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Engineering Mathematics - III
UNIT 1
Analytic Functions
PDF : 9654 KB
Cauchy Integral Theorem and Formula
PDF : 5991 KB
Cauchy - Riemann Equation
PDF : 9654 KB
Derivative of Analytic Function
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Evaluation of Real Integrals
PDF : 9654 KB
Harmonic Function
PDF : 5991 KB
Residue Theorem
PDF : 9654 KB
Singularities, Zeros And Poles
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Taylor and Laurent Series
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UNIT 2
Application of Fourier transform
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Complex Fourier transform
PDF : 5991 KB
Convolution Theorem
PDF : 9654 KB
Fourier Transform (sine and cosine)
PDF : 5991 KB
Fourier Integrals
PDF : 9654 KB
Inverse Fourier Transform
PDF : 5991 KB
Z-transform and its applications
PDF : 9654 KB
UNIT 3
Correlation
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Curve Fitting
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Fitting of straight lines, Polynomials and Exponential
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Kurtosis
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Measures 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 Analysis
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Test of Significance
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The Binomial, Poisson, and Normal Distributions
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UNIT 4
Finite Differences
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Lagrange Formula for Unequal Intervals
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Newton Divided Difference Formula (for unequal intervals
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Newton 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 - 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 One Third and Three-Eight Rules
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Solution of Ordinary Differential Equations
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Solution of System of Linear Equations
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Trapazoidal Rule
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