Friday, 27 December 2019
Engineering Mathematics-III
Welcome to Mathematics
World
Dr. Sonendra Gupta
Engineering Mathematics-III
Note: This is a copyright study material do not use it on any website or regenerate it by your name but you can share it.
Note: This is a copyright study material do not use it on any website or regenerate it by your name but you can share it.
Module-1
Topics
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E-notes
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Video Link
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Method-1: Bisection method
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Method–2: Regula Falsi
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Method–3: Secant Method
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Method–4: Fixed Point
iteration
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Method–5: Newton Raphson
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Method–6: Graffe’s
Method
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Download
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Method–7: Lin-Bairstow’s
Method
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Download
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Video Lecture Link
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Finite Difference operators [
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Missing terms Technique or Newton’s Binomial Expansion
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Method–1: Gauss’s Forward central difference formula
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Method-2
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Method–3: Stirling’s central difference formula
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Method–4: Bessel’s central difference formula
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Divided difference operator and Newton’s divided difference interpolation formula
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Lagrange’s interpolation formula
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Module-2
Topics
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E-notes
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Video Link
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Derivative for Equal difference
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Derivative using
Forward difference formula
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Derivative using
Backward difference formula
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Derivative using
Stirling’s Formula
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Derivative using
Bessel’s formula
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Download
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Derivative using unequal difference formula
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Download
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Derivative using Newton divided difference
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Derivative using Lagrange interpolation
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Quadrature formula
or Newton - Cotes’s formula
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Method–1: Trapezoidal
Rule,
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Method–1: Gauss’s Elimination
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Method–2
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Method–3: Crout’s methods
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Method–4
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Download
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Method–5:
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Download
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Method–1: Jacobi’s iteration
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Method–2: Gauss-Seidal iteration
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Method–3: Relaxation method
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Download
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Method–4:
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Download
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Method–5
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Download
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Method–6
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Download
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Module-3
Topics
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E-notes
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Video Link
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Method–1: Taylor’s series
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Method–2: Picard’s method
of successive approximations
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Method–3: Euler method
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Method–4: Euler’s Modified methods
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Method–5: First
order RungeKutta method
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Method–6: Second
order Runge Kutta method
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Method–7: Forth
order Runge Kutta method
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Method–8: Milne’s
Predictor Corrector Method
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Method–9: Adam’s predictor-corrector methods
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Finite difference solution
two dimensional Laplace equation
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Finite difference solution
two dimensional Poisson equation
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Implicit and explicit
methods for one-dimensional heat equation by Bender-Schmidt
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Implicit and explicit
methods for one-dimensional heat equation by Crank-Nicholson methods
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Finite difference explicit
method for wave equation
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Module-4
Topics
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E-notes
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Video Link
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Laplace Transform-Introduction of Laplace Transform
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Laplace Transform-Problems on Elementary results
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Laplace Transform- First and Second Shifting theorem
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Laplace Transform- Unit Step function and Change of Scale Property
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Laplace Transform-Derivative and Integral property
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Laplace Transform-Multiplication by t^n and Division by t property
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Laplace Transform-Laplace Transform of Periodic function with Period T
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Laplace Transform- Laplace Transform of Dirac Delta function
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Inverse Laplace Transform-Elementary Results and Problems
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Inverse Laplace Transform-Partial Fractions
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Inverse Laplace Transform-First Shifting theorem
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Inverse Laplace Transform- Second Shifting and Change of Scale Property
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Inverse Laplace Transform-Differentiation Property and Special condition
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Inverse Laplace Transform -Multiplication by p and Division by p
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Inverse Laplace Transform by Convolution theorem
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Application of Laplace Transform-Solution of Differential Equations
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Download
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Introduction of Fourier Transform
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Problems on Fourier Transform
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Fourier Transform- Fourier Sine and Cosine
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Fourier Transform- Properties of Fourier Transform
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Fourier Transform- Fourier Transform of Signal functions
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Fourier Transform- Fourier Transform of Signal functions
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Module-5
Topics
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E-notes
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Video Link
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Probability
Distribution function (PDF) or
Probability Mass function (PMF) and CDF,
Expected values, Mean, Variance and Standard deviation, Moments of DRV
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Mean, Variance, Standard deviation of Binomial Distribution and Problems
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Problems on Poisson Distribution
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Hypothesis of Normal Distribution, Definition of Normal Distribution, Expected Frequency or Theoretical Frequency, Mean of Normal Distribution, Variance of Normal Distribution, Standard deviation of Normal Distribution, Mean deviation about mean of Normal Distribution, Median of Normal Distribution, Point of
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Properties of Normal Curve, Application of Normal Curve, Method to find the probability when the limit of SNV (z) is given, Normal Distribution table and Problems
| Download | Video Lecture Link-1 |
Constraints of Exponential Distribution
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Download
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Mean of Exponential Distribution
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Download
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Variance of Exponential Distribution
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Download
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Standard deviation of Exponential Distribution
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Download
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Mode of Exponential
Distribution
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Median of Exponential Distribution
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