|
|
Jeff Dodd
Professor of Mathematics
Office : 143 Ayers
Hall |
MS
112 Precalculus Algebra
Monday
- Thursday: 9:45 AM – 12:15 PM
MS 112 Syllabus and Schedule: MS 112 June 4 Week 2013.pdf
Daily (Monday – Thursday): 8:45 AM – 9:45 AM and 12:15 PM – 1:15 PM
And by
appointment. (To make an
appointment: call me, email me, or talk
to me in class!)
I am in (or
near) my office most of the time during the day when I am not in class. Students (and others) are welcome to drop by
my office any time. I will be happy to
talk to you as long as I am not tied up with something.
|
Degree |
Year |
Institution |
Field |
|
Ph.D. |
1996 |
||
|
M.S. |
1988 |
||
|
B.S. |
1985 |
Ph.D. Thesis Advisor: Professor Robert L. Pego
Over the years, I have made a high priority of various service projects on the regional,
university, and departmental levels:
most notably serving the Southeastern Section of the Mathematical
Association of America (MAA-SE) as Alabama State Director for three years and
on the MAA-SE Service Award Committee for many years, directing the Alabama
Statewide Mathematics Contest for five years, serving as President of the JSU
Faculty Senate for two years, and chairing the Undergraduate and Graduate
Mathematics Curriculum Committees in my department for many years. Due to my efforts in these and other service
endeavors, I have won four college level service awards in my 15 year career at
JSU.
Over the past several years I have become increasingly involved in research and writing. I am currently working on three separate parallel tracks:
1. Research in partial differential
equations (the topic of my Ph.D. thesis):
I have had a paper in this area published by the Electronic Journal of
Differential Equations (EJDE). This journal is refereed in the
traditional fashion, but it is online and freely available to all. For example, you can see my paper here:
http://ejde.math.txstate.edu/Volumes/2007/135/abstr.html
(I have enough material ready to publish another paper in this area, but at the moment this work is taking a back seat to the two other scholarly tracks I am pursuing.)
2. Projects for Dennis Zill's Applied Mathematics and Differential Equations
books:
Tim Anderson, mathematics acquisitions editor for Jones-Bartlett publishers, commissioned me to write these projects which appear in Professor Zill's books as contributions under my name and affiliation. So far, I have completed ten such projects. The very first project I wrote for Jones-Bartlett is displayed on the publisher's web site as a sample project for Zill's Advanced Engineering Mathematics book. You can read it here:
http://www.jbpub.com/samples/076374591X/4591X_PROJ_Zill9-16.pdf
3. Joint research with Vincent Coll:
An
old graduate school friend of mine and I have a program of research and exposition
in progress addressing various issues, mostly (but not entirely) having to do
with the geometry of surfaces of revolution and their higher dimensional
analogs. Our first joint paper was
published in the Journal of Geometry and
has been reviewed in MathSciNet. A follow-up to that paper
has just been published, and will be reviewed in MathSciNet.
A sequel to these papers will be released soon, and a number of other
projects are in the works.
More details about some of my activities can be found below. And the entire story of my mathematical life is detailed here:
“Which Surfaces of Revolution Core Like a Sphere?”, Mathematics Magazine, Vol. 83 No. 3, June 2010.
“Generalizing the Equal Area Zones Property of the Sphere”, Journal of Geometry, Vol. 90 (2008), 47-55.
“Spectral Stability of Undercompressive Shock Profile Solutions of a Modified KdV-Burgers Equation”, Electron. J. Diff. Eqns., Vol. 2007 (2007), No. 135, pp. 1-13.
“Some Combinatorial Questions”,
“A Novel Tournament: A New Combinatorial
Design for the Final Round of the
``The Equal Area Zones Property,” by Kristopher Simino (August 5, 2011)
Abstract: “In Chapter 1 we define and prove the equal area zones property for spheres. Then we discuss two versions of the equal area zones property that make sense in the context of more general, non-spherical ovaloids which we call the isotropic and weak versions. In Chapter 2 we show that an ovaloid satisfying either the isotropic or weak version of the equal area zones property must be a sphere. This theorem is due to Otto Stamm, who published it in German in 1951. To the best of our knowledge, our treatment of his result is the only one available in English.”
Textbook Contributions
The following projects appear in Advanced Engineering Mathematics, Dennis G. Zill and Warren S. Wright, 5th Edition (Jones Bartlett Publishers, 2014):
“When Differential Equations Invaded
Geometry: Inverse Tangent Problems in
the 17th Century''
“Two Properties of the Sphere”
“Potassium-Argon Dating”
“Tricky Timing: The Isochrones of Huygens and Leibniz”
“Vibration Control: Vibration Isolation”
“Vibration Control: Vibration Absorbers”
“Minimal Surfaces”'
“Making Waves: Convection, Diffusion, and Traffic Flow”
“The Uncertainty Inequality in Signal
Processing”
“The
Paris Guns: How the Science of
Ballistics Entered the Space Age”
Book Review
"Some
Books on the Art of Problem Solving",
For the
“Results of the Statewide Contest,
Algebra II with Trigonometry Examination, 1999 - 2003: lead editor and contributing
author, 2009: lead editor and co-author.
Geometry Examination, 1999 - 2003: lead editor and contributing
author.
Final Round Ciphering Questions, 1998 - 2003: co-author and lead editor.
