Jumat, 27 Maret 2009

REFLECTION OF VIDEOS

VIDEO I
DEAD POET SOCIETY
In this first video, I can see there are so many unique things that appeared from the story. This video told us about a teacher is a class that teaching his student in different way. He wants to make his students having a lot of courage and spirits to face everything in this world.
Firstly, the teacher told about Shakespeare who write something interesting and it make the other people enjoy with it. Sometimes, the teacher also gives some examples about the dialogue in drama. He looks so happy when all of his students in that class interested with what that he said to them.
The teacher also gives some beautiful words to his students. He said that we must always look at thing from the different ways because if we can see for example if we see the problem from different way, exactly we got the solving problem from it. And the second motivation is the teacher want to build the self confidence to his students. He shows that he can get a great spirit when he believes that his self can do it.
The teacher move up to the table in front of the class and the students see him with a lot of curiosity, but at that time the teacher said with the load voice, he said that if we want to get the self confidence, we must has an assumptions that we are the greatest person and we can do everything that we should do. So, after this section, the teacher asks the student to also climb the table one by one. He wants to gives a good motivation to his students to always having the self confidence and always having a good spirits to face every problem.


VIDEO II
THE GREAT SHOW
In the second video, I can see there is a show that shows a child who has a great spirit and he also told a beautiful poem. The poem was said about the spirit, the motivation, the trust, and everything in feels mathematics. We must not only learn mathematics by calculating and remembering the role and formulas, but something deeper from it’s that is we also must know the essentials meaning and the usage the mathematics in our life.
The child makes all of audience in that show was very interested with what that he said. So much applauses and shouts sent to the child. He said his poem by confident and it makes the audiences exactly knows what’s the meaning inside the poem.
The poem can makes the audience get the spirit to love mathematics from the heart. Because of we believe in mathematics so we can be the good mathematicians. So, thank to the child, you can successfully makes the other people believe in their selves that they can do it.


VIDEO III
WHAT’S YOU KOW ABOUT MATH?
In this third video, we can see there are two or may be more than two people singing the rap music and the song tells us about mathematics. In that video, we can see the people who sings that song is the great people who having a big spirit and motivations to find the way how to learn mathematics. Sometimes mathematics makes some people feels confuse and they thing m mathematics is difficult. But, the reality we want or not, we must learn it because mathematics is the most important science in our life.
There are a lot of problems in mathematics because when we want to learn it there’s something too hard to understand the role and formulas. So, in that song, the singers want to help us in study mathematics, and we can learn mathematics by simple way. First, we must having a big spirit to learn it, and the next way is we must try to write some formulas to some papers and put it in the wall of the class or may be our room.
We also sometimes can use the calculator and find there are some unique formulas. And from the song too, we must applied the mathematics to our life if we want to learn it. The trigonometry, logic, integral, exponent, and etc are the material that we must know in mathematics. So make it come true in our life. And finally we can say “I know all about math!”


VIDEO IV
SOLVING THE DIFFERENTIAL EQUATION
In this video, we can learn how to solve the problem in differential equation. For example is:
We want to solve this problem Dy/Dx = 4 x^(2 )
To solve it, we must do, first integrate it (Dy/Dx = 4 x^(2 )) so we can get this formula: ∫▒1 dy= ∫▒〖4x^2 〗 dx
And from this integrating system from whole equation we can get:
y = 4/3 x^(3 )+ C ( y equal four third times x cubic plus c), with C is constant
If we want to know the curve, we must represent it to curve from this equation.

