WHAT I HAVE DONE AND WHAT I WILL DO ABOUT ENGLISH FOR MATHEMATICS
English is the global language, and is used by many countries. English are also divided by British English and U.S. English. English is the language of communication between country. comunication s are in good diplomatic relations, employment, language and science. Discoverer knowledge that comes from many different countries. for it, to unify knowledge will be incorporated into the language so that one can be understood and usable by all over the world. we need to know about mathematics well. In addition, we also need to have a good ability in English. Because English is important in this world. If we want to apply a job, we must have competence in English. If we want to search for scholarships, we need both in the UK. A way to measure our ability in English is to TOEFT test. If we TOEFL good results, our opportunity to get what we want, such as scholarships and jobs easier. English can help us to introduce us to the world.
one of science is mathematics. in this text I will explain about what I have been doing and what will I do about english to math. English as a language that is important, understanding of communication in English to be the primary here. We can make communication with the reading, with writing, etc. If by hearing the work we do, we will make ourselves close to the English language. what have I to do about english math is trying to apply the words right. because in english there are some differences between the global and the use in mathematics. all of that depends on the context of sentence. for example: power, root, value, etc. for that we must apply the word appropriately.
when I still in school, the use of mathematics in english language is still simple. but ,after studying in step 1, introduced a lot about the English language is widely used in th e world of mathematics. subjects in English 1, introducing the English language is still simple, but in the search material in other subjects is to help me in introducing new words in the English language of mathematics. subjects laen example is the history of mathematics. in the history of mathematics, introduced the philosophy of mathematics and inventor. while the inventor-inventor is not derived from indonesia country, the delivery of discovery materials in the English language. most of the history of mathematics using the English language. in the encyclopedia is to use the English language. This is because the science that can be used by all the world. in the English language in section 2, I have learned many vocabulary in English. not only that, in the English language in 2 lots of material that must be collected, and use the English language.
I faced the problem of the English language in terms of mathematics. I used to use English in conversation, and so is rarely used in mathematics lessons. So many words that I have already forgotten. The problem is on the other writings in the English language with a different spelling.
What i will do about english for mathematic. One way that is used is to create a reference, we can learn about many things from those references. One way to get the reference is to use the internet, because of the Internet we can see the world without it. And so a lot of important information that we can use to improve competent. Apart from the internet we can also find the CD from the market and TOEFL study with ourselves to improve our competence in the English language. But we must ensure that our reference is the right reference because if we take any reference akan mislead us.
I will try to be a competent people , with ;
1. Increase motivation. Motivation is great courage and enthusiasm that comes from the heart, enthusiasm to learn, enjoy, and be happy when doing something. We can also build motivation by this prayer, with the awareness that we can do. Praying is a way to build motivation for everything we do is oriented only to God. And another important thing is we must always think that our language is English. Because if we ourselves are thinking, we can be more diligent to make us more and better in English. So, let us continue to develop motivation in our heart and can eventually make us want to start from the smallest, ranging from our own, and from now on.
2. Have attitude. If we want to achieve some targets we must make our attitude is better and better, besides we also have to make our stance in accordance with the dreams. For example if we want to be able to develop the UK, we must exercise, and will not fear or worry if there are so many problems when we face this way. We only believe that we are on the right track to achieve all our dreams, and this becomes a reality. The third thing is that we must do. The understanding here is that the analog has a responsibility. That means we are all concerned with such as we concerned with ourselves, our families, our nation, our dreams, and our environment. If we have the better we will become a peaceful people who have big business to make everything better. English as a language that is important, understanding of communication in English to be the primary here. We can make communication with the reading, with writing, etc. If by hearing the work we do, we will make ourselves close to the English language. If we close our dream, it will soon become a reality.
3. Often Practicing skil. Skill is one thing that we need to make better and better each time. If we want to develop the UK, we have to practice this as much as we can. For example see TOEFEL CD, listening to dialogue in English and attend bilingual presentation.
4. Teacher of experience . Experience can make us aware of ourselves. And if we have any awareness of both, we can be more mature, and that means we can think wisely. Think that every problem can be solved.
