**Anna University MA6351**

**Transform and Partial Differential Equations**

**(M3) Notes Syllabus 2 marks with answers Part A Question Bank with answers- Common for all Departments**

Anna University MA6351 Transform and Partial Differential Equations Syllabus Notes 2 marks with answer is provided below. MA6351 Notes Syllabus all 5 units notes
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**Transform and Partial Differential Equations Study Materials .**

**MA6351 TRANSFORMS AND PARTIAL DIFFERENTIAL EQUATIONS SYLLABUS REGULATION 2013****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.

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MA6351 Transform and Partial Differential Equations Anna university 3rd semester Regulation 2013 notes

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