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• Week 01: 1. Error analysis: Floating point arithmetic, Approximations and errors
• week 03: Bisection method, regula-falsi method
• Week 02: Methods for the solution of nonlinear equations
• Week 04: Newton-Raphson method, secant method, error analysis for iterative methods
• Week 05: Interpolation and polynomial approximation
• Week 06: Forward, backward and centered difference formulae,
• Week 07: Lagrange interpolation, Newton’s divided difference formula
• Week 08: Interpolation with a cubic spline, Hermite interpolation, least squares approximation.
• Week 09: Mid Terms
• Week 10: Numerical differentiation and Integration: Forward, backward and central difference formulae
• Week 11: Richardson’s extrapolation, Newton-Cotes formulae, Numerical integration Rectangular rule, trapezoidal rule, Simpson’s 1/3 and 3/8 rules
• Week 12: Boole’s and Weddle’s rules, Gaussian quadrature
• Week 13: Numerical solution of a system of linear equations Direct methods: Gaussian elimination method
• Week 14: Gauss-Jordan method; matrix inversion; LU-factorization
• Week 15: Doolittle’s, Crout’s and Cholesky’s methods
• Week 16: Iterative methods: Jacobi, Gauss-Seidel and SOR
• Week 17: Eigen values problems Introduction, Power Method, Jaccobi's Method.
• Week 18: Final Terms