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Senior Lazar Nikolic will share some results from his senior honors thesis in a presentation entitled “The Generalized Riemann Integral: Integration the Way It Oughta’ Be” noon tomorrow in Pardee Hall room 227.
The talk is part of the Mathematical Adventures and Diversions series sponsored by the math department. Free lunch will be provided.
“The Generalized Riemann Integral extends the set of integrable functions, has desirable convergence properties, and satisfies a strong fundamental theorem of calculus,” says Nikolic. “Furthermore, we can accomplish all of this without a lot of theoretical complexity. Examples will be used to show how to compute values of this more general integral and to demonstrate some of its properties.”
Nikolic was part of a team of students that finished second in the 13th annual Lehigh Valley Association of Independent Colleges Math Contest last semester (see related story). Overall, Lafayette fielded the winning student team for the third consecutive year, sweeping the top three places, and four of the top five overall.
He also was a member of a group that tied for second in Lafayette’s Team Barge Mathematics Competition last fall, splitting a $750 prize (see related story). Nikolic and two teammates also finished second the prior semester.
He received the inaugural James P. Schwar Prize, given to a student for EXCEL Scholars summer research. He worked with Chun Wai Liew, assistant professor of computer science, to enhance and improve computer-based tutoring systems (see related story).
Last school year, for the third straight time, he was part of a student team that earned the second-highest rating in the annual Mathematical Contest in Modeling, an international competition sponsored by the Consortium for Mathematics and its Applications (see related story).
In a groundbreaking project that will help social agencies analyze data and apply for grant applications, Nikolic and three other computer science majors developed an online database last semester to chart risk factors and their consequences on the community for Northampton County Communities That Care, an organization that serves local elementary and secondary students (see related story).
Mathematical Adventures and Diversions talks are on mathematical topics and applications often not encountered in mathematics courses. They are open to the Lafayette community and assume no special mathematical preparation on the part of the audience.
Other MAAD talks this semester have included: