Class Central is learner-supported. When you buy through links on our site, we may earn an affiliate commission.

YouTube

Tangent Lines and Conics of Polynomials - Math Foundations 71

Insights into Mathematics via YouTube

Overview

Explore tangent lines and conics of polynomials through a simplified high school approach using polynumbers and bipolynumbers in this 36-minute mathematics lecture. Begin by defining constant, linear, quadratic, cubic, quartic, and quintic polynumbers based on their degree. Discover subtle shifts in the Taylor bipolynumber to find polynomial Taylor expansions at a point c, and use this knowledge to define first, second, and subsequent tangents. Learn how these concepts are applied to compute polynomial value approximations. Delve into topics such as truncating polynumbers, defining tangents at various points, using translation for additional tangents, and performing approximate evaluations. Conclude with an exploration of Taylor expansions and a practical exercise to reinforce your understanding.

Syllabus

Intro to tangent lines and conics
Truncating a polynumber
Defining tangents at other points/values
Using translation to get more tangents
Approximate evaluations
More approximate evaluations
Taylor expansions
Exercise

Taught by

Insights into Mathematics

Reviews

Start your review of Tangent Lines and Conics of Polynomials - Math Foundations 71

Never Stop Learning.

Get personalized course recommendations, track subjects and courses with reminders, and more.

Someone learning on their laptop while sitting on the floor.