List of Tables

1. Floating $\rightarrow$ Normalized.
2. The bisection method for $f(x)=3x + sin(x) - e^x$, starting from $x_1=0,x_2=1$, using a tolerance value of 1E-4.
3. The Secant method for $f(x)=3x + sin(x) - e^x$, starting from $x_0=1,x_1=0$, using a tolerance value of 1E-6.
4. Comparison of methods, $f(x)=3x + sin(x) - e^x$, starting from $x_0=0,x_1=1$.
5. The order of convergence for the iteration algorithm with the different forms of $x=g(x)$ .
6. Left: Errors when finding a double root. Right: Successive errors with Newton's method for $f(x)=(x+1)^3=0$ (Triple root).
7. An example for solving a system by iteration
8. Another example for solving a system by iteration
9. The Error Sequences
10. You should use the following methods depending on the last digit of your Student ID.
11. Error Sequences. The number of iterations is not limited to or defined as 15. $r$ corresponds to exact value of root.
12. A comparison of singular and nonsingular matrices
13. Successive estimates of solution (Jacobi method)
14. Successive estimates of solution (Gauss-Seidel method)
15. Fitting a polynomial to data.
16. Interpolation of gasoline prices.
17. Divided-difference table in symbolic form.
18. Divided-difference table in numerical values.
19. Data to illustrate curve fitting.
20. Comparison of economized series with Maclaurin series.
21. Comparison of Chebyshev series for $e^x$ with Maclaurin series.
22. Data Points
23. Forward-difference approximations for $f(x)=e^x sin(x)$.
24. Central-difference approximations for $f(x)=e^x sin(x)$.
25. Example for the trapezoidal rule.