B.E. (MECHANICAL ENGINEERING) SECOND （B.E.(机械工程)）.pdfVIP

R.K.D.F. UNIVERSITY, BHOPAL B.E. (MECHANICAL ENGINEERING) SECOND YEAR Semester – III Course Content Grade Branch Subject Title Subject Code B.E. Common Engineering Mathematics-II B.E.- 301 Unit - I Second Order linear differential equation with variable coefficients: Methods one integral is known, removal of first derivative, changing of independent variable and variation of parameter, Solution by Series Method Unit - II Vector Calculus: Differentiation of vectors, scalar and vector point function, geometrical meaning of Gradient, unit normal vector and directional derivative, physical interpretation of divergence and Curl. Line integral, surface integral and volume integral, Green’s, Stoke’s and Gauss divergence theorem Unit - III Linear and Non Linear partial differential equation of first order: Formulation of partial differential equations, solution of equation by direct integration, Lagrange’s Linear equation, charpit’s method. Linear partial differential equation of second and higher order: Linear homogeneous and Non homogeneous partial diff. equation of nth order with constant coefficients. Separation of variable method for the solution of wave and heat equations Unit - IV Fourier series: Introduction of Fourier series, Fourier series for Discontinuous