Hello All,

Here are today's slides of our "road trip" to discover the Mean Value Theorem.

Cheers, Bru

## Wednesday, April 21, 2010

## Monday, April 19, 2010

### Today's Slides: April 19, 2010

Hello All,

We have two sets of slides today. The first one is our review of the entire year of Calculus (to date) in just 7 minutes, all on a single slide!

The second set of slides is our recreation of Rolle's Theorem.

Cheers, Bru

We have two sets of slides today. The first one is our review of the entire year of Calculus (to date) in just 7 minutes, all on a single slide!

The second set of slides is our recreation of Rolle's Theorem.

**Rolle's Theorem**

View more presentations from Colorado Rocky Mountain School.

## Tuesday, April 13, 2010

### Today's Slides: April 13, 2010

Hello All,

Here are today's slides on the definition of the definite integral.

Cheers, Bru

Here are today's slides on the definition of the definite integral.

Cheers, Bru

## Monday, April 12, 2010

### Today's Slides: April 12, 2010

Hello All,

Here are the slides from today's class which introduced you to Riemann sums.

Cheers, Bru

Here are the slides from today's class which introduced you to Riemann sums.

Cheers, Bru

## Thursday, April 8, 2010

### Forum: A Tale of Two Integrals

We have been working with

Did you pick the correct one? The

What method have we used to approximate the definite integral (starts with a "t")? This method uses a strategy developed by Archimedes, considered by many to have been the greatest applied mathematician of antiquity. His method for finding areas under curves laid the groundwork for the invention of calculus by Newton and Leibniz two thousand years later. Read this recent New York Times article by Steven Strogatz, a professor of applied mathematics at Cornell University. Professor Strogatz discusses Archimedes

*Auntie Derivative and her Family of Functions*, also known as the indefinite integral. We have also worked with the definite integral. Which image below illustrates which type of integral?Did you pick the correct one? The

**indefinite integral is a family of functions**with a given derivative and the**definite integral is the area under a curve**. Incredibly, they are related to each other, as we will soon discover!What method have we used to approximate the definite integral (starts with a "t")? This method uses a strategy developed by Archimedes, considered by many to have been the greatest applied mathematician of antiquity. His method for finding areas under curves laid the groundwork for the invention of calculus by Newton and Leibniz two thousand years later. Read this recent New York Times article by Steven Strogatz, a professor of applied mathematics at Cornell University. Professor Strogatz discusses Archimedes

**method of exhaustion**and many of the ideas we have covered this year: Zeno's Paradox of Motion, infinity, linear approximations, and the underlying basis for calculus - the concept of a limit. Post a short comment on one "take-away" from the article.## Monday, April 5, 2010

### Today's Slides: April 5, 2010

Hello All,

Here are the slides from today's introduction to slope fields.

Cheers, Bru

Here are the slides from today's introduction to slope fields.

Cheers, Bru

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