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Posts

Future Blog Post

less than 1 minute read

Published: January 01, 2199

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Blog Post number 4

less than 1 minute read

Published: August 14, 2015

This is a sample blog post. Lorem ipsum I can’t remember the rest of lorem ipsum and don’t have an internet connection right now. Testing testing testing this blog post. Blog posts are cool.

Blog Post number 3

less than 1 minute read

Published: August 14, 2014

This is a sample blog post. Lorem ipsum I can’t remember the rest of lorem ipsum and don’t have an internet connection right now. Testing testing testing this blog post. Blog posts are cool.

Blog Post number 2

less than 1 minute read

Published: August 14, 2013

This is a sample blog post. Lorem ipsum I can’t remember the rest of lorem ipsum and don’t have an internet connection right now. Testing testing testing this blog post. Blog posts are cool.

Blog Post number 1

less than 1 minute read

Published: August 14, 2012

This is a sample blog post. Lorem ipsum I can’t remember the rest of lorem ipsum and don’t have an internet connection right now. Testing testing testing this blog post. Blog posts are cool.

portfolio

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publications

Geometry Forum articles

Published in Geometry Center, University of Minnesota, 1994

Citation: E. Sander, Geometry Forum articles, Geometry Center, University of Minnesota, Report GCG69, 1994.
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Fractals and fractal correlations

Published in Computers in Physics, 1994

Citation: E. Sander, L.M. Sander, and R.M. Ziff, Fractals and fractal correlations, Computers in Physics, 8(4):420-425, 1994.
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Further Geometry Forum Articles

Published in Geometry Center, University of Minnesota, 1995

Citation: R. Hesse and E. Sander, Further Geometry Forum Articles, Geometry Center, University of Minnesota, Report GCG83, 1995.
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Hyperbolic Sets for Noninvertible Maps and Relations

Published in PhD Thesis, 1996

Citation: E. Sander, Hyperbolic Sets for Noninvertible Maps and Relations, PhD Thesis, University of Minnesota, 1996.
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A new proof of the stable manifold theorem

Published in Zeitschrift für angewandte Mathematik und Physik (ZAMP), 1996

Citation: E. Sander and R. McGehee, A new proof of the stable manifold theorem, Zeitschrift für angewandte Mathematik und Physik (ZAMP), 47:497-513, 1996.
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Hyperbolic sets for noninvertible maps and relations

Published in Discrete and Continuous Dynamical Systems- Series A, 1999

Citation: E. Sander, Hyperbolic sets for noninvertible maps and relations, Discrete and Continuous Dynamical Systems- Series A, 5(2):339-358, 1999.
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Monte Carlo simulations for spinodal decomposition

Published in Journal of Statistical Physics, 1999

Citation: E. Sander and T. Wanner , Monte Carlo simulations for spinodal decomposition, Journal of Statistical Physics, 95(5-6):925-948, 1999.
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Homoclinic tangles for noninvertible maps

Published in Nonlinear Analysis, 2000

Citation: E. Sander, Homoclinic tangles for noninvertible maps, Nonlinear Analysis, 41(1-2):259-276, 2000.
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Spinodal decomposition: A survey of recent results

Published in International Conference on Differential Equations, 2000

Citation: S. Maier-Paape, E. Sander, and T. Wanner , Spinodal decomposition: A survey of recent results, International Conference on Differential Equations, 2:1288-1299, 2000.
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Unexpectedly linear behavior for the Cahn-Hilliard equation

Published in SIAM Journal on Applied Mathematics, 2000

Citation: E. Sander and T. Wanner , Unexpectedly linear behavior for the Cahn-Hilliard equation, SIAM Journal on Applied Mathematics, 60(6):2182-2202, 2000.
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Against All Odds: Review of Women Becoming Mathematicians by Margaret Murray

Published in American Scientist, 2001

Citation: E. Sander, Against All Odds: Review of Women Becoming Mathematicians by Margaret Murray, American Scientist, January-February, 2001.
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Explosions: Global Bifurcations at Heteroclinic Tangencies

