Math 2270
Linear Algebra
Fall term, 2000

Maple Projects

Send e-mail to : Professor Korevaar

Links:
Math 2270-1 home page
Professor Korevaar's home page
Department of Mathematics


Most recent listings are first.

Maple Project V
   Assigned Wednesday November 29
   Due Friday December 8
   2270proj5.html    Browser version of the fifth Maple project: conic sections and quadric surfaces in Maple.
   2270proj5.mws    Maple worksheet version, for you to download and open from Maple.
   Grading total = 14 points, 2 points each.
   2270ans5.html Solutions

2270bmicorr.html November 7 html version of our national height-weight data, our linear fit to the ln-ln version, and a statistical measurement (correlation coefficient) of how good the linear fit is, interpreted in terms of dot products and angles.
2270bmicorr.mws Maple worksheet version.

2270bmi.html November 3 html version of our national height-weight data, our linear fit to the ln-ln version, and the conversoin back to a power law for humand heights and weights
2270bmi.mws Maple worksheet version.

Maple Project IV
   Assigned Wednesday November 1
   Due Friday November 10
   2270proj4.html    Browser version of the fourth Maple project: you will find the approximate scaling law for human weight, as a power of height, based on the data you all collected. In the second part of the project you will explore the dot (or inner product) for functions, and use it to measure distance between functions, and to project functions onto subspaces.
   2270proj4.mws    Maple worksheet version, for you to download and open from Maple.
   Grading: 27 total points, distributed as follows:
     Part I: correct least squares line fit = 5 points, plot of ln-ln data and line fit = 3 points, plot of height-weight data and power law function = 3 points, weight estimates for 5, 5.5, 6, 6.5 feet tall people = 1 point.
     Part II: 2a = 1 point, 2b = 2 points, (there doesn't seem to be a 2c), 2d = 4 points, 2efgh = 2 points each.
     2270ans4.html    Here is the solution document, for your browser.

2270oct27.html    Class notes on function dot products, orthogonalzation of polynomials, and projection.
2270oct27.mws    Maple worksheet version

2270oct25.html    Class notes on function dot products, in particular on Fourier Series
2270oct25.mws    Maple worksheet version

Maple Project III:
   assigned Wednesday, October 17.
   due Wednesday October 24, at the start of class.
     2270proj3.mws    Maple Worksheet Format: Save this file from your browser and open it from Maple.
     2270proj3.html    To view the project on-line go to this address. This file won't open from Maple, however. One could work on the project by downloading the ".mws" file to work with, and keeping the ".html" file up on the browser in lieu of a hard copy.
   Grading: 22 points possible, distributed as follows:
     1 = 2 points, 2 = 1 point, 3 = 2 points, 4 = 1 point, 5 = 2 points, 6 = 1 point, 8 = 2 points, 9a = 1 point, 9b = 2 points, 10 = 3 points, 11 = 2 points, 12 = 3 points.
     2270ans3.html    Here is the solution document

Maple Project II:
   assigned Wednesday, September 20.
   due Wednesday September 27, at the end of class.
     2270proj2.mws    Maple Worksheet Format: Save this file from your browser and open it from Maple.
     2270proj2.txt       Maple Text Format: Use this file if the first one doesn't work; open it from Maple as a Maple text document.
     2270proj2.html    To view the project on-line go to this address. This file won't open from Maple, however. One could work on the project by downloading the ".mws" file to work with, and keeping the ".html" file up on the browser in lieu of a hard copy.
     2270ans2.html The solution file, in html, to this very long project.
  Grading: total = 28, distributed as follows:
     1a = 1, 1b = 2, 1c = 2, 1d = 2
     2a = 2, 2b = 2
     3a = 2, 3b = 5, 3c = 2, 3d = 2, 3e = 3, 3f = 3.

Maple Project I:
   assigned Wednesday, September 6.
   due Wednesday September 7, at the end of class.
     proj1.mws    Maple Worksheet Format: Save this file from your browser and open it from Maple.
     proj1.txt       Maple Text Format: Use this file if the first one doesn't work; open it from Maple as a Maple text document.
     proj1.html    To view the project on-line go to this address. This file won't open from Maple, however.
   Grading: 15 points, distributed as follows:
     define A and B = 1 point
     1a = 1 point, 1b = 1 point, 1c = 3 points, 1d = 1 point, 1e = 1 point, 1f = 3 points
     2a = 2 points, 2b = 2 points.