Minicourses are open only to persons who register for the Joint
Meetings and pay the Joint Meetings registration fee in addition
to the appropriate minicourse fee. If the only reason for registering
for the Joint Meetings is to gain admission to a minicourse, please
make a notation on your registration form. If the minicourse is
fully subscribed or cancelled, a full refund of the Joint Meetings
advance registration fee (otherwise subject to the 50% rule) will
be made. The MAA reserves the right to cancel any minicourse that
is undersubscribed. Minicourses #1 and #2 are scheduled before
the Joint Mathematics Meetings actually begin, so those interested
must register in advance;
there will be no on-site registration for #1 and #2. Click here
and Housing Form.
Minicourse #1:Using interactive labs
to explore abstract algebra topics, organized by Allen C.
Hibbard, Central College, and Kenneth M. Levasseur, University
of Massachusetts at Lowell. Part A: Saturday, 8:00 a.m. to 10:00
a.m.; Part B: Saturday, 1:00 p.m. to 3:00 p.m. Using Mathematica,
participants will become engaged in examining interactive laboratory
activities focusing on groups, rings, and morphisms. The notebooks,
designed for exploration and investigation of these structures,
are intended to expand upon or motivate classroom discussions. No
programming with Mathematica is necessary, since packages are read
in that define the required functionality. (Minimal familiarity
using the software is helpful, however.) A CD with our packages
and notes will be distributed. For more information, go to http://www.central.edu/eaam.html.
Cost is $90; enrollment limit is 30. N.B. Those interested must
register in advance; there is no on-site registration for this minicourse.
Minicourse #2: Mathematical algorithms,
models, and graphic representations using spreadsheets, organized
by Robert S. Smith, Miami University, Deane E. Arganbright,
University of Tennessee at Martin, and Erich Neuwirth, University
of Vienna. Part A: Saturday, 10:30 a.m. to 12:30 p.m.; Part B: Saturday,
3:30 p.m. to 5:30 p.m. This minicourse will draw on examples from
calculus, precalculus, finite mathematics, numerical analysis, statistics,
geometry, number theory, and discrete dynamical systems to illustrate
a variety of mathematical concepts. We will use the spreadsheet's
graphical power to design interactive mathematical displays that
illustrate algorithms and to create classical curves, tessellations,
and elementary fractal patterns. The course will also briefly demonstrate
how other mathematical packages can be integrated into spreadsheets.
Spreadsheet experience is desirable but not necessary. Cost is $90;
enrollment limit is 30. N.B. Those interested must register in advance;
there is no on-site registration for this minicourse.
Minicourse #3: Optimal use of technology
in teaching geometry at the college-university level, organized
by Subhash C. Saxena, Coastal Carolina University, and Nick
Jackiw, Key Curriculum Press. Part A: Sunday, 9:00 a.m. to 11:00
a.m.; Part B: Tuesday, 8:00 a.m. to 10:00 a.m. The latest version
of Dynamic Geometry software empowers us to teach a lot more geometry
in an enhanced pedagogical environment. This minicourse will provide
hands-on experience to participants in the optimal use of technology
in diverse college geometry classrooms. We will discuss plane isometries,
dilations, affine transformations, inversions, non-Euclidean models,
fractals, and various custom tools with this technology. An abbreviated
guide for its Windows version with emphasis on specific topics will
be available to participants. Cost is $90; enrollment limit is 30.
Minicourse #4: Environmental mathematics,
organized by Ben Fusaro, Florida State University. Part A:
Sunday, 2:15 p.m. to 4:15 p.m.; Part B: Tuesday, 1:00 p.m. to 3:00
p.m. The goal of this Web-assisted minicourse is to acquaint teachers
with a method for modeling environmental problems suitable for a
liberal arts course. The prerequisite is Algebra II, yet nonlinear
flow problems (such as the logistic) can be solved. A five-model
solution pattern starts with a simple visual. This is used to construct
a qualitative graphical model and a flow equation (a DE in disguise).
The equation is solved computationally with a calculator or spreadsheet.
These numerical results are used to plot a graph on a coordinate
system. Cost is $90; enrollment limit is 30.