Published in Ergodic Theory and Dynamical Systems, 2002

Citation: K.T. Alligood, E. Sander, and J.A. Yorke, Explosions: Global Bifurcations at Heteroclinic Tangencies, Ergodic Theory and Dynamical Systems, 22(4):953-972, 2002.
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Limits to the experimental detection of nonlinear synchrony

Published in Physical Review E, 2002

Citation: P. So, E. Barreto, K. Josic, E. Sander and S.J. Schiff, Limits to the experimental detection of nonlinear synchrony, Physical Review E, 65(4):046225, 2002.
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The geometry of chaos synchronization

Published in Chaos, 2003

Citation: E. Barreto, K. Josic, C. Morales, E. Sander, and P. So, The geometry of chaos synchronization, Chaos, 13(1):151-164, 2003.
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Pattern formation in a nonlinear model for animal coats

Published in Journal of Differential Equations, 2003

Citation: E. Sander and T. Wanner , Pattern formation in a nonlinear model for animal coats, Journal of Differential Equations, 191(1):143-174, 2003.
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The structure of synchronization sets for noninvertible systems

Published in Chaos, 2004

Citation: K. Josic and E. Sander, The structure of synchronization sets for noninvertible systems, Chaos, 14(2):249-262, 2004.
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A description of the DSWeb Tutorials Competition

Published in Dynamical Systems Magazine, 2005

Citation: E. Sander, A description of the DSWeb Tutorials Competition, Dynamical Systems Magazine, July, 2005.
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Dynamics of noninvertibility in delay equations

Published in Discrete and Continuous Dynamical Systems, 2005

Citation: E. Barreto, E. Sander, S. Schiff, and P. So, Dynamics of noninvertibility in delay equations, Discrete and Continuous Dynamical Systems, 768-777, 2005.
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Three-dimensional crisis: Crossing bifurcations and unstable dimension variability

Published in Phys. Rev. Lett., 2006

Citation: K.T. Alligood, E. Sander, and J.A. Yorke, Three-dimensional crisis: Crossing bifurcations and unstable dimension variability, Phys. Rev. Lett., 96(24):244103, 2006.
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Complex transient patterns on the disk

Published in Discrete and Continuous Dynamical Systems, Series A, 2006

Citation: J.P. Desi, E. Sander and T. Wanner , Complex transient patterns on the disk, Discrete and Continuous Dynamical Systems, Series A, 15(4):1049-1078, 2006.
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Explosions in dimensions one through three

Published in Rendiconti del Seminario Matematico, Torino, 2007

Citation: K.T. Alligood, E. Sander, and J.A. Yorke, Explosions in dimensions one through three, Rendiconti del Seminario Matematico, Torino, 65(1): 1-15, 2007.
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Noninvertibility

Published in Scholarpedia, 2009

Citation: E. Barreto, P. So, and E. Sander, Noninvertibility, Scholarpedia, 4(8):2242, 2009.
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A classification of explosions in dimension one

Published in Ergodic Theory and Dynamical Systems, 2009

Citation: E. Sander and J.A. Yorke, A classification of explosions in dimension one, Ergodic Theory and Dynamical Systems, 29: 715-731, 2009.
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Period-doubling cascades for large perturbations of Henon families

Published in Journal of Fixed Point Theory and Applications, 2009

Citation: E. Sander and J.A. Yorke, Period-doubling cascades for large perturbations of Henon families, Journal of Fixed Point Theory and Applications, 6(1): 153-163, 2009.
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Fixed points indices and period-doubling cascades

Published in Journal of Fixed Point Theory and Applications, 2010

Citation: M.R. Joglekar, E. Sander, and J.A. Yorke, Fixed points indices and period-doubling cascades, Journal of Fixed Point Theory and Applications, 8(1):151-176, 2010.
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The dynamics of nucleation in stochastic Cahn-Morral systems

Published in SIAM Journal on Applied Dynamical Systems, 2011

Citation: Jonathan P. Desi, Hanein Edrees, Joseph J. Price, E. Sander, and T. Wanner, The dynamics of nucleation in stochastic Cahn-Morral systems, SIAM Journal on Applied Dynamical Systems, 10(2): 707-743, 2011.
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The Dynamical Systems Track at ICIAM 2011 in Vancouver

