ( Cartesian ,polar and parametric forms)
Partial differentiation and applications:- Partial derivatives- Euler’s theorem on homogeneous functions- Total derivatives- Jacobians- Errors and approximations- Taylor’s series (one and two variables) - Maxima and minima of functions of two variables - Lagrange’s method- Leibnitz rule on differentiation under integral sign. Vector differentiation and applications :- Scalar and vector functions- differentiation of vector functions-Velocity and acceleration- Scalar and vector fields- Operator – Gradient Physical interpretation of gradient- Directional derivative- Divergence- Curl- Identities involving (no proof) - Irrotational and solenoidal fields – Scalar potential.

MODULE-II
Laplace transforms:- Transforms of elementary functions - shifting property- Inverse transforms- Transforms of derivatives and integrals- Transform functions multiplied by t and divided by t - Convolution theorem(without proof)-Transforms of unit step function, unit impulse function and periodic functions-second shifiting theorem- Solution of ordinary differential equations with constant coefficients using Laplace transforms. Differential Equations and Applications:- Linear differential eqations with constant coefficients- Method of variation of parameters - Cauchy and Legendre equations – Simultaneous linear equations with constant coefficients- Application to orthogonal trajectories (cartisian form only).

MODULE-III
Matrices:-Rank of a matrix- Elementary transformations- Equivalent matrices- Inverse of a matrix by gauss-Jordan method- Echelon form and normal form- Linear dependence and independence of vectors- Consistency- Solution of a system linear equations-Non homogeneous and homogeneous equations- Eigen values and eigen vectors – Properties of eigen values and eigen vectors- Cayley Hamilton theorem(no proof)- Diagonalisation Quadratic forms- Reduction to canonical forms-Nature of quadratic forms Definiteness, rank, signature and index