MATHEMATICS RESEARCH

Mathematical Research is dedicated to rapid publication of short complete papers of original research in all areas of mathematics.. Expository papers and research announcements of exceptional interest are also occasionally published. High standards are applied in evaluating submissions; the entire editorial board must approve the acceptance of any paper. Mathematics can definitied by research. Because the importantance of mathematic is finding something use logical. We observate something, give definition, teorema and make a concliution. Mathematics is a branch of science that requires data collection, data processing, analyzing data to draw conclusions that can be said the real proof of a mathematical available. The original observation that mathematics is the mother of the branches of science which is the basis of a knowledge source.


1. You need reference on how to do mathematical research
In mathematics, we concentrate on making connections and using principles of mathematics to communicate, reason, make representations, and solve problems. In addition to emphasizing the development of computation skills, we engage in projects which require them to apply number systems, operations, and formulas in real-world contexts.

2. The nature of mathematics
Mathematics is the study of quantity, structure, space, and change.In mathematics must has a relationship. It is impossible single, something of mathematics has relationship with other. For instances, there is two dimension
It can be relationship with square, triangle, circle, etc

3. You find out the definitions of mathematics
of probability to number theory--provide renewed evidence of the fundamental unity of mathematics.Despite frequent connections among problems in science and mathematics, the constant discovery of new alliances retains a surprising degree of unpredictability and serendipity.


Example : Long division for a 3rd order.find apantial quation of x square,by dividing x into x cubic to get x square. Multiply x square by the divisor and substract the product from the divided. Repeat the process untill you either “clear it out” or reach a remainder.Finding factoring polynomial, we will use algebratic long division. Example, x minus three is a factor of x cubic minus seven x minus six.by using algebratic long division.we get product x square plus three x plus two.X cubic minus seven x minus six is divided by x minus three is no remainder. X square plus three x plus two is also factor. We can write x cubic minus seven x minus six equals x minus three x plus two can be written became x plus one times xplus two. We get zero equals x minus three times x plus one times x plus two. After that we get x equals three, x equals negative one ,and x is negative two.then roots of x cubic minus seven x minus six is divided by x minus three are three,negative one , and negative two.
4. The aim of mathematical research
Improving the quality of human resources so that human beings are required to learn, understand and master various kinds of knowledge that was then applied in all things. One of them is a study of mathematics. Mathematicians also engage in pure mathematics, or mathematics for its own sake, without having any application in mind, although practical applications for what began as pure mathematics are often discovered later

5. The supporting factor
Your knowledge of the history of mathematics
Your knowledge of the mathematicians
Your experiences of developing mathematics
Facultative : The Philosophy of mathematics

WORLD CLASS UNIVERSITY

This program is not as easy as we thought but it also spends a lot of expenses that are not yet a State University of Yogyakarta to further enhance human resources available and the whole society on umumnya.So Mr. Marsigit as Chairman of World Class University (WCU) has a vision and mission to continue his success and be able to include the State University of Yogyakarta as one of the University of quality and baek in the eyes of the world. The program requires a level of human resources adequate, such as teachers who are able and meet the international standards that were sent abroad in order to obtain a certificate that is one of the requirements to support this program, besides using the facilities baek to support this program and required the establishment of the international-standard curriculum
With this then the world will see a little later one of the universities in Indonesia are able to give a big contribution in the effort to improve education in Indonesia, especially in the eyes of the world Internasional.

So I was very supportive and very proud of the existence of one of the programs that are not only playing program but the program really great in the world of education, a program of this World Class University. Business needs with very hard, from father marsigit also note that only for just search for representatives to learn and obtain a certificate from the international communities need to be rigorous selection and the difficulty to find, but business is still there, which in turn also obtain the desired representative, although was not as much with that have been targeted.

If these programs result in good and satisfactory in the later implementation should be made more expansion kefakultas-laiinya faculty and other departments so that the entire existing faculties at state universities have the ability to Yogyakarta international competitive world of international education in the world, then we are together both enhance and develop the State University of Yogyakarta is one of the University of Indonesia who could compete in the international eye.

