I love mathematic.in Yogyakarta state university I go in class math since 2007.There I have much friend.I study math with my friends.in Mat NR ’07 I have experience so much.there is trigonom,calculus,math story,algebra,geometry,etc..All of them can be study with 2 language, it is Indonesian and English.We love it, if our lecture give lesson with Indonesian language,but one of lecture from our lecture use English to presenting his lesson.We so very difficult to translate this lesson, if we given homework by English.In semester 3,we get ENGLISH II from Dr.Marsigit.We recognize Dr.Marsigit at aguste 08,he is lecture in our class.He is some one with diligently,patiently,hansome,friendly,and soft.He always give us home work,but in class,we given more information about English much,We get listening the film,listen the video,using grammer,exercise the problem of mathematic,pre_test,write difficult world,discussion with English,etc.
I’m stupid in English, I can’t discussion with englis,can’t pre-test English.But Mr. Marsigit Always give us many information more and more about English,He also give support to me.all home work can be finissed by me and my friends too. I have new spirit in English lesson,I write more and more many difficult word,I listen toefl tes is given by my friend,from It,I get much inspiration in English.In first pre test I get bad value ,but I try to make better from pre test first.I’m memorizing for vocabulary,I write in one paper, I save, and I study. And then the third pre test I get value so better.
By:lucia martika yundarwiti ^_^
Jumat, 09 Januari 2009
.…I LOVE ENGLISH MATH….
BLOG IS ONE OF COMMUNICATIONS AMONG STUDENT AND LECTURE.
LUCIA MARTIKA YUNDARWITI,
07305144015,mat NR’07
ENGLISH II: Dr.Marsigit
At globalization era this time , a lot of technology progress expanding very fast.for example the existence of old stuff internet for us. internet very good because we can access assorted data from everywhere.beside that we also can communicate by the internet as chating,email,etc.so that way without us have to look for the date in other country.wathing television, and read the newspaper, we can obtain get the information pass the internet.
internet also good for presenting result of masterpiece someone.much once one who wish the presenting result of its masterpiece internet which is good for to be every person who use the internet know result of the people masterpiece.
One of to presenting of result of someone masterpiece that is by using blog.blog good for presenting result of the people masterpiece.same with friendster,etc.blog used in English 2 by Dr.Marsigit specially to communicate between student and lecturer. If lecturer is no time giving items to all the student,he can presented in his blog, so that if student open the the blog lecturer, hence student even also know about that items. Blog very useful in forwarding of items of Ianguage inggris which is teaching by Dr.Marsigit. in general student ordered to make blog in internet and immediately posting of masterpiece result into this blog with that way each,every student will make the student which cannot make the blog of hence will try to enquire - ask how to make the blog t.so of is existence of making blog,student will be active progressively in exploiting internet.blog and presenting masterpiece result.
In making blog needed by a x'self data real correctly and admission filling photograph by downright.If data filled not true hence lossy is ownself and others.making Blog represent the process learn to student there is student which is only presenting real not correct date, etc.
Hence from that expected by all student can present the data real correctly so that the student get the trust from all party reading brief this blog with concise. usage blog very good for communications progress in education specially student.if student have succeeded to make the blog squarely. hence the masterpiece will extend for the presentation of composition later on.besides making blog,ability in language also very needed to that for student.so also needed domination of items of English well and real correct,for good communication.
07305144015,mat NR’07
ENGLISH II: Dr.Marsigit
At globalization era this time , a lot of technology progress expanding very fast.for example the existence of old stuff internet for us. internet very good because we can access assorted data from everywhere.beside that we also can communicate by the internet as chating,email,etc.so that way without us have to look for the date in other country.wathing television, and read the newspaper, we can obtain get the information pass the internet.
internet also good for presenting result of masterpiece someone.much once one who wish the presenting result of its masterpiece internet which is good for to be every person who use the internet know result of the people masterpiece.
