## Tuesday, 25 December 2012

## Syllabus for Civil Engineering IInd year, Arybhatta Knowledge University ,Bihar

**ARYABHATTA KNOWLEDGE UNIVERSITY**

**A.N. Sinha Institute of Social Studies Campus (West),**

**North Gandhi Maidan,**

**(Near D.M. Residence)**

**Patna-800 001, Phone: +91612-2219106,**

**website: www.akubihar.ac.in**

**CIVIL ENGINEERING**

**SECOND YEAR**

**201 MATHEMATICS III**

**FIRST TERM:**

**1. Ordinary Differential Equations and some Special Function: Series solutions ordinary differential equations, Legendre and Bessel function and their properties.**

8 Lectures

2. Partial Differential Equations: Second order linear and quasi-linear partial differential equations, elliptic, parabolic and hyperbolic types, boundary and initial conditions solutions of Dirichlet and Neumann problems for Laplace equation and of heat conduction problems by Fourier method, DIA lembert solution of 1-D wave equation and solution of Cauchy problem. 8 Lectures

3. Functions of a Complex Variable: Review of complex numbers, formulae of Euler and Demoivre, analytic functions, Cauchy Riemann conductions elementary complex functions and analytic function in term of a power series, Laur series, residue theorem, contour integration. 8 Lectures

**SECOND TERM:**

**Probability and Statistics: Axiomatic definition of probability, laws of probabilities classical occupancy problem with illustrations, conditional, probability**

multiplication law, independence of events, Bayes rule, discrete and continuous random variables-cumulative distribution functions, probability mass function, probability density function, mathematical expectation, mean, variance, moment generating function and characteristic function, standard probability models-binomial, Poisson, exponential, Weibull, normal and long normal, sampling and sampling distribution –z, t, Chi-square and F, estimation of parameters, use of t, Chi-square and F in test significance. 24 Lectures

**BOOKS RECOMMENDED:**

**TEXT BOOKS:**

1. Advance Engineering Mathematics by E. Kreyszig, Wiley eastern Pvt. Ltd. (India)

**REFERENCE BOOKS:**

1.Advance Engineering Mathematics by C.R. Wysle

2.Mathematics of Physics and Modern Engineering by Sckolonikoff & Redhelfer

3.Advance Mathematics for Engineers and Physicists by L.A. Pipes