PART OF MATHEMATICS

Properties of Logarithms

Logarithms base b of x equals y equivalent with b y power equels x.logarthms base m of x equals logarthm x.Logarithm base e of x equals ln x,ln x is natural logarthms.
For example : logarithm base ten of onehundred is same x then ten of x two power equals onehundred. So we have the product x is two.
Logarithm base b of M times N so we have product is logarthm base b of M plus logarthm base b of N. Logarthm base b of N over N so we have the product is logarithm base b of M minus logarthm base b of N .lOgarthm base b of x n power equals n times logarthm base b of X

Common Factor and grouping

Objectivites by Common factor andgrouping is find the greates common factor of number then to find the GCD of terms, then factor out the GCF and factor four temp expressian by Grouping Getting started, we have the product and factor.for example : fiveteen equals three times five. Fifteen is product, and three or five are factors.Factoring compeletly in all factor the smallest exponent and find their product. The largest command factor is the integer in the list.for examle : fourthy five equals three square times five and factor of sixthy equals two square times three times five. To find the GCD , we choose prime factor with the smallest exponent and find their product is three times five equals fifteen.

Trigonometry Function

Figure of trygonometri function is sine,cose,tangen,cosecan,secant ,and cotangent. In this function defind by side of triangle and angle being measured. In a triangle is OPP is side opposide theta,ADJ is adjacent to theta and HYP is hypotenuse.sine of theta is side opposite theta over hypotenuse. Cose of theta is adjacent to theta over hypotenuse. Tangent of theta is side opposite theta over adjacent. Cosecan of theta is Hypotenuse over side opposite theta. Secant of theta the same of hypotenuse over side adjacent to theta.

Factoring polynomial

Long division for a 3rd order.find apantial quation of x square,by dividing x into x cubic to get x square. Multiply x square by the divisor and substract the product from the divided. Repeat the process untill you either “clear it out” or reach a remainder.

Finding factoring polynomial, we will use algebratic long division. Example, x minus three is a factor of x cubic minus seven x minus six.by using algebratic long division.we get product x square plus three x plus two.X cubic minus seven x minus six is divided by x minus three is no remainder. X square plus three x plus two is also factor. We can write x cubic minus seven x minus six equals x minus three x plus two can be written became x plus one times xplus two. We get zero equals x minus three times x plus one times x plus two. After that we get x equals three, x equals negative one ,and x is negative two.then roots of x cubic minus seven x minus six is divided by x minus three are three,negative one , and negative two.

Function

For example : Y minus three times x equals four. Relation which each element of one set is paired with one and only one, element of the second set relation. One numerical expression relating one number, or set of number , to on other non spciypict val. Expression the contant is equation and in equalities Y equals three x plus four. Function of X is three X plus four. We get X is five. So three times five plus four is nineteen.

Parallelogram

The definition of parallelogram, if a quadriteral is a parallelogram then opposite sides are parallel. For example : ABCD is parallelogram. Inside of AB quadriteral inside of DC and inside of AD quadriteral inside of BC. Parallelogram has four sides, has four angles and has two pairs of parallel sides. The sum of the angle of parallelogram is three hundred and sixthy degree.

