I will explaining about squared equation. The definition of squared equation following me is equation with highest power is two and have the general form . While in the book the definition about squared equation is not far different. Content of squared equation is the highest power is two.

To searching of roots from squared equation with three method. Thas is such as in below :

1. Abc formula is the formulate to searcing of roots with formulate such as in besides

Factoritation is have formed . Where a, and b is the roots of equation.

Perfect Square is with moving constanta c in right internode. Then in left internode add half from constanta b and c add half from constanta b.

The characteristics of squared equation there three.

1. 
   
2. 
   
3. 
   

To compose squared equation is divided by a so we get

. So is changed with and .is changed with

We can get formulate

Squared function is correlation from collection of real number to its self.

Procedur :

1. Determine zero value

Zero value got from with formula , . There three possibility :

1. D > 0 there two value zero producer.

2. D = 0 there one value zero producer where .

3. D <>

2. Extreme value

changed into

Sign of are depend to , cause always positive or zero while is constant.

1. If , so always positive or zero.

2. If , so always negative 0r zero.

3. Sign from

There three possibility that is

1. , can aparted into

2. , can aparted into

3. , cann’t aparted

To ilustrate squared function graphic we need several procedure. That is

1. Determine intersect with x axis

This matter got if so . There are three possibility

1. If D > 0, the graph deduct absys in two point dan

2. If D= 0, the graph tangent in one point in absys or

3. If D <>

2. Determine intersect with ordynat

This matter got if x = 0, so y=c. Intersect with ordynat is

3. Determine symmetric axis

The formula to searching symmetric axis

4. Determine vertex point

1. If a > 0, paraboloid open to above

2. If a<>

I explaining materials in above to my friend. She is Sarwendah Kusumastuti or Endah. She is my classmate. I explaining in Rektorat UNY when we finish university lecturer, at Thursday, 30 December and following my story.

30 December 2008, after finish university lecturer, I and my friend, Endah went to Rektorat UNY with walked. We walked from Faculty of MIPA about at 11 am. We walked while in a row with voice of motorcycle and car. At Thursday, the weather is enough good, is not hot and is not rainfall. Can we said cloudy. We walked about five minutes. Until there, I and Endah searching pleasant place. We walked again from Rektorat building until auditorium. We around several place in Rektorat, and we decided in under Mlanding tree. In there, every green and get grass so every nice if we saw it.

I began took a paper which is content of materials about Squared equation. And don’t forget I took empty paper and pencil. I expalained one by one, started from the definition of squared equation until make a function graphic. First, I explained the definition of squared equation. Accompany my friend, Endah that the definition of squared equation is same with me. Because have not been problem, I continue with searching of roots from squared equation, with three method. And Endah understand. Then I continue until finished and Endah understood. I’m happy because what I explained can understood my friend.

This materials is not difficult to understood. Because we have been got in Junior High School until Senior High School. Why I choose this material ? Because this material when I am still in Junior High Scholl ang Senior High School have been learned by teacher so this materials is not difficult. And I also got university lecturer in semester 1, one year ago.

I gave several exercises to Endah, because she is understand. I gave easy exercises until complex exercises.

1. Determine roots of

2. 
   

Make new equation which is its roots

1. Opposite with roots is knew

2. Reciprocal with roots is knew

3. Illustrate squared function graphic from

Three exercises in above can finished by Endah with well. Three exercises mentioned finisihed my explaination about squared equation. I am happy can explaining to my friend. And Endah is also happy, because she into remind again about squared equation. She said with me, that she forget its. But, my explaination can understood by her. In here I study how is into a teacher ? and this is interest experiences for me.

I feel that enough my story.

Nama : Dina Nerisa

NIM : 07305144003

Prodi : Matematika Non Reguler 2007

No. HP: 085292974835

Email : dheena_cut3@yahoo.co.id

Bahasa inggris II / selasa jam ke III

Video I

Precalculus is graphs of a rational function.

It can have discontinuities has a polynomial in the denominator, where denominator have value is 0, so the value is infinite.

We can see one example in below :

If we insert , the numerator value is 8, and denominator value is 0.

So, if 8 divided by 0 equals infinite. is bad choice and discontinuities function graphs.

If we insert , the numerator value is 6 and the denominator value is -2.

So, if 6 divided by -2 equals -3. and break in function graph.

But, not only all rational functions will give zero in denominator. This matter depend to kind of equation.

