Math Blogging with Patty O

DUE DATE: Monday, Oct 16th 

If you want to download this assignment to your computer as a Word document, click here: calc_3.doc

Later in your mathematical career, you may encounter the definition of limit written in the form shown in the box on page 74 #C4 (download the Word document above to view this definition on your computer). Please read this new definition of limit and explain how it is equivalent to the "within" definition you have already learned (see page 27 or page 40 if you need to look, but you should already know it  ). Be specific!

DUE DATE: Monday, Oct 16th 

If you would like to download this assignment to your computer as a Word document, click here: calc_2.doc

Calculus involves four concepts. We have already studied three of them: limits, derivatives, and definite integrals. Your goal for the course is to be able to do four things with each of these concepts.

Copy the table above and paste it into your blog. Put an X each box that you have worked on as you have studied so far this year. Then please blog on the things listed below:

• The one most important things you have learned in studying Chapter 2
• A statement telling what you now understand a limit to be, including limits that involve infinity.
• How limits apply to derivatives and definite integrals
• Your understanding of continuity and the intermediate value theorem
• Anything that you still have questions about, including questions about the test

Thanks! Mrs. O

Evidently there were some technical difficulties at school (suprise!), so here are the movies I created for Thursday's and Friday's lessons. I hope they help.

Delta-epsilon proofs: http://video.google.com/videoplay?docid=800343193743126423&hl=en .

Evaluating limits by 1) direct substitution, or 2) simplifying first if we encounter the indeterminate form 0/0: http://video.google.com/videoplay?docid=-5203167194573580056&hl=en

PattyO

You may want to copy/paste this blog prompt into your blog so that you can refer to it as you write your entry. Just click and drag to highlight the text below, then press Control+C. When you create a new entry, press Control+V to paste the text into your blog.

Blog #1: Ch. 1 "Sum It Up!"

Start an online journal (your blog) in which to record your understandings about calculus. Your first entry should include such things as those listed here:

• The three concepts of calculus we've studied so far
• The distinctions among derivative, definite integral, and limit
• The techniques you have learned for calculating and/or estimating derivatives, definite integrals, and limits
• Any questions that still aren’t clear in your mind

adapted from Calculus Concepts and Applications by Paul Foerster, pg. 33

You will learn calculus by reading about it, listening, discussing it and by working problems. Another important ability you should develop for any subject you study is the ability to write about it. To gain practice in this technique, you will be asked to keep an online calculus journal or blog. The purpose of a calculus blog is for you to write about concepts and techniques as we learn them, later after you?ve had a chance to think about them for a while, and to see growth and changes in your thinking. In doing so, you?ll gain practice in writing about mathematics, I?ll gain insights into your thinking and ways in which to better help you, and you?ll have a source of reference in your own words to review before tests.

adapted from Calculus Concepts and Applications by Paul Foerster