Tuesday, June 23, 2009

Logarithm

Task 1

A to the power of m times a to the power of n equals a to the power of m plus n in bracket. A to the power of m over a to the power of n equals a to the power of m minus in bracket. Logarithm b to the base a equals n, so b equals a to the power of n. logarithm a to the base g equals x, a equals g to the power of x. logarithm b to the base g equals y, so b equals g to the power of y. What about of logarithm a times b in bracket to the base g??? Answer:

1. Logarithm a to the base g equals x, so a equals g to the power x.

2. Logarithm b to the base g equals y, so b equals g to the power.

3. a times b equals g to the power x times g to the power y.

4. a times b equals g to the power x plus y in bracket.

5. Logarithm a times b in bracket to the base g equals x plus y in bracket Logarithm g to the base g. (Logarithm g to the base g equals one)

6. So, Logarithm a times b in bracket to the base g equals Logarithm a to the base g plus Logarithm b to the base g

a over b equals g to the power x over g to the power y. a over b equals g to the power x minus y in bracket. Logarithm a over b the base g equals Logarithm g to the power x minus y in bracket.

Task 2

Equation :

1. a x to the power two plus b x plus c equals 0.

2. a x to the power two plus b x equals minus c

3. x to the power two plus b over a x equals minus c over a

4. x to the power two plus b over a x plus b over two times a in bracket to the power two equals minus c over a plus b over two times a in bracket to the power two ( plus b over a x plus b over two times a in bracket to the power two both internode)

5. x plus b over two times a in bracket to the power two equals b to the power two minus four times a times c all over four times a to the power two.

6. X plus b over two times b equals plus minus root square of b to the power two minus four times a times c all over four times a to the power two in bracket.

7. X plus b over two times b equals plus minus root square of b to the power two minus four times a times c in bracket all over two times a.

8. X one or x two equals open bracket minus b plus minus root square of b to the power two minus four times a times c close bracket all over two times a.

