Math 334, Accelerated (Honors) Advanced Calculus, Fall, 2009

This is the Math 334 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.

The following are links to current course information.

(12/11/09) C-401 in Padelford is reserved for Math 334 review Saturday and Sunday from 9:30-2:00.
(12/11/09 Hyperbolic functions.
(12/08/09) Sample problems for the final.
(12/03/09) Federer's exposition of Geometric Measure Theory. His very dense book is 676 pages long.
(12/03/09) Properties of the Cantor set. It can be used to give an example of a Riemann integrable function f and homeomorphism g with the property that f(g(x)) is not Riemann integrable.
(12/03/09) Thursday, December 3, 2009, 4:00 5:00pm in Kane Hall 210 reception to follow Greg Hakim, University of Washington Associate Professor Department of Atmospheric Sciences Estimation and Prediction of Complex Systems: Progress in Weather and Climate
(11/28/09) Jensen's Integral Inequality.
(11/25/09) Hadamard's Inequality for determinants of matrices and its application to measures.
(11/25/09) The Cauchy-Binet formula and areas of submanifolds.
(11/25/09) Areas of hypersurfaces and parallelotopes.
(11/23/09) The measure of balls.
(11/23/09) Fubini's theorem.
(11/22/09 A set is Jordan-measurable if and only if Jordan Content of its boundary is 0.
(11/21/09) Justification for the method of Lagrange Multipliers.
(11/19/09) I've added a problem to the sample problem list.
(11/17/09) Sample problems for the second miderm
(11/17/09) Jensen's inequality.
(11/11/09) The Arithmetic mean - geometric mean inequality and consequences. Derivation of least squares.
(11/09/09) I'm changing the due dates of the homework. Section 3.4 will be due November 20, 4.3 will be due December 4, and I'll decide on rest of the due dates at a later time.
(10/22/09) The midterm will not cover the mean value theorem in several variables. The homework from section 2.4 is still due on Friday.
(10/20/09) Friday, October 23rd at 2:30pm in MGH 241: Persi Diaconis of Stanford University, Mary V. Sunseri Professor of Statistics and Mathematics, Shuffling Cards and Adding Numbers
(10/20/09) Sample problems for the first midterm.
(10/08/09) There will be a short Sage (http://sagemath.org) talk followed by a "Meet and Greet" on Friday, October 16 at 2:30pm in Padelford C401.
(10/05/09) A mailman list for this class has been created. Anyone registered for the class is on it. The address is math334a_au09@u.washington.edu
(10/02/09) Chad's office hours will be Monday 2:30-3:30 and Wednesday 12:30-1:20, in Padelford C115.
(10/01/09) Scanned first exercises from Folland)
9/30/09) MathAcrossCampus website. First lecture, Friday, October 9, 2009, 3:30pm in Electrical Engineering (EEB) 125 Christos Papadimitriou, University of California at Berkeley (Computer Science) The Algorithmic Lens: How the computational perspective is transforming the sciences
(9/29/09) The Art of Problem Solving class
(9/29/09) Putnam exam practice sessions.
(9/28/09) A geometric proof that (sin x)/x -> 1 as x->0.
(9/28/09) Cauchy's inequality
(9/14/09) The book Principles of Mathematical Analysis by Walter Rudin has a construction of the real numbers (as Dedekind cuts) from the rational numbers. It is on reserve in the math library. The reals can also be constructed from the rationals using Cauchy sequences by a general process known as completion that applies to any metric space.
(9/14/09) Basic Real Analysis by Tony Knapp is a good reference.
(9/14/09) A quote from Felix Klein (famous German mathematician) Everyone knows what a curve is, until he has studied enough mathematics to become confused through the countless number of possible exceptions.
(9/14/09) Some printings of Folland have an error on problem 6b, page 125. It should read grad F₃(a)=0. (There should be a subscript 3 on F.)
(9/14/09) Chad's mailbox is not in alphabetical order among the regular TA mailboxes. It is off in the upper right hand corner of the TA mailboxes. It is shared with Trevor McCarten.
(9/14/09) I will not talk about the Heine-Borel theorem and you will not be required to learn it.
(9/14/09) If you are trying to access journal links from off campus via MYUW, Comcast, Qwest, etc., you must remember to authenticate yourself as UW affiliated.
(9/14/09) SAGE website.
(9/14/09) For those of you who have either of the first two printings of the text the old errata link is appropriate.
(9/14/09) The Encyclopedia of Integer Sequences is a great resource.
(9/14/09) Mathworld link.
(9/14/09) History of Mathematics Archive
(9/14/09) Errata for Folland's text. It is updated regularly. You should send email to folland@math.washington.edu if you spot any errors not already listed
(9/14/09) In problem number 7, section 1.3, consider f(x) to be defined only for x>0. Also assume the integers p and q are positive.
(9/14/09) Syllabus(pdf)

morrow@math.washington.edu