Published in Dynamical Systems Magazine, 2011

Citation: E. Sander, The Dynamical Systems Track at ICIAM 2011 in Vancouver, Dynamical Systems Magazine, October, 2011.
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Period-doubling cascades galore

Published in Ergodic Theory and Dynamical Systems, 2011

Citation: E. Sander and J.A. Yorke, Period-doubling cascades galore, Ergodic Theory and Dynamical Systems, 31(4):1249-1267, 2011.
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Connecting period-doubling cascades to chaos

Published in International Journal of Bifurcation and Chaos, 2012

Citation: E. Sander and J.A. Yorke, Connecting period-doubling cascades to chaos, International Journal of Bifurcation and Chaos, 22 (2): 1250022-1, 2012.
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Pattern formation in a mixed local and nonlocal reaction-diffusion system

Published in Electronic Journal of Differential Equations, 2012

Citation: R. Tatum and E. Sander , Pattern formation in a mixed local and nonlocal reaction-diffusion system, Electronic Journal of Differential Equations, 160: 1-30, 2012.
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Branch interactions and long-term dynamics for the diblock copolymer model in one dimension

Published in Discrete and Continuous Dynamical Systems- Series A, 2013

Citation: I. Johnson, E. Sander, and T. Wanner , Branch interactions and long-term dynamics for the diblock copolymer model in one dimension, Discrete and Continuous Dynamical Systems- Series A, 33(8): 3671 - 3705, 2013.
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A period-doubling cascade precedes chaos for planar maps

Published in Chaos, 2013

Citation: E. Sander and J.A. Yorke, A period-doubling cascade precedes chaos for planar maps, Chaos, 23(3): 033113, 2013.
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GMU Math MakerLab

Published in Blog , 2014

Epidemics in the presence of social attraction and repulsion

Published in Mathematical Modelling of Zombies, 2014

Citation: E. Sander and C.M. Topaz (editor R. Smith?), Epidemics in the presence of social attraction and repulsion, Mathematical Modelling of Zombies, University of Ottawa Press, 2014.
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The many facets of chaos

Published in International Journal of Bifurcation and Chaos, 2015

Citation: E. Sander and J.A. Yorke, The many facets of chaos, International Journal of Bifurcation and Chaos, 25(4), 15300, 2015.
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Chaos and its manifestations

Published in SIAM News, 2015

Citation: E. Sander and J.A. Yorke, Chaos and its manifestations, SIAM News, 48(7) September, 2015.
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Degenerate nucleation in the Cahn-Hilliard-Cook model

Published in SIAM Journal on Applied Dynamical Systems, 2016

Citation: D. Blömker, E. Sander, and T. Wanner , Degenerate nucleation in the Cahn-Hilliard-Cook model, SIAM Journal on Applied Dynamical Systems, 15(1): 459-494, 2016.
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Measuring quasiperiodicity

Published in Europhysics Letters, 2016

Citation: S. Das, C.B. Dock, Y. Saiki, M. Salgado-Flores, E. Sander, J. Wu, and J. A. Yorke, Measuring quasiperiodicity, Europhysics Letters, 114(4):40005, 2016.
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Quasiperiodicity: Rotation numbers

Published in Proceeding of The Foundations of Chaos Revisited: From Poincare to Recent Advancements, 2016

Citation: S. Das, Y. Saiki, E. Sander, and J.A. Yorke, Quasiperiodicity: Rotation numbers, Proceeding of The Foundations of Chaos Revisited: From Poincare to Recent Advancements, Chapter 7, 103-118, Springer Complexity, Switzerland, 2016.
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Effects of polarization induced by non-weak electric fields on the excitability of elongated neurons with active dendrites

Published in Journal of Computational Neuroscience, 2016

Citation: R.I. Reznik, E. Barreto, E. Sander, and P. So, Effects of polarization induced by non-weak electric fields on the excitability of elongated neurons with active dendrites, Journal of Computational Neuroscience, 40(1): 27-50, 2016.
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Validated saddle-node bifurcations and applications to lattice dynamical systems

