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Department | Electrical and Electronics Engineering |

Year | 2nd year |

Semester | 3rd Semester |

University | Anna University |

Regulation | R2017 |

Subject Code | MA8353 |

Subject Name | TRANSFORMS AND PARTIAL DIFFERENTIAL EQUATIONS |

Download File | MA8353 TRANSFORMS AND PARTIAL DIFFERENTIAL EQUATIONS Lecture Notes, Books, Important 2 Marks Question and Answers, 16 Mark Question with Answers, Syllabus & Question Bank |

## MA8353 TRANSFORMS AND PARTIAL DIFFERENTIAL EQUATIONS Syllabus

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 – 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

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) – Initial and final value theorems – Convolution theorem – Formation of difference equations – Solution of difference equations using Z – transform.

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MA8353 TRANSFORMS AND PARTIAL DIFFERENTIAL EQUATIONS Notes ( UNIT 1 – UNIT 5) – Download

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