Great Resource!!

Don't forget about "Mr. Calculus"
http://homepages.roadrunner.com/askmrcalculus/index.html#anchor1106842

Lots of stuff there!!! :D

PRACTICE EXAMS

AB and BC Practice exams available online at: http://online.math.uh.edu/apcalculus/exams/

The answer keys are included for the multiple choice sections.
(But please let me know if you need some additional help :D)

If you have questions on the free-response problems,
please bring them in to share with the class.

Don't forget - registration forms are due Thursday!

National Engineering Week

This is National Engineering Week!!
Engineering is fun, interesting and a great way
to change the world. Spread the word!
National Engineering Week: http://www.eweek.org/
Discover Engineering: http://www.discoverengineering.org/
Sightseers Guide: http://www.engineeringsights.org/

Interactive Website

You can input your own functions at: http://www.calc101.com/

Geogebra Applets from SLU

SLU uses Geogebra applets: http://www.slu.edu/classes/maymk/GeoGebra/

Calculus Applets: http://www.slu.edu/classes/maymk/MathApplets-SLU.html#Applets_for_single_variable_calculus

Hypermath/Hyperphysics Link

I just stumbled upon this: http://hyperphysics.phy-astr.gsu.edu/hbase/hmat.html#hmath

Wow!! Lots of stuff there!!

Trimester

Although the Trimester may not affect many people in our class, I'm sure someone has a younger sibling:

http://trimesterconcerns.blogspot.com/

Videos for the Calculus Phobe

We may be well past some of the concepts in these videos, but it is always good to review and reinforce ideas.

http://www.calculus-help.com/funstuff/phobe.html

Check This Out

This site is still under development (I hope), but the topics that are addressed are presented nicely. http://www.math.ucdavis.edu/~kouba/ProblemsList.html

The examples of integration are pretty good! For the limit definition examples, they show that the limit is the same with a couple of different indexing techniques. We know that should be the case because it won't matter which side the x(sub)i is on as n goes to infinity.

The limit will be the same, so pick whichever method is easiest for you.


Hey Calculus BC:
Could you send this to Chris for the AB blog or include me as a contributor on it?
Thanks!

AC Calculus AB credit

I signed up for the AC credit, and now I'm too cheap to pay for it I don't want to do it anymore... Does anyone know if I can cancel it, or if there is some kinda penalty charge if I do or anything? I really don't want to call UMSL to ask.
Not paying the bill isn't really an option, because I want credit for the other two classes I signed up for.

EDIT: Anyone who is interested in dropping AC credit, call the Advanced Credit people at (314) 516-7005. They gave me an e-mail to send my request to. You have until Nov. 1st.
Hopefully the AP exam won't be too bad!

Calculus Links

There are alot of really nice demonstrations on a website called "Visual Calculus" The table of contents is here: http://homepages.roadrunner.com/askmrcalculus/VisCalc.html Check out Integration and Reimann sums for chapter 4 stuff that we've learned so far.

Also, there's a great resource available at morenet: http://www.more.net/about/announcements/2007091201.html Click on "learning express library" I created a user name "mathrules" with password "learnmoremath" :D

There's practice for AP exams, ACT, etc. Let me know if you have any trouble accessing it from home.

Review

Review over Lesson 7 and 9.
Test and homework assignments due on Thursday.

GeoGebra Program

A friend just told me about this free and multi-platform dynamic mathematics software for schools that joins geometry, algebra and calculus last Friday. It was developed by a professor in Florida.

You can look at the "examples" on the main page, or go to the "wiki" and choose your language to see some things that teachers have created. Check it out! It is very interesting!http://www.geogebra.org/cms/

As you can see... if you are thinking about becoming a math teacher or even a software developer for that matter, new things are always popping up to keep it fun! I suspect that the nature of teaching, as we now understand it, will change very quickly over the next few years. A great time to start! :D

Careers Using Mathematics

The links didn't work on my comment to Hannah's original post, so here goes again :D

Careers using mathematics
http://www.maa.org/careers/
http://www.cln.org/themes/careers_math.html
http://findarticles.com/p/articles/mi_m1155/is_2_43/ai_54831679
http://educ.queensu.ca/connectme/weblinks/careers.htmhttp://www.math.dartmouth.edu/majors/jobs

Real World Use.

^^ I'm just wondering what people are thinking of as a career and why they decided to take Calculus... and not only that BC.

P: But I don't think many people will reply to this.

Lesson 3.7

Applying chapter 3 to real world problemsish.

Homework: 2, 3-13 odd, 17, 19, 23-27 odd

CHAPTER 3 SECTION 1 - 6

Some Highlights:

a) To find the intervals where a function is increasing or decreasing, find where f ' is either equal to zero, or undefined. This gives you the critical numbers. Test values of x between each critical number in the first derivative. If f ' is positive there, the function is increasing. If f ' is negative there, the function is decreasing.

b) Review Rolle's Theorem and the Mean Value Theorem.

c) Review vertical and horizontal asymptotes and be able to graph functions using calculus concepts without relying on the calculator.

c) The second derivative describes the concavity of a function. If f " is positive, the function is concave up. If f " is negative, the function is concave down. Inflection points are where the concavity of the function changes.

d) There are two "tests" in the chapter for relative extrema.

The first derivative test and the second derivative test. The first derivative test is where you test x values between each critical number to determine if f ' is changing from positive to negative, or negative to positive. The conclusion would be that there is a relative maximum in the first case, and a relative minimum in the second case.

The second derivative test is where you plug the critical numbers into the second derivative. If f " is positive at the c.n. then the function would have a relative minimum there. If the f " is negative at the c.n. then the function would have a relative maximum there.

e) To determine the absolute extrema of a function on an interval, compare the functional values at the endpoints to those of the relative extrema. You can then find the absolute minimum and absolute maximum on the given interval.

f) Make sure that you always go back to the original function when finding y-values for any points on the graph.

REMINDER: calcchat.com has free solutions to odd numbered problems.

Lesson 3.3

It's a really east chapter, but try to do stuff without the calculator. Ms. Jones says it'll be useful for the harder problems. In which you can't use a calculator to figure things out.

For 17-37, part C. You need to take what you go for a and plug it into f(x). This should equal to the Y value. *nod nod*

Homework: 1-45 odd, 55-64

*Reminder: Get you UMSL AC credit form quickly. You're planing to get above a C in the class anyways. Right?

Lesson 3.1

Etrema :D is a fun word.

#3-30 mult 3, 39, 42, 53-58, 60

REMINDER!
TURN IN THE REGISTRATION thingie FOR Advanced Credit

Here

Lesson 2.6

Again, I can't really add any helpful reminders for the homework overall.
Anyone who have specific questions, please post.

Homework: 1-25 odd