# Syllabus of B.E - ECE, Auto, Mech, EEE third semester TPDE, Anna University Madurai

This is the syllabus of Anna university Madurai BE-ECE, Mech, Automobile and EEE third semester Transforms and partial differential equation (10177MA301). This syllabus comes under regulation 2010 of Anna University Madurai. Also you can find the text book and reference book details here.

Subject : TRANSFORMS AND PARTIAL DIFFERENTIAL EQUATIONS
Subject code : 10177MA301

UNIT I FOURIER SERIES
Dirichlet's conditions – General Fourier series – Odd and even functions – Half range sine series – Half range cosine series – Complex form of Fourier Series – Parseval's identify – Harmonic Analysis.

UNIT II FOURIER TRANSFORMS
Fourier integral theorem (without proof) – Cosine transforms – Properties – Transforms of – Parseval's identity - Fourier transform pair – Sine and
simple functions – Convolution theorem.

UNIT III PARTIAL DIFFERENTIAL EQUATIONS
Formation of partial differential equations – Lagrange's linear equation – Solutions of standard types of first order partial differential equations - Linear partial differential equations of second and higher order with constant coefficients.

UNIT IV APPLICATIONS OF PARTIAL DIFFERENTIAL EQUATIONS
Solutions of one dimensional wave equation – One dimensional equation of heat conduction – Steady state solution of two-dimensional equation of heat conduction (Insulated edges excluded) – Fourier series solutions in cartesian coordinates.

UNIT V Z -TRANSFORMS AND DIFFERENCE EQUATIONS
Z-transforms - Elementary properties – Inverse Z-transform – Convolution theorem - Formation of difference equations – Solution of difference equations using Z-transform.

## Text book for TPDE(Transforms and partial differential equation)

Grewal B.S, 'Higher Engineering Mathematics' 40 th Edition, Khanna publishers, Delhi, (2007)

## Reference book for TPDE(Transforms and partial differential equation)

1. Bali.N.P and Manish Goyal 'A Textbook of Engineering Mathematics', Seventh Edition, Laxmi Publications(P) Ltd. (2007)
2. Ramana.B.V. 'Higher Engineering Mathematics' Tata Mc-GrawHill Publishing Company limited, New Delhi (2007).
3. Glyn James, 'Advanced Modern Engineering Mathematics', Third edition-Pearson Education
(2007).
4. Erwin Kreyszig 'Advanced Engineering Mathematics', Eighth edition-Wiley India (2007).