Runge-Kutta Algorithm and Assessment
Mysore Narayanan · 2020
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.