Minicourse #5: Using physical and
computerized puzzles as models of permutation groups in teaching
abstract algebra, organized by John O. Kiltinen, Northern
Michigan University. Part A: Sunday, 4:30 p.m. to 6:30 p.m.; Part
B: Tuesday, 3:15 p.m. to 5:15 p.m. Concrete models are helpful for
students learning abstract algebra. This minicourse offers ideas
on using physical models (an egg carton with numbered compartments
and numbered markers or the familiar "15" puzzle) and computerized
puzzles for learning permutation groups. The computerized puzzles
are developed by the presenter. Participants will explore using
models to illuminate the concepts of parity, cycle structure, conjugates
and commutators. They will learn to use Maple's group theory package
for exploring puzzles. Cost is $90; enrollment limit is 30.
Minicourse #6: WeBWorK, an Internet-based
system for generating and delivering homework problems to students,
organized by Arnold K. Pizer, Michael E. Gage, and
Vicki Roth, University of Rochester. Part A: Monday, 8:00
am. to 10:00 a.m.; Part B: Wednesday, 8:00 a.m. to 10:00 a.m. This
minicourse introduces participants to WeBWorK, a freely available
system that comes with an extensive library of problems. WeBWorK
won the 1999 ICTCM Award for Excellence and Innovation with the
Use of Technology in Collegiate Mathematics. Supported by a grant
from NSF, WeBWorK has already been adopted by a number of colleges
and universities. Participants will actively participate in using
WeBWorK and writing WeBWorK problems. Readers can learn more about
WeBWorK by connecting to http://www.math.rochester.edu/webwork/.
Cost is $90; enrollment limit is 30.
Minicourse #7: Creating and exporting
computer animations to the Web, organized by William D. Emerson,
Louis A. Talman, and Bradford Kline, Metropolitan
State College of Denver. Part A: Monday, 10:15 a.m. to 12:15 p.m.;
Part B: Wednesday, 1:00 p.m. to 3:00 p.m. Minicourse participants
will use Mathematica to develop animations that illustrate concepts
from the undergraduate curriculum and will learn to export these
animations to the Web via QuickTime. A modest familiarity with Mathematica
or other computer algebra systems is assumed. We will conduct this
minicourse in a computer laboratory, but participants are welcome
to supply their own laptops equipped with Mathematica (). Cost is
$90; enrollment limit is 30.
Minicourse #8: Real-world problem
solving using technology and student projects, organized by
Bruce Pollack-Johnson and Audrey Borchardt, Villanova
University. Part A: Monday, 1:00 p.m. to 3:00 p.m.; Part B: Wednesday,
3:15 p.m. to 5:15 p.m. Looking for a better way to teach business
calculus? Want to learn how to use math modeling and technology
to teach real-world problem solving and motivate your students using
projects from their own lives? Participants will acquire technological,
pedagogical, and organizational skills to implement these ideas.
They will participate in the project experience and receive hands-on
technology training. Experience with TI-83/82 or Excel helpful,
but not necessary. Participants will receive Excel templates and
technology booklets. Cost is $90;
enrollment limit is 30.
Minicourse #9: The Fibonacci and Catalan
numbers, organized by Ralph P. Grimaldi, Rose-Hulman
Institute of Technology. Part A: Sunday, 8:00 a.m. to 10:00 a.m.;
Part B: Tuesday, 8:00 a.m. to 10:00 a.m. In introductory courses
in discrete or combinatorial mathematics one encounters the Fibonacci
numbers--and sometimes the Catalan numbers. This minicourse will
review and then extend this first encounter as it examines some
of the properties these numbers exhibit as well as applications
where these sequences arise. A survey of applications dealing with
chemistry, physics, computer science, linear algebra, set theory,
graph theory, and number theory will show why these sequences are
of interest and importance. Cost is $60; enrollment limit is 60.
Minicourse #10: A dynamical systems
approach to the differential equations course, organized by
Paul A. Blanchard and Robert L. Devaney, Boston University.
Part A: Sunday, 2:15 p.m. to 4:15 p.m.; Part B: Tuesday, 1:00 p.m.
to 3:00 p.m. This minicourse will give an overview of the Boston
University Differential Equations Project, originally funded by
the National Science Foundation. The BU project involves a complete
redesign of the sophomore-level ODE course. It includes more emphasis
on qualitative and geometric methods as well as the incorporation
of technology and numerical methods throughout. This minicourse
will be useful to college instructors wishing to restructure their
ODE courses. Cost is $60; enrollment limit is 60.
