Category: Mathematics
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Predicting Next Day Stock Price Direction
By Belen Telahun Faculty Mentor: Melody Denhere Abstract This study examines whether the tone of financial news can predict the next-day return direction of large-cap technology stocks, specifically focusing on Meta Platforms, NVIDIA, and Intel. The primary objective is to determine if sentiment extracted from news offers additional predictive value beyond standard market indicators. The…
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Modeling Bitcoin Dynamics Using Differential Equations
By Boone Fleenor Faculty Mentor: Leo Lee Abstract In this thesis, we develop and analyze two nonlinear systems of ordinary differential equations to model Bitcoin price dynamics. Analytical techniques are used to obtain exact or approximate solutions where possible. Then, numerical simulations using a fourth-order Runge–Kutta method are employed to explore system behavior beyond analytically…
