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Dept of EEE, REC

 obtain the transient response of DC and AC Circuits
 realise series and parallel resonant circuits
 evaluate power in three phase AC circuits.

SEMESTER III

MA17351 TRANSFORMS AND PARTIAL DIFFERENTIAL L T P C
EQUATIONS 3 2 0 4

OBJECTIVES:
 To introduce Fourier series which is central to many applications in engineering apart from its use
in solving boundary value problems.
 To acquaint the student with Fourier transform techniques used in wide variety of situations.
 To introduce the effective mathematical tools for the solutions of partial differential equations
that model several physical processes and to develop Z transform techniques for discrete time
systems.

UNIT I PARTIAL DIFFERENTIAL EQUATIONS 15
Formation of partial differential equations – Singular integrals -- Solutions of standard types of first order
PDE: -Lagrange’s linear
equation - Linear partial differential equations of second and higher order with constant coefficients of
homogeneous type.

UNIT II FOURIER SERIES 15
Dirichlet’s conditions – General Fourier series – Odd and even functions – Half range sine series –Half
range cosine series – Parseval’s identity – Harmonic analysis.

UNIT III APPLICATIONS OF PARTIAL DIFFERENTIAL EQUATIONS 15
Classification of PDE – Solutions of one dimensional wave equation – One dimensional equation of heat
conduction – Steady state solution of two dimensional equation of heat conduction (excluding insulated
edges).

UNIT IV FOURIER TRANSFORMS 15
Statement of Fourier integral theorem – Fourier transform pair – Fourier sine and cosine transforms –
Properties – Transforms of simple functions – Convolution theorem – Parseval’sidentity - Application to
boundary value problems.

UNIT V Z - TRANSFORMS AND DIFFERENCE EQUATIONS 15
Z-transforms - Elementary properties – Inverse Z - transform (using partial fraction and residues) –
Convolution theorem - Formation of difference equations – Solution of difference equations using Z-
transform.

TOTAL : 75 PERIODS
OUTCOMES:
On completion of the course, the students will be able to
 develop skills to solve different types of partial differential equations
 develop skills to construct Fourier series for different periodic functions and to evaluate infinite
series.

Curriculum and Syllabus | B.E. Electrical and Electronics Engineering | R2017 Page 33