My evert in catching up English vocabulary for mathematics

1. Sudut pusat : central angle
2. Sudut : angle
3. Tambah : add
4. Rata-rata : average
5. Aturan : rule
6. Luas : area
7. Deret : series
8. Rumusan : formula
9. Grafik : graph
10. Tinggi : altitude
11. Garis : line
12. Kurva : curve
13. Bilangan : number
14. Bilangan bulat : integer number
15. Bilangan prima : prime number
16. Bilangan asli : original number
17. Bersilangan : crossing
18. Berpotongan: intersect
19. Trapezium : trapezoid
20. Akar : root
21. Kubus : cube
22. Acak : random
23. Segmen : segment
24. Segitiga ; triangle
25. Lingkaran : circle
26. Belah ketupat : rhombus
27. Perkalian : multiplication
28. pengurangan : substraction
29. Pembagian : division
30. Penambahan : addition
31. Pecahan : fraction
32. Sudut miring : oblique angle
33. Fungsi : function
34. Segidelapan : oktagon
35. Segienam : hexagon
36. Segiempat : square
37. Tegak lurus : perpendicular
38. Kemungkinan : probability
39. Puncak : peak
40. Sejajar : parallel
41. Maksimum : maximum
42. Minimum : minimum
43. Sama dengan : equals
44. Kosong : empty
45. Lebih dari : more than
46. Kerucut : cone
47. Cekung : concave
48. Garis tengah : diameter
49. Pangkat tiga : cubic
50. Derajat : degree
51. Diagonal : diagonal
52. Daerah : domain
53. Dasar : base; elementary
54. Genap ; even
55. Persamaan kuadrat : quadratic equation
56. Permukaan : surface
57. Cakupan : range
58. Hubungan : relation
59. Penyelesaian : solution
60. Sudut siku-siku : right angle
61. Anggota : member
62. Keliling : circumference
63. Lancip : sharp; taper
64. Tumpul : dull; blune
65. Pengertian : conception
66. Jari-jari : radius
67. Diarsir : shadow
68. Pemetaan : maping
69. Kesimpulan : conclusion
70. Garis lurus : straight line
71. Pangkat dua : power
72. Table kebenaran : truth table
73. Himpunan : said
74. Turunan : generation
75. Urutan : sequance
76. Volume : volume
77. Jumlah : sum
78. Bukti : proof
79. Garis mendatar : horisontal
80. Cabang : branch
81. Garis potong : secant
82. Garis singgung : tangent
83. Percepatan : velocity
84. Tabung : cylinder
85. Garis tegak : vertical line
86. Variable : variable
87. Kurang dari : less than
88. Jika maka : if than
89. Logika dan notasi : logical and notation


Kalimat
1. Nine multiplied by nine equals eihgtyone.
2. Volume equals one third the product of base and altitude.
3. Mathematics is knowledge used logical and notation.
4. The area of triangle is half of the base mulplied by altitude.
5. The probability some one to get sum of the dice more than ten which thrown once from two dices is 3/36
6. The area of circle is repeatly taken as equal to that of the square on 8/9 of diameter.
7. To proof that the sum of scalene triangle is one hundred and eighty degree.
8. Diameter of circle biseet the circle.
9. The base angles of an isosceles triangle are equals.
10. The vertical angles formed by two intersecting lines are equal.
11. An angle incribed in a semicircle is a right angle.

The Nature of Mathematic

Mathematics is a human knowledge which use symbolic logical and notation of mathematic. And the definition of mathematic basic on literal is pattern of research of structure, changing and “ruang” by mathematics properties namely additions, subtraction, multiplication, and division.

Mathematic is human knowledge that learn pattern.
Hill bart is a formal person of mathematics or we can said that he is mathematician.

Mathematics is human knowledge which studying of relations.

Mathematic is human knowledge to solving the problem of mathematics, so we can call it problem solving.

Mathematics has mathematician who have eager to know something.
Mathematics can be a tool of communication. For instance: Javanese people give symbol of number ‘1’ is “siji” orally meanwhile in Indonesian ‘1’, we say “satu”. So the expert conclude that mathematics is for communication.

Mathematics is for accounting.For example :Aritmatica be used on selling and buying which need mathematic properties, namely addition, subtraction, multiplication and division.
Finally, everyone must have used mathematics in there life.

Task Four

1.We have seen that in the ancient orient the value of phi was frequently taken as 3, 1, from the perimeters of given regular inscribed and circumscribed polygons, we may obtain the perimeters of the regular inscribed and circumscribed polygons having twice the number of sides. By successive applications, starting with the regular inscribed and circumscribed polygons of 12, 24, 48 and 96 sides, in this way obtaining ever closer bounds for phi. Finally obtaining the fact that phi is between 223/71 and 22/7, or that, two decimal places, phi is given by 3,14

2.
Change the coefficient X2 into 1
Then divide with A
Delete the constantan at the left row (both bases minus with C/A)
Add both rows with the half squares of coefficient X.
Change the left row into perfect squares.
So we get the equation X equal with –B plus minus source b square minus 4 times A times C divide 2A
 
