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  • Function of Complex variable
    • Analytical Functions
    • Hurwitz Theorem
    • Complex Arithmetic
    • Topology of the Complex Plane
    • The Exponential Function
    • Polar Form of a Complex Number
    • Roots of Complex Numbers
    • Cauchy Integral Theorem
    • Cauchy Integral Formula for Derivatives
    • Fundamental Theorem of Algebra
    • Sequences of Holomorphic Functions and their Derivatives
    • Isolated Singularities
    • Laurent Series
    • Annulus of Convergence
    • Calculus of Residues
    • Evaluation of Definite Integrals
    • Complexification of the Integrand
    • Relation with Harmonic Functions
    • Taylor Series
    • Evaluation of Real Integrals by Contour Integration

  • Statistical Techniques - I
    • Concept of Moment
    • Moments about Origin in Term of Moments about any Point
    • Moment Generating Function
    • Skewness
    • Kurtosis
    • Random Variable
    • Curve Fitting
    • Problems on Curve Fitting
    • Polynomials Least-Squares Fitting
    • Fitting an Exponential Curve
    • Fitting a Curve of Different Types
    • Correlation
    • Methods of Determining Correlation
    • Rank Correlation
    • Regression
    • Probability Theory
    • Probability Thorem

  • Statistical Techniques - II
    • Binomial Distribution
    • Variance and Standard Deviation of Binomial Distribution
    • Constants of Binomial Distribution
    • Poisson Distribution
    • Normal Distribution
    • Sampling Theory
    • Test for the Difference of Two Sample Means
    • Chi-Square Test
    • Analysis of Variance
    • Techniques of One-way Analysis of Variance
    • Time Series and Forecasting
    • Measurement of Secular Trend
    • Statistical Quality Control Method
    • Control Charts for Variables
    • Control Charts for Attributes

  • Numerical Technique - I
    • Bisection Method
    • Regular Falsi Method
    • Newton Raphson Method
    • Convergence of Newton-Raphson Method
    • Rate of Convergence
    • Interpolation
    • Difference Operators
    • Newton Forward Interpolation
    • Newton Backward Interpolation
    • Lagranges Interpolation
    • Newtons Divided Difference Interpolation Formula
    • Problems on Interpolation Method

  • Numerical Technique - II
    • Solution of System of Linear Equations
    • Crout Method
    • Gauss-Seidel Method
    • Problems on Solving Linear System
    • Numerical Differentiation
    • Newtons Cotes Quadrature Formula
    • Simpsons 1/3 Rule
    • Simpson 3/8 Rule
    • Picard's Method
    • Euler's Method
    • Runge-Kutta Method
    • Problems on Numerical Technique - II

Branch : Civil Engineering | Subject : Maths-3
Numerical Technique - II
  • Solution of System of Linear Equations

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  • Crout Method

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  • Gauss-Seidel Method

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  • Problems on Solving Linear System

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  • Numerical Differentiation

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  • Newtons Cotes Quadrature Formula

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  • Simpsons 1/3 Rule

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  • Simpson 3/8 Rule

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  • Picard's Method

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  • Euler's Method

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  • Runge-Kutta Method

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  • Problems on Numerical Technique - II

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