MA3351 Transforms and Partial Differential Equations Notes
Download MA3351 Transforms and Partial Differential Equations Books, Lecture Notes, Part-A 2 marks with answers, Part-B 16 marks Questions, PDF Books. In this Notes Very Useful for Second Year Third Semester Students.
“MA3351 Transforms and Partial Differential Equations Books”
“MA3351 Transforms and Partial Differential Equations Lecture Notes”
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“MA3351 Transforms and Partial Differential Equations Notes”
Subject Info:
| Semester | Third Semester |
| Department | Civil |
| Year | Second Year |
| Regulation | R 2021 |
| Subject Code / Name | MA3351 Transforms and Partial Differential Equations |
| Content | Local Authors Books, Lecture Notes |
Syllabus:
MA3351 Transforms and Partial Differential Equations
UNIT I PARTIAL DIFFERENTIAL EQUATIONS
Formation of partial differential equations –Solutions of standard types of first order partial differential equations – First order partial differential equations reducible to standard types- 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 and cosine series – Root mean square value – Parseval’s identity – Harmonic analysis.
UNIT III APPLICATIONS OF PARTIAL DIFFERENTIAL EQUATIONS
Classification of PDE – Method of separation of variables – Fourier series solutions of one dimensional wave equation – One dimensional equation of heat conduction – Steady state solution of two dimensional equation of heat conduction (Cartesian coordinates only).
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 – Convergence of Z-transforms – – Initial and final value theorems – Inverse Z-transform using partial fraction and convolution theorem – Formation of difference equations – Solution of difference equations using Z – transforms.