Mentor/s
Professor Jean Guillaume
Participation Type
Poster
Abstract
Part of understanding the global dynamics of mathematical models is to investigate the end behaviors (i.e. limits at infinity) of these models. As shown in almost every precalculus course, values of both exponential functions of the form ekx , k > 0, and polynomials with positive leading coefficient grow as their input values gets “arbitrarily large”. Motivated by these facts, we investigate how the growth of exponential functions compares to the growth of polynomials. In particular, we show that every function of the form ekx, for k > 0, eventually dominates every polynomial.
College and Major available
Computer Science & Engineering
Location
Digital Commons
Start Day/Time
4-24-2020 2:00 PM
End Day/Time
4-24-2020 4:00 PM
Comments
Attached additional file includes a narrated presentation of the poster.
Prize Categories
Most Scholarly Impact or Potential, Most Creative, Most Meaningful
The presentation of the poster with the Voiceover
In the Race Towards Infinity, Who Wins: Exponential or Polynomial?
Digital Commons
Part of understanding the global dynamics of mathematical models is to investigate the end behaviors (i.e. limits at infinity) of these models. As shown in almost every precalculus course, values of both exponential functions of the form ekx , k > 0, and polynomials with positive leading coefficient grow as their input values gets “arbitrarily large”. Motivated by these facts, we investigate how the growth of exponential functions compares to the growth of polynomials. In particular, we show that every function of the form ekx, for k > 0, eventually dominates every polynomial.
Students' Information
Chelsea Thakkar , Computer Science major with a Mathematics minor, Class of 2023, Honors student.
Winner, Most Creative 2020 award.