Rational function denominator can be zero.

Polynomial

zero in the denominator.

Smooth unbroken curve.

Example :

If we insert , we find become

This equation give value is infinite. It is not possible, not feasible, and not allowed. The other ways to determine value from this equation is use factoring numerator ang divided by denominator.

Then we insert in , so the value of = -9.

Missing point is a loophole.

Example :

If we insert ,

Video II

Limits by inspection have two condition. This condition is

1. goes to positive or negative infinite.

2. Limit involves a polynomial.

Polynomial over polynomial

Example :

The key to determining limits inspection is in looking at the power of . If the highest power of is greater in numerator, so limits is positive or negative infinite.

First shortcut rule :

3 is highest power of in numerator and 2 is highest power of in denominator.

Second shortcut rule :

2 is highest power of in numerator and 3 is highest power of in denominator.

Third shortcut rule :

If power of in numerator ang denominator is same such as equation in above, we can it soluted only with see the coefficient.

Example :

Solution from is 3.

Video III

The figure above shows the graph of if the function , is defined by , what is the value of ?

Answer :

Then, we change with 2.

So, the value of

Let the function be defined by , if . What is the value of ?

Answer :

, what is when ?

Fisrt, we must value of . With ways such as in below :

Second, we change in the equation become .

Third, we insert to where

Fourth, insert and to equation

So, the value of = 78 and 120

In the coordinate plane, the graph of intersect line at and What is the greatest possible value of the slope of ?

Answer :

Greatest =

Line =

is a slope.

Video IV

Function is VLT

Function is HLT = invertible.

Example 1 :

How many value of

The first we moved equation become

Then

From sterp 1, we can find

1. Value of is

2. Value of is

So,

Example 2

From equation in above we multiply right internode and left internode so, the equation become

is asymtot

We move equation in variable become equation in variable so the equation become :

Nama : Dina Nerisa

NIM : 07305144003

Prodi : Matematika NR 2007

Mata kuliah : Bahasa Inggris 2

Email : dheena_cut3@yahoo.co.id

No.hp : 085292974835

The Kind Of Communication

In generally, intelligence local someone is divided into 3, two among them are emotional and spiritual. With this intelligence someone can carry out a communication with the other person. Communication is a process of information delivery (order, the idea ) from one side to the other side in order to happen affect each other around both of them. Communication is an important in our life. Because, within communication, people will not know about something in the word, such as knowledge, news, and so on. Generally, communication is carried out by using words (oral) that can be understood by the two sides. Communication is divided into several sorts. In below there four kind of communication. That is :

1. Spiritual Communication

2. Material Communication

3. Normative Communication

4. Formalize Communication

Spiritual communication is lowered communication. Because this communication is connected with the conviction someone. For example: the practices believe to the Lord, in the matter listen to adz an. During adz an reverberate necessarily we do not sound, We must listen well to the voice adz an this. So, we can know what the mean from adzan voice. Listen adzan voice make people become remember to God, and work a obligation, that is pray. And this matter don’t leaved.

Highest communication is normative communication. This communication is very close his relations with how we to develop the talent. For example: make blogger, edit, posting and still many others. And this communication can teach us about good and bad points of an action. Because in this communication apart from be connected with how we to develop our talent, but also am connected with action good and bad points someone.

Whereas lower communication is material communication and higher communication is communication formulize. Material communication connecting with things. This communication more press to something in there world. Spiritual, formulize, and normative is the form of the problem in communicating.

The position of English personally, in communication apart from as the international language also is used for spiritual communication and normative communication. English is the language that is used in the international community, so we must study English well. Apart from the school, we can also study English from the magazine, the internet, and still many others the media that can be used by us to study. In the school for example, by us study English with effective, we must also be active, only do not passive, Active here his intention we must be able to dismiss sparkling ideas. For example in a discussion, we must have the question for paper that was explained this. In here, we must also study speaking english, ang also listening english. Because study english in generally there four kind that is reading, writing, listening, and speaking. Four matter mentioned is based to study english.