Published in SIAM Journal on Applied Dynamical Systems, 2016

Citation: E. Sander and T. Wanner , Validated saddle-node bifurcations and applications to lattice dynamical systems, SIAM Journal on Applied Dynamical Systems, 15(3): 1690-1733, 2016.
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Quantitative quasiperiodicity

Published in Nonlinearity, 2017

Citation: S. Das, Y. Saiki, E. Sander, and J.A. Yorke, Quantitative quasiperiodicity, Nonlinearity, 30(11): 4111-4140, 2017.
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Rigorous continuation of bifurcation points in the diblock copolymer equation

Published in Journal of Computational Dynamics, 2017

Citation: J-P Lessard, E. Sander, and T. Wanner , Rigorous continuation of bifurcation points in the diblock copolymer equation, Journal of Computational Dynamics, 4(1&2):71-118, 2017.
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Generalized Lorenz equations on a three-sphere

Published in The European Physical Journal Special Topics, 2017

Citation: Y. Saiki, E. Sander, and J.A. Yorke, Generalized Lorenz equations on a three-sphere, The European Physical Journal Special Topics, 226 (9) 1751-1764, 2017.
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Solving the Babylonian Problem of quasiperiodic rotation rates

Published in Discrete & Continuous Dynamical Systems - S, 2019

Citation: S. Das, Y. Saiki, E. Sander, and J.A. Yorke, Solving the Babylonian Problem of quasiperiodic rotation rates, Discrete & Continuous Dynamical Systems - S, 12(8): 2279-2305, 2019.
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Margaret Beck, Crawford Prizewinner

Published in Dynamical Systems Magazine, 2019

Citation: E. Sander, Margaret Beck, Crawford Prizewinner, Dynamical Systems Magazine, July, 2019.
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An entry in the 3D Printing section

Published in Illustrating Mathematics, 2020

Citation: E. Sander (Edited by Diana Davis), An entry in the 3D Printing section, Illustrating Mathematics, American Mathematical Society, 2020.
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Modeling Dynamical Systems for 3D Printing

Published in AMS Notices, 2020

Citation: Stephen K. Lucas, E. Sander, and Laura Taalman, Modeling Dynamical Systems for 3D Printing, AMS Notices, 67(11): 1692-1705, 2020.
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Birkhoff Averages and Rotational Invariant Circles for Area-Preserving Maps

Published in Physica D, 2020

Citation: E. Sander and J.D. Meiss , Birkhoff Averages and Rotational Invariant Circles for Area-Preserving Maps, Physica D, 411: 132529, 2020.
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Graduate Assistants supporting active learning in graduate classrooms

Published in On Demand, Innovations in Teaching & Learning Conference Proceedings, 2021

Citation: R. R.G., H. Klawa, C. Thomas, L. Nguyen, J. Jauchen, P. Seshaiyer, and E. Sander, Graduate Assistants supporting active learning in graduate classrooms, On Demand, Innovations in Teaching & Learning Conference Proceedings, 13, 2021.
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Birkhoff Averages and the Breakdown of Invariant Tori in Volume-Preserving Maps

Published in Physica D, 2021

Citation: E. Sander and J.D. Meiss , Birkhoff Averages and the Breakdown of Invariant Tori in Volume-Preserving Maps, Physica D, 428:133048, 2021.
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Equilibrium Validation in Models for Pattern Formation Based on Sobolev Embeddings

Published in Discrete and Continuous Dynamical Systems Series B, 2021

Citation: E. Sander and T. Wanner , Equilibrium Validation in Models for Pattern Formation Based on Sobolev Embeddings, Discrete and Continuous Dynamical Systems Series B, 26(1): 603-632, 2021.
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A Computer-Assisted Study of Red Coral Population Dynamics

Published in Pure and Applied Functional Analysis, 2022

Citation: S. Kamimoto, H.K. Kim, E. Sander, and T. Wanner, A Computer-Assisted Study of Red Coral Population Dynamics, Pure and Applied Functional Analysis, 7(4): 1307-1337, 2022.
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Modeling Dynamical Systems for 3D Printing

Published in The Best Writing on Mathematics 2021, 2022

Citation: Stephen K. Lucas, E. Sander, and Laura Taalman (Edited by Mircea Pitici), Modeling Dynamical Systems for 3D Printing, The Best Writing on Mathematics 2021, Princeton University Press, 2022.
Link to Journal