VIDEO V
SOLVING ALGEBRAIC PROBLEMS
We can see the way how to solve some algebraic problems from this video.
For example =
x – 5 = 3 ( x minus five equal 3)
To can solve it, (solve here is we can get the value of x), the steps are:

By adding the right side and left side with 5.
X – 5 +5 = 3+5 (x minus five plus five equal three plus five)
And we can calculate it.
X minus five plus five is equal x + 0 that is x, and in the right side, is three plus five equal eight. So, we can get
X= 8

7 = 4a – 1 ( seven equal four a minus one)
If we want to solve it, that is to get the value of a, we must firstly adding the right and the left side of that problem by 1, we do it to make the right side is only 4a. So, the problem being :
7 + 1= 4a (seven plus one equal four a)
So we can calculate it 8 = 4a
From it, we can see that a is two, it’s come from a = 8/4 =2 (a equal eight fourth equal two)

2/3 x = 8 ( two third x equal eight)
If we want to solve it, first way is we must times the right and the left side by 3/2 (three second) because we want to get the value of x as a variable. So, the pattern is:
3/2 .2/3 x = 3/2 . 8 (three second times two third x equal three second times eight) So, we can get x = 12

The next problem is 5 – 2x = 3x + 1 (five minus two x equal three x plus one)

The first way to can solve it is adding the left and right side by minus 3x, so the pattern will be:
5 – 2x - 3x = 3x + 1 - 3x
(Five minus 2x minus 3x equal five minus 5x, and 3x plus one minus 3x is equal one).
5 – 5x = 1
The second way is by adding the right and left side by minus 5.
– 5x – 5 = 1 – 5 (five minus five equal one minus five)
-5x = - 4 (negative five x equal negative four)
So, the next trick if we want to find the value of x as a variable, we must dividing the whole equation by negative five ( -5 )
(-5)/(-5) x = (-4)/(-5) (negative five over negative five times x equal negative four over negative five)
So, x is 4/5 (four fifth)

3 – 5(2m – 5) = -2 (three minus five times open bracket two m minus five close bracket equal negative two)
To finish that equation, we must first make this equation being
3 – 10m + 25 = -2 (three minus ten m plus twenty five equal negative two)
And the next is calculating and it being:
-10m + 28 = -2 (negative ten m plus twenty eight equal negative two)
If we want to find the value of m, with the same system like the numbers before, we must adding the whole equation by negative 28
-10m + 28 -28 = -2 -28 (negative ten m plus twenty eight minus twenty eight equal negative two minus twenty eight)
-10m = -30 (negative ten m equal negative thirty)
And we can find the value of m is 3, by dividing the whole equation by negative 10.

1/2 x + 1/4 = 1/3 x + 5/4 (a half x plus a quarter equal one third x plus five fourth)
To can find the value of x, we can do:
First is times the whole equation by 12, it because 12 is the GCD of 2, 3, and 4 from that equation. So, the equation being
12 (1/2 x + 1/4) = 12 (1/3 x +5/4) (twelve times open bracket a half x plus a quarter close bracket equal twelve open bracket one third x plus five fourth close bracket)
6x + 3 = 4x + 15 (six x plus three equal four x plus fifteen)
To continue our work is we can move the 4x from the right side to the left side to make it gather with the 6x, and the next, we can calculate it easily. And we also can move the 3 from left side to the right side to make we can easily calculate it to find the value of x. So, the pattern of that equation will be:
6x – 4x = 15 – 3 (six x minus four x equal fifteen minus three)
2x = 12 (two x equal twelve)
And we can see here if x is 12/2 (twelve over two) = 6

T he next algebraic problem is :
0.35x – 0.2 = 0.15x – 0.1 (oh point three five x minus oh point two equal oh point one five x minus oh point one)
To can find the value of x, we can start the way to answer it by times the whole equation by 100 (one hundred) to make it easily to calculate. So the pattern will be:
100 (0.35x – 0.2) = 100 (0.15x – 0.1) (one hundred times open bracket oh point three five x minus oh point two close bracket equal one hundred times open bracket oh point one five minus oh point one close bracket)
35x – 20 = 15x – 10 (thirty five x minus twenty equal fifteen x minus ten)
With the same way from the upper number, we can see that it being:
35x – 15x = -10 + 20 (thirty five x minus fifteen x equal negative ten plus twenty)
and we just calculate it
20x = 10 (twenty x equal ten)
So, we can find the value of x is a half, it from 10/20 (ten over twenty) = 1/2 (a half)
From the examples, we can learn about the basic way to solve the algebraic problem, it is very important because the basic system is very usable in our process to learn mathematics. So, I wish it can give us some knowledge.

