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III Sem
Engineering Mathematics-III
UNIT 1
Analytic Functions
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Cauchy’s integral Theorem
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Cauchy-Riemann Equation
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Derivatives of Analytic Functions
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Evaluation of Real Integrals
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Harmonic Function
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Residue Theorem
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Singularities, Zeros And Poles
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Taylor & Laurent Series
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UNIT 2
Convolution Theorem
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Complex Fourier Transforms
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Solution of pde’s using integral transforms
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The z-Transform Engineering and its Applications
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Inverse Fourier Transform
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Fourier Integrals
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Fourier Transform
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UNIT 3
The Binomial, Poisson, and Normal Distributions
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Correlation
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Curve Fitting
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Fitting of straight lines, Polynomials and Exponential curve
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Kurtosis
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Measure of Skewness
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Method of Least Squares
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Moment Generating functions
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Moments
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Regression Analyses
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Tests of Significance: Chi-Square test and TTest
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UNIT 4
Finite Difference
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Lagrange InterpolationLagrange Interpolation
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Newton’s divided difference formula
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Newton’s Forward and Backward Interpolation
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Rate of convergence
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Zeroes of Transcendental and Polynomial Equations
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UNIT 5
Gauss-Siedel Method
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Jacobi Method
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Matrix Decomposition methods
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Numerical Differentiation Integration
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Simpson’s one third and three-eight rules
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Solution of ordinary differential equations
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Solution of linear system of equations
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Trapezoidal Rule
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