21 October 2008

EDUCATION EXPO DI SMAK BINA BAKTI BANDUNG

EXPO SMAK 1 BINA BAKTI Bandung, 16 - 18 Oktober 2008

Anuual Education Expo hold by Bina Bakti 1 High School Bandung for this year is different with another years ago. The Educatio Expo which located at Jl. Bima 9 Bandung is show many attraction an proggramme such as ::

  • Seminar Mathematics Teacher ; Teaching Mathematics Strategies for Mathematics Teachers region West Java, with speaker by Mr. Ramir S. Austria, MAEA (Dari Philipina - Bimus University)
  • Education Fair, followed by many favourite University such as ENHAII, UNPAR, U. MARANATHA, ITHB, BINUS, LIKMI, IDP, MEC, ISS, IELTS, ICAT, Unistart, Vista, Edlink-Cponnex, and Education Insurance Prudential
  • Science Fair, shows many students masterpiece in Science (Physics, Biology, Chemistry) at Bina Bakti High School Bandung for supporting learning activity at school.
  • Bazaar, which followed by several book publishers, foods products, kids products, etc.
  • Talk Show University; by lecturer of Institute of Technology Bandung, Parahyangan University, Maranatha University, Padjajaran University, ENHAII
  • Mathematics Competition for Middlke School Region West Java, which is followed by SMPK BPK1 Penabur, SMPK BPK 5 Penabur, SMPK BPK 3 Cimahi, SMP Yos Sudarso Garut, SMPK Yos Sudarso Purwakarta, SMPK Babtis SMPK Yahya, SMPK 2 Bina Bakti, SMPK 1 Bina Bakti, SMP St. Mikael Cimahi
  • Dance Competition, followed by : SMPK BPK 5, SMP BPK Taman Holis, SMP Yos Sudarso, SMPK Bina Bakti, SMAK 1 Bina Bakti, SMAK 3 BPK, SMA St. Maria, SMAK PAulus, dan SMAK 2 BPK.
  • Art Presentation, such as Dancing , Choirs, and music band.
  • Games Arena by Bina Bakti High School Bandung

Please, enjoy some pictures below to describe the situation......

The Principal of Bina Bakti High School (Mrs Lily H. at right)IMG_0206

Bazaar..... Talk Show by Universities

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Bina Bakti 1 High School Choir Science Fair........

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Seminar Math Teacher that makes us fresh to teach pupils........(by Mr. Ramir.....)

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Thank You Mr. Ramir......

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Maths Competition for Middle High School Region West Java......

Elimination Stage Final.......

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Para Jury at Final Maths Competitions for Middle High School.....

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The Result is : 1st, 2nd, 3rd Ranks are from SMP BPK 1 Penabur Bandung, 4th, 5th are from BPK 5 Penabur Bandung. Congratulation....!!!!

Dance Competition......(Come On...!!!...!!!! Chayo !!!!)

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The Result is.....: 1st Rank : SMAK 2 BPK, 2nd Rank : SMAK 1 Bina Bakti....

Congratulation...!!!!!

Education Fair.....(Good information....)

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Hm...there are so many picts that haven't hang here...buat these pics can describe us how relly lively at Education Expo of Bina Bakti 1 High School Bandung this year...

Congratulations for collegas, pupils and the participants.....

See You Next Year.....!!!!!

Permutations and Combinations

Perrmutations and Combinations

1. The multiplication principle or (r,s) principle

It states that if one operation can be performed in r ways, and a second operation can be performed in s ways, then the two operations can be performed in succession in r x s ways.

Note : The principle can be extended to any finite number of operations

2. Permutaion

(a). A permutaion is an ordered arrangement of all or part of a set of objects in a row.

(b). The umber of permutaion of n different objects taken all at a time (without repetition), is donated by nPn and nPn = n ! where n! = n(n – 1) (n – 2) ...x 3 x 2 x 1

(c). The number of permutations or arrangements of n different objects, taken r at a time (without repetition) is donated by nPr where clip_image002

(d). The number of permutations of n objects (not all distinc), taken all at a time, where thee are p objects alike of one kind, q objects alike of another kind and the rest are distinct, can be done in clip_image004. (This result can be exdtended to many finite number of groups of objects).

3. Combination

(a). A combination is a selection of objects in which the order of selection does not matter.

