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Z-transforms - Elementary properties вЂ“ Inverse Z-transform вЂ“ Convolution theorem - Formation of difference equations вЂ“ Solution of difference equations using Z-transform.ДЎ. UNIT V Z -TRANSFORMS AND DIFFERENCE EQUATIONS 9 + 3

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Solutions of one dimensional wave equation вЂ“ One dimensional equation of heat conduction вЂ“ Steady state solution of two-dimensional equation of heat conduction (Insulated edges excluded) вЂ“ Fourier series solutions in cartesian coordinates. UNIT IV APPLICATIONS OF PARTIAL DIFFERENTIAL EQUATIONS 9 + 3 UNIT III PARTIAL DIFFERENTIAL EQUATIONS 9 +3ДЇormation of partial differential equations вЂ“ LagrangeвЂ™s linear equation вЂ“ Solutions of standard types of first order partial differential equations - Linear partial differential equations of second and higher order with constant coefficients. The course will also serve as a prerequisite for post graduate and specialized studies and research.ДirichletвЂ™s conditions вЂ“ General Fourier series вЂ“ Odd and even functions вЂ“ Half range sine series вЂ“ Half range cosine series вЂ“ Complex form of Fourier Series вЂ“ ParsevalвЂ™s identify вЂ“ Harmonic Analysis.ДЇourier integral theorem (without proof) вЂ“ Fourier transform pair вЂ“ Sine andД¬osine transforms вЂ“ Properties вЂ“ Transforms of simple functions вЂ“ Convolution theorem This will be necessary for their effective studies in a large number of engineering subjects like heat conduction, communication systems, electro-optics and electromagnetic theory. The course objective is to develop the skills of the students in the areas of Transforms and Partial Differtial Equations. MA 2211 TRANSFORMS AND PARTIAL DIFFERENTIAL EQUATION 3 1 0 4 (Common to all branches) ME 2257 Computer Aided Machine Drawing Laboratory 0 0 4 2 ME 2256 Strength of Materials Lab 0 0 3 2 ME 2258 Manufacturing Technology Lab вЂ“ II 0 0 3 2 ME 2255 Electronics and Microprocessor 3 0 0 3 ME 2253 Engineering Materials & Metallurgy 3 0 0 3 ME 2252 Manufacturing Technology вЂ“ II 3 0 0 3 MA 2266 Statistics and Numerical Methods 3 1 0 4 ME 2209 Electrical Engineering Laboratory 0 0 3 2 ME 2208 Fluid Mechanics and Machinery Laboratory 0 0 3 2 ME 2207 Manufacturing Technology Lab вЂ“ I 0 0 3 2 ME 2205 Electrical Drives and Control 3 0 0 3 ME 2204 Fluid Mechanics and Machinery 3 1 0 4 ME 2202 Engineering Thermodynamics 3 1 0 4 ME 2201 Manufacturing Technology вЂ“ I 3 0 0 3 MA 2211 Transforms And Partial Differential Equation 3 1 0 4 (Applicable to the students admitted from the Academic year 2008 вЂ“ 2009 onwards) ANNA UNIVERSITY CHENNAI:: CHENNAI 600 025