Open Access. Powered by Scholars. Published by Universities.®

Physical Sciences and Mathematics Commons

Open Access. Powered by Scholars. Published by Universities.®

Articles 1 - 6 of 6

Full-Text Articles in Physical Sciences and Mathematics

Generalized Mandelbrot Sets, Aaron Schlenker May 2014

Generalized Mandelbrot Sets, Aaron Schlenker

Undergraduate Honors Thesis Collection

A complex point Z0 is defined to be a member of the famous Mandelbrot set fractal when the iterative process using the function Z2 stays bounded when applied to Z0. We investigate what happens if we change the iterative process so that Z2 is now composed with, for example, a Mobius transformation, indexed on a parameter a. The Mandelbrot set corresponds to a = O. What happens when we change a = 0 to other values, repeating the iterative process and then drawing the sets? Do these Generalized Mandelbrot sets have similar properties to …


Synthesis And Resolution Of A Substituted Dioxolane From Glycerol, Susannah Dawn Cox May 2014

Synthesis And Resolution Of A Substituted Dioxolane From Glycerol, Susannah Dawn Cox

Undergraduate Honors Thesis Collection

Glycerol (Figure 1) is one of the major byproducts in the manufacturing of biofuels. As the interest in biodiesel grows, production of glycerol will also increase. Investigating glycerol's potential as a chemical feedstock could lead to the discovery of new uses for this byproduct created from biofuel production. By developing pathways to use glycerol as a starting material and as a solvent we will be able to synthesize other chemically relevant compounds.


Suzuki-Miyaura Reactions Are Used To Synthesize Z-Alkenes From Cyclic Boronic Half-Acids, Daniel Lee French May 2014

Suzuki-Miyaura Reactions Are Used To Synthesize Z-Alkenes From Cyclic Boronic Half-Acids, Daniel Lee French

Undergraduate Honors Thesis Collection

Cis-Alkenes provide the basic structure and reactivity for a variety of compounds, from the common chemicals found in any organic laboratory to advanced drugs used to treat cancer or suppress the immune system (Littke & Fu, 2002). Synthetically, alkenes are also of use in that they serve as a site for further chemistry. Historically, Z-alkenes have been more difficult to synthesize than their E-counterparts (McNulty et al., 2010; Siau, Zhang, & Zhao, 2012). Furthermore, in many reactions, a mixture of E- and Z- conformations of the alkene is produced. Such differences may seem trivial upon first inspection, but because there …


A Three-Part Study In The Connections Between Music And Mathematics, Molly Elizabeth Anderson May 2014

A Three-Part Study In The Connections Between Music And Mathematics, Molly Elizabeth Anderson

Undergraduate Honors Thesis Collection

The idea for this thesis originated from my fascination with the studies of both music and mathematics throughout my entire life. As a triple major in Middle/Secondary Math Education, Mathematics, and Music, I have learned more than I thought possible of music and math. In proposing this thesis, I desired to use my knowledge of arithmetic and aesthetics to research how music and mathematics are intertwined. I am confident that the following three chapters have allowed me to develop as an academic in both music and mathematics. This thesis serves as a presentation of the connections of music and math …


Amino Acid Methyl Ester Chiral Ionic Liquids: A Concentration Study, Christopher J. Brown May 2014

Amino Acid Methyl Ester Chiral Ionic Liquids: A Concentration Study, Christopher J. Brown

Undergraduate Honors Thesis Collection

This project will investigate novel amino acid methyl ester chiral ionic liquids and determine how increased concentration of lanthanide solute and changes in size of counter ions tetramethylammonium and tetrabutylammonium affects interaction between the ionic liquid and the fluorescent lanthanide solute. Both concentration dependence and temperature dependence were discovered. The chiral ionic liquid [L-prolineCl][TfiN] reacted uniquely to the change in concentration.


Thermal Denaturation Of Mycobacterium Tuberculosis Protein Rv0045c Monitored By Intrinsic Tryptophan Fluorescence, Lindsey Renee Drake Mar 2014

Thermal Denaturation Of Mycobacterium Tuberculosis Protein Rv0045c Monitored By Intrinsic Tryptophan Fluorescence, Lindsey Renee Drake

Undergraduate Honors Thesis Collection

The aim of my project was to use intrinsic tryptophan fluorescence to monitor the denaturation pathway of a protein, specifically the Mycobacterium tuberculosis enzyme Rv0045c. The larger scientific goal and inspiration for this honors thesis was to use the amino acid residues of a protein to map it's unfolding by thermal denaturation.