Anna University second year 3rd Semester - Mathematics 3 MA2211 or Transforms and Partial Differential Equations

Syllabus for MA2211

Unit 1

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


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Unit 2

Fourier Transforms

Fourier Integral Theorem(without proof),Fourier Transform Pair,Sine and Cosine transforms,Properties,Transforms of simple functions,Convolution theorem,Parseval's identity

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Unit 3

Partial Differential Equations.

Formation of partial differential Equations,Lagrange's linear equation,Solutions of standard types of first order partial differential equations-Linear partial differential equations of second and higher order with constant coefficients

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Unit 4

Applications of Partial Differential Equations

Solutions of one dimensional wave equation,One dimensional equation of heat conduction-Steady state solution of two dimensional equation of heat conduction(insulated edges excluded),Fourier series solutions in cartesian coordinates

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Unit 5

Z - Transforms and Difference Equations

Z-Transforms-Elementary properties,Inverse Z-transform,Convolution theorem,Formation of difference equations,Solution of difference equations using z-transform

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