1. I realize some of this may be familiar to you as an experienced speaker, but I find it helpful to be clear about the expectations I have for this series.

2. The primary rule ("Richard's Rule") of these expository talks is that you must Prove some result during your talk. We want to see the nuts and bolts of a proof. Now, how much you prove can vary. The entire talk can be the explication of a single proof, or you might have smaller results to show. Feel free to discuss with me what you have in mind. Although the atmosphere is informal, these talks are not to be hand-waving and general. We come to see some mathematics, and whether the proofs are classics, old familiar standbys, or clever new results we want to see their inner workings.

3. You may expect an audience of about 15, divided more or less equally between undergraduates, graduate students, and faculty. Also, the faculty are not just from UMKC (University of Missouri - Kansas City), but often include guests from many surrounding colleges. You may assume a minimum level of Calculus II training, although this varies widely, depending on those present. Please ask me if you want to refine your sense of the audience's mathematical literacy.

4. You will be speaking from 4:00 to 4:50 pm on a Friday afternoon. Please be prepared to fill the 50 minutes. Our audiences expect a full talk, especially those who drive from some distance, and it is always better to have too much material than too little. Of course, feel free to leave some time for questions at the end, although it is probably best to encourage those questions during the body of the talk. In any case, do not go overtime. The 50 minute time is maximal. I can provide you a 5 minute warning if you like, but I will feel free to stop the talk after 50 minutes.

5. Topics for talks range widely, and I am happy to discuss possibilities with you. Remember these talks are Expository in nature. In general it is best to be specific, have a clear focus, place the result in context, avoid jargon, and of course include proof(s). I personally try to include the history of the problem if possible. Also, a snappy, informative title can help set the scene. All the titles since this series began in Winter 1988 can be seen below.

6. Your audience will always be pleased to have some sort of handout to take away with them (or at least a web address to visit for one). I will be happy to make copies for you if you provide me the original in advance. They may want to give more thought to what you say, find other references, or if you are willing, may want to contact you with further questions. I realize that not all talks lend themselves naturally to a handout, but please give it some thought.

7. This point is a purely personal note, and you may not agree. I prefer using the chalkboard or whiteboard rather than a projector in these sorts of talks. Projected talks are much too "canned" for the most part and can appear less lively and engaging, and unless there are two projectors, we lose the ability to see several "boards" up at the same time making it difficult to follow a mathematical argument. I admit that some topics are simply too complex to be written on a board in 50 minutes. But in those cases a combination of handouts, judicious talk-planning on your part, and if necessary a brief use of projected material can satisfy your needs. End of tirade.

8. Please arrive early at the room, no later than 3:45 pm, if possible, so you and I can check that everything is set the way you want, and you can review that setting. Also, the talk must begin within a minute or two of 4:00 pm, so it is wise to give yourself a few minutes of time before we begin.

9. The room in which you'll probably be speaking can hold no more than about 35 people (although as I mentioned we usually expect about 15). There is a whiteboard on the front wall, chalkboards on two other walls, and windows on the final wall. A table is at the front. The classroom is technologically-equipped with computer and internet access, a computer projection device mounted in the ceiling, a huge screen, attached VCR, document camera projector, etc.

10. I will provide you with directions to the location of the talk in Haag Hall on the UMKC campus when you are in contact with me.

Let me know if you have any other questions. Thanks!

Richard Delaware
Organizer
Email: delawarer@umkc.edu

• 1988-1992, First 5 Years
• 1993-1997, Second 5 Years
• 1998-2002, Third 5 Years
• 2003-2007, Fourth 5 Years
• 2008-2010, Just 3 years more.

• A Proof That e is Transcendental
  Richard Delaware, UMKC
  W Sept. 7, Attendance: 9
  
• Measuring Voting Power in a Presidential Election
  Richard Delaware, UMKC
  W Sept. 21, Attendance: 12
  
• General Relativity: Exercises in Physical Mathematics
  John Urani, UMKC (Physics)
  W Oct. 5, Attendance: 15
  
• The Bisection Method for Symmetric Eigenvalue Problems
  Noah Rhee, UMKC
  W Oct. 19, Attendance: 8
  
• Public Key Cryptography: A Game Anyone Can Play
  Alan Goerner, UMKC (Computer Science)
  W Nov. 2, Attendance: 13
  
