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ThesisDozal, Jared MichaelThis graduate project is submitted in partial fulfillment of the requirements for the degree of Master of Science in Mathematics for Educational Careers. It is a compilation of five projects, each focusing on different fields of mathematics relevant t . . .

ThesisMabe, NicholasIn this work I propose several numerical algorithms to calculate the steady state solutions of the SaintVenant equations, a hyperbolic balance law commonly used to model shallow water flows. The main focus is on twolayer stratified flows distinguish . . .

ThesisRudin, Brenda I.This thesis is a study of "La geometria elementare istitutta sulle nozioni di 'punto' e 'sfera'" (Elementary geometry instituted on the notions of "point" and "sphere") by the Italian geometer Mario Pieri ( 1860 1913). It focuses on the importance of . . .

ThesisWei, YunAs a typical model to represent nonlinear pulse propagation, the complex GinzburgLandau equation (CGLE) with linear and nonlinear gain or loss possesses solitary wave, hole wave and shock wavesolutions. In this thesis, we investigate the existence . . .

ThesisSteidly, Carl W.This is a syllabus for a onesemester, eleventh grade, advanced mathematics course. Motivation for mathematics rigor is advocated by an emphasis on application and problem solving through the use of various mathematical models.

ThesisKaspar, HansThe transient solution of a parking lot problem with a finite number of parking spaces is considered when, in a given time interval, the number of cars arriving are Poisson distributed with identical parameters. If the parking lot is full, all arrivin . . .

ThesisHamilton, Ann EstherNonstandard analysis was developed by Abraham Robinson in 1961. It offers a new number system which can serve as an alternative to the real numbers. This new system, called R*, is an ordered field containing numbers larger and numbers smaller than an . . .

ThesisThomassin, Steven L.In late October of 1972, my father confronted me with a piece of paper containing a square grid of 64 cells (8X8) followed by the directions: "Take a pencil and darken eight of these 64 squares, making sure that no darkened square is on the same horiz . . .

ThesisBarbullushi, IngridThe Macroscopic Vicsek (MV) model describes a largescale limit of selfpropelled particle systems used to describe behavior in animal societies such as fish school or bird flocks. From a mathematical point of view the MV model presents a number of ch . . .

ThesisLiu, JunyuThe present work investigates the Korteweg de Vries equation, nonlinear Schrödinger equation (NLSE), Hirota equation, coupled Hirota equations, and the (2+1)dimensional fourthorder NLSE. The latter equation describes a Heisenbergferromagnetic spin . . .