Math 336, Accelerated (Honors) Advanced Calculus, Spring, 2007

This is the Math 336 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. There are links to papers that you might want to use for your term report. I will add links throughout the quarter. Electronic math journals can be accessed through the University library link. American Mathematical Monthly and Mathematics Magazine can be accessed this way. The Mathematical Intelligencer is available in the Mathematics Research Library. The Notices of the American Mathematical Society also has expository articles.

The following are links to current course information.

  • (6/04/07) There was an error on the final exam. In problem number six the exponent of x should have been a-1 or -a, not a. I will not grade that problem.
  • (6/03/07) The review will be Sunday, June3, at 11:00 am in C401 Padelford.
  • (5/30/07) Map to my house.
  • (5/29/07) Sample problems for the final. There is plenty to keep you busy.
  • (5/29/07) The last assignment is canceled (material from chapter 5). You should spend the time on sample problems and finishing off your papers.
  • (5/28/07) I will have an end-of-the-year class party at my house on Wednesday, June 6, at 6:00. More details to come. Please save that date if possible.
  • (5/25/07) Here is a sample tex source file. It is the source for my proof of the Riemann-Lebesgue Lemma last quarter.
  • (5/22/07) Term paper news: If you have your paper complete I'd like for you to hand it in on Thursday, May 31. If you need more time, you can hand it sometime between May 31 and final exam day, June 4.
  • (5/18/07) The review session for the midterm will be Sunday, May 20, at 1:00 pm in Padelford C401.
  • (5/17/07) For the justification of taking the limit under the integral sign in problem #22 in section 4.3, assume that u and v are continuous.
  • (5/17/07) There is a misprint in problem #13, section 4.4: t should be replaced with (theta -t), where a=|a|exp(i*theta).
  • (5/15/07) In problem #21, section 4.3 the exponent of r should be 2|n|, not 2n.
  • (5/15/07) Sample problems for the second midterm.
  • (5/08/07) Problem 11, section 4.3 has a misprint. The inequalities should involve pi/n, not pi/2n.
  • (4/25/07) A short proof of a crucial step in the proof of Dirichlet's theorem on primes in an arithmetic progression.
  • (4/20/07) The review session for the first midterm will be Sunday, April 22 at 3:00 pm in Padelford C401.
  • (4/18/07) Sample problems for the first midterm.
  • (3/30/07) Owen's office hours will be 11:30 on Tuesday and 12:30 on Wednesday. My office hours will be 9:30 on Monday and Thursday.
  • Refer to the REU site for information about latex.
  • SAGE website.
  • There Are Only Nine Finite Groups of Fractional Linear Transformations with Integer Coefficients
  • Primes is in P
  • Primes is in P: A Breakthrough for "Everyman"
  • Hilbert Space Operators and Quantum Mechanics
  • Quantum Mechanics and Hilbert Space
  • The Kelly Criterion in Blackjack, Sports Betting, and the Stock Market.
  • Kyle Littlefield's 336 paper, Probabalistically Checkable Proofs and Approximating Solutions to Hard Problems.
  • Three Secrets about Harmonic Functions
  • A beautiful reference for the Jordan curve theorem and a complex analytic proof of it is in Elements of the Topology of Plane Sets of Points by M. H. A. Newman.
  • The Logic of Graph-Theoretic Duality.
  • A Mathematical Excursion: From the Three-Door problem to a Cantor-Type Set.
  • The April 2006 issue of the Notices of the AMS is devoted to Kurt Godel.
  • The Pythagoream Theorem: What Is It About, by Alexander Givental.
  • Papers by Andrew Oldyzko on the Riemann Zeta Function.
  • Fast Fourier Methods in Computational Complex Analysis by Peter Henrici.
  • A reference for Euclidean geometry is Geometry: Euclid and Beyond by Robin Hartshorne.
  • How to Make Wavelets by Robert Strichartz
  • Euler and the Zeta Function
  • An Elementary Problem Equivalent to the Riemann Hypothesis
  • The Bowl Championship Series: A Mathematical Review
  • Quantum Game Theory
  • Cantor and Sierpinski, Julia and Fatou: Complex Topology Meets Complex Dynamics Cantor and Sierpinski, Julia and Fatou: Complex Topology Meets Complex Dynamics
  • The Index of a Constrained Critical Point
  • Chebychev Polynomials and Regular Polygons
  • The Geometry of Harmonic Functions
  • Trisections and Totally Real Origami
  • Extreme Curvature of Polynomials
  • Math Awareness Month
  • The Continuum Hypothesis, Part I
  • What is a Random Sequence?
  • (Groups, Factoring, and Cryptography
  • Selling Primes
  • Two Classical Surprises Concerning the Axiom of Choice and the Continuum Hypothesis
  • Elusive Optimality in the Box Problem, The Box Problem: To Switch or Not to Switch
  • Peter Shor's homepage. There are many links to quantum computing on this page.
  • Merton's Partial Differential Equation and Fixed Point Theory
  • Financial Derivatives and Partial Differential Equations
  • The Riemann Hypothesis
  • Godel's Proof. This is a book review, but it contains a partial exposition of some famous theorems of Godel.
  • Constructions Using a Compass and Twice-Notched Straightedge
  • Simplicity and Surprise in Ramanujan's "Lost" Notebook
  • The Factorial Function and Generalizations
  • The Geometry of Harmonic Functions by Tristran Needham, Mathematics Magazine, April, 1994
  • Trigonometries
  • Compass and Straightedge in the Poincare Disk
  • Non-Euclidean III.36
  • On Prime Factors of An-1
  • Fermat and the Quadrature of the Folium of Descartes
  • (3/23/07) Don Marshall has allowed me to link to his homepage. He has written a beautiful set of notes and also developed some very nice software.
  • Example paper by a Nick Reichert.
  • Instructions for the term paper
  • Syllabus(pdf)

    • morrow@math.washington.edu