maria. CW0 n
AMSC 466. Dec. 17, 2014 Please write on the exam.
Final Exam NAME:
1. (a) Give the denition of the order of convergence for a method for solving nonlinear equa
tions f(x) = 0, x E R.
(b) Consider the constant slope method that can be viewed
AMSC/CMSC 466 Dr. VVolie FINAL EXAM Decembert 19, 2011
1. (10 points) Suppose you have a computer with machine epsilon 6 = 107.
f(x)=1n(1 + $2).
(a) If a: = 104 what result would the computer give for f ?
(b) Find a way to compute f(104) to full
AMSC/CMSC 466 Dr. Wolfe FINAL EXAM May 17, 2010
1. (25 points)
(a) For twodigit (base 10) arithmetic with rounding, what is the machine epsilon ?
Consider the system
1 1 3
_ _. = _ 1
4x + 59 4 ( )
1:1; + 1 l
(b) Solve the system (1) using twodigit a
Final Exam AMSC/CMSC 466, Sprlng 2011
In all cases explain your derivation. That is, do not just write down the nal answer.
1. (3 points) Consider a centered nite difference approximation to the derivative f (x) of the form
Df(x) = 71; [af(a:+
Introduction to Numerical Analysis I
Fall Term 2003
Instructor: Georg Dolzmann
Final - December 20, 2003
Problem 1: Consider nding a rational function p(x) = (a + bx) / (1 + cx) that
: yi» = 1:273
with x1, :32, :33 distinct. Does such
3/- Plefr 'Zmanbf
Final exam for Introduction to Numerical Analysis I, AMSC 466, section
0201 on 12/19/2013
The exam lasts 2 hours. No documents are allowed. The use of a calcu-
lator, cell phone or other equivalent electronic device is not allowed. There