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AP Calculus BC - Period 6 __ End of Year Mathematicians Project __

Today I assigned the. It will be scored using.

See below for more information:

**Calculus – 4th Quarter Project **


 * __Due: __** Wednesday, 5/21 (Presentations begin on 5/20)


 * __Objective: __** to research an important figure in the history of mathematics.


 * __Project: __** You will choose a famous mathematician. You will write a short (2 to 3 page) research paper about this mathematician and then present your findings to the class. Your paper should contain the following:

A.) biographical information about your mathematician B.) any significant contributions by this figure to the field of mathematics C.)any interesting controversies, conflicts or anecdotes surrounding your mathematician D.)a description of how your mathematician’s contributions are still relevant to the field today.

Requirements:

A.) Your paper must be typewritten, double spaced and 12 pt. font.

B.) You must have at least 3 references (internet resources are okay). Include a bibliography.

C.) DO NOT plagiarize. Any information or quotes should cite the source in some way (footnotes, etc.).

Period 6 - BC Calc - Calendar of Activities <span style="font-family: 'Comic Sans MS',cursive; font-size: 16px;">Click on the activities for details. Where applicable, handouts are uploaded as attachments.

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Old Stuff

__ Homework for tomorrow: __

1.) Complete the AP Problems from the Power Series Handout 2.) Finish using MacLaurin Series 3.) Memorize the for a quick quiz tomorrow.



Today we studied the Direct and Limit Comparison tests. For homework students should complete the problems from the "Mass Insight" packet on the Comparison Tests.

I handed out the, which will be due next Thursday.

You will also have a test next Thursday, 3/27

Your Test Corrections for the Diff-E-Q, Parametric and Polar Function Test will be due next Friday, 3/28.



__ Daily Notes -Wednesday, Feb 12, 2014. __

Today we went over the material from "Assignment 2 - Differential Equations and the AP Exam" (See Below).

For Friday, students should work on completing 2005 AB6 and 2006 (Form b) AB 5

- Integration by Parts and Average Value

- Read and mark-up the handout. There are two problems at the end to try out. We'll go over this on Wednesday in class.

I will check these when I see you on Wednesday.

Today we learned about Volumes of Solids with Known Cross Sections, better known as the "slicing" method. Student were given a problem set which is due on Tuesday, 2/4.

for Problem Set 11.

Here are some screen shots from class to help you with the method:











Today we continued working on Integration by Parts, then moved onto the method of Partial Fractions


 * Midterm Review Info:**


 * Midterm Topic List**

__ __

For Tuesday, complete


 * More review materials:**













The midterm will be made of:

10 Multiple Choice - non-Calculator 1 Free Response - non-Calculator 10 Multiple choice - Calculator Active 1 Free Response - Calculator Active

I will hand out topic list in class.

__**Materials for Integration by parts:**__











__**1.) Integration by substitution assignment:**__

a.) "Substitution in Indefinite Integrals" - p. 333-334, Through EXAMPLE 5 ONLY b.) "Substitution in Definite Integrals" - p. 336-337

Do the following Exercises: p. 338, # 17 - 19, 25 - 27 and 53 - 55


 * 2.) Antidifferentiation by Parts Reading **

Read p. 341 - 344 and be prepared to discuss "Integration by Parts" on Monday and watch a video from Khan Academy on Integration by parts.

2nd Quarter Project - Due Tue 12/3: Create an illustration / example for one of the concepts / vocab terms that we've learned. Do this on 8.5 x 11 inch paper. I will post these on my bulletin board and on my wall. Make the topic or term very clear. Think of it as a "mini poster". Be creative and have fun with it!


 * Here is the Rubric that I will use to score the project.**

Click Here for the College Board website (Calc AB Section).

For homework, students should finish the free response questions 2000 AB 3 and score it. We'll go over the scoring guide tomorrow. Today we learned about Concavity and Curve sketching. Students graphed functions using first and second derivatives, increasing/decreasing and concavity behavior.

For those who were absent, the procedure is as follows:

1.) Find the zeros of the function 2.) Find f'(x) and discover where it equals zero and/or doesn't exist - These are your Critical Points. 3.) Find f(x) and discover where it equals zero and/or doesn't exist - These are your Possible Inflection Points. 4.) Map out the where f'(x) and f(x) are positive and negative on sign charts. 5.) Make a table of values with your zeros, critical points, inflection points and end points (if any). 6.) Graph the points, then sketch the curve using the derivatives to indicate increasing/decreasing behavior and concavity.

For homework, students should finish graphing the function f(x) = 3x^(4/3) - 12x^(1/3) on [- infinity, infinity]. The video below on "Graphing Using Derivatives" should help.

Here are the links to the videos from the day's when I was out:

Concavity, concave upwards and concave downwards intervals

Exercises: Recognizing Concavity

Inflection points

Graphing using derivatives

From Thursday: Please complete the for next week.

You may also want to check out some of the Khan Academy videos on this topic. I will put the link on the Wiki, but they can be found at: Click here to be brought to those videos.

Monday we learned about the Mean Value Theorem. You can access the here. There was also a.

On Friday, students learned the process for identifying local and absolute extreme values of functions and how to justify these ideas. Here is a of the "special cases" function which I discussed with notes added.



Students completed, a related rates problem for a Ticket to Leave. The solution to that can be found.

__From Monday:__

for a screen shot of a linear approximation problem.

, a related rates problem. to this problem. However, the green didn't show up to well.

Here are some screenshots of the problems from the "Related Rates - Guided Notetaking packet:

Page 1 - #'s 1 and 2

Page 2 - #'s 3 and 4

__**From last week:**__

Last week we solved the, which you will find marked up if you click the link.

The procedure for solving these problems can be found if you.

I handed back the derivatives test yesterday. Test corrections will be due on Monday, 10/28:


 * Yesterday we also reviewed the Implicit Diff Handout. Here are some screen shots:**

Problems 1 - 5 from the Implicit Differentiation packet. Here are some pictures:



Here are some screen shots of the multiple choice problems from the packet:









The free response questions can be found at the AP Central website, here