Ryan Bastian Added to OhioLINK Electronic Theses and Dissertations Center

Congratulations to Ryan Bastian, whose thesis has been added to the OhioLINK Electronic Theses & Dissertations Center.  Ryan's is the 27th Ashland University Honors Thesis to join the more than 90,000 dissertations and theses in the OhioLINK ETD Center.

 

Ryan Bastian presented a work entitled, An Introduction to the Generalized Riemann Integral and its Role in the Undergraduate Mathematics Education. “The Riemann integral is often introduced to undergraduate calculus students, as its definition and related theorems are relatively straightforward to understand. However, the Riemann integral is limited in its power to integrate a wide variety of functions. …As a result, an alternate definition of the integral, known as the generalized Riemann integral, can be introduced to fix some of these defects.” Ryan Bastian’s objective was to present both the background and the definition of the Riemann and generalized Riemann integrals. As well as, show how the generalized Riemann integral can be used to integrate pathological functions, such as the one introduced by Dirichlet. Ryan Bastian graduated May 2017, where he was recognized as co-valedictorian. He was a double major of Integrated Mathematics Education and Mathematics. His URCA Faculty sponsor was Dr. Darren Wick a Mathematics professor.