Lecture 17: Taylor Polynomials; Remainder Term; Riemann Integrals

Name: Lecture 17: Taylor Polynomials; Remainder Term; Riemann Integrals
Uploaded: 2025-09-02T14:18:31Z
Duration: 1 h 21 min 48 s
Description: We begin by estimating how close the Taylor expansion approximates a function. To do so means that we need to bound the remainder term. After that, we turn to constructing the Riemann integrals. Integrals play a key role in all of mathematics and were originally constructed to calculate areas of complicated figures.

1:21:48

We begin by estimating how close the Taylor expansion approximates a function. To do so means that we need to bound the remainder term. After that, we turn to constructing the Riemann integrals. Integrals play a key role in all of mathematics and were originally constructed to calculate areas of complicated figures.