Super Awesome Calculus - Continuity & IVT - Lecture 2:4

Follow along with Super Awesome Calculus at:https://sites.google.com/site/superawesomecalculus/

2.4 - Continuity

An explanation of why we are skipping the precise definition of a limit. Explain what continuity means and what it is to be continuous on an interval, as well as a list of functions that are continuous at every number in their domains. Finally, we will look at the Intermediate Value Theorem. Question: p.130 q.65 (practical application).




BIG PROBLEM: A Tibetan Monk leaves the monastery at 7:00AM and takes his usual path to the top of the mountain, arriving at 7:00PM. The following morning, he starts at 7:00AM at the top and takes the same path back, arriving at the monastery at 7:00PM. Use the Intermediate Value Theorem to show that there is a point on the path that the monk will cross at exactly the same time of day on both days.

--- Please note, as my editing system cannot work with .mp4, all videos will be posted right here, with the "Big Problems" listed in the video description AND on the website. :)

Category:

Education

Tags:

• Augustin Kennady
• Super Awesome Calculus
• Columbia University
• Online math help
• MIT Open course ware
• Single variable calculus
• Intermediate Value Theorem
• Tibetan Monk
• IVT
• Continuity
• Precise Definition of a Limit
• Elliott Stein
• Alvio Dominguez
• Adam Knapp
• Fabio Nironi
• Jian Wang
• Marsha Horvath
• Pen Argyl High School

[nickasu420]

17:40 for IVT

[etake2k]

great job! enjoyed your tutorial