(See http://mcis.jsu.edu/mathcontest.)
Presentations
“What Else Cores Like a Sphere?": Annual Meeting of the Alabama Association of College Teachers of Mathematics (AACTM), February 28, 2009
“Generalizing Some Geometric Properties of the Sphere”: Colgate University Mathematics Department Seminar Series, November 12, 2007.
“Generalizing a Coring Property of the Sphere”: 2007 Annual Meeting of the Southeastern Section of the Mathematical Association of America, March 17, 2007.
“Rings and
Things”: Mathfest
2006 (Summer Meeting of the Mathematical Association of
Panelist, “The No Child Left Behind Act”: panel discussion at the Annual Meeting of the Southeastern Section of the Mathematical Association of America, March 26, 2004.
“Mathematics
Program Assessment at
Co-organizer, “Encouraging Underrepresented Groups of Students in Math Contests”: contributed paper session at the Annual Joint Meeting of the American Mathematical Society (AMS) and the Mathematical Association of America (MAA), January 17, 2003.
“The Alabama Statewide Mathematics Contest: can one contest fit all?”, Alabama Council of Teachers of Mathematics (ACTM) Annual State Conference, Auburn University at Montgomery, Montgomery AL, November 15, 2002.
“Using
Challenging Problems from Elementary Mathematics to Stimulate and Motivate Preservice and Inservice
Teachers”: Annual Meeting of the Southeastern Section of the Mathematical
Association of
“Generalizing
the Equal Area Zones Property of the Sphere”': Annual Joint Meetings of the
American Mathematical Society (AMS) and Mathematical Association of
“Some Combinatorial Questions”: Annual Meeting of the Alabama Association of College Teachers of Mathematics (AACTM), Troy State University, Troy AL, February 12, 2000.
“Convective Stability of Shock Profile Solutions of a Modified KdV-Burgers Equation”: Society for Industrial and Applied Mathematics (SIAM) Minisymposium on Dispersive Equations, Annual Joint Meetings of the American Mathematical Society (AMS) and the Mathematical Association of America (MAA), Washington D.C., January 21, 2000.
“What Else
Slices Like a Sphere?”: Annual Meeting of the
“Vignettes From the History of the Mathematics of Voting”: JSU Math Department/JSU Math Club Colloquium, February 11, 1998.
“Alabama Commission on Higher Education (ACHE) Viability Standards” (with James Stagliano): Annual Meeting of the Alabama Association of College Teachers of Mathematics (AACTM), University of Mobile, Mobile AL, February 22, 1997.
“An
Introduction to the Mathematics of Voting”:
Refereeing
Refereed two papers for Mathematics Magazine (a publication of
the Mathematical Association of America):
one in 2011 and one in 2012.
Refereed two papers for the Journal of the Alabama Academy of Science: one in 2008 and one in 2010.
Consulting:
Mathematics Program Review
Coauthored with Jan Case a mathematics
program review commissioned by the administration of the Donoho
School in Anniston, Alabama. Contributed
to the report three items in particular:
a review of the current thinking on ``best practices'' in content and
methodology, a study of the issue of when students should start the serious
study of algebra (the ninth grade as is traditional or earlier), and an
overview of math contests and other extracurricular activities for high school
students. (The report was completed in
March 2010.)
Developmental and Editorial Book Reviews
Algebra: Form and Function by William G. McCallum, Deborah Hughes-Hallett, and Eric Connally, for John Wiley and Sons Inc., Publishers, December 2009.
How to Read and Do Proofs, 4th ed., by
Daniel Solow, for Shannon L. Corliss, Associate Editor for Mathematics, John
Wiley and Sons Inc., Publishers, Spring 2008.
Prelude to Calculus, by
Sheldon Axler, for Danielle Amico,
Editorial Assistant, John Wiley and Sons Inc., Publishers, July 2006.
Algebra: Form and
Function, 1st ed., by William G. McCallum, Deborah Hughes-Hallett, and Eric Connally, for
John Wiley and Sons Inc., Publishers, December 2004.
Calculus: Early
Transcendental Functions, by Larson, Hostetler, and Edwards, one hour
telephone interview with Elizabeth Kassab, Editorial
Assistant, Houghton Mifflin Publishers,
Just in Time Algebra and Trigonometry for Students of
Calculus, 2nd ed., by Ronald I.
Brent and Guntram Mueller, for Rachel S. Reeve,
Senior Project Editor, Addison-Wesley,
Differential Equations and Mathematical Modeling (new book), for Amy Gembala, Development Editor, McGraw-Hill, San Francisco CA, July 2003.
Differential Equations and Mathematical Modeling (new book), for Michelle Munn, Development Editor, McGraw-Hill, San Francisco CA, October 2000.
Untitled new book on applied calculus, for Gale Epps,
Editorial Assistant, Prentice Hall,
Advanced Engineering Mathematics, 2nd ed. by Dennis G. Zill and Michael R. Cullen, for Barbara Lovenvirth, Developmental Editor, Jones and Bartlett Publishers, Norwood MA, December 1998.
Calculus, 5th ed. by C. Henry Edwards and David E. Penney, for Gale Epps, Editorial Assistant, Prentice Hall, Upper Saddle River NJ, March 1997.
(Revised – June 1, 2013)
Back to MCIS People
Back to the MCIS Department Home Page
Back to the Jacksonville State University Home
Page