#1
13th May 2015, 03:20 PM
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TPDE Anna University Syllabus
I am looking for Syllabus of TPDE (Transforms and Partial Differential Equations) at Anna University so please provide me the same?
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#2
14th May 2015, 07:58 AM
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Re: TPDE Anna University Syllabus
Here I am providing you Syllabus of TPDE (Transforms and Partial Differential Equations) at Anna University. Syllabus of TPDE at Anna University: 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. |