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Numerical Analysis: Syllabus

Numerical Methods

  • Solution of algebraic and transcendental equations of one variable by:
    • Bisection method
    • Regula-Falsi method
    • Newton-Raphson method
  • Solution of system of linear equations by:
    • Gaussian Elimination method and Gauss-Jordan method (Direct methods)
    • Gauss-Seidel method (Iterative method)
  • Interpolation
    • Newton’s (forward and backward) difference and interpolation
    • Lagrange’s interpolation

Numerical Integration:

  • Trapezoidal Rule
  • Simpson’s Rule
  • Gaussian quadrature formula

Numerical solution of ODEs using:

  • Euler method
  • Runge-Kutta method

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