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ENGG MATHEMATICS







  • Double Integrals
  •       Solved Problems On Double Integrals
  • Chang Of Order Of Integration
  •       Solved Problems On Change Of Order
  • Double Integrals In Polar Coordinates
  • Chang Of Variable in Double Integrals
  • Triple Integrals
  •       Solved Problems On Triple Integrals
  • Chang Of Variable in Triple Integrals
  •       cartesion to spherical
          Cartesion To Cylindrical
  • Applications Of Multiple Integrals

  • Introduction
  •       Gradient
          Directional Derivative
          Unit Normal Vector
          Orthogonal Surfaces
          Angle Between the two Normals
  • Divergence Of A Vector
  •       Solenoidal Vector
  • Curl Of A Vector
  •       Irrotational Vector
  • Operators
  •       Scalar Differential Operator,Vector Differential Operator,Laplacion Operator
  • Vector Identities

  • Definition
  • Line Integration
  •       Work done By A Force
          Example Problems
  • Surface Integration
  •       Example Problems
  • Volume Integration
  •       Example Problems

  • Gauss Divergence Theorem
  •       Applications
  • Green's Theorem
  •       Applications
  • Stokes Theorem
  •       Applications

  • Probability
  • discrete random variable
  • continuous random variable
  • binomial distribution
  • Poisson distribution
  • normal distribution
  • moment and moment-generating function
  • sampling distribution
  • estimation
  • Testing of hypotheses for large samples
  • Testing of hypotheses on small samples
  • Correlation analysis
  • Regression analysis
  • Curve fitting

  • Numerical Analysis


  • Introduction
  • Bisection Method
  • Regula Falsi Method
  • Newton-Raphson Method

  • Trapezoidal Rule
  • Simpson's 1/3 Rule
  • Simpson's 3/8 Rule

  • Introduction
  • Euler's Method
  • Modified Euler's Method
  • Runge-Kutta Method

  • Interpolation
  • Newton Gregory Forward Interpolation Formula
  • Newton Gregory Backward Interpolation Formula
  • Central Differences
  • Gauss Forward Formula
  • Gauss Backward Formula
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