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III Sem
Engineering Mathematics-III
Unit 1
Analytic Functions
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9 KB
Derivatives of Analytic Functions
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Cauchy-Riemann Equation
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Cauchy’s Integral Theorem and FormulaFormula
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Evaluation of Real Integrals
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Singularities, Zeros And PolesAnd Poles
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Harmonic Function
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Taylor & Laurent series
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Residue Theorem
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Unit 2
Solution of pde’s using integral transforms
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Complex Fourier Transforms
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Convolution Theorem
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Fourier Integral
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Fourier transform
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Inverse Fourier Transform
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z- Transform Engineering and its Applications
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Unit 3
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
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The Binomial, Poisson, and Normal Distributionsand Distributions
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Unit 4
Finite Difference
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Lagrange Interpolation
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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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Newton’s divided difference formula
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Unit 5
Gauss-Seidel 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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