Wednesday, November 21
Saturday, November 17
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
Calculus Applets: http://www.slu.edu/classes/maymk/MathApplets-SLU.html#Applets_for_single_variable_calculus
Friday, November 9
Hypermath/Hyperphysics Link
I just stumbled upon this: http://hyperphysics.phy-astr.gsu.edu/hbase/hmat.html#hmath
Wow!! Lots of stuff there!!
Wow!! Lots of stuff there!!
Tuesday, October 30
Trimester
Although the Trimester may not affect many people in our class, I'm sure someone has a younger sibling:
http://trimesterconcerns.blogspot.com/
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
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!
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!
Sunday, October 28
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!
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!
Friday, October 26
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.
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.
Tuesday, October 2
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
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
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.
P: But I don't think many people will reply to this.
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.
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?
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.
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
Anyone who have specific questions, please post.
Homework: 1-25 odd
Friday, August 31
Lesson 2.5
Nothing I can really say as a helpful reminder this section. If anyone has anything they wish to add please do so.
Implicit cannot be written in terms of x (You can't make it y= blah blah blah)
=D just take out the nifty rules we learned in earlier chapters and then make it equal to y1.
Homework: 1-41odd, 45, 51, 53, 58, 59
Implicit cannot be written in terms of x (You can't make it y= blah blah blah)
=D just take out the nifty rules we learned in earlier chapters and then make it equal to y1.
Homework: 1-41odd, 45, 51, 53, 58, 59
Thursday, August 30
Lesson 2.4
Reminders:
The Chain Rule
y=2(x^2+1)^3
The 3 moves to the front and is subtracted by 1 =D
y prime=6(x^2+1)^(2) *2x
Really the 3 moving to one and subtraction of one is kind of like the power rule (remember that in 2.1?). Remember to keep everything inside the same. And then take the derivative of inside later at the end. You can check the proof on page 131 to see why it works if you so wish.
Using Trig
y=Sin (x^2)
y prime=Cos (x^2) *2x
Homework: 7-29 odd, 39-63 odd, 67, 72, 83, 88, 92
The Chain Rule
y=2(x^2+1)^3
The 3 moves to the front and is subtracted by 1 =D
y prime=6(x^2+1)^(2) *2x
Really the 3 moving to one and subtraction of one is kind of like the power rule (remember that in 2.1?). Remember to keep everything inside the same. And then take the derivative of inside later at the end. You can check the proof on page 131 to see why it works if you so wish.
Using Trig
y=Sin (x^2)
y prime=Cos (x^2) *2x
Homework: 7-29 odd, 39-63 odd, 67, 72, 83, 88, 92
Tuesday, August 28
Lesson 2.3
Today's notes in class: Homework numbers 1, 11, 13, and 81
Reminders:
Basically the product rule states
y= a *b
which makes y(^1)=a(^1) * b + a * (b^1)
Quotient rule (b can not be zero which is kind of obvious...)
y= a/b
y(^1)= a(^1)*(b)-a*b(1)
____________
b^2
More Trig.. woo
tanx changes to sec^2x
cscx changes to -cscxcotx
secx changes to secxtanx
cotx changes to -csc^2x
sec -> sec <- tan
csc -> -csc < - cot
Reminders:
Basically the product rule states
y= a *b
which makes y(^1)=a(^1) * b + a * (b^1)
Quotient rule (b can not be zero which is kind of obvious...)
y= a/b
y(^1)= a(^1)*(b)-a*b(1)
____________
b^2
More Trig.. woo
tanx changes to sec^2x
cscx changes to -cscxcotx
secx changes to secxtanx
cotx changes to -csc^2x
sec -> sec <- tan
csc -> -csc < - cot
Nifty way to remember...
Homework: 1-25 odd, 30, 33, 35, 39-45odd, 50, 52, 64, 65, 75, 81
Feel free to post questions and advice.
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