Sunday, September 30

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

Thursday, September 27

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

Sunday, September 23

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.

Thursday, September 13

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?

Monday, September 10

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

Tuesday, September 4

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