Chapter 2 Figures and Programs:
Figure 1: Plot of the expanded form of (1-x)8 around x=1.
Figure 2: Bisection Method to find a zero of x3-x-1.
Bisection: A program for the bisection method. Output
Figure 3: A function
and corresponding fix-point iteration functions
and its derivative
Figure 4: Secant Method to find a zero of x3-x-1.
Secant: A program for the bisection method. Output
Figure 5: Method of False position to find a zero of x3-x-1.
Figure 6: Newton's Method to find a zero of x3-x-1. Output
Aitkin Acceleration: Aitkin acceleration of the sequence 1/n3.
Lagrange Polynomials: A program to plots the Lagrange polynomials for a given set of points.
Neville's Method: A program to compute polynomial interpolation using Neville's method. (This program runs only on Matlab).
Chapter 8 Figures and Programs:
Spring data: M-file for least square estimation.
Muscle data: M-file for least square estimation.
Chapter 4 Figures and Programs:
Figure 7: Shows errors of Trapezoid rule when approximating exp(x^2) in [0,1] using 3 nodes.
Figure 8: Compares relative error of forward difference to its Richardson extrapolation method.