Doug Meade's Publications

Complete list of publications, including theses, technical reports, journal articles, conference submissions, and preprints.
  1. Overview of Maplets for Calculus 1.3, in preparation, 13 pgs,
    draft available at

  2. Getting Started with Maple, Third Edition, Wiley, 2009, ISBN 978-0-470-45554-8 (x+208 pp.), with Michael May, S.J., C-K. Cheung, G.E. Keough.
    The book's webpage at Wiley is; worksheets to accompany the chapters for both Maple 12 and 13 are available. An errata list will be established as soon as the first error is found.

  3. Instructor's Maple Manual to Accompany Linear Algebra and Its Applications, Supplement for Lay Linear Algebra, Updated Third Edition, Addison Wesley Longman, 2008, ISBN 0-321-38886-0 (vi+79 pp.).
    Instructions for obtaining the laylinalg package for Maple 10 (or newer).

  4. Maplets for Calculus, version 1.3, with Philip B. Yasskin, available through MapleConnect.
    A collection of Maple-based applets for use by students and instructors of single-variable calculus.
    (Version History: v 1.0 - September 2005 (~30 maplets); v 1.1 - January 2006 (40 maplets); v 1.2 - December 2006 (94 maplets) v 1.3 - July 2010 (129 maplets))
    Tranlations of 5 maplets into 9 languages can be found at
    A collection of 16 maplets has been made available for free. To access these 16 maplets, please visit

  5. Analytic, Geometric, and Numeric Analysis of the Shrinking Circle and Sphere Problems [PDF], [PDF (Spanish)], with Wei-Chi Yang,
    Electronic Journal of Mathematics and Technology, ISSN 1933-2823, vol 1 issue 1, pp 40-54, February 2007.
    Electronic supplements to this paper are available at the URL or

  6. Instructor's Maple Manual to Accompany Linear Algebra and Its Applications, Supplement for Lay Linear Algebra, Updated Third Edition, Addison Wesley Longman, 2006, ISBN 0-321-28064-4 (vi+72 pp.).

  7. Irreducibility Testing of Lacunary 0,1 Polynomials, with Michael Filaseta, Journal of Algorithms, 55(1) 2005, pp. 21-28.
    [PDF] [Science Direct] (This paper is also available in the IMI Preprint Series as publication 01:06.)
    A CGI-based Maple implementation of the results of this paper can be found at A Maplet interface to the algorithm can be found at The algorithm is also implemented in a Maple worksheet, with embedded components to simlplify the interface. This worksheet can be obtained at the URL:

  8. Maple and Its Role in the Development of a Mathematician, in Proceedings of the 2004 Maple Summer Workshop, Wilfred Laurier University, Waterloo, Ontario, Canada (July 2004), Robert Lopez, ed. Electronic distribution by Waterloo Maple Inc.

  9. Calculus I with Maple in Blackboard, is an essentially self-contained online Calculus I course similar to the one currently taught at the University of South Carolina. The main content of the course is presented via Maple 8 worksheets (or their static HTML equivalents). Maplets enhance the interactive nature of the course. (For students without local access to Maple, all Maplets are available remotely via MapleNet (demo site). Practice sessions, homework assignments, quizzes, and exams are administered using MapleTA (2003).

  10. Maple 8 and Maplets: A New Use of Computer Algebra for Teaching Mathematics and Science, in Electronic Proceedings of Borough of Manhattan Community College's Leadership Series: Using Technology to Teach Mathematics and Science, 2002; available online at

  11. ODE PowerTool, a publicly available collection of 35 Maple worksheets for use in an introductory course in differential equations; Maple worksheets for Maple 7 and Maple 6 can be obtained at (2001). Updated to Maple 8 and Maple 9 (2003). Updated to Maple 9.5 (2004).

  12. Instructor's Maple Manual to Accompany Linear Algebra and Its Applications, Supplement for Lay Linear Algebra, Third Edition, Addison Wesley Longman, 2006, ISBN 0-321-12219-4 (vi+72 pp.).

