WSEAS Transactions on Advances in Engineering Education


Print ISSN: 1790-1979
E-ISSN: 2224-3410

Volume 15, 2018

Notice: As of 2014 and for the forthcoming years, the publication frequency/periodicity of WSEAS Journals is adapted to the 'continuously updated' model. What this means is that instead of being separated into issues, new papers will be added on a continuous basis, allowing a more regular flow and shorter publication times. The papers will appear in reverse order, therefore the most recent one will be on top.


A Research-Based Pedagogical Approach to Introduction to Differential Equations for Undergraduate Students at an American Two-Year College

AUTHORS: John A. Gordon, Majid Haghverdi, Johathan Martinez, Yang He, Yanyan Chen

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ABSTRACT: Undergraduate students pursuing degrees in STEM (Science, Technology, Engineering, and Mathematics) at two-year colleges in the United States are usually required to take an introductory course in ordinary differential equation. The pedagogical strategy in most cases has been based primarily on presenting various standard techniques used in solving differential equations. This approach involves very little student research. The Mathematics Department at Queensborough Community College (QCC) has adopted a new student researchbased approach to its introductory course in ordinary differential equations. In this approach students learn very early in the course to apply technology and research techniques to solve real-world problems. This paper presents some of the student research and our preliminary findings.

KEYWORDS: Auxiliary equations, integrating factor, first-order, eigenvalues, homogeneous equation, nonhomogeneous equation, linear system, research-based

REFERENCES:

[1] https://en.wikipedia.org/wiki/Community college.

[2] R. Kent Nagle, Edward B. Saft, Arthur David Snider, Fundamentals of Differential Equations, Addison–Wesley Publishers, 9th Edition

[3] Earl D. Rainville, Philip E. Bedient, Richard E. Bedient, Elementary Differential Equations, Prentice Hall Publishing Co., Inc.

[4] D. D. Ho et al., “Rapid Turnover of Plasma Virions and CD4 Lymphocytes in HIV-1 Infection,” Nature, 1995

[5] Dynamics of HIV Infection, Courtesy of Glenn Webb, Vanderbilt University G. M. Shaw et al., “Viral Dynamics in Human Immunodeficiency Virus Type I Infection,” Nature, 1995

[6] Quantifying Residual HIV-1 Replication in Patients Receiving Combination Anti-retroviral Therapy. Zhang LQ, Ramratnam B, Tenner-Racz K, He YX, Vesanen M, Lewin S, Talal A, Racz P, Perelson AS, Korber BT, Markowitz M, and Ho DD. New England Journal of Medicine 340:1605– 1613, 1999.

[7] The Decay of the Latent Reservoir of ReplicationCompetent HIV-1 is Inversely Correlated with the Extent of Residual Viral Replication During Prolonged Anti-retroviral Therapy. Ramratnam B, Mittler JE, Zhang LQ, Boden D, Hurley A, Fang F, Macken CA, Perelson AS, Markowitz M, and Ho DD. Nature Medicine 6:82–85, 2000

WSEAS Transactions on Advances in Engineering Education, ISSN / E-ISSN: 1790-1979 / 2224-3410, Volume 15, 2018, Art. #3, pp. 16-25


Copyright © 2018 Author(s) retain the copyright of this article. This article is published under the terms of the Creative Commons Attribution License 4.0

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