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Articles 1 - 11 of 11
Full-Text Articles in Physical Sciences and Mathematics
Review Of The Joy Of X: A Guided Tour Of Math, From One To Infinity By Steven Strogatz, Michael T. Catalano
Review Of The Joy Of X: A Guided Tour Of Math, From One To Infinity By Steven Strogatz, Michael T. Catalano
Numeracy
Strogatz, Steven. The Joy of x: A Guided Tour of Math, from One to Infinity, (New York, NY, Houghton Mifflin Harcourt, 2012). 316 pp. ISBN 978-0-547-51765-0
The Joy of x: A Guided Tour of Math, from One to Infinity, by Steven Strogatz, is an engaging and example-filled argument for mathematics as a valuable and enjoyable activity. The thirty chapters are divided into six parts, entitled Numbers, Relationships, Shapes, Change, Data, and Frontiers. The discussion ranges from intuitive explanations of basic concepts such as place value, the four arithmetic operations, percentage increase and decrease, and solving equations, to “higher” levels …
How Does One Design Or Evaluate A Course In Quantitative Reasoning?, Bernard L. Madison
How Does One Design Or Evaluate A Course In Quantitative Reasoning?, Bernard L. Madison
Numeracy
In the absence of generally accepted content standards and with little evidence on the learning for long-term retrieval and transfer, how does one design or evaluate a course in quantitative reasoning (QR)? This is a report on one way to do so. The subject QR course, which has college algebra as a prerequisite and has been taught for 8 years, is being modified slightly to be offered as an alternative to college algebra. One modification is adding a significant formal writing component. As the modification occurs, the current course and the modified one are judged according to six sets of …
A Sampling Of Popular Books For Numeracy Readers, Michael T. Catalano
A Sampling Of Popular Books For Numeracy Readers, Michael T. Catalano
Numeracy
Popular books on quantitative themes are seemingly more available than ever. In this book review, we look at five such books from a wide range of authors. Although the books are written for diverse audiences, all provide examples and discussion of concepts that could be used in courses with quantitative literacy objectives. The books are Guesstimation and Guesstimation 2.0 by Lawrence Weinstein and John A. Adam, and Weinstein, respectively; Turning Numbers into Knowledge: Mastering the Art of Problem Solving, by Jonathan G. Koomey; How to Measure Anything: Finding The Value of “Intangibles” in Business, by Douglas W. Hubbard; and …
Fukushima: A Model Study, Melinda Kathryn Mckell
Fukushima: A Model Study, Melinda Kathryn Mckell
Undergraduate Journal of Mathematical Modeling: One + Two
This article investigates the radiation dispersion modeling system available to Japanese authorities during the response phase of the Fukushima Dai-Ichi incident.
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.
Calculating The Solar Energy Of A Flat Plate Collector, Ariane Rosario
Calculating The Solar Energy Of A Flat Plate Collector, Ariane Rosario
Undergraduate Journal of Mathematical Modeling: One + Two
The amount of solar energy that could be obtained by a flat plate solar collector of one square meter dimension is calculated in three different locations: Tampa FL, Fairbanks AL, and Pontianak Indonesia, considering the varying sunset time for each day of the year. The results show that if the collectors are placed near the equator, more total energy could be obtained. In fact, by placing a solar collector in Pontianak, Indonesia 12.42% more solar energy can be obtained than by placing it in Tampa and 96.9% more solar energy than Alaska.
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.
Florida Sinkholes And Grout Injection Stabilization, Charles Hunt Griffith Ii
Florida Sinkholes And Grout Injection Stabilization, Charles Hunt Griffith Ii
Undergraduate Journal of Mathematical Modeling: One + Two
Florida has a major problem when it comes to sinkholes. These sinkholes can become very hazardous to people, homes, and to the landscape as a whole. Florida sits on a carbonate platform which is highly indicative of sinkholes. There are three main types of sinkholes which occur in Florida: dissolution, cover subsidence, and cover collapse. I will compare these types of sinkholes to the underlying formation beneath Florida to see if there is a connection between the types of sinkholes that occur. I will also create a 3D model of grout injection stabilization and calculate its volume to compare to …
Survival Analysis - Breast Cancer, Minh Hoang Pham
Survival Analysis - Breast Cancer, Minh Hoang Pham
Undergraduate Journal of Mathematical Modeling: One + Two
In this study we used the parametric survival approach to analyze the survival time of African American breast cancer patients. In research about the survival time of patients, the Cox Proportional Hazard model, a semi-parametric method, is primarily used, but this approach does not rely on the distributional assumptions. The parametric method is more consistent with a theoretical approach compared to a semi-parametric approach. We observe that the survival time of African American breast cancer patients follows the Weibull Probability Distribution. First, we fitted the model to represent the survival ability of the general population (African American women diagnosed with …
Modeling Rocket Flight In The Low-Friction Approximation, Logan White
Modeling Rocket Flight In The Low-Friction Approximation, Logan White
Undergraduate Journal of Mathematical Modeling: One + Two
In a realistic model for rocket dynamics, in the presence of atmospheric drag and altitude-dependent gravity, the exact kinematic equation cannot be integrated in closed form; even when neglecting friction, the exact solution is a combination of elliptic functions of Jacobi type, which are not easy to use in a computational sense. This project provides a precise analysis of the various terms in the full equation (such as gravity, drag, and exhaust momentum), and the numerical ranges for which various approximations are accurate to within 1%. The analysis leads to optimal approximations expressed through elementary functions, which can be implemented …