Communication is very identical to the language. In the language have plenty of terms. Moreover also have a language illness, among them: the Technique vocal and the unit vocal. Apart from communication is carried out orally communication can be also carried out in the world Maya. For example through blogger, fraudster, the email and still many others. With the sophistication of this current communications equipment someone can communicate with the person in the corner of the world, in fact foreign. The sophistication of this current communication makes us can be more efficient time, money, and the power. And the problem that is dealt with by most people is them cannot undertake or also use the sophistication of this communications equipment. For example in use blogger. Most people at the moment still cannot use blogger. Only certain people that could make or use blogger. Steps to make blogger not is difficult. As for his steps am as follows:

1.We must make beforehand the email address good in yahoo or g-mail, but according to my experience more easy use yahoo than gmail. But to make a blogger, use gmail is actual.

2.After being finished make the email address, we are opened http:blogger.com/, and we follow available steps there.

In the world of our mathematics also can use blogger as the study media us. For example to send some exercise or send task. And to increase our capacity in access blogger, we must always practice and read the book about multimedia.

Mathematics in Blog

At the time of the modern self as now, people communicate not only with the look in the face, such as days of old. Where this matter only can do if the people meet with other people. Days of old if you want to know the news with someone at the far place, you will send the letter. So that is not very efficient. Require a long time. And we can only read the writings. Along with the development of the age, appear phone. So that we can hear voices people who talking with us.

Actually, the phone not yet enough. Because it is still less simple. Can only be used when at home, or in a building. Then, with the sophistication and technology with the human intellect, so now we can use a mobile phone. Mobile phone first appear only used to write brief short or more popular with the short massages services, and to call. However, now usefulness of mobile phone to become multi-function. Can be used for photos, video, and can also used to video call or calling someone but we not only hearing voice but also see him. It can also be used for the Internet.

Blessing to the sophistication, people can also communicate through the Internet. That is known as the term chat. We can communicate with someone in different country. The longer the communication did not recognize boundaries. If the past we must meet to communicating, but now also can communicating with someone without meet with him. In addition to chat, the Internet functions as a source of information. Because the Internet's main function is to provide information.

Internet now is not a new thing for us. Internet was included in community life. Even people willing to sit several hours at the computer. Also, many sites in internet which is used by us. Which we know as usual yahoo, google, friendster, blogs, and so on. So at this time almost everyone has an email address for communication. Also matters which is open in internet. Starting from the form of any posts, such as articles, papers. Also in the form of images, such as photos, pictures or cartoons. Even we can also see the video. So that the internet has a lot of good in the life of the community. As can see the information, you can download the application, can also search for friends, such as chat or as a member of friendster. We are also able to publish our paper. Namely through the blog.

Blog is one of the Internet site, which is used to publish the paper so that we can viewed by others. Create a blog, make the same is email. With the blog what we like to write poems, papers, articles, and so can be displayed and read by other people. With have a blog, we can also receive comments from other people. So what can a lack of maintenance. Blogs have many advantages such as increase the knowledge and insight, because it has a blog and has follower we can read what they write and can add insight and knowledge we work with do not cheat them. Both create creative ideas, as someone who has a blog certainly will not leave empty own blog, at least something is published, it would make us appear creative power to create something. The three have the opportunity to read people, someone should have a blog dare publish what they write, so it can be read by others. The four were given the opportunity to provide comments, make the writing and reading someone of course nothing can be perfect so that the comments, this can improve the error or lack of any posts from us.

While the blog is not only just for writing papers, poetry, or something that is reading. Blogs can also be used in the field of mathematics. We know mathematics is numerology. Perhaps most people say that any posts in the mathematical certainly only contain numbers only. Perhaps there was only a formula. However, with the blog for mathematics, mathematics became more interesting to learn more. The role of mathematics in the blog is to introduce mathematics as something of interest on the public., Can be used as a medium for learning mathematics learning of mathematics in the classroom can only be able to make students bored and saturated, so with the blog, students can learn from there. We also find the material - the material in mathematics from the blog published by other people. Can explore matter of mathematics from various sources on the blog. Can discuss the matters of mathematics.

With blog, we can show formula of mathematics with interesting. This matter will make someone interesting with mathematics, especially children. Formula of mathematics made animation so everyone who is see will interested to read. Blog also can show mathematicians such as Erasthotenus, Galileo, Christian Huygen, Keppler, pythagoras, fibbonaci, Pascal and so on. With formula who are they created. So we know, the formula of hypotenuse right triangel come from Pythagoras. Pascal triangle from Pascal and so on.

So that mathematics also need to promote the blog areas of mathematics. Mathematics is also the least interesting to learn, because math is needed in various fields.