First and Last Name/s of Presenters

Chelsea ThakkarFollow

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

Course Name and Number, Professor Name

MA-152B

Location

Digital Commons

Start Day/Time

4-24-2020 2:00 PM

End Day/Time

4-24-2020 4:00 PM

Students' Information

Chelsea Thakkar , Computer Science major with a Mathematics minor, Class of 2023, Honors student.

Winner, Most Creative 2020 award.

Comments

Attached additional file includes a narrated presentation of the poster.

Chelsea's presentation (1).pptx (4152 kB)
The presentation of the poster with the Voiceover

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Apr 24th, 2:00 PM Apr 24th, 4:00 PM

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.

 

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