Electrical4thSem-SiddhiCollege.com.doc

Electrical 3rd Sem MATH-201 E MATHEMATICS - III L T P Theory : 100 Marks 3 1 - Sessional : 50 Marks Total : 150 Marks Duration of Exam: 3 Hrs. UNIT – I Fourier Series : Euler’s Formulae, Conditions for Fourier expansions, Fourier expansion of functions having points of discontinuity, change of interval, Odd even functions, Half-range series. Fourier Transforms : Fourier integrals, Fourier transforms, Fourier cosine and sine transforms. Properties of Fourier transforms, Convolution theorem, Perseval’s identity, Relation between Fourier and Laplace transforms, Fourier transforms of the derivatives of a function, Application to boundary value problems. UNIT-II Functions of a Complex Variables : Functions of a complex variable, Exponential function, Trigonometric, Hyperbolic and Logarithmic functions, limit and continuity of a function, Differentiability and analyticity. Cauchy-Riemann equations, Necessary and sufficient conditions for a function to be analytic, Polar form of the Cauchy-Riemann equations, Harmonic functions, Application to flow problems, Conformal transformation, Standard transformations (Translation, Magnification rotation, inversion reflection, Bilinear). UNIT-III Probability Distributions : Probability, Baye’s theorem, Discrete Continuous probability distributions, Moment generating function, Probability generating function, Properties and applications of Binomial, Poisson and normal distributions. UNIT-IV Linear Programming : Linear programming problems formulation, Solution of Linear Programming Problem using Graphical method, Simplex Method, Dual-Simplex Method. Text Book 1. Higher Engg. Mathematics : B.S. Grewal 2. Advanced Engg. Mathematics : E. Kreyzig Reference Book 1. Complex variables and Applications : R.V. Churchil; Mc. Graw Hill 2. Engg. Mathematics Vol. II: S.S. Sastry; Prentice Hall of India. 3. Operation Research : H.A. Taha 4. Probability and statistics for Engineer : Johnson. PHI. Note : Examiner will set eight question, taking