• Chaos on the Real Line
  James Foran, UMKC
  W Nov. 16, Attendance: 14
  
• Queuing Theory: It's What You've Been Waiting For!
  Appie Van de Liefvoort, UMKC (Computer Science)
  W Nov. 30, Attendance: 14
  

• Ques: Can An Arbitrary Angle Be Trisected? Ans: Yes, No, Almost, and Who Cares?
  Richard Delaware, UMKC
  W Jan. 25, Attendance: 7
  
• Euclid's Parallel Postulate and Non-Euclidean Geometries
  Ming Chu, Rockhurst University
  W Feb. 8, Attendance: 10
  
• The Meta-Mathematical Heritage of Computer Science, Part I
  Alan Goerner, UMKC (Computer Science)
  W Feb. 22, Attendance: 12
  
• Chaos and Non-Linear Systems
  John Urani, UMKC (Physics)
  W Mar. 8, Attendance: 12
  
• Continuity of the Roots of Polynomial Equations
  Noah Rhee, UMKC
  W Mar. 22, Attendance: 7
  
• Measures: Beyond Length
  James Foran, UMKC
  W Apr. 5, Attendance: 10
  
• Polyhedra on Your PC
  Mike Mueller, Rockhurst University
  W Apr. 19, Attendance: 4
  

• The Leslie Matrix Model of Population Projection: A UMAP Module
  Richard Delaware, UMKC
  R Sept. 7, Attendance: 5
  
• Some Old Notes on Computer Graphics
  James Foran, UMKC
  R Sept. 21, Attendance: 11
  
• The Jacobi Method for Symmetric Eigenvalue Problems
  Noah Rhee, UMKC
  R Oct. 5, Attendance: 10
  
• The Jordan Curve Theorem: A Proof for the Piecewise Smooth Case
  Richard Delaware, UMKC
  R Oct. 19, Attendance: 22
  
• Algebraic Coding Theory
  Robert Middleton, UMKC (Computer Science)
  R Nov. 2, Attendance: 7
  
• Fractions Which Continue to Become Irrational!
  Mike Pape, UMKC
  R Nov. 16, Attendance: 8
  
• Exact and Approximate Solutions to Cubic and Quartic Equations
  Claudia Schaible, UMKC
  R Nov. 30, Attendance: 8
  

• En Route to Chaos: Sarkovskii's Theorem
  Richard Delaware, UMKC
  W Jan. 24, Attendance: 10
  
• Patterns Associated with Congruence and Divisibility Tests
  Philip Tsang, Central Missouri State University
  W Feb. 7, Attendance: 15
  
• How to Teach Rates in Algebra and Calculus
  Elizabeth Appelbaum, Park College
  W Feb. 21, Attendance: 11
  
• The Convergence of the Cyclic Jacobi Method for Symmetric Eigenvalue Problems
  Noah Rhee, UMKC
  W Mar. 7, Attendance: 5
  
• Life Contingencies: A Taste of Actuarial Mathematics
  Paula Johnson, UMKC
  W Mar. 21, Attendance: 19
  
• Picturing the Stars: An Algebraic Method for Digital Imagery Construction
  Karen Braman, Rockhurst University
  W Apr. 4, Attendance: 10
  
• A Proof of the Mean Ergodic Theorem for Matrices
  G. Phillip Barker, UMKC
  W Apr. 18, Attendance: 12
  

• Constructing Continuous Functions [First given Jan. 27, 1988.]
  James Foran, UMKC
  F Sept 7, Attendance: 15
  
• The Dragon, Fractals, and Number Theory
  Truett Mathis, William Jewell College
  F Sept. 21, Attendance: 15
  
• Dimensional Analysis
  Jerry Knopp, UMKC (Engineering)
  F Oct. 5, Attendance: 12
  
• Computer Implementation of Ö a
  Noah Rhee, UMKC
  F Oct. 19, Attendance: 16
  
• Using Matrix Calculus in the Classroom
  Darrell Thoman, William Jewell College
  F Nov. 2, Attendance: 25
  
• The Towers of Hanoi
  Appie Van de Liefvoort, UMKC (Computer Science)
  F Nov. 16, Attendance: 17
  
• The Cayley Hamilton Theorem: History and Proofs
  Richard Delaware, UMKC
  F Nov. 30, Attendance: 23
  

• An Excursion into Green's Functions
  Tristan Londre, UMKC
  F Jan. 25, Attendance: 9
  