Equilibrium validation for triblock copolymers via inverse norm bounds for fourth-order elliptic operators

Published in Communications in Nonlinear Science and Numerical Simulation, 2022

Citation: Peter Rizzi, Evelyn Sander, and Thomas Wanner, Equilibrium validation for triblock copolymers via inverse norm bounds for fourth-order elliptic operators, Communications in Nonlinear Science and Numerical Simulation, 115: 106789, 2022.
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Mathematics of Floating 3D Printed Objects

Published in Proceedings of Symposia in Applied Mathematics (PSAPM) , 2023

Citation: Daniel M. Anderson, Brandon G. Barreto-Rosa, Joshua D. Calvano, Lujain Nsair, and Evelyn Sander (Edited by Maria Trnkova and Andrew Yarmola), Mathematics of Floating 3D Printed Objects, Proceedings of Symposia in Applied Mathematics (PSAPM) , 79, American Mathematical Society, 2023.
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GLAMS: Graduate Learning Assistants in Mathematical Sciences

Published in Problems, Resources, and Issues in Mathematics Undergraduate Studies (PRIMUS), 2023

Citation: J.G. Jauchen, H. Klawa, L. Nguyen, R. R.G., E. Sander, P. Seshaiyer, and C. Thomas, GLAMS: Graduate Learning Assistants in Mathematical Sciences, Problems, Resources, and Issues in Mathematics Undergraduate Studies (PRIMUS), 33(8): 819-840, 2023.
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Fixed Points, Periodic Orbits and Equilibrium States in Hyperbolic Dynamics Session, 5th International Conference on Dynamical Systems and Differential Equations

Published: June 17, 2004

Formation and Dynamics of Patterns in Evolution Equations, AIMS’ Sixth International Conference on Dynamical Systems, Differential Equations and Applications

Published: June 25, 2006

Special Session Applications of a geometric approach to chaotic dynamics, Spring Sectional Meeting of the American Mathematical Society

Published: April 10, 2010

Special Session The Role of Invariant Manifolds in Global Bifurcations (org. Pablo Aguirre/Steffi Hittmeyer), SIAM Conference on Applications of Dynamical Systems

Published: May 25, 2011

Undergraduate Program in Computational Math Summer Seminar Series Speaker, George Mason University

Published: July 01, 2011

Piecewise and Low-Dimensional Dynamics, Part of the Warwick Mathematics Institute University year long symposium on Ergodic Theory and Dynamical Systems

