{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

MAD 4401 Study Guide for Test 1

# MAD 4401 Study Guide for Test 1 - MAD 4401 Keesling 1 Study...

This preview shows pages 1–2. Sign up to view the full content.

MAD 4401 Study Guide for Test 1 Keesling Test on 9/21/11 1. Have the following programs debugged on your TI-89 and ready for use on Test 1. Lagrange for a vector of x values and a vector of y values Vandermonde matrix for a vector of points Newton Cotes coefficients for n + 1 points Evaluation of Newton Cotes Estimate for n + 1 points Romberg Integration Gaussian Quadrature 2. Estimate the following integrals using Newton-Cotes, Romberg Integration, and Guassian Quadrature. (a) sin( x ) dx 0 π (b) exp( x 2 ) dx 0 1 (c) 1 1 + x 2 dx 4 4 In each of these cases discuss the error in using the estimate. 3. Give the polynomial and sketch the graph of the Lagrange interpolating polynomial approximating the following functions using n equally spaced points on the given interval. (a) sin( x ) on the interval [0, π ] (b) exp( x 2 ) on the interval [0,1] (c) 1 1 + x 2 on the interval [-4,4] 4. Let T n ( f ( x ), a , b ) be the composite Trapezoidal Rule estimating f ( x ) dx a b with n equal subdivisions of the interval [ a , b ] .

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

### Page1 / 2

MAD 4401 Study Guide for Test 1 - MAD 4401 Keesling 1 Study...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online