• Canadian Calculus
  James Foran, UMKC
  F Feb. 8, Attendance: 21
  
• Graphs, Matrices, and the Jordan Normal Form
  Mike Pape, UMKC
  F Feb. 22, Attendance: 24
  
• What's Super about Supercomputers?
  Noah Rhee, UMKC
  F Mar. 8, Attendance: 12
  
• Fermat's 'Last Theorem' c.1667-1991: The Most Famous Marginal Note in Mathematical History
  Richard Delaware, UMKC
  F Mar. 22, Attendance: 16
  
• Black Holes and Curvature
  John Beem, University of Missouri - Columbia
  F Apr. 5, Attendance: 20
  
• Infinite Series: How Else Can They Sum?
  Robert Middleton, UMKC (Computer Science)
  F Apr. 19, Attendance: 18
  

• Geometry Revisited
  James Foran, UMKC
  F Sept 13, Attendance: 20
  
• Lattice Points: A Glimpse of Geometric Number Theory
  Robert Middleton, UMKC (Computer Science)
  F Sept. 27, Attendance: 16
  
• Sequences, Mathematical Induction, and the Heine-Borel Theorem
  Shing So, Central Missouri State University
  F Oct. 11, Attendance: 10
  
• A Videotape: "Case Studies of Political Opinions Passed Off as Science and Mathematics"
  Serge Lang, Yale University (Video lecturer, taped Aug. 7, 1989)
  F Oct. 18, Attendance: 25
  
• Singular Value Decomposition of m x n Matrices
  Noah Rhee, UMKC
  F Oct. 25, Attendance: 18
  
• The Binomial Theorem: An Extension
  Stephen Montgomery-Smith, University of Missouri - Columbia
  F Nov. 8, Attendance: 14
  
• The Chinese Remainder Theorem: An Ancient Concept in a Modern Setting
  John Koelzer, Rockhurst University
  F Nov. 22, Attendance: 17
  
• There is NO Finite Projective Plane of Order 10: A Computer-Aided 'Proof'
  Richard Delaware, UMKC
  F Dec. 6, Attendance: 12
  

• Plimpton 322: A Surprising Babylonian Clay Tablet
  Truett Mathis, William Jewell College
  F Jan. 24, Attendance: 13
  
• Distance in Graphs
  Songlin Tian, Central Missouri State University
  F Feb. 7, Attendance: 14
  
• Pascal's Triangle Before Pascal: An Historical Picturebook
  Richard Delaware, UMKC
  F Feb. 21, Attendance: 15
  
• A Videotape: "Transition to Chaos: The Orbit Diagram and the Mandelbrot Set"
  Robert Devaney, Boston University (Video lecturer, taped 1990)
  F Feb. 28, Attendance: 20
  
• Finding an Invariant Subspace of Diagonally Dominant Matrices
  Noah Rhee, UMKC
  F Mar. 6, Attendance: 14
  
• What is a Geodesic?
  John Beem, University of Missouri - Columbia
  F Mar. 27, Attendance: 14
  
• Duels, Duals, Dantzig and John von Neumann
  David Bitters, US Army Command & General Staff College, Leavenworth, KS
  F Apr. 10, Attendance: 6
  
• Will All N Become One? The Collatz Problem c.1930-1992
  Richard Delaware, UMKC
  F Apr. 24, Attendance: 9
  

• Algebraic Geometry and the Historical Development of Calculus
  Andy Bennett, Kansas State University
  F Sept 11, Attendance: 14
  
• A Taste of Taxicab Geometry
  Shing So, Central Missouri State University
  F Sept. 25, Attendance: 14
  
• Foran's Introduction to Functional Equations
  James Foran, UMKC
  F Oct. 9, Attendance: 13
  
• A Videotape: "Compound Soap Bubbles, Shortest Networks, and Minimal Surfaces"
  Frank Morgan, Williams College (Video lecturer, taped Jan. 16, 1991)
  F Oct. 23, Attendance: 12
  
• The SVD and Data Compression (or, Getting the Most Out of a Phone Call to Mars!)
  Noah Rhee, UMKC
  F Nov. 6, Attendance: 14
  
• Physics By the Bundle
  John Urani, UMKC (Physics)
  F Nov. 20, Attendance: 21
  
• I Tell You 5 Times: Primes on Their Heads in a Sum Won't Converge!
  Richard Delaware, UMKC
  F Dec. 4, Attendance: 15
  

