Karsten Knuver | MCubed Scholars
Karsten Knuver, Yun-Lu Sun, Ingrid Bergin, Mohamed Ali H. Jawad-Makki, Xudong Fan, Muhammad N. Aslam.
Theoretical and Computational Methods of the Integral
Meg Wynne | MCubed Scholars
Meg Wynne, Robert Krasny
The Fundamental Theorem of Calculus is one of the crowning achievements in mathematics and other scientific disciplines. The theorem yielded one of the most important ideas of modern math – the evaluation of the integral using antiderivatives. In my summer research I study two sides of the integral – the theoretical component as well as the computational and numerical methods that allow for its implementation into applied mathematics as well as other fields. When studying the theoretical side we can start to find relationships between finite sums and certain functions, which gives us information on the rules surrounding the integration methods of certain functions.