# NIT Trichy Chemical Engineering Syllabus Mathematics III

DIFFERENTIAL EQUATIONS

B.Tech. Chem. Engg. Syllabus for 2007 – 2008 onwards.

MA201 MATHEMATICS III

MA201 TRANSFORMS, SPECIAL FUNCTIONS AND PARTIAL

Laplace Transform of Standard functions, derivatives and integrals – Inverse Laplace transform –Convolution theorem-Periodic functions – Application to ordinary differential equation and simultaneous equations with constant coefficients and integral equations.

* Z-transforms – inverse Z-transforms – Solution of difference equation with constant coefficients using Z-transforms-Fourier Series – Dirichlet’s conditions-Half range Fourier cosine and sine series – Parseval’s relation.*

**Bessel’s Equation** – Bessel Functions – Recurrence relations-Generating function for Bessel functions – Legendre’s equation – Legendre polynomials-Rodrigue’s formulagenerating function and recurrence relations for Legendre polynomials – orthogonality with constant coefficients.

Applications of Partial Differential Equations – Solution of one-dimensional heat flow equation and two dimensional heat flow equation (Cartesian and Polar form) in

steady state by the method of separation of variables using Fourier series.

*References.
*

*1. GREWAL, B.S. , Higher Engineering Mathematics, Khanna Publishers.
2. SNEDDON, I. N., Elements of Partial Differential Equations, McGraw Hill.
3. VENKATARAMAN, M. K., Engineering Mathematics, Vol. III, National Publishing Company.
4. VENKATARAMAN, M. K., Higher Mathematics for Engineering and Science, National Publishing Company.*