Math 464A, Numerical Analysis, Fall, 2012

This is the Math 464A homepage. Consult it from time to time to find useful information for the course. I will include links to the syllabus and other course information.

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Here is a copy of current course information.

• (12/7/12) Sample problems for the final.
• (11/26/12 Carl DeBoor on divided differences.
• (11/12/12) As promised: first six chapters of Trefethen's book
• (10/20/12) Sample probems for the midterm.
• (9/13/12) Class email address is math464a_au12@uw.edu
• (9/12/12) Notes on the discrete Fourier transform and fast Fourier transform.
• (9/12/12) Least squares applied to polynomial approximation.
• (9/12/12) A discussion of Cauchy sequences can be found in Taylor's book or Folland's book; and also on page 197 of Johnson and Riess. There is a discussion of Newton's method in several variables and Cauchy sequences on pages 194-198 of Johnson and Riess. There will be no problems involving Cauchy sequences on the midterm.
• (9/12/12) Wikipedia has an entry on Taylor's theorem, with a statement and proof of the several variable case. It is also stated and proved in most books on advanced calculus such as the books by Gerald Folland and Angus Taylor (not Brook Taylor, for whom the theorem is named). These books are both titled Advanced Calculus.
• (9/12/12) A proof of the formula for a sum of powers is in Bernoulli Numbers and the Riemann Zeta Function by B. Sury.
• (9/12/12) What Every Computer Scientist Should Know About Floating-Point Arithmetic
• (9/12/12) A quote from Richard Hamming: "The purpose of numerical analysis is insight, not numbers."
• (9/12/12) SAGE website.
• (9/12/12) Course notes by Anne Greenbaum and Tim Chartier.
• (9/12/12) If you go to http://depts.washington.edu/aslab/ and click on the link "terminal server" you will find instructions for how to use the Arts and Sciences computers remotely.
• (9/12/12) The College of Arts & Sciences Instructional Computing Lab is located in rooms B022 and B027 of the Communications Building and is open to all UW students. Room B022 is a drop-in lab containing 27 Windows XP systems. Room B027 is a classroom lab containing 28 Windows XP systems, a PC-attached projector, and an overhead projector. The lab also offers remote access for UW students and staff via a terminal server.
• (9/12/12) Syllabus