Tuesday, November 24, 2009

OMG OMG OMG OMG OMG!!!!!


I'm screaming to the heavens and stressing like never before. When people ask me what I want to study I tell them "Umm...something in the medical field." Do you know how many professions are in the medical field...a lot.


Some majors that catch my attention are psychology, biology, and ...I know this may seem as a major way off topic but my mother always told me music heals wounds...Voice and Opera


Ever since I started taking AP Psychology i have been fascinated by the way our genes and environment affect the way we grow mentally. I love the fact that some behaviors I would observe in others had names, theories and causes. Their are many careers that one can pursuit with psychology such as a clinical psychologist, experimental psychologist, and so on.


Since I was small, I would always wonder how it was that doctors knew what was wrong with someone with only signs and symptoms to guide them and treat their patients. I'm a big fan of hectic life (i have one). It might sound like I don't because I complain a lot but after I get through the day I feel stronger than the day before. The life of an ER Doctor seems like the job I would love. Not only is it good pay ($162000...nice huh?) but I would be a licenced miracle worker. I know sometimes it might be a very sad job because obviously I won't be able to save every one's life (ya win some ya loose some right?) but at least I'll win some. (Death is inevitable)


Now, music has been part of my life since elementary 3rd grade when the choir teacher was about to loose her job because not many children were joining the choir. It was during PE while I was playing handball with my friends. She decided to go around our free time to recruit kids for her class. She came up to me and asked if I liked singing (at that time I only sang in the shower) and I said "Yeah...I guess." She told me to sing "Twinkle Twinkle Little Star" and because I wanted to impress my friends I tried my hardest. She said, "You have a beautiful voice." Now...I don't know if she was just BS-ing me but I bought it. I was in choir throughout elementary, learned to play the trumpet during middle school and choir again in high school. I love it.


The question that proceeds "What do you want to study?" is "Where?" I have a few places in mind.


UC BERKELEY!!!!!


Ok...what do I know about Berkeley is that HAMILTON GOES THERE!!!!(This fact is only directed to those who know this Genius.)

It has about 35,409 students as of Fall 2008 including 25,151 undergraduates.

It seems to have more girls than dudes (53% female and 47% male (Fall 2008).)

It has 130 academic departments and is a great choice of school if planning to study medicine.

The GPA requirement is average 4.0-4.2 (I'm not there yet)

UCLA!!!!!!

Before I found out about Berkeley, UCLA was the first one on my list. What I found out about UCLA is that it is a great school for people who are interested in the medical field.
UCLA enrollment was about 26,000 for undergraduate students, and 12,000 for graduate students in Fall 2008. To pay for their tuition they offer loans, grants, scholarships and work study. And if you are in state living on campus fees and living expenses are around $19,824 annually.

UC Riverside!!!!

Although this university isn't as well known as the other UC's it still considered a great school medical school. Most of its focus is about medicine.
UCR is widely recognized as one of the most ethnically diverse research universities in the nation, UCR's current enrollment is 17,187 students, with a goal of 21,000 students by 2010. Most of their population is Asian followed by Hispanic and then Caucasian. They have 80 Bachelor degree programs and 38 Ph.D degree programs. Sounds good to me.

Saturday, November 21, 2009

My Hints and Tips

Transformations

The way i seem to remember things about transformation is that they always seem to be counter intuitive. When you think you have to move x number of units to the left it happens to be the exact opposite of what you have to do. When you think you should make you graph shrink it happens to have to be stretched out. It's quite confusing to me (but so is the rest of math). Let me provide and example.

Example: f(x-7)

This function you can automatically classify it as a line and the minus seven means you just have to move it seven units to the right even though you would think the exact opposite because it's a negative number.

If you want to try it out go to this site
http://www.mathsisfun.com/data/graph.html
(props to Rocio Rodriguez for providing it)

Let's say they give you a function like this f(1/2x)
You would think that it would be smaller because of the the small number. But guess what, THAT'S WRONG!!!"
The function graphed would actually stretch out more that a function that said f(3x). The function f(3x) would actually look more compressed than a function of that said f(1/2x).
(It's crazy but that's math, it's like magic...2+2= Fish)


Trigonometry

Alrighty then, moving on to the trig stuff. Well like Ms. Hwang said, "You have to know your unit circle!!!" When asked to recall the unit circle, my hand twitches and automatically wants to draw it (seriously, no joke).
I haven't reached the stage where I can visualize it, i kind of have to draw it. Memorizing the unit circle took about ummm...25 minutes or so of practice. The way i memorized it was kind of complicated to be quite honest (I'm like that, i over think things). Well for the radians there is a pattern (if you haven't noticed) the denominators repeat themselves like mirror images. Starting at zero and moving counter-clockwise they go 6,4,3,2,3,4,6 only the outcast number in this case changes in this case it is the 2. The numerators are a different story. The numerators for the top half of the circle seem to have a jingle. Try it its pi, pi,pi,2, 3,5. For the bottom half i had to learn it myself with no jingle =(. The coordinates are the easiest things to memorize, the also reflect like mirror images. You just have to remember the first three on the first quadrant and the rest is just repeated (you just have to remember that you still have to change the negative and positive coordinates but that's easy.

When it comes to graphing sin, cos and the rest its a about studying them for me (which reminds me i still need a little work)

What worries me?

Well let's see...i have a list hahaha. I can't seem to graph the inverses like cos-1 x without the stupid patty paper. It sounds silly but only God knows how frustrating it is ( i have to memorize those flash cards). But yeah i think thats about it

P.S: i still am confused about logs

Wednesday, November 18, 2009

Logs and Inverses

Well let's see what I learn in the week of logs and inverses.

1)When it comes to the inverses of functions it is quite clear to me that the inverse is when you switch the input and the output. I'm not sure I'm explaining it well so I'll use an example.

X____Y
-1 | 3
0| 0
1 | 3
So then instead of -1, 0 and 1 being your x's they will become your outputs...your y's and the same with the y's, they will become your x's. By plotting the points this way you will graph the inverse. This applys to equations as well such as

y= 2x+7 --------->x=2y+7

2) I learned that the inverse of a fuction will reflect about the y=x line

3) I learned that if you do the horizontal test on a function you are able to determine whether it inverse is a function or not. (This is known as one-to-one)

4) I learned that logs are the inverse of exponents and that they can help you figure out what the exponent of a number is.

Ok, i kind of already knew i wasn't going to get this 100% because it's math and well ....it's me and math.

I didn't really understand when it was nessesary to plug in the natural log of something and when i was suppose to use the e.

Saturday, November 7, 2009

Why They Are the Same Thing.

Ok, from what i understood, this is my answer.

Even functions are those that have an even power to the x. They are symmetrical about the y-axis because the inputs are the opposites of each other along the x-axis but the output, which is y, will be the same due to the fact that a negative times a negative will always equal a positive [ex. (-x)^2 Is the same as -x*-x]. So, for example, the points on the 1st quadrant and the 4Th quadrant would be symmetrical about the y-axis. Therefore f(-x)=f(x).

Odd functions are those with an odd power to the x. An odd function is represented with this equation: f(-x) = -f(x)
For example, if a point (1,1) lies on a graph, then the opposite points (-1,-1) must also lie on that graph. If (-1, 1) lies on a graph then you will also find (1,-1). So it reflects twice you could say. If the function was originally on the 1st quadrant it will reflect about the y axis and then again about the x axis making is symmetrical about the origin.


Posted on SATURDAY @ 4

Have a nice weekend guys