Joseph P. Previte
Associate Professor of Mathematics

• Ph.D., University of Maryland, 1997
• M.A., University of Maryland, 1996
• B.A., Canisius College, 1991

• Topological Dynamical Systems
• Differential Geometry
• Moduli Spaces
• Undergraduate Finite Mathematics


• Mathematical Biology

• Joseph Previte Essential Differential Equations ISBN 978-1-300-20886-0 (2012) [2nd edition].
• Joseph Previte, Kathleen Hoffman, Period Doubling Cascades in a Predator-Prey Model with a Scavenger , SIAM Review, Accepted 2012.
• 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), 1114-1117 (2012)
• Joseph Previte, Michelle Previte, Mary Vanderschoot, The Growth Degree of Vertex Replacement Rules, accepted 2011, Journal of Graph Theory.
• Joseph Previte, Natalie Sheils, Kathleen Hoffman,, Tim Kiemel, Eric Tytell, Entrainment ranges of forced phase oscillators , Journal of Mathematical Biology 62(4):589-603 (2011).
• Robert L. Hoffman and Joseph P. Previte , edited by Christine Horsman Elementary Mathematical Models Kendall-Hunt Publishing Co. ISBN 978-0-7575-8249-3 (2009).
• Ben Nolting*, Joseph Paullet, Joseph Previte, Introducing a Scavenger onto a Predator Prey Model, Applied Math E-Notes Vol 8(2008), 214-222 ).
• 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), 113-117
• Michelle Previte, Joseph P. Previte, and Mary Vanderschoot, Limits of Vertex Replacement Rules, Rocky Mountain Journal of Math, Volume 37, Number 3 (2007), 1001-1026
• 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 4681-4686 (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 2283-2293. (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, 65-72 (2005)
• Joseph P. Previte and Eugene Z. Xia , Exceptional Discrete Mapping Class Group Orbits in Moduli Spaces, Forum Mathematicum, Volume 15, No. 6, 949-954 (2003) PDF version.
• Joseph P. Previte and Eugene Z. Xia , Topological Dynamics on Moduli Spaces II, Transactions of the AMS , Vol 354, No. 6, 2475-2494 (2002)
• Erica Chauvet*, Joseph E. Paullet, Joseph P. Previte, Zac Walls*, A Lotka-Volterra Three Species Food Chain (PDF), Mathematics Magazine, Vol 75, No 4, 243-255, October 2002
• Joseph P. Previte and Eugene Z. Xia , Topological Dynamics on Moduli Spaces I , Pacific Journal of Mathematics, Vol 193, No. 2, 397-418 (2000).
• Richard Bertram , Joseph Previte, Arthur Sherman, Tracie Kinard, and Les Satin, The Phantom Burster Model for Pancreatic ß-Cells , Biophysical Journal, Vol 79, 2880-2892 (2000).
• Joseph P. Previte, Graph Substitutions , Ergodic Theory and Dynamical Systems, Vol 18, Part 3, 661-686 (1998).
• Robert L. Hoffman and Joseph P. Previte (1997) Elementary Mathematical Models with Spreadsheet Applications ITP Brooks/Cole Publishing Co..

*-Undergraduate researcher

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Course Info Pages

• MATH 141 Section 006
• MATH 250 Section 001
• Previte's Schedule
• 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.

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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!)

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Fun Stuff

• The Adventures of Math Eddy-a 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

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People

• Prof. Michael I. Brin
• Michelle Previte
• Eugene Z. Xia
• Robert L. Hoffman
• Kathleen A. Hoffman

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Search Engine

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Joseph P. Previte
Department of Mathematics
Penn State Erie, The Behrend College
Station Road
Erie, PA 16563


(814)-898-6091
E-Mail jpp4@psu.edu

The ever-important:

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Behrend's Home Page Mathematics at Penn State Erie