Using Precalculus to Derive the Taylor Polynomials of sin x ; JOHN QUINTANILLA (UNT) | Department of Mathematics

Using Precalculus to Derive the Taylor Polynomials of sin x ; JOHN QUINTANILLA (UNT)

Event Information
Event Location: 
GAB 461; 12-1 PM
Event Date: 
Friday, February 24, 2012 - 12:00pm

Speaker: JOHN QUINTANILLA (University of North Texas)

Title: Using Precalculus to Derive the Taylor Polynomials of sin x

Abstract: Taylor polynomials and Taylor series are arguably the most important topics taught in Calculus II that are used in both pure and applied mathematics. In this talk, we present a derivation of the Taylor polynomials of sin x using only ideas from Precalculus, giving these expansions a natural geometrical foundation. This talk will be accessible to any undergraduate who has completed Precalculus.