Welcome to the 2nd semester syllabus for the Civil Engineering branch at Bihar Engineering University. This semester builds upon the foundation laid in the first semester and introduces new engineering concepts.
Paper Code | Paper Title | L | T | P | Credits |
---|---|---|---|---|---|
100203 | Chemistry | 3 | 1 | 3 | 5.5 |
101202 | Mathematics –II (Differential Equations) | 3 | 1 | 0 | 4 |
100204 | Programming for Problem Solving | 3 | 0 | 4 | 5 |
100205 | Workshop Manufacturing Practices | 1 | 0 | 4 | 3 |
100206 | English | 2 | 0 | 2 | 3 |
Exact, linear and Bernoulli's equations, Euler's equations, Equations not of first degree: equations solvable for p, equations solvable for y, equations solvable for x and Clairaut's type.
Second order linear differential equations with variable coefficients, method of variation of parameters, Cauchy-Euler equation; Power series solutions; Legendre polynomials, Bessel functions of the first kind and their properties.
First order partial differential equations, solutions of first order linear and non-linear PDEs.
Solution to homogenous and non-homogenous linear partial differential equations second and higher order by complimentary function and particular integral method. Flows, vibrations and diffusions, Second-order linear equations and their classification, Initial and boundary conditions (with an informal description of well-posed problems), D'Alembert's solution of the wave equation; Duhamel's principle for one dimensional wave equation. Separation of variables method to simple problems in Cartesian coordinates. The Laplacian in plane, cylindrical and spherical polar coordinates, solutions with Bessel functions and Legendre functions. One dimensional diffusion equation and its solution by separation of variables.
(Only if time is available, otherwise should be done as part of the lab)
(This unit involves interactive practice sessions in Language Lab)