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Physical Sciences and Mathematics

WWU Honors College Senior Projects

2020

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Full-Text Articles in Education

Nimbleknow User Documentation, Camille Estee Ottaway Apr 2020

Nimbleknow User Documentation, Camille Estee Ottaway

WWU Honors College Senior Projects

NimbleKnow User Documentation is an Honors Project by Camille Ottaway

NimbleKnow is a simple web application that teachers can use to pose questions which students can then answer using their basic smartphones or tablets. In order to accommodate ESL learners our application includes translation features. Having a user-friendly classroom technology can promote more engagement and collaboration between students and faculty alike in a classroom environment.


Conformal Geometry Of Polygons, Michael Albert Jan 2020

Conformal Geometry Of Polygons, Michael Albert

WWU Honors College Senior Projects

Conformal maps are functions from subsets of the complex plane to the complex plane that locally preserve angles. Our goal is to understand conformal maps that pass to and from polygonal domains. In order to do so, we derive some of the basic theory of harmonic functions on simply connected domains. In particular, our goal with the first few sections is to prove the Schwarz Reflection principle. Using this, as well as other tools from complex analysis, we give an in-depth explanation of Tao’s proof of the Schwarz-Christoffel formula. This is a differential equation that allows one to compute a …