  13. Maple Technology Resource Manual, to accompany Johnson, Reiss, and Arnold's Introduction to Linear Algebra, Fifth Edition, Addison Wesly Longman, 2002, ISBN 0-201-65859-3 (iv+17 pp.).

  14. Instructor's Maple Manual to Accompany Linear Algebra and Its Applications, Supplement for Lay Linear Algebra, Updated Second Edition, Addison Wesley Longman, 2000, ISBN 0-201-64849-0 (56 pp.).

  15. Notes for the Maple Computer Algebra System, Appendix to Study Guide for Lay Linear Algebra, Updated Second Edition, Addison Wesley Longman, 2000, ISBN 0-201-64847-4 (18 pp.).

  16. Differential Equations in the New Millenium: The Parachute Problem, with Allan A. Struthers, Int J Engng Ed 15(6) 1999, pp. 417--424.
    (The Maple 6 worksheet used to develop the results in this paper can be found in the Maple Application Center. An HTML version of the worksheet is also available.)
    E-mail questions about the supplements to or

  17. Strategies and Guidelines for Using a Computer Algebra System in the Classroom, with G. Donald Allen, Jim Herod, Mark Holmes, Vince Ervin, Robert Lopez, Joe Marlin, and David Sanchez, Int J Engng Ed 15(6) 1999, pp. 411--416.

  18. Second-Order Transmission Conditions for the Helmholtz Equation, with Jim Douglas, Jr., in Ninth International Conference on Domain Decomposition Methods, P. Bjorstad, M. Espedal, D. Keyes (eds.), Domain Decomposition Press, Bergen (Norway), 1998, pp. 434--440.
    [PDF] [PostScript]

  19. ODE Models for the Parachute Problem, SIAM Review 40(2) June 1998, pp. 327--332.
    [SIAM journals online]

  20. Engineer's Toolkit: Maple V for Engineers, with Etan Bourkoff, Addison-Wesley, 1998, ISBN 0-8053-6445-5.

  21. Maple and the Parachute Problem: Modelling with an Impact, MapleTech, v. 4, no. 1, 1997, pp. 68-76.
    [PDF] [PostScript]
    (Maple worksheets for Release 3, Release 4, and Release 5.1 can be downloaded; or contact the author by e-mail).

  22. Maple-Based Instructor's Guide for Introductory Differential Equations with Sample Worksheets and Projects: A Supplement to ``Fundamentals of Differential Equations'', by Nagle & Saff, Addison-Wesley, 1996, ISBN 0-201-96429-5 (iv + 142 pp.) The URL for downloading Maple worksheets and PostScript files is

  23. The shooting technique for the solution of two-point boundary value problems, with B. S. Haran and R. E. White, MapleTech, v. 3, no. 1, 1996, pp. 85-93.
    [PDF] [PostScript]
    The three examples from this paper can be run using the Shoot-demo13 worksheet, prepared for Maple 13 in September 2009. To use this worksheet, simply download Shoot.ind and Shoot.lib to the lib folder for your copy of Maple. (If you cannot copy files to this folder, create a new folder and add this folder to Maple's libname.)
    An update of these materials for Maple 10 was prepared in February 2006. The ZIP archive containing the Shoot module can be found at
    A slightly modified Maple 9.5 worksheet is available from the Maple Application Center.
    The examples from the original paper can be downloaded as a Maple 9.5 worksheet from (standard) or (classic).
    The full worksheet, saved as an HTML file, is available at
    Questions about the Maple source for shoot should be made by e-mail.

