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

• Ben Nolting*, Joseph Paullet, Joseph Previte, Introducing a Scavenger onto a Predator Prey Model, Applied Math E-Notes Vol 8(2008), 214-222 ).
• 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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External Funding

• NSF-REU in mathematical biology (2000-2003) Co-PI with Joseph Paullet
  
• PI of (2003-2006) and (2006-2008) NSF-REU in mathematical biology.
  
• Summer 2008 Announcement

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• 2006 REU in Mathematical Biology Poster - takes a while to load!

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Course Info Pages

• Math 220 (Spring '09) Website -- includes text info!!
• Math 422 (Spring '09) Website -- includes text info!!
• REU 08 files
• Previte's schedule
• Recent Omnivore Talk
• 2008 REU page (announcement)

• 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.

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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)
• 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.

• Sermons of our pastor: Rev. H. Leon Ben-Ezra at Faith Reformed Church in Erie (Saltsman Road)
• Faith Reformed Church in Erie (Saltsman Road)
• My mathematical ancestry --traces back to Carl Friedrich Gauss!
• My family crest (?)

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Fun Stuff

• My Old Original Teaching Statement
, and the distorted teaching statement authored by Robert Hoffman
• Previte International
• 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