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Runge-Kutta Algorithm and Assessment

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Conference

2019 ASEE Annual Conference & Exposition

Location

Tampa, Florida

Publication Date

June 15, 2019

Start Date

June 15, 2019

End Date

June 19, 2019

Conference Session

Computing Research II

Tagged Division

Computing and Information Technology

Page Count

20

Permanent URL

https://peer.asee.org/31915

Download Count

6

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Paper Authors

biography

Mysore Narayanan Miami University

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DR. MYSORE NARAYANAN obtained his Ph.D. from the University of Liverpool, England in the area of Electrical and Electronic Engineering. He joined Miami University in 1980 and teaches a wide variety of electrical, electronic and mechanical engineering courses. He has been invited to contribute articles to several encyclopedias and has published and presented dozens of papers at local, regional , national and international conferences. He has also designed, developed, organized and chaired several conferences for Miami University and conference sessions for a variety of organizations. He is a senior member of IEEE and is a member of ASME, SIAM, ASEE and AGU. He is actively involved in CELT activities and regularly participates and presents at the Lilly Conference. He has been the recipient of several Faculty Learning Community awards. He is also very active in assessment activities and has presented more than thirty five papers at various Assessment Institutes. His posters in the areas of Assessment, Bloom’s Taxonomy and Socratic Inquisition have received widespread acclaim from several scholars in the area of Cognitive Science and Educational Methodologies. He has received the Assessment of Critical Thinking Award twice and is currently working towards incorporating writing assignments that enhance students’ critical thinking capabilities.

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Abstract

In this paper, the author stresses the importance of certain sophisticated mathematical techniques that undergraduate students utilize to analyze and solve a certain specific engineering problem such as the design of a Suspension Bridge or the construction of a High Voltage Transmission Tower. The importance of a fourth order Runge Kutta Algorithm technique, the need for Newton Raphson Method and the properties of a Catenary Curve are stressed in this senior level engineering technology course. The Runge Kutta technique is utilized to solve a design problem in Hydrology and Fluid Mechanics as well. The importance of Hyperbolic Functions is stressed in Catenary Curve Calculations. Once the foundation has been established, the students can be provided with rigorous analytical methods concerning the mathematical aspects of Fourier Series, Fourier Integral, Fourier Transform, Laplace Transform, Numerical Analysis, Regression Analysis etc. However, in this paper, the author mainly focuses on student learning accomplishments in the area of Advanced Engineering Mathematics. He also analyzes and documents assessment data that he has collected.

Narayanan, M. (2019, June), Runge-Kutta Algorithm and Assessment Paper presented at 2019 ASEE Annual Conference & Exposition , Tampa, Florida. https://peer.asee.org/31915

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