B.Tech + MBA Tech.integrated program course

This program focuses on technology and specially in this program they focus on B.Tech & MBA in technology

Program Content:

** Computer Sci. & Engg.,
** Electronic & Com. Engg.
** IT
** Electrical Engg.
** Biotech.
** Civil Engg.
** Mechanical Engg.
** Agricultural Engg.

DEPARTMENT OF METALLURGICAL ENGINEERING

MATHEMATICS-III

(Common with Mechanical Engineering)

Vector calculus. Differentiation of vectors, curves in space, Velocity and acceleration, Relative velocity and acceleration, Scalar and Vector point functions – Vector operation del. Del applied to scalar point functions – Gradient, Del applied to vector point functions – Divergence and Curl. Physical interpretation of div F curl. F del applied twice to point functions, Del applied twice to point functions, Integration of vectors, Line integral- Circulation – Work surface integral – Flux, Green’s theorem in the plane, Stoke’s theorem, Orthogonal curvilinear co-ordinates Del applied to functions in orthogonal curvilinear co-ordinates, Cylindrical coordinates – spherical polar co-ordinates.

Partial differential equations. Formation of partial differential equations, Solutions of a partial differential equation, Equations Solvable by direct integration. Linear equations of the first order, Homogenous linear equations with constant coefficients, Rules for finding the complementary function, Rules for finding the particular integral, working procedure to solve homogenous linear equations of any order. Non-homogeneous linear equations.

Applications of Partial Differential equations. Introduction, Methods of separation of variables, partial differential equations of Engineering, Vibration of a stretched stirring-wave equation, One-dimensional heat flow, Two dimensional heat flow, Solution of Laplace’s equation, Laplace’s equation in polar co-ordinates .

Integral Transforms. Introduction, Definition, Fourier integrals-Fourier sine and cosine integrals-complex forms of Fourier integral, Fourier transform-Fourier sine and cosine transforms – finite Fourier sine and cosine transforms, Properties of F-transforms, Convolutions theorem for properties F-Transforms, Paraseval’s identity for F-transforms, Relation between Fourier and Laplace transforms, Fourier transforms of the derivatives of a function, Inverse Laplace transforms by method of residuals, Application of transforms to boundary value problems.