3. If Y equal to X squares and Y equal to X plus 2, so to count the wide is:
Write both equations, which are:
X squares equal to X plus 2, then change the row into X squares minus 2 equal to 0, then make it into factorization (X+1)(X-2) so the wide outer limit achieved which is X equal with -1 and X equal with 2, then draw the area limited by Y=X2 and Y=X+2. Count the area wide with car integral from X2 minus X-2 with the limit X=-1 and X=2 after integral zed, it is substituted the limit into the equation that already integral zed. So the area wide from Y=X2 and Y=X+2.
 
4.Determine the cone volume
Count the base wide from the cone which has trellis (r) = 1/3 La. Using the formula of a third of base wide.
After get the base wide, then times it with the height from the cone, so the volume of the cone can achieved.

5.Make any kind triangle, and then make line extension from any point. Fro example, C in line AC, through point C, make parallel line with line AB.
Angle BCE equal with able ABC (because inside across)
Angle DCE equal with angle CAB (because face to face)
Angle ACB plus angle BCE plus angle ECD at one line, equal with 180 degree so angle ACB plus angle ABC plus angle CAB equal with 180 degree.

6. Search the probability the appearance of the amount of number more than 6 from 2 dice that thrown once is the amount of all event divided with the amount of total, which are:
the amount of all event divided with the amount of total.
21/36 = 7/(12 )
 
7.  That is with X-1 times X plus Y-1 times Y equal with the squares from the trellis..
If X-1 equal with 10 , Y-1 equal with 0, and trellis square equal with 9 so the equation is 10X plus 0Y equal with 9 or 10X minus 9 equal with zero.
 

8.If a, b, c show the upright side and inclined side from angled triangle at two square which are has A+B as the side, first square cut into six part which are 2 square at the side and 4 congruent angled triangle and the second square cut into five part which are a square at the inclined side and four congruent angled triangle. With decrease the same part, so the square at hypotenuse is equal with the amount of a square at each edge, so the Pythagoras preposition is squares from inclined side of the angled triangle are the amount of squares of both other side.
 
9.Using arithmetic line, the first point values one with the differences two and there are 100 points there. So the total amount of odd number of the first 200 equal with 100 divide 2 then times the first point twice add with the 100th point then minus one times 2 and the amount will be exactly 10.000.

10.
Make a line that known as the base margin.
Then make it into base.
Make the base side into square which is ABCD square.
Then draw the withdraw angle, for example: X0.
Make oblique projection the ABCD square like parallelogram.
Then from ABCD make a vertical line as the upright margin.
Then connect it like the base as cube cover so we can make ABCD EFGH cube.

Experience in English class at March, 25 2009

In Wednesday, March, 25 2009. Exactly at 7.00 a.m. there was English class. It was the sixth meeting we got exercise again to tell about our experience in English class. We were asked to do exercise in our blog. We learnt about quadratic equation . at 8.00 a.m., we had to change classroom because it would been used by others students. We used the classroom which located in North of Eks Jica room.
The form of quadratic equation is
ax2+bx+c= 0 , x є R, a ≠ 0
There are 3 way to find solution of quadratic equation, namely:
1. Factor
For instance are the roots of quadratic equation. are given by convert quadratic equation which notatied
( x – x1) ( x -x2 ) = 0
factor factor
2. Complete of quadratic equation
Convert or manipulate quadratic equation to be perfect quadratic.
3. Use abc formula.

Beside that Mr Marsigit showed up mathematic book of junior high school of the bilingual book. Although Mr Marsigit was very busy, but he could finish his book well. Mr . Marsigit also translated other book of mathematic for elementary school, senior high school and university.
In the middle of lesson, sometimes he made of joke consequently made atsmosphere class be enjoy and comfortable. He always gave us time to asked if we got difficulties in understanding of material. He also explained about blog that he made. He made some article and we should give comment or opinion. He lent us a book of mathematic in order to be learnt for test next week, but we were prohibited to copy that book.
It’s my experience in sixth meeting at English Class.