(b). The number of combinations or selections of n different objects, taken r at the time, is donated by clip_image006

Note : nCo = 1 ; nCn = 1 ; nCr = nCn- r

(c). The number of selections from n different objects, taking any number at a time is 2n - 1

EXERCISES

Calculus cartoon1. A sixth from contains the Head Boy, the Head Girl and 8 other students. The form is asked to send a group of 4 representatives to a conference. Calculate the number of different ways i which the group can be formed if it must be contain :

(i). both the Head Boy and the Head Girl

(ii). Either the Head Boy or the Head Girl, but not both

2. Calculate the number of ways in which :

(i). 5 children can be devided in to group of 2 and 3

(ii). 9 children can be devided into groups of 5 and 4

Hence calculate the number of ways in which 9 children can be devided into groups of 2, 3, and 4

3. A row of 10 houses is to be painted in 3 colours, 2 houses ae to be red, 3 to be blue and 5 to be white. Find the number of different ways in which the row of the houses can be painted :

(i). with no restrictions

(ii). Given that the first and the last houses in the row are blue

(iii). Given that the first and the last houses in the row are the same colour.

4. Find the total numbers of different permutations of all the letters of the word RESERVE.

Find the number of these permutations in which :

(i). E is the first letter.

(ii). The two Rs come together

(iii). S and V come at the ends of the permutations.

5. Find the number of ways in which a team of 6 batsmen, 4 bowlers and a wicket-keeper may be selected from a squad of 8 batsmen, 6 bowlers and 2 wicket-keeper.

Find the number of ways in which :

(i). this team may be selected if it is to include 4 specified batsmen and 2 specified bowlers

(ii). The 6 batsmen may be selected from the 8 available, given that 2 particular batsmen cannot be selected together.

6. Calculate the total number of different permutations of all letters A, B, C, D, E and F when :

(i). there are no restriction

(ii0. the letters A and B are to be adjacent to one another

(iii). The first leter is A, B, or C and the last letter is D, E, or F.

7. A tennis team of 4 men and 4 women is to be picked from 6 men and 7 women. Find the number of ways in which this can be done.

It was decided that 2 of the 7 women must either be selected together or not selescted at all. Find how many possible teams could be selected in these circumstances.

The selected team is arranged into 4 pair, each consisting of a man an a woman.

Find the number of ways in which this can be done.

8. At an art exhibition 7 paintings are to be hung in a row along one wall. Find the number of possible arrangements

Given 3 paintings are by the same artist, find the number of arrangements in which :

(i). these 3 paintings are hung side by side.

(ii). Any one of these paintings in shung at the beginning of the row but neither of the other 2 is hung at the end of the row.

9. A shelf is to contain 7 different books, of which 4 were written by Dickens and 3 by Hardy. Find the number of aangements in which :

(i). no two books by the same author are adjacent

(ii0. the first two books at the left-hand end are by the same author.

10. A editor has space for 6 advertisements, one on each of the first 6 pages of the magazine. Of the 6 advertisements to be displayed, 4 ar for household goods, 1 for gardening equipment and 1 for sports equpipment. In how many different ways can the advertisements appear in the magazine if the 4 advertisements for household goods must appear on consecutive pages ?

Answers :

1. (i). 28 (ii). 112

2. (i). 10 126 ; 1 260

3. (i). 2 520 (ii). 168 (iii). 784

4. 420

(i). 180 (ii). 120 (iii). 20

5. 840, 72, 13

6. (i). 720 (i). 240 (iii). 216

7. 525, 225, 24

8. 5 040 (i). 720 (ii). 1 440

9. (i). 144 (ii). 2 160

10. 144

19 October 2008

The Great Mathematicians all Times


1. Leonhard Euler (1701 - 1783)

He was one of the greatest mathematicians of all time. Known as the "grandfather of Topology". He founded the "network theory" which is one of the most practical forms of topology. He wrote a whole library of outstnading, articles on all branches of mathematics. He was also responsible for the international adoption of many fundamental mathematical notations such as phi, e, i, and others.

The value of Special irrational number represented by " e" and the value e = 2.7193

The value e is often as the base in exponential equations as it often provides as a good model to many natural, social and economic phenomena.

Logarithm to the basic e, "loge x" is often abbreviated as " ln x". ln x is called Natural Logarithm or Napierian Logarithm (in honour of the Scottis Mathematician John Napier)

2. Pythagoras (about 585 - 500 B.C.)

He was a pupil if Thales is the best known for the relation between the sides of a right-angled triangle which bears his name.

He founded the "Order of Pythagoras" to study mathematics, music, science, philosophy and religion. The school was the first to exclusively and systematically apply deductive reasoning in solving mathematical problems.

The multiplication table that we know of today was also credited to them.They believed that the world was a stationary sphere and that it was the centre of the universe.


3. Thales (about 625 - 545 B.C.)

Thales was an outstanding Greek academican and merchant, was the first to use the idea of proofs in geometry, leading the way to abstract thinking.

He astounded the Egyptians by calculating the height of pyramid using proportionate right-angled triangles.

