The final exam will be on Thursday December 19 from 1:30-3:30pm in our regular classroom.
All problems in this section are from the textbook. This homework is not to be turned in; a quiz drawn from the assigned problems will be given on the due date.
Here is a supplementary handout that may help in particular with the Section 6.10 problems.
Note: I removed Problem 3.6.3 because the proof of Theorem 3.6.11 is already completed in this edition of the text. By the way, the proof should have spelled out that the idea is to let b = a + th and c = a + tk for t sufficiently small. I've also withdrawn Problem 3.7.7.
Note: In Problems 3.1.5 and 3.2.3, "of equation Xc =" should be "Xc of equation".
You can download the authors' Newton's method program from http://matrixeditions.com/Programs.html. Here is a cleaned up version without the instructions that MATLAB can't interpret: newton.m. And here is a version with more flexible input syntax: newton3.m. Save one of the latter two files to MATLAB's ``current folder'', or copy and paste one of the programs into the M-file Editor/Debugger and save from there. Before running the programs, you should use the command format long in order to see better how the iteration converges.
Here also is an old M-file nbasin.m that colors initial guesses in the complex plane (for a function of one variable) according to where the Newton's method iterations converge. Save it in your current folder and type help nbasin for instructions on using it. It is not useful for any of the homework problems.
Note: In problem 2.2.5, the z should be an x.
John L. Hubbard & Barbara B. Hubbard, Vector Calculus, Linear Algebra, and Differential Forms: A Unified Approach, 4th edition, ISBN 9780971576650.The authors maintain a list of errata.
Here is Computer Assignment 1, due Friday October 4.
Here is Computer Assignment 2, due Wednesday October 30.
Here is Computer Assignment 3, due Wednesday November 13.
MATLAB materials for MATH 241 by Jonathan Rosenberg and Paul Green.
MATLAB is available in many of the campus computer laboratories and for download via TERPware.
Schedule of MATLAB tutoring provided by the Department of Mathematics. See also the Department's links to resources for undergraduate students.
Here is the syllabus in case you have misplaced your copy. For office hours and contact information see my home page.Updated: 2 December 2013