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Anna Transform Techniques and Partial Differential Equations Sem-III
No Units Titles Sub Titles Chapters
1 Unit 1 Partial differential equations Formation - Solutions of first order equations - Standard types and Equations reducible to standard types - Singular solutions - Lagrange's Linear equation - Integral surface passing through a given curve - Classification of Partial Differential Equations - Solution of linear equations of higher order with constant coefficients - Linear non-homogeneous PDE VIEW CHAPTERS
2 Unit 2 Fourier series Dirichlet's conditions - General Fourier series - Odd and even functions - Half-range Sine and Cosine series - Complex form of Fourier series - Parseval's identity - Harmonic Analysis VIEW CHAPTERS
3 Unit 3 Applications of partial differential equations Method of separation of Variables - Solutions of one dimensional wave equation and onedimensional heat equation - Steady state solution of two-dimensional heat equation - Fourier series solutions in Cartesian coordinates VIEW CHAPTERS
4 Unit 4 Fourier transform Fourier integral theorem - Fourier transform pair-Sine and Cosine transforms - Properties - Transform of elementary functions - Convolution theorem - Parseval's identity VIEW CHAPTERS
5 Unit 5 Z-transform and difference equations Z-transform - Elementary properties - Inverse Z-transform - Convolution theorem - Initial and Final value theorems - Formation of difference equation - Solution of difference equation using Z-transform VIEW CHAPTERS
 
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