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.
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.