9. If a x to the power two plus b x plus c equals 0, so a, b, c, part or number Real and not zero.


Tuesday, June 2, 2009

It Is a Must that I Have a Competent in English for Mathematics Education

The ability to speak English is one of the very ability to determine the gain in employment of late. This is the phenomenon that underlie the emergence of a range of English courses in the whole of Indonesian. Indeed, irrespective of how the quality of the courses of English in Indonesia, the implied concern that a situation that is less good quality of teaching English in schools.
Logically, we can not be argued that courses in such English The growth in Indonesia if the results of teaching English at the school was satisfactory. If the case, then English is only intended for special interests to obtain a certificate as TOEFL, IELTS, and others and is not intended to improve the ability of English in daily life. But in reality, the majority of English courses that are intended to improve the ability of English in daily life, not for other goals.
Like in mathematics education, each student also recommended the English language have the ability to recognize the words in the English language of mathematics. UNY mathematics education in the existing international class which is the motivation for students to advanced in English-speaking, TOEFL and good conversation among students. Due to go to class in international mathematics education, students must meet the requirements - requirements that must be fulfilled. For example students should have already determined the TOEFL and have the average GPA - 3.5 or above average cum laude. In addition, the stages in the class with the national Indonesian language students are also taught about the use of words in the English language of mathematics. Because they are not denied this right now more and more schools - the schools and the most international in the entrance test to be employees of the use of English, although only slightly. Although learning the English language students will also have a lot of obstacles but it is all solved as follows. Some of the problems that, according to the students, preventing them to master English. The issues are:
  1. Infrequently lecturers speak with English in the classroom. This is felt by preventing students because according to them, so they do not listen to other people speak English.
  2. Subjects too on grammar (and not in the conversation), but students rarely are given directions on how and what the function of the elements of grammar that they learned it.
  3. Vocabulary that is taught is not too useful in everyday conversation.
With problems such as the above, the mathematics education students must master the English language? English is the international language used by all countries in the world. The role and influence of the English language is very big in life, especially related to education, from the school with the lowest to the highest level of the Playgroup/ Kindergarten - Universities and in the world of work, the English language has also become a requirement if you want to get the absolute work in a company that both local and foreign. Therefore, can not be denied that the English language is important in although found in the control of a lot of obstacles, especially for countries that use English as a second language, one of which is Indonesian. which among others is still a lack of motivation and courage to speak English, still lack the knowledge of the English language, the mind set of people assume that English is difficult, After what the benefits and usefulness of English, What should be done in mathematics education students in the English language?
1. Learn every day
Try to allocate some time each day to learn English. Ideally the brain when we are able to receive well. Better to study 30 minutes per day than 3 hours per week. If it can provide time-per, try to share a 2 or 3 sessions. For those who work in office, may have only a few hours as in the rest. Most important is that we (students in mathematics education) can take the time to learn English even though the goods while.
2. Review regularly
Students repeat each material already learned several times. To give time to the brain for consider materials, but make sure that the distance of each material is not too long, for example, more than a few weeks. If not, students may concern forget what is learned. And ensure students have understood the content of the material before proceeding to the next.
3. Focus on things of interest
Once the students have to understand the basics of the English language, both flee practice reading / writing / speaking on matters of interest. In this way will be easier to remember words, phrases and grammatical. Because basically if we like something it will be easier to apply. For example through music. If you like to sing but not too interested in the English language, please start looking for songs that speak English well and we like singer well as voice and her or his face. If we pleased with the track, we will try to understand the meaning of music. Well, indirectly we have favor with the English language because that song.
4. Raise read books, articles, writing in the English language
At the beginning of the reading will have a lot of vocabulary that students do not know. Do not give up easily. interpret each word with the help of the dictionary, and write the meaning of the word underneath. If done continuously in a few weeks then we will stop to open the dictionary every 2 minutes to read any posts in kind.
5. Note sounding words
Indeed, sometimes very difficult to say a word the English language well, but not does not mean impossible. Slang will not be lost, but try to pay attention to pronunciation. The first must do is control of the alphabet, and then note that phonetik often included in the dictionary.
6. Raise vocabulary
Students spend approximately 15 minutes each day to learn new vocabulary. Can repeat with vocabulary obtained from the literature, tried consider song lyrics, or attempt to catch the film favored dialogue. Write a vocabulary that has been learned in a special book to write. With the vocabulary will not be lost.
7. Try write in English
No direct means must write articles or works of literature. Self-expression short sentences, followed by a short paragraph. Then try any posts in their own corrections. Do not always rely on Word Spelling Check, because this function can not be relied upon to check the grammar error.
Self-discipline and follow basic grammar rules with the patient. No need to hurry to write the sentence that is long and complex. Start with a short sentence with a simple vocabulary. For example in the task of the English language lecturers. Try re-write a story or conversation in the video that was shown when the lecturers teaching the English language course. Or try to write back to text speak Indonesian in the English language.

What I Have Done and What Will Do About English of Mathematics

English mathematics is one of the subjects in the whole semester. This course is a general course and consists of 2 SKS. in a week there one time and 100 minutes of each meeting. That I have got from studying the English language is writing, reading, listening and speaking - proficient.
At the beginning of the lecture, the lecturer ( Mr. Marsigit ) explain, describe and explain a basic topic or discussion about the English language using the English language. Temporary lecturers ( Mr. Marsigit ) teaching, my students and others who listen to all that is described, and are presented by lecturers.
In addition to listening to the lecturers and teaching, the lecturers also showed a video about the mathematics as an example: theorems about Pythagoras, exponent, power and root. Graphic intersects line, properties of logarithms, pre calculus, polynomial, Trigonometry, etc.
From anything that I have heard and I seen from the lecturers and from the video, and I noted the important principals. From the main principals that I have written before, and I developed become a paper that using the my own simple words, simple expressions and also a simple task.
From a summary of the essence and then I read again if there is confusion or lack of writing after in the task I have is correct, the task I collect form in and out of print in the blog posting each student. Before correct - correctly collected and the post we should know right from the paper's contents. If a teacher asked him about when paper’s contents that we made, we can explain and re-told the contents of the paper that the student that usually called talking. And that's all I ever have or do I have the task in accordance with the time specified by lecturer. I will do to study the English language is fill my blog with the paper that I collect and sum - sum subjects with complete English language.
Learn more learn by words - words in the English language and to read any posts to speak fluent English in order to pronounce any posts speak English and have a word - a word in the English language. With English I apply mathematics to fill blogs language in English I applied in reading blogs, magazines, novels, stories in the English language.