Sunday, January 31, 2010

Subliminal Sun

Subliminal Sun
Originally uploaded by J-tron foteen

Some nice pics

Subliminal Sun

Wooden Post

A nice view

I know its not creative, but its invertible

X Games!!!

Math Pictures!

Monument in Merida, Mexico

Museum in Mexico

Mountian on a Hut Trip


San Juan Mountains

Just click on the picture and it'll take you to flickr so you can see the tags and stuff.

I see math!

Continuous and Differentiable!
No breaks or discontinuities in the line.

Continuous but not Differentiable!
Shark Mouth
Cusps are not differentiable

Non Continuous, Non Differentiable!
Jump discontinuity

This function still passes the vertical line test if it is inverted

Not one-to-one!
Alexander playing
Circles are not one-to-one

Ski Math!

The Matterhorn

The Lift

Tiroler Grostle
Tiroler Grostle

The Bowl
The Bowl!

Not here...
Top of Highlands

See Math

An invertible function

Not continuous and not differentiable

A function that's not one-to-one

Continuous, but not differentiable

Continuous and differentiable



1. For any point (a,b) on an invertible function, the derivative of the inverse of the function evaluated at b is equal to the reciprocal of the derivative of the function evaluated at a. In other words, the derivative of the inverse of a function is the reciprocal of the derivative of the function.
2. In symbols:

3. The function for volume of a sphere is below:

Yes, volume is an invertible function.

4.The inverse of this function:


6. The slope of the tangent of the red function is 11.36, and I found the slope of the green function is .088, which is equal to 1/11.36.
7.I chose not to go to class. I've never done a virtual class before, so I wanted to see if I could effectively learn the class material without actually going to class. Also, by taking the virtual class I was able to sleep in, (this was really just a nice bonus). By utilizing my tools on the internet, I was able to learn the subject matter. The scribe post was also a very helpful tool. Overall, I think I was able to learn just as well in the virtual class, but had this been a more complicated, difficult topic, it's definitely helpful to have a teacher who knows what they are talking about.


Continuous and Differentiable

Continuous, Not Differentiable

Not Continuous.  Not Differentiable

Not 1-1


I see math

A coordinate system in our school!!

little coordinate right here

What's at the back of our solor panels? maths!!

Solor panels

School property...


Sweet moon up there

Sweet Moon

coffee is good

Dos Gringos

Saturday, January 30, 2010

See Math

Look at this picture and what do you see?
Fun in the Sun

Sometimes the answer is not as evident as it seems...

You might need to put on your calculus glasses for this one...


Almost there...

And now you are officially an expert at recognizing functions

Not Even Close To Full