Mathematics \u2013 II Detailed Syllabus for B.Tech second sem is covered here. This gives the details about credits, number of hours and other details along with reference books for the course.<\/p>\n
The detailed syllabus for Mathematics \u2013 II B.Tech 2016-2017 (R13) secondsem is as follows<\/p>\n
OBJECTIVES:<\/strong><\/p>\n UNIT I VECTOR CALCULUS \u00a0 \u00a0 (9+3 hours)\u00a0<\/strong> UNIT II ORDINARY DIFFERENTIAL EQUATIONS\u00a0\u00a0 \u00a0\u00a0 (9+3 hours)\u00a0<\/strong> UNIT III LAPLACE TRANSFORM \u00a0 \u00a0 (9+3 hours)\u00a0<\/strong>\n
\nGradient, divergence and curl \u2013 Directional derivative \u2013 Irrotational and solenoidal vector fields \u2013 Vector integration \u2013 Green\u201fs theorem in a plane, Gauss divergence theorem and Stokes\u201f theorem (excluding proofs) \u2013 Simple applications involving cubes and rectangular parallelopipeds.<\/p>\n
\nHigher order linear differential equations with constant coefficients \u2013 Method of variation of parameters \u2013 Cauchy\u201fs and Legendre\u201fs linear equations \u2013 Simultaneous first order linear equations with constant coefficients.<\/p>\n
\nLaplace transform \u2013 Sufficient condition for existence \u2013 Transform of elementary functions \u2013 Basic properties \u2013 Transforms of derivatives and integrals of functions – Derivatives and integrals of transforms – Transforms of unit step function and impulse functions \u2013 Transform of periodic functions. Inverse Laplace transform -Statement of Convolution theorem \u2013 Initial and final value theorems \u2013 Solution of linear ODE of second order with constant coefficients using Laplace transformation techniques.<\/p>\n