VIDEO VI
LAW OF LOGARITHM
In this video, we showed about some proof from the theorems in logarithm, it will be so important to us because we as the student who learn mathematics.
The first thing that explained here was about the basic principle in logarithm. That is about the pattern of logarithm.
If we have a number with the pattern like this, for example x to the b equals a
x^b = a, we can explain it into the logarithm pattern and it being
〖log〗_x a = b (read: log with the base x from a equals b)
The next are about some law of logarithm with the way how to can find it.
〖log〗_x AB= 〖log〗_xA + 〖log〗_xB (log base x A times B equal log base x A plus log base x B)
If we want to know how to can get that law is we must study this proof:
Assumptions:
〖log〗_xA = L (log base x A equal L) means 〖 x〗^L = A (x to the power of L equal A)
〖log〗_xB = M (log base x B equal M) means x^M = B (x to the power of M equal B)
〖log〗_x AB = N (log base x A times B equal N) means x^N = AB (x to the power of N equal A times B)
From these assumptions, we know that:
〖log〗_x AB = N ⇒ x^N = AB (x to the power of N equal A times B)
x^N = 〖 x〗^L. x^M (x to the power of N equal x to the power of L times x to the power of M)
x^N = x^(L+M) (x to the power of N equal x to the power of L plus M)
So, we can conclude that N = L + M (N equal L plus M)
And from it we can see that 〖log〗_x AB = 〖log〗_xA + 〖log〗_xB (log base x A times B equal log base x A plus log base x B) is true.

〖log〗_x A/B = 〖log〗_xA - 〖log〗_xB (log base x A over B equal log base x A minus log base x B)
With the same way like at number 1 above, we can see how to can get that law. So, let’s we start it.
Assumptions:
〖log〗_xA = L (log base x A equal L) means〖 x〗^L = A ( x to the power of L equal A)
〖log〗_xB = M (log base x B equal M) means x^M = B (x to the power of M equal B)
〖log〗_x A/B = N (log base x A over B equal N) means x^N= A/B (x to the power of N equal A over B)
From these assumptions, we can get:
〖log〗_x A/B = N ⇒ x^N= A/B (x to the power of N equal A over B)
x^N = 〖 x〗^L/(〖 x〗^M ) (x to the power of N equal x to the power of L
over x to the power of M)
x^N = x^(L-M) (x to the power of N equal x to the power of L minus M)
So, we can conclude that: N = L – M ( N equal L minus M)
And from it we can see that 〖log〗_x A/B = 〖log〗_xA - 〖log〗_xB (log base x A over B equal log base x A minus log base x B) is true.
That’s all about that I gave from watching the video I until VI, I hope it will be usable to us and I’m so sorry if there are so many mistakes. And I will very happy if some people want to correct my work.

