AP+Calculus+-+Limits

=__Good Online Graphing Calculator...__= __Graphing Calculator__ =__L'Hopital's Rule (using derivatives to find limits if direct substitution gives an indeterminant form)__= []

=__LIMITS .... as they apply to AP Calculus - Online Resources to Accompany Chapter 2__=

Below are digital resources that will help you to understand the concept of limit as it is applied to AP Calculus. Many of these resources will be embedded into classroom lessons and discussions, but not all will be used formally.

If you view a document and/or online interactive that is not used formally in class, and you have questions or comments about it, please consider asking your question or presenting your idea via a comment in the discussion tab above. See Mrs. Bender for instructions on how to "join" the online discussion. You may be surprised at how much more clear abstract concepts become when you express your thoughts and/or questions in words and then read others' comments on the same topic.


 * [[image:Calculus-help.com logo.png link="@http://www.calculus-help.com/tutorials/"]] || This site has many GREAT flash videos that nicely illustrate the concepts and skills of calculus in a very visual way.

Video lengths are as follow: ...Lesson 1: 1:18/1:12/1:22, ...Lesson 1 includes intro to limit/notation for limit/example with hole in graph ...Lesson 2: 1:05/1:20/1:28 ...Lesson 2 includes “Diner example” for better visualization/step function with “no limit”/summary of general concept of limit and how to find a limit graphically ||


 * [[image:Finding Limits Graphically Image1.gif width="197" height="147" link="@http://oregonstate.edu/instruct/mth251/cq/Stage3/Practice/graph_limit.html"]] || The link to this site will provide some initial practice at reading limit notation and finding limits (or determining if they do not exist) using a graphical approach.

This site was used in class as a "whole group" activity, and students were also given a handout with this graph and these questions on it to follow along more closely. ||


 * [[file:Limit Introduction.docx]] || This handout provides the "Verbal Definition of Limit" that students need to memorize! ||

We talked about the INTERMEDIATE VALUE THEOREM (Section 2.6). Here is a site that offers some more information about that theorem. Don't read too much into it - this is an introduction to a group of theorems called EXISTENCE THEOREMS.

Intermediate Value Theorem -- Some basic information....

Saw this and thought it was funny .... Hopefully none of you think it's correct! lol This prezi presents many conceptual ideas and mechanical techniques concerning LIMITS as they apply to Calculus... media type="custom" key="10623352"