**MA8353 Syllabus Transforms and Partial Differential Equations**

MA8353 Syllabus Transforms and Partial Differential Equations Regulation 2017 Anna University free download. Transforms and Partial Differential Equations Syllabus MA8353 pdf free download.

**UNIT I PARTIAL DIFFERENTIAL EQUATIONS MA8353 Syllabus Transforms and 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 MA8353 Syllabus Transforms and Partial Differential Equations**

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 MA8353 Syllabus Transforms and 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.

**UNIT IV FOURIER TRANSFORMS MA8353 Transforms and Partial Differential Equations Syllabus**

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 MA8353 Transforms and Partial Differential Equations Syllabus**

Z-transforms – Elementary properties – Inverse Z-transform (using partial fraction and residues) – Initial and final value theorems – Convolution theorem – Formation of difference equations – Solution of difference equations using Z – transform.

Subject name | Transforms and Partial Differential Equations |

Semester | 3 |

Subject Code | MA8353 |

Regulation | 2017 regulation |

MA8353 Syllabus Transforms and Partial Differential Equations **Click here to download**

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