MA6351 Transforms and Partial Differential Equations Syllabus for Anna University

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 - Lagranges 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                                                                                                
Dirichlets 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 – Parsevals 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 . 

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