One of to presenting of result of someone masterpiece that is by using blog.blog good for presenting result of the people masterpiece.same with friendster,etc.blog used in English 2 by Dr.Marsigit specially to communicate between student and lecturer. If lecturer is no time giving items to all the student,he can presented in his blog, so that if student open the the blog lecturer, hence student even also know about that items. Blog very useful in forwarding of items of Ianguage inggris which is teaching by Dr.Marsigit. in general student ordered to make blog in internet and immediately posting of masterpiece result into this blog with that way each,every student will make the student which cannot make the blog of hence will try to enquire - ask how to make the blog t.so of is existence of making blog,student will be active progressively in exploiting internet.blog and presenting masterpiece result.
In making blog needed by a x'self data real correctly and admission filling photograph by downright.If data filled not true hence lossy is ownself and others.making Blog represent the process learn to student there is student which is only presenting real not correct date, etc.
Hence from that expected by all student can present the data real correctly so that the student get the trust from all party reading brief this blog with concise. usage blog very good for communications progress in education specially student.if student have succeeded to make the blog squarely. hence the masterpiece will extend for the presentation of composition later on.besides making blog,ability in language also very needed to that for student.so also needed domination of items of English well and real correct,for good communication.
pre_calculus
Nama : Lucia Martika Yundarwiti
Nim : 07305144015
Prodi : Mat NR ‘07
Mata kuliah : BAHASA INGGRIS II
Hari/tanggal : Senin,01-12-08
Email : yoe_wiesheart@yahoo.com
VIDEO I
Pre_Calculus
Graph of a rational can have discontinuites has a polynomial the denominator.
For example
- The function of F(x) =
When x=1, so we change x=1
We get result = =
So (1, ) = not definited
When x=0,so we change x=0
We get result = = = -2
So (0,-2) = All right,
the solution of F(x) = ,is (0,-2)
- Missing point
To explain missing point,we give example of Y =
Missing point,happened when the nominator is zero and the denominator is zero
If we insert x=3
We get =
If we get ,and then we must make factor of Y =
With algebra :
Y = = x = x+2Þx = 3
The conclusion about missing point are :
Removable singulary :
- When x lead to ,and
- Factor and simply
VIDEO II
Limit by inspection
For Example :
If the higest power of x is greater in numerator
If the higest power of x is greater in denomerator.
VIDEO III
Examples:
1. The Figure Above Shows The Graph Of Y = g(x),if thefunction ,is defined by h(x) =g(2x) +2.What is the value of h(1)?
For,,,look for h(1),
We insert (1) to h (x) = g(2x) +2,and
We change x=1
So h(x) = g (2x) +2
H(1) =g(2.1) +2
=g(2) +2
=1+2
=3
The value of h(1) = 3
2. Let the function be defined by f(x)= x+1 if 2 f(p) = 20.What is the value of f(3p)?
What is f when x= 3p?
The f(x) = x+1
2 f(p) =20
F(p) = p+1 =10
P =9
And then we subsitusion p=9,in x=3p,so we get x=3p 3.9=27
x=27
for x(27) = 27+1
x=28
VIDEO IV
Rational function
Rational function of degree 2 :
In the case of one variable, x, a rational function is a function of the form
where P and Q are polynomial function in x and Q is not the zero polynomial. The domain of f is the set of all points x for which the denominator Q(x) is not zero.
An irrational function is a function that is not rational. That is: it cannot be expressed as a ratio of two polynomials.
If x is not variable, but rather an indeterminate, one talks about rational expressions instead of rational functions. The distinction between the two notions is important only in abstract algebra.
A rational equation is an equation in which two rational expressions are set equal to each other. These expressions obey the same rules as fractions. The equations can be solved by cross-multiplying. Division by zero is undefined, so that a solution causing formal division by zero is rejected
Rational function of degree 3 :
The rational function is not defined at .
The rational function is defined for all real numbers, but not for all complex numbers, since if x were the square root of − 1 (i.e. the imaginary unit) or its negative, then formal evaluation would lead to division by zero: , which is undefined.
The limit of the rational function as x approaches infinity is .
A constant function such as f(x) = π is a rational function since constants are polynomials. Although f(x) is irrational for all x, note that what is rational is the function, not necessarily the values of the function.
Nim : 07305144015
Prodi : Mat NR ‘07
Mata kuliah : BAHASA INGGRIS II
Hari/tanggal : Senin,01-12-08
Email : yoe_wiesheart@yahoo.com
VIDEO I
Pre_Calculus
Graph of a rational can have discontinuites has a polynomial the denominator.
