COLLEGE!!!

Man less than 2 years and we're off to college SCARY!!
I don't really have a clue on what i want to major in
I like math, history pretty interesting, I'm beginning to like English
Man I'm lost after High School

1. Majors

- Anthropology
Is is studying different culture. People have to be open minded and respect the differences between cultures. In this field one compares different cultures and also gets to see the changes they develop over time. This major is the study of humans and other primates (such as chimps). They recommend you take AP Human Geography; AP World History; Biology; Sociology; Foreign Language in High School
-Applied Mathematics
It uses math an statistics to solve problems in applied science and engineering. I also involves numerical analysis and optimization theory. They recommend to take AP Calculus; AP Statics; Physics, Trigonometry, Geometry, and Discrete Math.
-Geology
This major focuses on Earth and forces acting upon it (solids, liquids, gasses) It studies the historical geology, rock and soil chemistry and the use of minerals in industry. Geography, chemistry, physics, and biology are very important in this major. They recommend you take AP Biology, AP Chemistry, AP Environmental Science and AP Physics.



2. Colleges

- UC Davis
It is a public 4year university. It is in a small city. It is a residential campus. There is an average of 58% women and 42% men. 15% of Hispanics of the students are Hispanic. About 53% of applicants are admitted.
-UC Berkeley
It is also a public 4year university. It has a 22% of applicants admitted. About 91% of students are In-state students. There is about 11% of Hispanic students. It is in a small city on a residential campus.
- USC
it is a private 4 year university. Its applicant admission is 22%. It is in a very large city on a residential campus. 53% of the students are in- sate students while 47% are out-of-state. About 53% of students get a G.P.A. 3.75 or higher.

These are only a few of the many colleges that i want to find out more about. Thanks Ms. Hwang for this blog and the websites you gave us. It was very helpful and it gave me an idea of what other universities there are available related to the major you want.

Tips and Hints?

1. Transformations
a transformation is the difference between two graphs. One of the graphs being the parent graph and the other a change in the parent graph.
A parent graph would be: .....x^2, .... x, .... 2^x, ... lxl.... sin(x), .. cos(x) etc....
Horizontal shift: it is either adding or subtraction to the functions input. The function should have parenthesise enclosing the x and the change (adding or subtracting)
example: sin (x+2) NOT sin x+2
***Important***
subtracting the input: graphs shifts to the right
adding the input:graph shifts to the left
Vertical shift: it is either adding or subtracting to the functions output. Parenthesis are not used to indicate adding or subtracting to the output.
example: x-5
Unlike the horizontal shifts , when it is adding the graph moves up when it is subtracting the graph is moved down
Amplitude: It is usually the number in front of the function that indicates multiplying.This number indicates a vertical stretch or compression. When it is a fraction the graph is compressed vertically. When it is grater than one it is stretched out. When it is a negative one the graph reflects about the y-axis or in other words flips.
example: 5 sinx
Scale (Period): This is indicated by the number multiplying the input. It can either compress or stretch the function horizontally. When it is a fraction it compresses the graph. When it is greater than one it is stretched. When it is negative it reflects about the y-axis.

2. Trigonometry
It revolves around the unit circle.
One way i memorized the basic point on the unit circle is by looking at the degree. I noticed that when the denominator was 3 the x=1/2 and the y= 3½/2 when the denominator was 6 it would be the opposite x=3½/2 and y=1/2. When the denominator is 4 both y and x = 2½/2. To determine whether the x negative or y was negative you would have to determine where in the graph (coordinates) the point lies.

3. My worries
something i am worried about is trying to memorize the domain and range of sin's, cos's, tan's, sec's, csc,'s and cot's inverse. They are really specific. I'm also worried when we get to graph degrees we are not used to seeing (not the basic ones) .

ABOUT ME

HEY my name is Sandra Machuca

I'm 6,092 days old as of today Nov. 18, 2009 it is not a lot, I still got a lot to live.

I'm a Junior at POLYTECHNIC High School. GO POLY PARROTS WOOT WOOT!!!

It was my first year in the girls poly tennis team and it wont be the last.

Tennis turned out to be a very fun and interesting sport

My favorite subject is math but i technically like any subject that can teach me something new & interesting any class(cooking, history, English, computers, wood shop, chemistry, any)

I also like all sports. I like playing them although I'm not that good.

But enough about school.

I live here in Sun Valley, California. I am the oldest of three daughters. Being the oldest has its privileges and disadvantages. Both my parents were raised in Mexico, Jalisco (GO CHIVAS).

I'm catholic.

I am a very shy person and hate when all the attention is on me ( Public Speaking is a living nightmare)

I like watching movies: I prefer watching Comedy and Action. I CAN'T watch horror movies ( I wont sleep for days)

I like watching My name is Earl and Ghost Whispers

I dont like to be in the computer so much because some how time seem to go so fast and i don't get the things i want done on time.

I guess thats all for now if you have any question go ahead and ask.

Logs and Inverse Understanding

Recap:

1. Well First i learned that when a function is one-to-one it means the function and its inverse are both functions as in for every input(x) there is only one output(y). To check if the function one-to-one you don't need to plug in every number you can just do the vertical line test for the function and to see if its inverse is also a function you can do the horizontal line test on the same function not its inverse. (Hopefully this is clear, although i doubt it)

2. Another thing that i learned was how to find a function's inverse. It is similar to finding x in an equation such as y = 3x + 4 except the functions we are dealing with now have logs and exponents.

3. I also learned how to know if the the inverse is actually the inverse of its function. Its pretty simple. To know if the inverse is its functions' inverse all you have to do is find f(f^-1(x)) and f^-1(f(x)) and the answer for both equations should be x , but it can become one BIG, UGLY looking equation.

4. I really like the story Ms. Hwang told us about the man out in the woods in his log cabin with the gate (=) and the wild animals (#). This story helped me with converting log equations into a more common and simply looking equation
For example

from ........ log x 25 = 2 .......... to ....... 25= X^2 .... then it's easier to solve x=5

I DON'T UNDERSTAND:

One thing i didn't understand was how to solve for a functions such as:

e^x + e ^-x = 3

I tried solving it so many time and nothing. I was frustrated with this simple looking equation. I tried different way to solve it but i know somehow i was breaking a rule or making it more complex.

even and odd functions

* Function : f (x) = y

EVEN FUNCTIONS

When a function is even the input(x) whether it be positive or negative it will ALWAYS have the same output (y) .

algebraically speaking: f (x) = f (-x)

Example: #1

f (x) = x² . ....................................... f (-x) = (-x) ²

;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;.........f (-x) = x²

Example: #2

f (x) =x ^4 + 2 .................................. f (-x) = (-x) ^ 4 +2
................................................... f (-x) = x^4 +2

NOTICE:SAME OUTPUT
(wheter the input is + or - )

HINT: Usually when the input has an even exponent or it is absolute valued it is an even function

When you graph an even function it is symmetrical about the y-axis

ODD FUNCTIONS

When a function is odd the output (y) of a negative input(-x) is the same output (y) of a positive input (x) when you times the positive input's output by (-1)

algebraically speaking : f (-x) = - f(x)

Example: #1

f (-x) = (- x) ....................................... -f (x) = x
f (-x) = -x .......................................... f (x)= -x

Example: #2

f (-x) = (- x)³................................................-f (x) = x³
f (-x) = -x ³ ................................................... f (x)= -x ³
NOTICE: SAME OUTPUT

HINT: Usually when the inout has an odd exponent it is an odd function

When you graph an odd function it is symmetrical about the origin