• The Recurring Idea of Recurrence
  Chuck Moore, Kansas State University
  F Jan. 22, Attendance: 16
  
• A Videotape: "Mathematics Under Hardship Conditions in the Third World"
  Neal Koblitz, University of Washington (Video lecturer, taped Aug. 1991)
  F Feb. 5, Attendance: 10
  
• A Trip on the Homotopy Highway: Solving Systems of Nonlinear Equations
  Noah Rhee, UMKC
  F Feb. 19, Attendance: 10
  
• A House Divided: Are Congressional Seats Distributed Fairly?
  Steve Chiappari, Avila College
  F Mar. 5, Attendance: 9
  
• Geometry and Completeness
  John Beem, University of Missouri - Columbia
  F Mar. 19, Attendance: 15
  
• Buckingham's Theorem - Also Known as Dimensional Analysis
  David Bitters, US Army Command & General Staff College, Leavenworth, KS
  F Apr. 9, Attendance: 8
  
• There are Infinitely Many Carmichael Numbers: An 82 Year Old Problem Solved
  Richard Delaware, UMKC
  F Apr. 23, Attendance: 18
  

• As the Worm Turns c.1966-1993: What is the Area of the Smallest Convex Blanket That Will Cover Every Worm of Length 1?
  Richard Delaware, UMKC
  F Sept 10, Attendance: 12
  
• Brownian Motion on Greenian Sets
  Andy Bennett, Kansas State University
  F Sept. 24, Attendance: 12
  
• The Voyageur From the 4^th Dimension
  Paul Humke, St. Olaf's College
  F Oct. 8, Attendance: 15
  
• Cauchy's Interlacing Eigenvalues Theorem
  Noah Rhee, UMKC
  F Oct. 22, Attendance: 15
  
• 1-Dimensional Fractals
  James Foran, UMKC
  F Nov. 5, Attendance: 20
  
• Mathematics Through a Looking Glass: Principles of Reflection
  Steve Chiappari, Avila College
  F Nov. 19, Attendance: 12
  
• The Gibbs Phenomenon
  Nahkle Asmar, University of Missouri - Columbia
  F Dec. 3, Attendance: 12
  

• Coin Tosses and Temperatures: An Intuitive Description of the Relation Between Probability and Analysis
  Chuck Moore, Kansas State University
  F Jan. 21, Attendance: 20
  
• Borsuk's Question 1933-1993: Can You Partition Each Set in R^N of Diameter 1 into N+1 Sets of Diameter Less?
  Richard Delaware, UMKC
  F Feb. 4, Attendance: 12
  
• Do You Want to Bet? An Interesting Gambling Game
  David Surowski, Kansas State University
  F Feb. 18, Attendance: 8
  
• The Square Root of a Matrix
  Noah Rhee, UMKC
  F Mar. 4, Attendance: 20
  
• The Chronology Protection Conjecture
  John Beem, University of Missouri - Columbia
  F Mar. 18, Attendance: 13
  
• Touring Turing's World
  Robert Middleton, UMKC (Computer Science)
  F Apr. 1, Attendance: 11
  
• Can A World Appear Euclidean to Aliens, But Non-Euclidean to its Own People?
  Steve Chiappari, Avila College
  F Apr. 15, Attendance: 15
  

• A Videotape: "N is a Number: A Portrait of Paul Erdos"
  Documentary, 1993
  F Sept 9, Attendance: 10
  
• Writing Messages You Can't Read: Public Key Cryptosystems
  Andy Bennett, Kansas State University
  F Sept. 23, Attendance: 9
  
• Self-Similar Sets
  James Foran, UMKC
  F Oct. 21, Attendance: 14
  
• Hand-Held Numerical Analysis: Some Mathematics on a Graphics Calculator
  Steve Chiappari, Avila College
  F Nov. 4, Attendance: 11
  
• The Dinitz Conjecture 1978-1994: Partial Latin Squares Always Exist
  Richard Delaware, UMKC
  F Nov. 18, Attendance: 8
  
• The Central Limit Theorem
  Stephen Montgomery-Smith, University of Missouri - Columbia
  F Dec. 2, Attendance: 21
  

• A Videotape: "Seeing How to Turn a Sphere Inside-Out [Without Tearing It]"
  Two videos (Turning a Sphere Inside Out, 1976; Outside-In, 1995)
  F Jan. 20, Attendance: 16
  
• Catch a Wavelet
  Chuck Moore, Kansas State University
  F Feb. 3, Attendance: 14
  
