College of Saint Benedict and Saint John's University
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Nonstandard Finite Difference Schemes for a Nonlinear World
No full textMany real-world phenomena tend to be modeled via nonlinear models. In the late 1980\u27s, Ronald Mickens of Clark Atlanta University introduced the concept of a nonstandard finite difference scheme (NSFD) as a methodology which would best approximate solutions to systems of nonlinear differential equations. This talk will show how to construct NSFD schemes for various nonlinear models, including the models for the spread of a disease models and the models for the infamous Tacoma Narrows Bridge.
Speaker biography:
Dr. Talitha Washington is an Associate Professor of Mathematics at Howard University. She attended Spelman College (BSc), and the University of Connecticut (MSc,PhD). She was a VIGRE post-doctoral research associate at Duke University, and held assistant professorships at The College of New Rochelle and University of Evansville. She is currently interested in the applications of differential equations to problems in biology and engineering, as well as the development of nonstandard finite difference schemes to numerically solve dynamical systems.
Dr. Washington is also interested in education policy, especially advocating best practices for underrepresented students in STEM. She has been awarded a prestigious appointment by the NSF as the Division of Undergraduate Education Program Director for the Improving Undergraduate STEM Education program. She received the 2019 BEYA STEM Innovator Award at the Black Engineer of the Year Awards Conference.
She serves on the Council of the American Mathematical Society and has previously served on the Executive Committee of the Association for Women in Mathematics. She is active in programs led by the Society for the Advancement of Chicanos/Hispanics and Native Americans in Science, Enhancing Diversity in Graduate Education, and Mathematical Biosciences Institute Research Experiences for Undergraduates. Dr. Washington has also taken up the cause of sharing the story of the previously unheralded, but vastly important, history of the first Black person to earn a PhD in mathematics (1925), Dr. Elbert Frank Cox. Her work has been shared on radio and television, often showing his mathematics that appears in the film Hidden Figures. Dr. Washington continues to be a motivational speaker who enjoys sharing her expertise on STEM diversity and applied mathematics to all audiences
Measuring Physiological Changes in Response to a Division III Collegiate Cross-Country Season
Get PDFHuman endurance performance is most commonly predicted from variables such as maximal oxygen consumption, lactate threshold, and running economy. Cross-country running success, specifically at the 6 km distance, depends on interactions of these physiological variables. Proper endurance training combines variations in running speed and distance with appropriate rest to stress the body and develop physiological adaptations. PURPOSE: The purpose of this study was to assess how physiological variables change over a competitive cross-country season in Division III female athletes. METHODS: Eleven female distance runners (Ht:162.89 ±7.46 cm; Wt: 58.22 ±8.91 kg; Body fat: 21.5 ±1.65 %; VO2Max: 47.84 ±3.62 ml/kg/min) performed a series of physiological laboratory tests at the start and end of a 10-12 week cross-country season. Testing included maximal oxygen uptake (VO2Max), blood lactate threshold, running economy, and a maximal vertical jump test. Paired samples t-tests were used to analyze differences in all variables and average race pace from pre-season to post-season (p \u3c 0.05). RESULTS: Lactate threshold as a percentage of VO2Max decreased significantly from pre-season (87.63 ±4.23 %) to post-season (85.35 ±3.93 %; t(10) = 2.44, p = .04). No significant changes were found from pre season to post season for all other physiological measurements including VO2Max (t(10) = .77, p = .46), running economy at steady state (t(10) = .80, p = .44), running economy at race pace (t(10) = .76, p = .46), and vertical jump (t(10) = 1.59, p = .15). Post-season average race pace (404.82 ±28.44 s) was not significantly faster than pre-season season (414.27 ±28.83 s; t(10) = 1.37, p = .20). CONCLUSION: Despite a decrease in race pace, 10-12 weeks of cross-country training does not induce significant physiological improvements in trained distance runners. The addition of high intensity and interval training to pre-season training volume likely increased anaerobic capacity in Division III cross-country runners
Impartial achievement games for generating nilpotent groups
Get PDFWe study an impartial game introduced by Anderson and Harary. The game is played by two players who alternately choose previously-unselected elements of a finite group. The first player who builds a generating set from the jointly-selected elements wins. We determine the nim-numbers of this game for finite groups of the form T×H, where T is a 2-group and H is a group of odd order. This includes all nilpotent and hence abelian groups
Beyond the Masculine: Liberating Gender through God-Talk
Get PDFWhat we imagine God to be is frequently dictated and moderated by the society that we live in and how we understand ourselves within that society. Cultural norms around the male naming of God have been forming since early Christianity. The adoption of the male metaphor as a literal interpretation of God took hold and is reflected now in biblical writing and interpretation. In my paper, I will employ Cynthia Enloe’s concept of “feminist curiosity” in conjunction with theology to explore different metaphors of God that move outside a patriarchal context. I hold that by imagining God outside of patriarchal and masculine models there will be more space for relationship with the Divine and for a more liberated view of gender. By giving God female and non-binary metaphors perhaps Christian society will become more open and willing to accept the inherent dignity and divinity of each person due to the imago dei, our creation in the image of God
Digital Pedagogy: Bright Global Futures
No full textPart of the Digital Technologies in the Humanities and Social Sciences Conference hosted by CSB/SJU Librarie