  24. Comparison of two-dimensional conformal local radiation boundary conditions, with Bernd Lichtenberg, Andrew F. Peterson, and Kevin J. Webb, Electromagnetics, v. 16, 1996, pp. 359-384.
    [PDF] [PostScript]

  25. Derivation and comparison of radiation boundary conditions for the two-dimensional Helmholtz equation with non-circular artificial boundaries, with C. Piellusch-Castle and A. F. Peterson, in Proceedings of the Third International Conference on Mathematical and Numerical Aspects of Wave Propagation Phenomena, E. Becache, G. Cohen, P. Joly, J. E. Roberts (eds), SIAM Proceedings in Applied Mathematics 77, Mandelieu-La Napoule, France, 1995, pp. 506-514.
    [PDF] [PostScript]

  26. Numerical, graphical and symbolic analysis of Bernoulli equations, MapleTech, v. 2, no. 1, 1995, pp. 67-77.
    [PDF] [PostScript]

  27. Numerical implementation of a conformable two-dimensional radiation boundary condition, with B. Lichtenberg, J. Reynolds, K. J. Webb, and A. F. Peterson, to appear in Purdue ECE Technical Report Series, 1995.
    [PDF] [PostScript]

  28. Comparison of local radiation boundary conditions for the scalar Helmholtz equation with general boundary shapes, with Andrew F. Peterson, G. William Slade, and Kevin J. Webb, IEEE Trans. on Antennas and Propagation, (43) 1995, pp. 6-10.
    [PDF] [PostScript]

  29. Applications and performance of a local conformal radiation boundary condition, with B. Lichtenberg, Y.-S. Liu, J. Reynolds, and K. Webb, in IEEE Antennas and Propagation Society International Symposium, 1994 Digest, pp. 406-409.

  30. A comparison of radiation boundary condition strategies for Helmholtz equations, with C. Piellusch-Castle, Y.-S. Liu, B. Lichtenberg, K. J. Webb, in Proceedings of the Fourteenth IMACS World Congress on Computation and Applied Mathematics, Atlanta, GA, pp. 886-889, July 1994.
    [PDF] [PostScript]

  31. User's Manual and Programmer's Guide for WV , Version 1.0, 1994 (internal software documentation).

  32. Maple tools for use in conjecture testing and iteration mappings in number theory, with C. A. Nicol, IMI Research Report 1993:06 (Department of Mathematics, University of South Carolina), 1993.
    [PDF] [PostScript]

  33. S-I-R epidemic models with directed diffusion, with F. A. Milner, in Mathematical Aspects of Human Diseases, Giuseppe Da Prato (ed.), Applied Mathematics Monographs 3, Giardini Editori, Pisa, 1992.
    [PDF] [PostScript]

  34. Qualitative analysis of an epidemic model with directed dispersion, IMA Preprint Series, #916, 1992.
    [PDF] [PostScript]

  35. Analytic evaluation of the accuracy of several conformable local absorbing boundary conditions, with Andrew F. Peterson, G. William Slade, and Kevin J. Webb, in IEEE Antennas and Propagation Society International Symposium, 1992 Digest, Volume 1, pp. 540-543.

  36. An S-I-R model for epidemics with diffusion to avoid infection and overcrowding, with F. A. Milner, in Proceedings of the 13th IMACS World Congress on Computation and Applied Mathematics (v. 3), R. Vichnevetshy, J. J. H. Miller, eds., IMACS, Dublin, 1991, pp. 1444-1445.

  37. Applications of generalized stress in elastodynamics, Quart. Appl. Math., (49) 1991, pp. 121-145.

  38. Analysis for an epidemic model with diffusion to avoid infection, Technical Report #140, Center for Applied Mathematics, Purdue University, 1990.

  39. An epidemic model with directed diffusion, with R. C. MacCamy, in Biomedical Modelling and Simulation, J. Eisenfeld and D. S. Levine, eds., IMACS Ann. Comput. Appl. Math., 5, Paris, 1989, pp. 197-199.

  40. Interface problems in elastodynamics, Carnegie Mellon Univ., Ph.D. Thesis, 1989.

  41. Reaction-diffusion models, Carnegie Mellon Univ., M.S. Thesis, 1986.

Please send comments, questions, and corrections to Doug Meade.