• The Exchange Theorem for Compact Spaces
  David Surowski, Kansas State University
  F Feb. 17, Attendance: 9
  
• How Stable is Gaussian Elimination?
  Noah Rhee, UMKC
  F Mar. 3, Attendance: 26
  
• Covering Spaces and Curvature
  John Beem, University of Missouri - Columbia
  F Mar. 17, Attendance: 22
  
• Chaos in Quadratic Systems
  Phil Beaver, US Army Command & General Staff College, Leavenworth, KS
  F Mar. 31, Attendance: 18
  
• Kepler's Sphere-Packing Conjecture 1611-1995: What's the Best Way to Stack Oranges?
  Richard Delaware, UMKC
  F Apr. 14, Attendance: 13
  

• Wavelet Packets
  Andy Bennett, Kansas State University
  F Sept. 8, Attendance: 18
  
• How to be a Mathematical Disk Jockey, or Playing With L^p s
  Bryan Dawson, Emporia State University
  F Sept. 27, Attendance: 17
  
• Raindrops and Rainbows
  Steve Chiappari, Avila College
  F Oct. 20, Attendance: 14
  
• Regular Polyhedra: Variations
  James Foran, UMKC
  F Nov. 3, Attendance: 18
  
• Numerical Problems in Computing A+B+C
  Noah Rhee, UMKC
  F Nov. 17, Attendance: 14
  
• What's the Densest Way to Pack Equal Circles in a Square? c.1964-1995
  Richard Delaware, UMKC
  F Dec. 1, Attendance: 16
  

• Random Riemann Sums: Your Chance of Success with the Riemann Integral
  Chuck Moore, Kansas State University
  F Jan. 26, Attendance: 14
  
• Can A Light in a Reflecting Room Always Be Seen From Every Spot? Any Spot?
  Richard Delaware, UMKC
  F Feb. 9, Attendance: 12
  
• Gaussian Elimination for Positive Definite Matrices
  Noah Rhee, UMKC
  F Feb. 23, Attendance: 17
  
• The Saccheri-Legendre Theorem
  John Beem, University of Missouri - Columbia
  F Mar. 8, Attendance: 17
  
• The Fundamental Theorem of College Algebra
  David Surowski, Kansas State University
  F Mar. 22, Attendance: 15
  
• Money, Grocery Scanners, and Abstract Algebra
  Joe Yanik, Emporia State University
  F Apr. 5, Attendance: 14
  
• Sensitivity Leads to Chaos! How Close Relationships Can Move Far Apart
  Arno Lergenmueller, Teacher's Training College, Bad Kreuznach, Germany
  F Apr. 19, Attendance: 16
  

• Spherical Trigonometry and the Origin of Logarithms
  Andy Bennett, Kansas State University
  F Sept. 13, Attendance: 14
  
• A Better Sports Draft: Fair Division of the Talent Pool
  Bryan Dawson, Emporia State University
  F Sept. 27, Attendance: 12
  
• Folding the Sheets: Computational Methods for Studying the Structure of Proteins
  Mike Melko, Petroleum Science Corporation
  F Oct. 11, Attendance: 14
  
• Encoding and Decoding Messages [Using Group Theory]
  Noah Rhee, UMKC
  F Oct. 25, Attendance: 12
  
• Something About Triangles
  James Foran, UMKC
  F Nov. 22, Attendance: 18
  
• Cascades, Fountains, and Showers: The Mathematical Patterns of Juggling
  Richard Delaware, UMKC
  F Dec. 6, Attendance: 16
  

• A Videotape: "N is a Number: A Portrait of Paul Erdos"
  Documentary, 1993
  F Jan. 24, Attendance: 37
  
• The Elusive Nature of Roots of Polynomials
  David Surowski, Kansas State University
  F Feb. 7, Attendance: 14
  
• A Random Walk Down Wall Street
  Chuck Moore, Kansas State University
  F Feb. 21, Attendance: 16
  
• Desargues' Theorem
  John Beem, University of Missouri - Columbia
  F Mar. 7, Attendance: 26
  
• Inner Reflections Upon Ellipses
  Richard Delaware, UMKC
  F Mar. 21, Attendance: 14
  
• Beyond Newton's Method
  Joe Yanik, Emporia State University
  F Apr. 4, Attendance: 14
  
