*First Semester*

Floating Point Representation of Numbers, Absolute Error, Relative Error, Rounding Error, Instability, Gaussian Elimination, Pivoting, LU Decomposition

Iterative Methods for Solving Systems of Linear Equations: Jacobi Iteration, Gauss-Seidel Iteration,

Nonlinear Equations: Bracketing Methods, Fixed Point Iteration, Newton Method.

MapleV --first part.

*Third Semester*

Eigenvalues, Eigenvectors: The Power Method, Deflation, Jacobi's Method. Approximation: Polynomial Interpolation: Lagrange Form, Divided Difference Form, Error of the Interpolation, Hermite Interpolation, Cubic Spline Interpolation, Least Squares Approximation to Discrete Data, Numerical Integration: Newton Cotes Formulas, Composite Forms, Ordinary Differential Equations, Initial Value Problems: Euler Method, Trapesoidal Formula, Convergence, Stability.

MapleV...--third part.

1998-05-25 11:39:43 MET DST

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