Minicourse #11: Incorporating discrete
mathematics in the preparation of K12 mathematics teachers,
organized by Lolina Alvarez, New Mexico State University.
Part A: Monday, 8:00 a.m. to 10:00 a.m.; Part B: Wednesday, 8:00
a.m. to 10:00 a.m. More than a fixed set of topics, discrete mathematics
is really a way of thinking that deals with important and interesting
problems in contemporary mathematics. We will start by picking up
some simple situations from art, biology, social psychology, and
computer science, just to name a few. We will expose, at different
levels of sophistication, the mathematics related to each situation.
We will emphasize the interplay between mathematical content and
methods of teaching and learning. Each course participant will receive
a collection of materials, including an extensive list of resources.
Cost is $60; enrollment limit is 60.
Minicourse #12: Introduction to
mathematical card tricks, organized by Colm K. Mulcahy
and Jeffrey A. Ehme, Spelman College. Part A: Monday, 1:00
p.m. to 3:00 p.m.; Part B: Wednesday, 1:00 p.m. to 3:00 p.m. Card
tricks liven up any gathering--including mathematics classes--and
can help to convince people that math is fun and that there is a
rational explanation for some seemingly impossible events. This
interactive introduction to mathematical card tricks will survey
applications of permutations, binary and ternary numbers, probability,
and more and will feature classic tricks based on the Gilbreath
principle and faro shuffle. Cost is $60; enrollment limit is 60.
Minicourse #13: Getting students
involved in undergraduate research, organized by Aparna W.
Higgins, University of Dayton, Joseph A. Gallian, University
of Minnesota, Duluth, and Stephen G. Hartke, Rutgers University.
Part A: Sunday, 8:00 a.m. to 10:00 a.m.; Part B: Tuesday, 8:00 a.m.
to 10:00 a.m. This course will cover many aspects of facilitating
research by undergraduates, such as finding appropriate problems,
deciding how much help to provide, and presenting and publishing
the results. Examples of research in summer programs and research
that can be conducted during the academic year will be presented.
Although the examples used will be primarily in the area of discrete
mathematics, the strategies discussed can be applied to any area
of mathematics. Cost is $60; enrollment limit is 40.
Minicourse #14: Viewing mathematics
via interrelations, for undergraduate courses, organized by
Simon R. Quint, Stockton College of New Jersey. Part A: Sunday,
2:15 p.m. to 4:15 p.m.; Part B: Tuesday, 1:00 p.m. to 3:00 p.m.
Generally unknown to undergraduates, interrelations are a wondrous,
prevalent and powerful feature of contemporary mathematics. This
minicourse interactively presents material from a manuscript for
a capstone course Mathematical Interrelations and for interrelational
companion pieces to courses. Minicourse aspects: via calculus and
linear algebra, introductions to multifaceted elliptic curves, Lie
algebras and groups as interconnectors among algebra, analysis,
number theory, geometry; MSC2000 scheme; relations with Mathematical
Challenges of the 21st Century conference; Why view mathematics
via interrelations? Cost is $60; enrollment limit is 60.
Minicourse #15: Mathematical finance,
organized by Walter R. Stromquist, Berwyn, PA. Part A: Monday,
8:00 a.m. to 10:00 a.m.; Part B: Wednesday, 8:00 a.m. to 10:00 a.m.
We will examine market price statistics to test the validity of
the "standard model" for stock prices (Geometric Brownian Motion).
Then we will cover two main ideas of modern finance: portfolio optimization
and option valuation. Portfolio optimization uses matrix algebra
and quadratic programming to balance risk and reward. We will extend
option valuation from stock options (Black-Scholes) to oil field
valuation. The presenter will draw on practical examples from his
consulting work. Cost is $60; enrollment limit is 60.
Minicourse #16: Developing the ability to write proofs
in high school students and college mathematics majors, organized
by Daniel M. Fendel, San Francisco State University. Part
A: Monday, 1:00 p.m. to 3:00 p.m.; Part B: Wednesday, 1:00 p.m.
to 3:00 p.m. The focus of this minicourse is on ways to help both
high school students and college mathematics majors develop the
ability to write meaningful proofs, that is, convincing arguments.
A key element of the approach is to have students work from their
own conjectures, gradually attaining greater rigor. Participants
will work with activities from the presenter's high school and college
texts, will see student work, and will discuss the controversies
that arise from this approach. Cost is $60; enrollment limit is