MATH 172 -- Numerical Analysis 2, Spring 1999

• Syllabus and Schedule

  • Course Syllabus
    

• Maple Code

  • What is Numerical Analysis? -- A Maple sampler.
  • Maple code for adaptive quadrature
  • Maple code for Modified Euler Method
  • Maple code for the eigenvalue power method

• Information on Exams

  • Review sheet for Midterm -- Review sheet source
  • Solutions for Midterm -- Solutions source
  • Final Exam -- Thursday, May 13 at 8:30 am. Review sheet for final. Review Session: Monday, May 10, 7:00 p.m. -- ?, in Haberlin 412.
  • It has been pointed out to me that the link above for the review sheet does not work from some students' Sun accounts ( :( ). I will have hardcopies of the Review Sheet ready for you to pick up when you turn in the final projects.

• Assignments

  • Lab 1 -- Lab 1 source
  • Discussion 1 -- Discussion 1 source
  • Lab2 -- Lab 2 source
  • Discussion 2 -- Discussion 2 source
  • Lab3 -- Lab 3 source
  • Final Projects -- Final Projects source
  • Discussion 3 -- Discussion 3 source
  • Problem Set 4: From Burden and Faires: Section 7.1/ 4,5c,6,7,9; Section 7.2/1 a,f, 10; Section 7.3/1 a,d. Extra Problem: Show using Lagrange Multipliers that the matrix 2-norm ||A||₂ equals the square root of the spectral radius of the matrix A^tA for all n x n matrices A. The spectral radius of a matrix is the largest of the absolute values of the eigenvalues of the matrix. If the matrix has complex eigenvalues, then they must be taken into account too, using the formula |a + bi| = (a² + b²)^1/2. Due: Thursday, April 8
  • Lab 5 -- Lab 5 source
  • Discussion 4 -- Discussion 4 source

• Announcements and Other Information

  • Final Projects -- due by 4:30 pm on Tuesday, May 4 at the latest. No late work accepted on this assignment! (I will be at one of the Honors Program presentation sessions from 3 pm to 4:30 or so, and I will be coming back to my office to pick up any "stragglers" placed under my door after that.)
  • Information on Unix on the Sun workstation network.
  • A Maple programming primer. This file is also available as a Maple worksheet at /home/fac/little/Classes/Numer-98/ProgPrim.mws. You can copy it and experiment, modify it, etc.

• Related Links

  Because numerical analysis is a very "computerized" subject, there is a great deal of information available on the WWW, including tutorials, lists of available software packages, research papers/preprints, newsgroups and mailing lists. Here are two good starting points for exploration:

  • From the homepage of the Penn State Math Department. Follow the link to Subject Area Pages, then look for Numerical Analysis.
  • A Numerical Analyis FAQ page with a ton of useful and interesting information.

• as .dvi files from TeX documents. Clicking on one of these links in Netscape on the SW 219 lab machines will read in and display these files via a ".dvi previewer" called xdvi. (You should see a screen image looking like the typeset page(s), in a separate window.) This display is unfortunately not printable. These files can be displayed on your computer only if you have a .dvi previewer plugin for your web browser. Otherwise, clicking on one of these links will initiate a download. Unless you have a .dvi previewer and/or .dvi file printing software, those files will not be especially useful.
• As TeX source files. On the SW 219 lab machines, you can generate hardcopy output by clicking on one of the links marked foo source. This will initiate a download of the TeX source file to your directory, in the file you specify -- say you decide to call it foo.tex also. After completing the download, you can generate a printed copy in SW 219 by entering the following commands from a Terminal Window:
  1. tex foo.tex
  2. dvips foo.dvi
  The extension .tex on the filename in the tex command may be omitted if you have named the file foo.tex. The .dvi extension on the filename in the dvips command is also optional.

Last modified: May 2, 1999