APPM 3050
Topic summary for Exam 1
Spring 2013
So far, we have used the following mathematical concepts in the course: Root finding Find the root of a function, r, such that f (r) = 0. Bisection, Newton's method, secant, false position. Simple versus high

APPM 3050
Topic summary for Exam 2
Spring 2013
So far, we have used the following mathematical concepts in the course: Root finding Find the root of a function, r, such that f (r) = 0. Bisection, Newton's method, secant, false position. Simple versus high

APPM 3050
Homework #02 Due Friday, February 1, 2013, in lab.
Spring 2013
1. Consider the Lagrange polynomial, P (x), passing through the set of n points, (xk , yk ), k = 1, n. In particular n n (x - xl ) P (x) = Lk (x) yk where Lk (x) = , l = k. (xk - xl

APPM 3050
Homework #01 Due Wednesday, January 23, 2013
Spring 2013
1. Sometime this week, go through sections 1.11.5 of the text while sitting at a terminal running Matlab. 2. Consider the function f (n) = 1+ 1 n
n
. From Calculus II, if one looks at the

APPM 3050
Homework #03 Due Monday, February 11, 2013, in lecture.
Spring 2013
1. In lab you generated some basic code to find the roots of the function f (x) using Newton's method. Recall that based on Newton's method, we calculate xn+1 = xn - f (xn )/f (

APPM 3050
Homework #04 Due Monday, February 18, 2013
Spring 2013
1. Consider the four points, (x1 , y1 ), (x2 , y2 ), (x3 , y3 ), and (x4 , y4 ) and the third-order Lagrange polynomial, P3 (x), passing through them. (a) By hand, integrate the Lagrange pol

APPM 3050
Homework #04A "Due" Wednesday, February 6, 2013
Spring 2013
1. In class today, we looked at the three points, (x1 , y1 ), (x2 , y2 ), and (x3 , y3 ) and the secondorder Lagrange polynomial, P2 (x), passing through them. We started to integrate t

APPM 3050
Homework #05 Due Wednesday, April 7, 2013
Spring 2013
b
1. In a recent lab we looked at some code to estimate the value of the definite integral
a
f (x) dx
using the trapezoidal rule. Take that code and modify it to estimate the integral value u