## MA8353 TPDE Syllabus

Anna University Regulation 2017 EIE MA8353 TPDE Syllabus for all 5 units are provided below. Download link for EIE 3rd Sem MA8353 TRANSFORMS AND PARTIAL DIFFERENTIAL EQUATIONS Engineering Syllabus is listed down for students to make perfect utilization and score maximum marks with our study materials.

### Anna University Regulation 2017 EIE Engineering (EIE) 3rd Sem MA8353 TRANSFORMS AND PARTIAL DIFFERENTIAL EQUATIONS Engineering Syllabus

MA8353 TRANSFORMS AND PARTIAL DIFFERENTIAL EQUATIONS
OBJECTIVES :

 To introduce the basic concepts of PDE for solving standard partial diferential equations.  To introduce Fourier series analysis which is central to many aplications in enginering apart
from its use in solving boundary value problems.  To acquaint he student with Fourier series techniques in solving heat flow problems used in
various situations.  To acquaint he student with Fourier transform techniques used in wide variety of situations.  To introduce the efective mathematical tols for the solutions of partial diferential equations
that model several physical proceses and to develop Z transform techniques for discrete time
systems.
UNIT I PARTIAL DIFFERENTIAL EQUATIONS
Formation of partial diferential equations – Singular integrals – Solutions of standard types of first
order partial diferential equations – Lagrange’s linear equation – Linear partial diferential equations of
second and higher order with constant coeficients of both homogeneous and non-homogeneous
types.
UNIT II FOURIER SERIES
Dirchlet’s conditons – General Fourier series – Od and even functions – Half range sine series – Half range cosine series – Complex form of Fourier series – Parseval’s identiy – Harmonic analysis.

UNIT III APPLICATIONS OF PARTIAL DIFFERENTIAL EQUATIONS
Clasifcation of PDE – Method of separation of variables – Fourier Series Solutions of one
dimensional wave equation – One dimensional equation of heat conduction – Steady state solution of
two dimensional equation of heat conduction.
UNIT IV FOURIER TRANSFORMS
Statement of Fourier integral theorem – Fourier transform pair – Fourier sine and
cosine transforms – Properties – Transforms of simple functions – Convolution theorem – Parseval’s
identiy.
UNIT V Z – TRANSFORMS AND DIFFERENCE EQUATIONS
Z-transforms – Elementary properties – Inverse Z-transform (using partial fraction and residues) –
Inital and final value theorems – Convolution theorem – Formation of diference equations – Solution
of diference equations using Z – transform.

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MA8353 TPDE Syllabus

Anna University 3rd Sem EIE TPDE Syllabus