MA7071 NUMERICAL AND STATISTICAL METHODS NOTES ANNA UNIVERSITY

MA7071 NUMERICAL AND STATISTICAL METHODS NOTES ANNA UNIVERSITY

UNIT I LINEAR SYSTEM OF EQUATIONS

  • Solution of Systems of equations
  • Solution of Simultaneous linear equations
  • Gauss elimination methods
  • Gauss Jordan methods, Jacobi and Gauss Seidal iterative methods

UNIT II NUMERICAL DIFFERENTIATION AND INTEGRATION

  • Interpolation, Differentiation and integration
  • Difference table
  • Newton’s forward and backward interpolation
  • Lagrangian interpolation
  • Differentiation formulae
  • Trapezoidal and Simpson rule
  • Gaussian Quadrature

UNIT III DIFFERENTIAL EQUATIONS

  • Ordinary Differential equations
  • Taylor Series and Euler methods
  • Runge– Kutta methods
  • Predictorcorrector method
  • Milne and Adam
  • Bashforth methods
  • Error Analysis

UNIT IV PROBABILITY DISTRIBUTIONS

  • Probability axioms
  • Bayes Theorem
  • One dimensional Discrete random variables and Continuous random variables
  • Density and Distribution functions
  • Binomial and normal distribution

UNIT V SAMPLING DISTRIBUTIONS

  • Small sample
  • t-test
  • F-test
  • 2 –test
  • ANOVA one way classification and two way classification

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