Transcription of MA 7121 METHODS OF APPLIED MATHEMATICS
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MA 7121 METHODS OF APPLIED MATHEMATICS
MA 7121 methods of applied mathematics L T P C 3 1 0 3 (Pre-requisite: ODE with computational METHODS ) Total hours: 56 Module I: (14 hours) Integral Transforms- The Fourier Integral as the Limit of a Fourier Series Fourier Integral Approximations and the Gibbs Phenomenon Properties of Fourier Transforms Applications of Fourier Integrals and Transforms From the Fourier Integral to the Laplace Transformation Finite Fourier Transforms Finite Fourier sine and cosine transforms Convolution theorem for finite Fourier transforms Multiple finite Fourier transforms Applications of finite Fourier transforms. Module II: (14 hours) Integral equations- Introduction Types of Integral Equations-Solution of Integral Equations- Relation between differential and integral equations Green s functions Fredholm equations with separable Kernels Iterative METHODS for the solution of Integral Equations of the second kind Resolvent Kernel - Hilbert Schmidt theory.
MA 7121 METHODS OF APPLIED MATHEMATICS L T P C 3 1 0 3 (Pre-requisite: ODE with computational Methods) Total hours: 56 Module I: (14 hours) Integral Transforms- The Fourier Integral as the Limit of a Fourier Series – Fourier Integral
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