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Full-Text Articles in Physical Sciences and Mathematics
A Hike Through The Forest: The Knapsack Problem In Graph Theory, Bridget K. Druken
A Hike Through The Forest: The Knapsack Problem In Graph Theory, Bridget K. Druken
Senior Honors Projects
Graph theory is a branch of mathematics which studies graphs a collection of a set of edges and vertices used to sometimes model structures. My interest in graph theory began last semester in a math/computer science course entitled “Discrete Structures." One aspect which makes graph theory an appealing area to research is the amount of understanding that comes from a relatively short amount of time spent learning the subject material. The visual appeal of being able to draw a graph along practical applications that surface daily make graph theory a prime candidate for further research. Through research of the history …
Differential Equations: A Universal Language, Bethany Caron
Differential Equations: A Universal Language, Bethany Caron
Senior Honors Projects
“Mathematics knows no races or geographic boundaries; for mathematics, the cultural world is one country.” – David Hilbert Differential equations are equations of one or more variables that involve both functions and their derivatives. These equations have many applications to the everyday “non-math” world, including modeling in engineering, physics, biology, chemistry, and economics. Differential equations are used when a situation arises where one needs to study a continuously changing quantity (expressed as a function) and its rate of change (expressed through its derivatives). The solutions to differential equations are functions that make the original equation hold true, and they can …