Selasa, 17 Maret 2009

My Reflection in Learning English


One day at March 12, 2009 I’ve got an exercise from Mr. Marsigit as my lecturer of English II. The first activity that that must we do is praying before begin that class. So, after praying he asks us to prepare one sheet of paper and a pen. So I was very nervous because I think I am not really has a good preparation for this unplanned exercise. When Mr. Marsigit at that time starting his instruction to answer some questions, I just can preparing my self to be calm and can thinking seriously. Mr. Marsigit starts with number 1, 2, and 3 and continued to latest number. It’s all 50 numbers of questions.
I think that it’s not too difficult questions if I prepared my self before, but I think that my work is not too good because I have not prepared my self before. In that exercise, Mr. Marsigit always remembers us to be honest in every part of job, every part of life. Because he thought that honesty is the most important thing that we must has to be a succeed person. He also asks some students to move to other chair when he looked there are some unwanted activity of the student. I think that’s very good to make us always has self confidence.
When the test was ended we start to make a correction from the result of that test, so finally I’ve got not good mark from this exercise. I was very disappointed and really sad, because from that mark I know that I am not too good in this lecture.
Mr. Marsigit also thought that it’s not too good mark enough from us. Mr. Marsigit told us that we must take a change and use it to be the process if we want to be better from before. We must be always doing the self reflections because the mark is showed that all of student in my class is not too good in English lecture especially in English of mathematics.
After the test, Mr. Marsigit told us a real story about a student from USA that got an international scholarship. Before she get the scholarship, she must pass the TOEFEL test by excellent. She is a student like us that has a good competency and very smart to make challenges to be a change. So we as the student too, we should always has a good competency.
Mr. Marsigit called us like a child of bird that still has no fur, so when we want to fly, we can not do it. Mr. Marsigit compares us with the student from USA. He told that she alike a child of bird that has the fur to make her be able to fly into the sky and reach her dreams. So, from this comparison Mr. Marsigit hopes we can get the fur too to can fly like her. The way to can reach our dreams is we must leave the laziness and we must take a change and challenges. Although in some ways we fail, but we not must to surrender.
The question that appeared after this is how to improve our competent in mathematics, English, attitude and etc. one of that way is by answering “How to use preference?” If we can use the preference by maximal, we can get a lot of materials and it can make us cleverer than before. There are so many ways to use the preference, for example is attended the lecture, using internet access and always search information from other people.
If we want to be a good person, we must always thinking about the greatest and the biggest dream. After we have some great dreams, we must search the way how to make that dreams comes true. The only one answer is we must have no fear factor when we pass some problems.
From the test, the result of the test, from the Mr. Marsigit’s advices, finally I know that I must be strong when passing the hard problems that I find in journey to reach my dreams, and always keep our curiosity with everything and always trying to find the answers of it. It’s all about the reflection in learning mathematics.
I was found from here that life is a struggle to be better and better. So, according me I see that life is the changes and the challenges, and we must take it to can make us better. My second assumption of life is there is just only two results in the end of life, failed and succeed. So what’s your choice?

Selasa, 10 Maret 2009

The definition of Mathematics


In the first time when we learn about mathematics, sometimes we want to know about what really mathematics is? What are the functions of mathematics in our life, and etc. We were learning mathematics in every stage of school that is in elementary school, in junior high school, are in senior high school. But, are you know that there are some differences from mathematics in that schools and mathematics in university? Yes, because according Mr. Marsigit there are two types of mathematics. The first is school mathematics and the second is pure mathematics or applied mathematics that we usually get this one in university.
Some or may be almost people in university think that mathematics is very abstract and it means not need to use the actual object. But, the object of it is the abstract idea in your mind. Mathematics as the branch of science actually has a formal and material object. This is thinking thing or abstract ideas in your mind.
The next problem that we found in study mathematics is how to learn it. There are two ways to get the abstract object in mathematics:

1. Abstraction
The means of abstraction here is different from abstract, because abstract means something out of physical object. But, the only one thing that will be the essence of abstractions is value. For example, we know that we can get too much assumptions number 5, but we just need and talk about the value of this number in mathematics, not about the other assumptions. Not about the colors, the taste, the materials, and etc.

2. Idealization
What is an idealization? Idealization is some assumptions or some actual imaginations to think about mathematics. For example, we know that in this world there is no really cute angle, because every goods in this world are consist of molecules that has a very small measure. And in molecule there are some atoms. And in each atom, there are some electrons that have the circle orbits surrounding the centre of atom. So we can conclude that although we can see that the needle is an example of cute angle, but that is actually wrong because the smallest thing in the top of needle is an electron orbit or electron. So we just can see the really cote angle is in our mind.

We are going to talk about what is the definition of mathematics. Mathematics is structure of systems that built with deductively methods. It consists of the definitions, some axioms, theorems, lemmas, formulas, and the role of pattern. And the characteristic of mathematics is logically compound and always be consistent when obey the roles.

