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Full-Text Articles in Mathematics
Comparative Analysis Of Gps Data, Kiel Von Lindenberg
Comparative Analysis Of Gps Data, Kiel Von Lindenberg
Undergraduate Journal of Mathematical Modeling: One + Two
The goal of this project is to calculate the distance traveled during a bike ride around the University of South Florida using information gathered by a GPS (Global Positioning System) application on a smartphone. We calculate the route distance in two ways: from latitudes and longitudes using the haversine formula and 2) from velocities and times using the trapezoidal rule. These computed distances were compared to the distance given by the smartphone application.
Voltage Smoothing With A Capacitor, Martin Copello
Voltage Smoothing With A Capacitor, Martin Copello
Undergraduate Journal of Mathematical Modeling: One + Two
A rectifier is an electrical circuit that converts alternating current to direct current, e.g., a half wave rectifier removes lower valleys of the AC voltage wave. If a capacitor is placed in parallel with a half wave rectifier, the transition from voltage peak to peak is smoothed to closer resemble constant DC voltage. The objective of this project was to model the voltage changes of a half wave rectifier with a parallel capacitor. It was found that the smoothness of the voltage waves increased as the capacitance of the capacitor increased.
Rocket Flight Path, Jamie Waters
Rocket Flight Path, Jamie Waters
Undergraduate Journal of Mathematical Modeling: One + Two
This project uses Newton’s Second Law of Motion, Euler’s method, basic physics, and basic calculus to model the flight path of a rocket. From this, one can find the height and velocity at any point from launch to the maximum altitude, or apogee. This can then be compared to the actual values to see if the method of estimation is a plausible. The rocket used for this project is modeled after Bullistic-1 which was launched by the Society of Aeronautics and Rocketry at the University of South Florida.