- Interpolation: Newton's forward, backward and divided difference formulae; Lagrange's method; Gauss, Stirling and Bessel's formulae; spline interpolation.
- Solution of Systems of Linear Equations: Gauss elimination method, Thomas algorithm, Gauss-Jacobi and Gauss-Seidel methods.
- Eigenvalues and Eigenvectors: Power method, Jacobi's method, Given's method, Householder's method.
- Solution of Non-linear Equations: Bisection method, fixed point iteration, Newton-Raphson, secant and regula-falsi methods.
- Solution of System of Non-linear equations: Fixed-point method and Newton's method.
- Numerical Differentiation: Formulae based on Newton's forward, backward, divided difference, and Lagrange's formulae.
- Numerical Integration: Trapezoidal rule, Simpson's 1/3rd and 3/8th rules, Weddle's rule, quadrature formulae based on Stirling's and Bessel's interpolation formulae.
- Solution of Differential Equations: Taylor's series method, Picard's method and Runge-Kutta methods (1st, 2nd and 4th orders) for solving ODEs.
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