According Prof. Kayestesi, mathematics consists of two things, which are:
1. Conjecture
Conjecture is to think or to predict something in our mind.
2. Convince
Convince is to communicate the result of some search to other people. We can communicate it by a lot of ways. For example, by the test, by write it in some journals, or by write it in blog.


The next definition of mathematics is from Prof. Katagiri from
Japan, he said that:

Mathematics is mathematical thinking. Mathematics is not come from books, not from encyclopedia, not from computer, but just from our mind.
There are three components of mathematics thinking:

- Mathematics Attitude
Mathematics Attitude is shows by always has a question. Always positive thinking always be consistent and critical, and always be careful.
- Mathematics Methods
Methods in Mathematics are how to learn Mathematics. There are So many ways to learn it, for example:

Deductions Method
It means explaining something from general to specific items, for example, if we meet someone and know him or her, we a the first sight is just know about the general characteristics, but if we always meet him or her, we can know him until the details characteristics.

Inductions Method
Inductions method means we look something from specific items to general items. For example, we study mathematics in the first time from learn 1+1=2, 2+1=3, 3+1=4, and etc. And after that we learn about something larger from it. That is an example from inductions method.

Syllogism Method
It is the method that taking a conclusion according some
premises or some statements. To be the example is:
Lyra is student.
Every student has an id card.
The conclusion: Lyra has an id card.


Logical Method
It is about mathematics sentence and mathematics prepositions. Mathematics sentence is the sentence that from that we can take a conclusion it is true or not.

And the other methods are:

If then Statement
If and If Then Statement
Direct Proof
Indirect Proof
Incomplete Induction

- Mathematics Content
Mathematics content is the object of mathematics too because in it
there are so many roles and the fixed assumption that used to the source.

Rabu, 04 Maret 2009

first task in english

An Introduction to English II

Nowadays when English is being the most important international language in this world, we as the social human who need the another people in every part of job, we exactly need the ability to can make the good communication.
An introduction to English II, Mr. Marsigit as our lecturer told that it is time to learn English and it is our first way to reach the good English practice. Although sometimes to start is more difficult then to continue, but if we want to be a competent person we must do this steps:
First is about motivation. Motivation is a great courage and a big spirit that come from the heart, big spirit to learn, to enjoy, and to be happy while do something. We can also build this motivation by praying, by having awareness that we can do it. Praying is the greatest way to build motivation because everything that we do is just oriented to God. And the another important thing is we must always think that we are the English. Because if we think our self is it, we can more diligent to always make we more and more good in English. So, let our motivation growing up in our heart and finally it can make we want to start it from the smallest thing, start from our self , and start it now.
The second thing after motivation is attitude. If we want to reach some targets we must make our attitude better and better, beside that we must also make our attitude suitable with our dreams. For example if we want to can develop English, we must practice it, and don’t be scare or worry if there are so many problems when we face this way. We just believe that we are on the right track to reach all of our dreams, and make it come true.
Understanding is the third thing that we should do. Understanding here is analogue with having a responsibility. That means we care with everything for example we care with our self, our family, our nation, our dreams, and our environment. If we have a good understanding, we will be a peaceful person who has a big effort to make everything better.
English as an important language, understand about the communication in English be the core thing in here. We can make a communication by reading, by writing, by hearing and etc. If we do that job, we’ll make our self nearer with English. If we near from our dreams, it will be come true soon.
Skill is one thing that we must make it better and better every time. If we want to develop English, we must practice it as much as we can. For example see the TOEFEL CD, listen to the English dialogue and attending the bilingual presentation.
The last but not the least is experiences. Experience can make us aware about our self. And if we have a good awareness, we can be more adult, and it means we can think wisely. Think that every problem is can be solved. Like this English II lecture, we also find so many problems when study this lesson. So, we must facing it wisely too, by keep our spirit to always build the motivation, good attitude, understanding, skill, and experiences.