For example
- The function of F(x) =
When x=1, so we change x=1
We get result = =
So (1, ) = not definited
When x=0,so we change x=0
We get result = = = -2
So (0,-2) = All right,
the solution of F(x) = ,is (0,-2)
- Missing point
To explain missing point,we give example of Y =
Missing point,happened when the nominator is zero and the denominator is zero
If we insert x=3
We get =
If we get ,and then we must make factor of Y =
With algebra :
Y = = x = x+2Þx = 3
The conclusion about missing point are :
Removable singulary :
- When x lead to ,and
- Factor and simply
VIDEO II
Limit by inspection
For Example :
If the higest power of x is greater in numerator
If the higest power of x is greater in denomerator.
VIDEO III
Examples:
1. The Figure Above Shows The Graph Of Y = g(x),if thefunction ,is defined by h(x) =g(2x) +2.What is the value of h(1)?
For,,,look for h(1),
We insert (1) to h (x) = g(2x) +2,and
We change x=1
So h(x) = g (2x) +2
H(1) =g(2.1) +2
=g(2) +2
=1+2
=3
The value of h(1) = 3
2. Let the function be defined by f(x)= x+1 if 2 f(p) = 20.What is the value of f(3p)?
What is f when x= 3p?
The f(x) = x+1
2 f(p) =20
F(p) = p+1 =10
P =9
And then we subsitusion p=9,in x=3p,so we get x=3p 3.9=27
x=27
for x(27) = 27+1
x=28
VIDEO IV
Rational function
Rational function of degree 2 :
In the case of one variable, x, a rational function is a function of the form
where P and Q are polynomial function in x and Q is not the zero polynomial. The domain of f is the set of all points x for which the denominator Q(x) is not zero.
An irrational function is a function that is not rational. That is: it cannot be expressed as a ratio of two polynomials.
If x is not variable, but rather an indeterminate, one talks about rational expressions instead of rational functions. The distinction between the two notions is important only in abstract algebra.
A rational equation is an equation in which two rational expressions are set equal to each other. These expressions obey the same rules as fractions. The equations can be solved by cross-multiplying. Division by zero is undefined, so that a solution causing formal division by zero is rejected
Rational function of degree 3 :
The rational function is not defined at .
The rational function is defined for all real numbers, but not for all complex numbers, since if x were the square root of − 1 (i.e. the imaginary unit) or its negative, then formal evaluation would lead to division by zero: , which is undefined.
The limit of the rational function as x approaches infinity is .
A constant function such as f(x) = π is a rational function since constants are polynomials. Although f(x) is irrational for all x, note that what is rational is the function, not necessarily the values of the function.
my name is Lucia Martika yundarwiti.
All my friend always call me with yuyun.
I was born in bantul,26 jun”89.
I live in karanggayam,panjang rejo pundong bantul,Yogyakarta.
But now, I live in kost Amelia Gejayan City…
I study in YOGYAKARTA STATE UNiVERSITY.
I have one brother,he study in Kanisius Bantul Elementary Scool.I have mom and fath.Ilove much their,….
I have study English 2,my lecture is Mr.Marsigit.
He is very good lecture.MAT NR 07 is darling student him,so he give duty to me and all my frind and our class make Blog in internet.
We love Mr.Marsigit.He is very Funny and patient making us sealing for to learn.
I love math..I love my friends… I love my lectures.. I love u all….^_^
All my friend always call me with yuyun.
I was born in bantul,26 jun”89.
I live in karanggayam,panjang rejo pundong bantul,Yogyakarta.
But now, I live in kost Amelia Gejayan City…
I study in YOGYAKARTA STATE UNiVERSITY.
I have one brother,he study in Kanisius Bantul Elementary Scool.I have mom and fath.Ilove much their,….
I have study English 2,my lecture is Mr.Marsigit.
He is very good lecture.MAT NR 07 is darling student him,so he give duty to me and all my frind and our class make Blog in internet.
We love Mr.Marsigit.He is very Funny and patient making us sealing for to learn.
I love math..I love my friends… I love my lectures.. I love u all….^_^
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