The spirit remains with us to build motivation, good attitude, understanding, skills and experience to building good mathematic with english.
Sunday, May 24, 2009
Saturday, May 23, 2009
HOW TO GET THE VALUE OF PHI
How to get the value of phi?
To get the value of phi we can do these steps that are we must take some measure from some circle about the diameter. And after this part of the job, we also must find the measure of each perimeter of circles. We can make some assumptions about it for example for the first circle we call it a circle, and having a diameter and also having a perimeter. And the second circle called b circle and also having b diameter and b perimeter too. And if we take some measure from a lot of circle we can called its c circle, d circle, and etc.
We can find the value of phi by comparing the perimeter a with diameter a, perimeter b with diameter b, perimeter c with diameter c, and etc.
Phi = Pa/Da + Pb/Db + Pc/Dc + … dividing by the sum of comparisons.
From this comparison, we get the mean from each comparison,
finally, we find phi is 3.14 or 22/7 (twenty seventh).
To get the value of phi we can do these steps that are we must take some measure from some circle about the diameter. And after this part of the job, we also must find the measure of each perimeter of circles. We can make some assumptions about it for example for the first circle we call it a circle, and having a diameter and also having a perimeter. And the second circle called b circle and also having b diameter and b perimeter too. And if we take some measure from a lot of circle we can called its c circle, d circle, and etc.
We can find the value of phi by comparing the perimeter a with diameter a, perimeter b with diameter b, perimeter c with diameter c, and etc.
Phi = Pa/Da + Pb/Db + Pc/Dc + … dividing by the sum of comparisons.
From this comparison, we get the mean from each comparison,
finally, we find phi is 3.14 or 22/7 (twenty seventh).
EXAMPLE QUESTION FOR FINDING INTERSECTION
Find intersection
Find intersection of y equals x square minus 1 and y square plus x square equals 30.
Solving:
y square plus x square equals 30 is a circle has a radius of square root of 30 and centered in point (0,0) and y equals x square minus 1 is quadratic equation has vertex of -1. For to find a point of intersection we must to substitution y equal x square minus 1 to equation of y square plus x square equals 30.
y equals x square minus 1 become y plus 1 equals x square then this equation we substitution to y square plus x square equals 30, become:
y square plus y plus 1 equals 30, then 30 we transfer to left articulation become:
y square plus y plus 1 minus 30 equals zero
y square plus y minus 29 equals zero
Then, we find y variable with abc formula, become:
y equals minus 1 plus minus square root of open bracket 1 minus 4 times 1times minus 29 close bracket all over 2
y equals minus 1 plus minus square root of 117 all over 2,
so, y1 equals minus 1 plus square root of 117 all over 2
y1 equals minus 1 plus 10 point 81 all over 2 equals 9 point 81 all over 2 equals 4 point 905
y2 equals minus 1 minus square root of 117 all over 2
y2 equals minus 1 minus 10 point 81 all over 2 equals minus 5 point 905
For y1 equals 4 point 905, we substitution to x square equals y plus 1, become:
x square equals 4 point 905 plus 1
x square equals 5 point 905
x equals plus minus 2 point 43
For y2 equals minus 5 point 905, we substitution to x square equals y plus 1, become:
x square equals minus 5 point 905 plus 1
x square equals minus 4 point 905, because x square minus so this not valid.
So, point of intersection are 2 point 905 comma 4 point 905 and minus 2 point 905 comma 4 point 905.
Find intersection of y equals x square minus 1 and y square plus x square equals 30.
