Saturday, October 07, 2006

Closing in on 1/8.

Another week has gone by, we are rapidly closing in on 1/8th of the way through the program, or 1/2 way through the first of 4 semesters.

This week we had a Geology "pre-test" which was worth 10%. It was our first no lab test in the class. We have our midterm scheduled for Monday October 23. I think it is safe to say I passed the test and more than likely destroyed it. We will see when we get it back.

Next week we have a tonne of stuff. Geology rock test, Geophysics pre-test, English assignment due, Math quiz and probably a Computer test on Excel as well.

Calculus. My past bane.
Our quiz will include.
The Derivative of a power functiony'=(1+2x^2)^3'
y'=3(1+2x^2)^3-1(1+2x^2)'
y'=3(1+2x^2)^2(2(2x^2-1)
y'=3(1+2x^2)^2(4x)
Good on those ones

Implicit differentiationx+y=2y^2
x'+y'=2y^2'
1+y'=4yy'
1=4yy'-y'
y'(4y-1)=1
y'=1/(4y-1)
Should be good here as well

Higher derivaties
y'=2x^3'+3x^4'
y'=6x^2+12x^3
y"=6x^2'+12x^3'
y"=12x+36x^2
y"=6x(2+6x)
Ditto on these ones

The last three are longer so I won't provide examples.
Applications of Derivatives

Tangents and Normals
These I like.

Curvilinear motion
Using derivatives to calculate velocity and second degree to calculate acceleration
Shouldn't be to bad. Infact for the most part some of the simplest ones we have done. I will have to review how to convert a negative angle into the correct positive angle.

Related rates problems
A water tank has the shape of inverted right circular cone with inside radius of 5.0 m at the top and inside height 12.0 m. Water flows into the empty tank with a constant volume flow rate (in m3/s). When the water is 1.00 m deep, it rises at a rate of 0.24 m/s. Determine the water’s volume flow rate. How long does it take to fill up the tank? (Hint: Volume of a right circular cone with radius r an height h is )

good times? Yeah they should be.

My only concern is that these problems are all fairly indepth and take some time. I did the pre-test and did MOST of it in 40 minutes. We will have an hour and I write tests fast.

On the agenda on my two day long weekend is to work on Calculus, mainly related rates problems, but def some from each of the 6 areas. Also we will be attending a turkey dinner at Shannon's parent's place. Heh such a nerd. In related rates problems we are looking at functions of time, ie one variable is a function of time because it is a function of another variable that is a function of time directly. Get it? Shannon's Parent's place. We are a function of the turkey dinner because she is a function of ok fine I'll let it go. Stupid Calculus course.

Other than that things are quiet as heck here today in SAIT land. Long weekend most of campus is closed.

At 2pm there is a woman's soccer game though, so I might take a bit of time to go and check that out since one of the people I know from school is on the team.

Diet and Fitness? Seriously lacking motivation these days. Need to reign them both in.

Fitness wise I have 2 swim, 3 resistance and 1 run planned for most weeks right now. Nutrition, has just been hard to keep in line with school and spending time with people who want to eat elsewhere.

That's it for this week.

Remeber similar triangles

r R
- = -
h H

r = R/H(h) (very imporant for cone problems!)

Keith

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