Anna University Syllabus
Anna University 3rd Semester Syllabus for EEE / ECE / CSE / IT / MECH , Anna university M3 Syllabus , Syllabus for mathematics 3 .Anna University 5th Sem Syllabus for EEE
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MA6351 TRANSFORMS AND
PARTIAL
DIFFERENTIAL EQUATIONS
UNIT I PARTIAL
DIFFERENTIAL EQUATIONS
Formation of partial differential equations – Singular integrals -- Solutions of standard types
of
first order partial
differential equations -
Lagrange’s linear
equation -- Linear
partial differential
equations of second and higher
order with constant coefficients of both homogeneous and non-homogeneous
types.
UNIT II 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 identity – Harmonic analysis.
UNIT III
APPLICATIONS
OF PARTIAL
DIFFERENTIAL EQUATIONS
Classification of PDE – Method of separation of variables - 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
Statement of Fourier integral theorem –
Fourier transform pair – Fourier sine and cosine transforms – Properties – Transforms of simple functions – Convolution theorem – Parseval’s identity.
UNIT V Z - TRANSFORMS
AND
DIFFERENCE EQUATIONS
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.
Anna university nov/dec exams syllabus, anna university syllabus for nov/dec 2015 exams .