• AB=BA: When Do Matrices Commute?
  Noah Rhee, UMKC
  F Apr. 18, Attendance: 13
  

• A Lesson in Dissection: Dehn Settles Hilbert's Third Problem
  Richard Delaware, UMKC
  F Sept. 12, Attendance: 10
  
• Beyond Grunbaum's Problem
  James Foran, UMKC
  F Sept. 26, Attendance: 13
  
• Understandable Chaos
  Robert Roe, University of Missouri - Rolla
  F Oct. 10, Attendance: 11
  
• To Bayes or Not to Bayes
  David Bitters, US Army Command & General Staff College, Leavenworth, KS
  F Oct. 24, Attendance: 16
  
• The Mother of All Fractals (Well, Almost)
  Richard Crownover, University of Missouri - Columbia
  F Nov. 21, Attendance: 23
  
• How to Define Numerical Stability
  Noah Rhee, UMKC
  F Dec. 5, Attendance: 14
  

• Ö2 : History and Proofs of Irrationality
  Richard Delaware, UMKC
  F Jan. 30, Attendance: 12
  
• Some Early Analytic Geometry and Calculus: Fermat & Descartes
  John Beem, University of Missouri - Columbia
  F Feb. 27, Attendance: 24
  
• How Do Calculators Actually Calculate?
  Betsy Yanik, Emporia State University
  F Mar. 13, Attendance: 8
  
• Computer Games & Continued Fractions
  Andy Bennett, Kansas State University
  F Apr. 10, Attendance: 9
  
• Iterating the Matrix (1/2)(A+A^-1): To What End?
  Noah Rhee, UMKC
  F Apr. 24, Attendance: 11
  

• It's All Corners! The Failure of Intuition: Functions Continuous Everywhere, But Differentiable Nowhere
  Richard Delaware, UMKC
  F Sept. 11, Attendance: 14
  
• Fourier Analysis: A Visualization Tool
  Rodolfo Torres, University of Kansas
  F Sept. 25, Attendance: 10
  
• The Length of the Graphs of One-to-One Functions
  James Foran, UMKC
  F Oct. 9, Attendance: 15
  
• Bubbles, Bubbles, Bubbles
  Andy Bennett, Kansas State University
  F Oct. 23, Attendance: 6
  
• Matrix Limits and Markov Chains
  Noah Rhee, UMKC
  F Nov. 6, Attendance: 9
  
• Choosing the Best Tool: Problem Solving Outside the Classroom
  Bill Miller, Rockhurst University
  F Nov. 20, Attendance: 14
  
• Unraveling Knots: The Jones Polynomial
  Doug Bullock, Boise State University
  F Dec. 4, Attendance: 10
  

• Chebychev Polynomials and the Minimal Polynomial of cos(2p/n)
  David Surowski, Kansas State University
  F Jan. 22, Attendance: 11
  
• Monkeys at Typewriters: Some Classical Probability & Analysis Analogues
  Chuck Moore, Kansas State University
  F Feb. 5, Attendance: 14
  
• Properties of the Battle Trace: A Military Application of Differential Equations & Statistical Modeling
  David Bitters, US Army Command & General Staff College, Leavenworth, KS
  F Feb. 19, Attendance: 18
  
• An Ancient Chinese Theorem and its Application to Nuclear Security
  Joe Yanik, Emporia State University
  F Mar. 5, Attendance: 14
  
• From Approximate to Exact Eigenvalues By Rayleigh Quotient Iteration
  Noah Rhee, UMKC
  F Mar. 19, Attendance: 13
  
• Hyperbolic Geometry: What Good is It?
  John Beem, University of Missouri - Columbia
  F Apr. 2, Attendance: 15
  
• From the 'Method' of Archimedes: The Area of a Parabolic Segment, By Levers & By Series
  Richard Delaware, UMKC
  F Apr. 16, Attendance: 16
  

• The Mathematics of Soap Bubbles
  Andy Bennett, Kansas State University
  F Sept. 10, Attendance: 15
  
• Can You Hear the Area of a Drum?
  Judy Munshower, Avila College
  F Sept. 24, Attendance: 21
  
• The Twisting Tennis Racket
  Mark Ashbaugh, University of Missouri - Columbia
  F Oct. 8, Attendance: 12
  
• Graphs of Minimal Length in the Plane
  James Foran, UMKC
  F Oct. 22, Attendance: 19
  
