Joseph P. Previte, Associate Professor of Mathematics
Joseph P. Previte
Associate Professor of Mathematics
Finding a player..
Education
 Ph.D., University of Maryland, 1997
 M.A., University of Maryland, 1996
 B.A., Canisius College, 1991
Research Interests
 Topological Dynamical Systems
 Differential Geometry
 Moduli Spaces
 Undergraduate Finite Mathematics
 Mathematical Biology
Publications
 Joseph Previte, Michelle Previte Most Triangles are Acute preprint
 Joseph Previte, Michelle Previte, Mary Vanderschoot , Constructing SelfSimilar Trees with
Exponential Growth preprint
 Joseph Previte, Michelle Previte, Mary Vanderschoot , CopyPaste Trees and their Growth Rates, to appear, Rocky Mountain Journal Math
 Nicole Massarelli, Kathleen Hoffman, Joseph Previte, Effect of Parity on Productivity and Sustainability
of LotkaVolterra Food Chains , accepted, Journal Math Biology.
 Joseph Previte, Kathleen Hoffman, Period Doubling Cascades in a PredatorPrey Model with a Scavenger ,
SIAM Review 553 (2013), pp. 52354
 Joseph Previte, Michelle Previte, Mary Vanderschoot , The Growth Degree of Vertex Replacement Rules Journal of Graph Theory, Vol 73:1, pg 103117 (2013)
 Joseph Paullet, Joseph Previte, Comment on "Existence and uniqueness results for a nonlinear differential equation arising in viscous flow over a nonlinearly stretching sheet", Applied Mathematics Letters, Vol 25 (8), 11141117 (2012)
 Joseph Previte Essential Differential Equations
(2014) [3rd edition].
 Joseph Previte, Natalie Sheils, Kathleen Hoffman,, Tim Kiemel, Eric Tytell, Entrainment ranges of forced phase oscillators , Journal of Mathematical Biology 62(4):589603 (2011).
 Robert L. Hoffman and Joseph P. Previte , edited by Christine Horsman
Elementary Mathematical Models
KendallHunt Publishing Co. ISBN 9780757582493 (2009).
 Ben Nolting*, Joseph Paullet, Joseph Previte,
Introducing a Scavenger onto a Predator Prey Model,
Applied Math ENotes Vol 8(2008), 214222
).
 Joseph P. Previte, Michael A. Rutter and Scott A. Stevens REU in Mathematical Biology at Penn State Erie, The
Behrend College, Proceedings of the Conference on
Promoting Undergraduate Research in Mathematics , AMS (2007), 113117
 Michelle Previte, Joseph P. Previte, and Mary Vanderschoot , Limits of Vertex Replacement Rules, Rocky Mountain Journal of Math, Volume 37, Number 3 (2007), 10011026
 Keith Merrill*, Matthew Beauchesne*, Joseph Previte,
Joseph Paullet , and
Patrick Weidman,
Final Steady Flow near a Stagnation Point
on a Vertical Surface in a Porous Medium,
Int. J. Heat and Mass Transfer
49 46814686 (2006).
 Rebecca Ellison*, Virginia Gardner*,
Joel Lepak*, Meghan O'Malley*,
Joseph Paullet,
Joseph P. Previte,
Beth Ann Reid* and Katy Vizzard*,
Pattern Formation in Small
Arrays of Locally Coupled Oscillators,
Int. J. of Bifurcation and Chaos
15 22832293. (2005)
 Joseph P. Previte and
Eugene Z. Xia ,
Dynamics of the mapping class group on the moduli of a punctured sphere with rational holonomy,
Geom. Dedicata, Vol 112, No. 1, 6572 (2005)
 Joseph P. Previte and
Eugene Z. Xia , Exceptional Discrete Mapping Class Group Orbits in Moduli Spaces,
Forum Mathematicum, Volume 15, No. 6, 949954 (2003)
PDF version.
 Joseph P. Previte and
Eugene Z. Xia , Topological Dynamics on Moduli Spaces II,
Transactions of the AMS , Vol 354, No. 6, 24752494 (2002)
 Erica Chauvet*, Joseph
E. Paullet, Joseph P. Previte, Zac Walls*,
A LotkaVolterra Three Species Food Chain (PDF),
Mathematics Magazine, Vol 75, No 4, 243255, October 2002
 Joseph P. Previte and
Eugene Z. Xia , Topological Dynamics on Moduli Spaces I ,
Pacific Journal of Mathematics, Vol 193, No. 2, 397418 (2000).
 Richard Bertram , Joseph Previte, Arthur Sherman, Tracie Kinard, and Les Satin,
The Phantom Burster Model for Pancreatic ßCells , Biophysical Journal, Vol 79, 28802892 (2000).
 Joseph P. Previte, Graph Substitutions ,
Ergodic Theory and Dynamical Systems, Vol 18, Part 3, 661686 (1998).
 Robert L. Hoffman and Joseph P. Previte
(1997)
Elementary Mathematical Models with Spreadsheet Applications
ITP Brooks/Cole Publishing Co..
*Undergraduate researcher
Course Info Pages

MATH 250/251 Fall

MATH 427 Fall

Previte's Schedule

Fall 2013 Talk on Triangles

2x2 linear solver

3x3 linear solver

4x4 linear solver

Previte's Pivot Engine 
A linear algebra calculator. Row reduces
any matrix into reduced row echelon form using row operations;
can be used as a linear equations solver or to find the inverse of a matrix.

Previte's Automatic PdfLatex Program for Drop Box 64bit 
32bit
Download this (windows) executable and dump it into any directory. Then run it, it will run in the
background and automatically compile any latex file dumped into the directory (and rename it
with a .tex2 extension). Works great for IPad/IPhones users. Make sure your latex path is set.
Sites of Interest

The American Mathematical Society

The Mathematical Association of America

The Society of Actuaries

Project NExT
 InterVarsity Christian Fellowship at Penn State Erie
 Math Club at Penn State Erie
 Blue Letter Bible (KJV)
 What does the Bible say about...
 My answers to some objections

Dr. Boice's Final Message  Dr. James Montogomery Boice, a pastor Michelle and I regularly listened to
informing his congregation that he had terminal cancer. A testimony to
the power of Jesus Christ.

Faith Reformed Church in Erie (Saltsman Road)

My mathematical ancestry traces back to Carl Friedrich Gauss!

My family crest (?)

My family's side business Doofy Hats  (PSU theme colored long knit stocking hats!)
Fun Stuff
 The Adventures of Math Eddya colleague's
comic strip
 "Intolerance will not be tolerated" Does anyone else see
the logical problem with such a statement? Or is it simply that I have taught logic too many times?

My Old Original Teaching Statement
, and the distorted teaching statement authored by Robert Hoffman
 There are 2 more Dr. Joe Previte's !! Dr. Joe Previte (1),
Dr. Joe Previte (2) my goal is to coauthor a paper with these guys.
 Previte International (out of business)

Help with Pronouns
People

Prof. Michael I. Brin

Michelle Previte

Eugene Z. Xia

Robert L. Hoffman

Kathleen A. Hoffman
Search Engine
Joseph P. Previte
Department of Mathematics
Penn State Erie, The Behrend College
Station Road
Erie, PA 16563
(814)8986091
EMail
jpp4@psu.edu
The everimportant:
Behrend's Home Page
Mathematics at Penn State Erie