Published: July 05, 2011

teaching

Calc 1

Math 1507, Georgia Tech Fall, 1997

Technology in the Geometry Classroom

Math 5337, Georgia Tech Fall, 1997

Calc 2

Math 1508, Georgia Tech Spring, 1998

Quantitative Reasoning

Math 106, GMU Fall, 1998

Integral calculus

Math 114, GMU Fall, 1998

Differential Calculus

Math 113, GMU Spring, 1999

Numerical Analysis

Math 446, GMU Spring, 1999

Quantitative Reasoning

Math 106, GMU Fall, 1999

Integral calculus

Math 114, GMU Fall, 1999

Introduction to Probability and Statistics

Math 110, GMU Spring, 2000

Differential Equations

Math 216, GMU Spring, 2000

Linear Algebra

Math 203, GMU Fall, 2000

Numerical Analysis

Math 446, GMU Fall, 2000

Differential Calculus

Math 113, GMU Spring, 2001

Introductory Calculus with Business Applications

Math 108, GMU Fall, 2001

Partial Differential Equations

Math 678, GMU Fall, 2001

Multivariable Calculus

Math 213, GMU Fall, 2002

Ordinary Differential Equations

Math 677, GMU Fall, 2002

Multivariable Calculus

Math 213, GMU Fall, 2003

Advanced Calculus I

Math 315, GMU Fall, 2003

Advanced Calculus II

Math 316, GMU Spring, 2004

Multivariable Calculus

Math 213, GMU Fall, 2004

Dynamical Systems

Math 673, GMU Spring, 2005

Mathematical Biology

Math 689, GMU Fall, 2005

Multivariable Calculus

Math 213, GMU Spring, 2006

Ordinary Differential Equations

Math 677, GMU Fall, 2006

Dynamical Systems

Math 673, GMU Spring, 2007

Partial Differential Equations

Math 493, GMU Fall, 2007

Graduate Seminar

Math 795, GMU Spring, 2007

Advanced Methods in Applied Math

Math 689, GMU Spring, 2008

Partial Differential Equations

Math 493, GMU Summer, 2008

Introduction to Probability and Statistics

Math 110, GMU Fall, 2008

Linear Analysis

Math 675, GMU Fall, 2008

Graduate Seminar

Math 795, GMU Spring, 2008

Numerical Analysis II

Math 447, GMU Spring, 2009

Partial Differential Equations

Math 493, GMU Summer, 2009

Numerical Analysis

Math 685, GMU Fall, 2009

Algebra

Math 621, GMU Spring, 2010

Ordinary Differential Equations

Math 677, GMU Fall, 2010

Differential Calculus

Math 113, GMU Spring, 2011

Dynamical Systems

Math 673, GMU Spring, 2011

Differential Calculus

Math 113, GMU Fall, 2011

Ordinary Differential Equations

Math 677, GMU Fall, 2011

Honors Integral Calculus

Math 116, GMU Spring, 2012

Applied Math

Math 314, GMU Spring, 2012

Partial Differential Equations

Math 478, GMU Summer, 2012

Honors Integral Calculus

Math 116, GMU Spring, 2013

Dynamical Systems

Math 673, GMU Spring, 2013

Partial Differential Equations

Math 478, GMU Summer, 2013

Linear Analysis

Math 675, GMU Fall, 2013

Honors Integral Calculus

Math 116, GMU Spring, 2014

Modern Applied Mathematics II

Math 414, GMU Spring, 2014

Honors Integral Calculus

Math 116, GMU Spring, 2015

Multivariable Calculus

Math 213, GMU Spring, 2015

Partial Differential Equations

Math 478, GMU Fall, 2015

Linear Analysis

Math 675, GMU Fall, 2015

Integral Calculus

Math 114, GMU Spring, 2016

Mathematics Through 3D Printing

Math 493, GMU Spring, 2016

Multivariable Calculus

Math 213, GMU Fall, 2016

Ordinary Differential Equations

Math 677, GMU Fall, 2016

Elementary Differential Equations

Math 214, GMU Spring, 2017

Modern Applied Math

Math 414, GMU Spring, 2017

Elementary Differential Equations

Math 214, GMU Fall, 2017

Partial Differential Equations

Math 478, GMU Fall, 2017

Elementary Differential Equations

Math 214, GMU Spring, 2018

Elementary Differential Equations

Math 214, GMU Spring, 2019

Applied Math

Math 314, GMU Spring, 2019

Elementary Differential Equations

Math 214, GMU Fall, 2019

Mathematics Through 3D Printing

Math 401, GMU Fall, 2019

Multivariable Calculus

Math 213, GMU Spring, 2020

Measure and Integration

Math 776, GMU Spring, 2020

Mathematics Through 3D Printing

Math 401, GMU Fall, 2020

Linear Analysis

Math 675, GMU Fall, 2020

Numerical Analysis

Math 446, GMU Spring, 2021

Numerical Analysis II

Math 447, GMU Spring, 2021

Mathematics Through 3D Printing

Math 401, GMU Fall, 2021

Numerical Analysis

Math 446, GMU Fall, 2021

Graduate Seminar

Math 795, GMU Fall, 2021

Launchpad Program for Incoming Grad Students

Math 701, GMU Summer, 2022

Mathematics Through 3D Printing

Math 401, GMU Fall, 2022

Partial Differential Equations

Math 478, GMU Fall, 2022

Graduate Seminar

Math 795, GMU Fall, 2022

Nonlinear Functional Analysis

Math 784, GMU Spring, 2023

Mathematics Through 3D Printing

Math 401, GMU Fall, 2023

Graduate Seminar

Math 795, GMU Fall, 2023

Mathematics Through 3D Printing

Math 401, GMU Fall, 2024

Evelyn Sander

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