Solving:
y square plus x square equals 30 is a circle has a radius of square root of 30 and centered in point (0,0) and y equals x square minus 1 is quadratic equation has vertex of -1. For to find a point of intersection we must to substitution y equal x square minus 1 to equation of y square plus x square equals 30.
y equals x square minus 1 become y plus 1 equals x square then this equation we substitution to y square plus x square equals 30, become:
y square plus y plus 1 equals 30, then 30 we transfer to left articulation become:
y square plus y plus 1 minus 30 equals zero
y square plus y minus 29 equals zero
Then, we find y variable with abc formula, become:
y equals minus 1 plus minus square root of open bracket 1 minus 4 times 1times minus 29 close bracket all over 2
y equals minus 1 plus minus square root of 117 all over 2,
so, y1 equals minus 1 plus square root of 117 all over 2
y1 equals minus 1 plus 10 point 81 all over 2 equals 9 point 81 all over 2 equals 4 point 905
y2 equals minus 1 minus square root of 117 all over 2
y2 equals minus 1 minus 10 point 81 all over 2 equals minus 5 point 905
For y1 equals 4 point 905, we substitution to x square equals y plus 1, become:
x square equals 4 point 905 plus 1
x square equals 5 point 905
x equals plus minus 2 point 43
For y2 equals minus 5 point 905, we substitution to x square equals y plus 1, become:
x square equals minus 5 point 905 plus 1
x square equals minus 4 point 905, because x square minus so this not valid.
So, point of intersection are 2 point 905 comma 4 point 905 and minus 2 point 905 comma 4 point 905.
Explain how to get ABC formula
Explain how to get ABC formula
a times x square plus b times x plus c equals zero
1. Eliminated coefficient
x square plus b over a in bracket times x plus c over a equals zero
2. x square plus b over a in bracket times x plus b over 2a in bracket square plus c over a equals b over 2a in bracket square
3. open bracket x plus b over 2a close bracket square equals b square over 4 a square in bracket c over a
Equals b square minus 4 ac all over 4 a square
4. x plus b over 2a = ± the root of b square minus 4ac all over 4a square
5. x equals minus b over 2a ± one two a in bracket times the root of b square minus 4ac
6. x equals minus b ± the root of b square minus 4ac all over 2a
a times x square plus b times x plus c equals zero
1. Eliminated coefficient
x square plus b over a in bracket times x plus c over a equals zero
2. x square plus b over a in bracket times x plus b over 2a in bracket square plus c over a equals b over 2a in bracket square
3. open bracket x plus b over 2a close bracket square equals b square over 4 a square in bracket c over a
Equals b square minus 4 ac all over 4 a square
4. x plus b over 2a = ± the root of b square minus 4ac all over 4a square
5. x equals minus b over 2a ± one two a in bracket times the root of b square minus 4ac
6. x equals minus b ± the root of b square minus 4ac all over 2a
PROVE SQUARE ROOT OF 2 IS IRRATIONAL NUMBERS.
PROVE SQUARE ROOT OF 2 IS IRRATIONAL NUMBERS.
To prove that the length of the diagonal of a square of unit side cannot be represented by rational number it suffices to show that square root of 2 is irrational. To this end we first observe that, for a positive integer s, s2 is even if and only if s is even. Now suppose for the purpose of argument, that square root of 2 is rational, that is, square root of 2 =a/b, where a and b are relatively prime integers. Then
a = square root of 2b
or
a2 = 2b2
since a2 is twice an integer, we see that a2, and hence a, must be even. Put a =2c. Then the last equation becomes
4c2 = 2 b2
Or
2c2 = b2
From which we conclude that b2, and hence b, must be even. But this is impossible since a and b were assumed to be relative prime. Then the assumption square root of 2 is rational has led us to this imposible situation, and must be for clear in mathematic. So square root of 2 is irrational number.
To prove that the length of the diagonal of a square of unit side cannot be represented by rational number it suffices to show that square root of 2 is irrational. To this end we first observe that, for a positive integer s, s2 is even if and only if s is even. Now suppose for the purpose of argument, that square root of 2 is rational, that is, square root of 2 =a/b, where a and b are relatively prime integers. Then
a = square root of 2b
or
a2 = 2b2
since a2 is twice an integer, we see that a2, and hence a, must be even. Put a =2c. Then the last equation becomes
4c2 = 2 b2
Or
2c2 = b2
From which we conclude that b2, and hence b, must be even. But this is impossible since a and b were assumed to be relative prime. Then the assumption square root of 2 is rational has led us to this imposible situation, and must be for clear in mathematic. So square root of 2 is irrational number.