• Setting the College Standard, or, Fun With the Beta Distribution
  David Bitters, US Army Command & General Staff College, Leavenworth, KS
  F Nov. 5, Attendance: 20
  
• A (Partial) Proof of the Perron-Frobenius Theorem on Matrices
  Noah Rhee, UMKC
  F Nov. 19, Attendance: 10
  
• Kissing Numbers: How Many Congruent Regular Polygons Can Kiss Another of Their Kind?
  Richard Delaware, UMKC
  F Dec. 3, Attendance: 20
  

• Ramsey Theory & Monotone Sequences: A Party Tale of Mutual Acquaintances (or Mutual Strangers)
  David Surowski, Kansas State University
  F Jan. 28, Attendance: 15
  
• Averages and Maximal Averages: From Cricket Scores to Distributions of Numbers
  Chuck Moore, Kansas State University
  F Feb. 11, Attendance: 12
  
• The Surface Area of a Cylinder: Some Historical Proofs
  Alietia Caughron, UMKC
  F Feb. 25, Attendance: 22
  
• The Frobenius Theorem for Matrices
  Noah Rhee, UMKC
  F Mar. 10, Attendance: 12
  
• Inversions Applied to the Poincare and Lorentz-Poincare Planes
  John Beem, University of Missouri - Columbia
  F Apr. 7, Attendance: 12
  
• The Log and i
  Tristan Londre, Hyman Brand Academy
  F Apr. 21, Attendance: 15
  

• The Area of an Enigmatic Ellipse: Holditch's Theorem
  Richard Delaware, UMKC
  F Sept. 8, Attendance: 14
  
• Introduction to Mathematical Finance: The Black-Scholes formula, Idea and Proof
  Yong Zeng, UMKC
  F Sept. 22, Attendance: 13
  
• The Dynamics of Functional Iteration: Indecomposable Inverse Limit Spaces - Chaotic Systems (Sometimes)
  Robert Roe, University of Missouri - Rolla
  F Oct. 20, Attendance: 15
  
• Space-Filling Curves: Making N's Meet
  James Foran, UMKC
  F Nov. 3, Attendance: 15
  
• Area Without Squares
  Andy Bennett, Kansas State University
  F Nov. 17, Attendance: 19
  
• Modems and the Gamma Function, or, The Volume of N-Spheres
  Robert Middleton, UMKC
  F Dec. 1, Attendance: 28
  

• Weighing Balls and Information Theory
  David Surowski, Kansas State University
  F Jan. 26, Attendance: 15
  
• Determinantal Arrangements: New Arrangements From Old
  Keith Brandt, Rockhurst University
  F Feb. 23, Attendance: 22
  
• Why Are Manhole Covers Round?
  Joe Yanik, Emporia State University
  F Mar. 9, Attendance: 25
  
• Nature Counts Exponentially: The First Digit Problem
  Chuck Moore, Kansas State University
  F Mar. 23, Attendance: 23
  
• A Historical Approach to the Teaching of Statistics
  Saul Stahl, University of Kansas
  F Apr. 6, Attendance: 15
  
• Arrow's Impossibility Theorem: Is the Only Fair Voting System a Dictatorship?
  Richard Delaware, UMKC
  F Apr. 20, Attendance: 13
  

• The Tangential Triangle and Rectangle Problem: Erdos, Grunwald, and Polya
  Richard Delaware, UMKC
  F Sept. 7, Attendance: 17
  
• Mersenne Primes and GIMPS (The Great Internet Mersenne Prime Search)
  Curtis Cooper and Vince Edmondson, Central Missouri State University
  F Sept. 21, Attendance: 24
  
• Decomposition of a Plane Figure into Congruent Parts
  James Foran, UMKC
  F Oct. 19, Attendance: 11
  
• The Differencing Triangle
  Peter McCandless, Park University
  F Nov. 2, Attendance: 15
  

• Stirling, His Formula, and Other Curiosities
  Keith Brandt, Rockhurst University
  F Jan. 25, Attendance: 18
  
• The Color of Your Hat
  David Surowski, Kansas State University
  F Feb. 8, Attendance: 18
  
• Helge von Koch's 1904 Paper on his Famous "Snowflake" Curve: On a Continuous Curve without Tangents Constructible from Elementary Geometry
  Richard Delaware, UMKC
  F Feb. 22, Attendance: 26
  
• Finding Your Genes: Mathematical Analysis of DNA
  Chuck Moore, Kansas State University
  F Mar. 8, Attendance: 23
  
