Math 4640A Summer 1999


 I.  Floating point calculations    
     
            A. floating point numbers (1.2)
            B. error(1.3,1.5,1.5)
 
 II. Solution of linear systems   

            A. Gauss elimination and related stuff
                     i)Gauss elimination(8.0,8.1)
                     ii)pivoting strategies and errors(8.2)
                     iii)tridiagonal systems(8.3)

            B. Iterative methods
                     i)vector and matrix norms(7.3)
                     ii)Jacobi method(8.6)
                     iii)Gauss-Seidel method(8.6)
                     iv)others


 III. Interpolation 

            A. Lagrange interpolation(3.1,3.5)
            B. Hermite interpolation(3.6)
            C. others
            D. splines(3.7)


 IV.  Root finding 

            A. fixed point iteration(2.5,2.2)
            B. speed of convergence(2.5,2.0)
            C. systems of equations(2.10,2.11)