CHARACTERISTIC OF LOGARITHMS
CHARACTERISTIC OF LOGARITHMS
If a to the power of m times a to the power of n, so this equals a to the power of m plus n in bracket.
If a to the power of m divided a to the power of n,so this equal is a to the power of m minus n in bracket.
If logarithms b with the main number a equals n. It is equivalent with b equals a to the power of n.
If logarithms a with the main number is g equals x,i t is equivalent with a equals g to the power of x.
If logarithms b with the main number is g equals y. It is equivalent with b equals g to the power of y.
If logarithms a times b in bracket equals with ..
For example :
1. what is similar with logarithms a times b in bracket with the main number is g?
- Logarithms a with the main number is g equals x, it is equivalent with a equals to the power of x.
- Logarithms a with main number is g equals y, it is equivalent with b equals g to the power of y.
a times b equals g the power x times g to the power of y, then a times b equals g to the power of m plus n in bracket. So logarithms a times b in brackets with the main number is g equals logarithms g to the power of m plus n in bracket with the main number is g. It is equivalent with x plus y in bracket with the main number is g. Logarithms g with the main number g is one so the equals is x plus y.
``the logarithms a times b in bracket with the main number is g equals logarithms a with the main number is g plus logarithms b with the main number is g``.
If a to the power of m times a to the power of n, so this equals a to the power of m plus n in bracket.
If a to the power of m divided a to the power of n,so this equal is a to the power of m minus n in bracket.
If logarithms b with the main number a equals n. It is equivalent with b equals a to the power of n.
If logarithms a with the main number is g equals x,i t is equivalent with a equals g to the power of x.
If logarithms b with the main number is g equals y. It is equivalent with b equals g to the power of y.
If logarithms a times b in bracket equals with ..
For example :
1. what is similar with logarithms a times b in bracket with the main number is g?
- Logarithms a with the main number is g equals x, it is equivalent with a equals to the power of x.
- Logarithms a with main number is g equals y, it is equivalent with b equals g to the power of y.
a times b equals g the power x times g to the power of y, then a times b equals g to the power of m plus n in bracket. So logarithms a times b in brackets with the main number is g equals logarithms g to the power of m plus n in bracket with the main number is g. It is equivalent with x plus y in bracket with the main number is g. Logarithms g with the main number g is one so the equals is x plus y.
``the logarithms a times b in bracket with the main number is g equals logarithms a with the main number is g plus logarithms b with the main number is g``.
summary of video
Video one:
Do you believe in me???
From the video one, there are one children who are speech and give some questions for audience do you believe in me?he think that we have to believe with our ability. We have to certain that we be able to doing something. If we have a dream, so we must sure that we can to reach our dream. Although the business need, but in the hearts with confidence that we can and can do.
Video two
Knowing mathematics
“What you know about math?”
In mathematics, we discuses:
Significant figure
Matrix
Trigonometry
Limit
Exponent
Integral = e power x
Value of phi is 3,145…………
Ln (x)
Video three
English Solving Problem
In that video, we have some questions:
1. Let the function f be defined by f(x) equals x plus one. If 2 times f(p) equals twenty, what is value of f(3p)
Answer:
f(x) equals x plus one
2 times f(p) equals twenty
f(p) equals ten
We substitution f(p) and f(x)
f(p) equals p plus one equals ten
So p equals nine.