• Fractals Generated by Rectangles
  Alietia Caughron, UMKC
  F April 19, Attendance: 12
  

• A Continuous Function with a Very Long Graph!
  Alietia Caughron, UMKC
  F Sept. 13, Attendance: 15
  
• The Longest Curve with Increasing Chords (Whose Endpoints are a Unit Apart) Has Length 2p/3
  Richard Delaware, UMKC
  F Sept. 27, Attendance: 14
  
• A Construction of a Continuous Nowhere Differentiable Function Using Function Composition
  Robert Roe, University of Missouri - Rolla
  F Oct. 11, Attendance: 10
  
• Cinemath: Mathematics on the Silver Screen
  Charlie Smith, Park University
  F Oct. 18, Attendance: 47
  
• From Bishop Berkeley's 1734 Complaint to Colin MacLaurin's 1742 Response: The Calculus Finds Its Footing
  Richard Delaware, UMKC
  F Nov. 8, Attendance: 23
  

• Debunking an Outlandish Claim
  David Surowski, Kansas State University
  F Jan. 24, Attendance: 8
  
• Turning Needles in the Plane
  Chuck Moore, Kansas State University
  F Feb. 7, Attendance: 18
  
• CRYPTO: The Politics and Mathematics of Modern Cryptography
  Joe Yanik, Emporia State University
  F Feb. 21, Attendance: 16
  
• Quintessence of Dust: Georg Cantor Teases Apart the Real Number Line
  Richard Delaware, UMKC
  F Mar. 7, Attendance: 14
  
• Euler's Formula for Polyhedra
  Marge Bayer, University of Kansas
  F Mar. 28, Attendance: 14
  
• Falling Down: The Proof of Galileo's Nearly Correct Path of Quickest Descent
  Sarah Vaughn, UMKC Student
  and
  Albert Girard 1629: The First Statement of the Fundamental Theorem of Algebra
  Christina Miller, UMKC Student
  F Apr. 11, Attendance: 19
  

• The Birth of Geometrical Probability in 1733: The Needle Problem of Georges Louis le Clerc, Comte de Buffon
  Richard Delaware, UMKC
  F Sept. 12, Attendance: 16
  
• What in the World is a Fractional Derivative?
  Bob Middleton, UMKC
  F Sept. 26, Attendance: 32
  
• Some Transcendental Numbers: A Liouville Story
  Eric Hall, UMKC
  F Oct. 10, Attendance: 18
  
• A videotape: Fractals: The New Geometry
  Kenneth Falconer, University of St. Andrews, Scotland (Video lecture, taped June 2000)
  F Oct. 24, Attendance: 12
  
• Nash's Theorem, or A Beautiful Mind Revealed (Partly)
  David Bitters, US Army Command & General Staff College, Leavenworth, KS
  F Nov. 7, Attendance: 33
  
• Cinemath II: More Mathematics on the Silver Screen
  Charlie Smith, Park University
  F Nov. 21, Attendance: 46
  

• Reflections on Geometry
  Ton Boerkoel, Emporia State University
  F Jan. 23, Attendance: 10
  
• A Great Theorem of the 19^th Century: The Prime Number Theorem
  Mayumi Sakata, University of Missouri - Columbia
  F Feb. 6, Attendance: 16
  
• Hearing Shapes
  Chuck Moore, Kansas State University
  F Feb. 20, Attendance: 12
  
• Fibonacci Numbers and Cycles in Permutation Groups S_n, or It All Adds Up to n!
  Truett Mathis, William Jewell College
  F Mar. 5, Attendance: 14
  
• Some Proofs from Abraham de Moivre's The Doctrine of Chances: A Method of Calculating the Probabilities of Events in Play (1738, 2^nd Ed.)
  Richard Delaware, UMKC
  F Mar. 19, Attendance: 8
  
• From Sigma-Algebras to Crop Insurance... and Back Again
  Alietia Caughron, AgriLogic, Inc. (UMKC graduate)
  F Apr. 2, Attendance: 12
  
• A Lesson from Fibonacci: Leonardo Pisano's Liber Abaci (Book of Calculation) 1202
  Karla Childs, UMKC graduate student
  and
  Erdös' Simple 1932 Proof of Bertrand's 'Postulate': For any integer n > 2 there is a prime p such that n < p < 2n
  Louis Schenck, UMKC graduate student
  F Apr. 16, Attendance: 21