Because p equals nine, (3p) equals twenty-seven
And the value of f(3p) equals 3p plus one
f(3p) equals twenty-seven plus one
Equals twenty eight
2. In the xy-coordinate plane, the graph of x equals y square minus four intersects line l at (O, p) and (five, t). What is the greatest possible value of the slope of graph
x equals y square minus four
Line l: m equals ytwo minus yone all over xtwo minus xone
Equals t minus p all over five minus 0
Video four
Properties of logarithms
Log base b of x equals y similar with b to the power of y equals x
Log base ten of x equals log x; log base c of x = ln x (natural logarithms)
Example:
1. Log base ten of one hundred equals x
Ten to the power of x equals one hundred
Ten to the power of two equals one hundred
x equals two
2. Log base two of x equals three
Two to the power of three equals x
Eight equals x
So log base two of eight equals three
3. Log base seven of one forty nine equals x
Seven to the power of x equals one forty nine
Seven to the power of x equals one seven to the power of two
Seven to the power of x equals seven to the power of minus two
X equals minus two
Log base b of M times N equals log base b of M plus log base b of N
Log base b of M over N equals log base b of M minus log base b of N
Log base b of x to the power of n equals n log base b of x
Expend:
Log base three of x square times y plus one in bracket all over z to the power of three
Equals log three of x square times y plus one in bracket minus log three of z to the power of three
Equals log three of x square plus log three of y plus one in bracket minus log three of z to the power of three
Equals two times log three of x plus log three of y plus one in bracket minus three times log three of z
Video six
English Trigonometry
If we have a right triangle, we can search value of sin, cos, and tan
Sin alpha equals opposite over hypotenuse
Cos alpha equals adjust over hypotenuse
Tan alpha equals opposite over adjust
The other trigomometric ratios are represented as follows:
Secant (Sec) is one cos
Cosecant (Cos) is one sin
Cotangents (Cot) is one tan
Do you believe in me???
From the video one, there are one children who are speech and give some questions for audience do you believe in me?he think that we have to believe with our ability. We have to certain that we be able to doing something. If we have a dream, so we must sure that we can to reach our dream. Although the business need, but in the hearts with confidence that we can and can do.
Video two
Knowing mathematics
“What you know about math?”
In mathematics, we discuses:
Significant figure
Matrix
Trigonometry
Limit
Exponent
Integral = e power x
Value of phi is 3,145…………
Ln (x)
Video three
English Solving Problem
In that video, we have some questions:
1. Let the function f be defined by f(x) equals x plus one. If 2 times f(p) equals twenty, what is value of f(3p)
Answer:
f(x) equals x plus one
2 times f(p) equals twenty
f(p) equals ten
We substitution f(p) and f(x)
f(p) equals p plus one equals ten
So p equals nine.
Because p equals nine, (3p) equals twenty-seven
And the value of f(3p) equals 3p plus one
f(3p) equals twenty-seven plus one
Equals twenty eight
2. In the xy-coordinate plane, the graph of x equals y square minus four intersects line l at (O, p) and (five, t). What is the greatest possible value of the slope of graph
x equals y square minus four
Line l: m equals ytwo minus yone all over xtwo minus xone
Equals t minus p all over five minus 0
Video four
Properties of logarithms
Log base b of x equals y similar with b to the power of y equals x
Log base ten of x equals log x; log base c of x = ln x (natural logarithms)
Example:
1. Log base ten of one hundred equals x
Ten to the power of x equals one hundred
Ten to the power of two equals one hundred
x equals two
2. Log base two of x equals three
Two to the power of three equals x
Eight equals x
So log base two of eight equals three
3. Log base seven of one forty nine equals x
Seven to the power of x equals one forty nine
Seven to the power of x equals one seven to the power of two
Seven to the power of x equals seven to the power of minus two
X equals minus two
Log base b of M times N equals log base b of M plus log base b of N
Log base b of M over N equals log base b of M minus log base b of N
Log base b of x to the power of n equals n log base b of x
Expend:
Log base three of x square times y plus one in bracket all over z to the power of three
Equals log three of x square times y plus one in bracket minus log three of z to the power of three
Equals log three of x square plus log three of y plus one in bracket minus log three of z to the power of three
Equals two times log three of x plus log three of y plus one in bracket minus three times log three of z
Video six
English Trigonometry
If we have a right triangle, we can search value of sin, cos, and tan
Sin alpha equals opposite over hypotenuse
Cos alpha equals adjust over hypotenuse
Tan alpha equals opposite over adjust
The other trigomometric ratios are represented as follows:
Secant (Sec) is one cos
Cosecant (Cos) is one sin
Cotangents (Cot) is one tan
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