This helped to lay the foundation for the development of "Trigonometry"

4. Blaised Pascal (1623 - 1662)

He showed his great intellect by proving an important theorem in projective geometry at the age of 16. He devised the world's second mechanical calculating machine at age 19, (the world's first was made by Wilhelm Schickard in 1623)

In 1654, he and Pierre de Fermat laid the foundation of probability theory.






5. Joseph Louise Lagrange (1736 - 1813)

He made significant contributions to the mathematics of differential equations, analysis, number theory, analystical and celstial mechanics.

He headed the commitee that led to the adoption of the metric system by many countries. He also played an important role in verifying Newton's universal law of gravitation.

6. Geofrey Harold Hardy (1877 - 1947)

He was one of the best pure mathematicians that England has produced. He contributed in many fields of pure mathematics such as analysis and the number theory.

His book, "Pure Mathematics", revolutionised the teaching of mathematics i England in 1917. Hardy together with Ramanujan published an important piece of work on number theory.






7. Carl Friedrich Gauss (1777 - 1855)

He was born a prodigy ; he could operate with numbers even before he could talk. He opened new horizon in almost all fields of pure as well as applied mathematics.

Many of the mathematics of the 19th and 20th centuries had their beginnings in the works of Gauss.

At he page of 17, he gave the first exact proof of the fundamental theorm of algebra, a proof that the greatest mathematicians of previous ages had attempted without success.

Gauss was named "The Prince of Mathematics" and is widely regarded together with Newton and Archimedes, as one of the three greatest mathematicians in history.


8. Pierre de Fermat (1601 - 1665)

Pierre de Fermat is perhaps the most famous number theorist in history. What is less widely known is that for Fermat mathematics was only an avocation: by trade, Fermat was a lawyer.

He work on maxima and minima, tangents, and stationary points, earn him minor credit as a father of calculus.

Independently of Descartes, he discovered the fundamental principle of analytic geometry.

And through his correspondence with Pascal, he was a co-founder of probability theory.

But he is probably most well-known for his famous "Enigma".

Fermat's portrait is inscribed with this famous "Enigma", which is also known as Fermat's Last Theorem. It states that xn + yn = zn has no whole number solution when n > 2.

Fermat, having posed his theorem, then wrote

"I have discovered a truly remarkable proof which this margin is too small to contain."

The proof Fermat referred to was not to be found, and thus began a quest, that spanned the centuries, to prove Fermat's Last Theorem.

Fermat's image is also overlaid by Fermat's spiral. Fermat's spiral (also known as a parabolic spiral), is a type of Archimedean spiral, and is named after Fermat who spent considerable time investigating it.

9. Sir Isaac Newton (1642 [1643 New Style Calendar] - 1727)

Sir Isaac Newton stated that "If I have seen further it is by standing upon the shoulders of giants." Newton's extraordinary abilities enabled him to perfect the processes of those who had come before him, and to advance every branch of mathematical science then studied, as well as to create some new subjects. Newton himself became one of those giants to whom he had paid homage.

Newton's image is set against the cover of a tome easily recognizable to those familiar with the history of mathematics -- his Principia Mathematica, The Mathematical Principles of Natural Philosophy, first published in 1687.

Its first two parts, prefaced by Newton's "Axioms, or Laws of Motion", dealt with the "Motion of Bodies". The third part dealt with "The System of the World" and included Newton's writings on the Rules of Reasoning in Philosophy, Phenomena or Appearances, Propositions I-XVI, and The Motion of the Moon's Nodes.

Inscribed over Newton's image is Newton's binomial theorem, which dealt with expanding expressions of the form (a+b) n. This was Newton's first epochal mathematical discovery, one of his "great theorems". It was not a theorem in the same sense as the theorems of Euclid or Archimedes, insofar as Newton did not provide a complete "proof", but rather furnished, through brilliant insight, the precise and correct formula which could be used stunningly to great effect.

Newton is widely regarded as the inventor of modern calculus. In fact, that honor is correctly shared with Leibniz, who developed his own version of calculus independent of Newton, and in the same time frame, resulting in a rancorous dispute.

Leibniz's calculus had a far superior and more elegant notation compared to Newton's calculus, and it is Leibniz's notation which is still in use today.

Newton's portrait shares a color palette with Leibniz, the other acknowledged "inventor" of calculus, Lagrange, a pioneer of the "calculus of variations", and Laplace and Euler, two of those who built on what had been so ably begun.

10. Eukleides (Euclid) c. 330 - 275 B.C.E

Eukleides (Euclid of Alexandria), although little is known about his life, is likely the most famous teacher of mathematics of all time. His treatise on mathematics, The Elements, endured for two millennia as a principal text on geometry.

The Elements commences with definitions and five postulates. The first three postulates deal with geometrical construction, implicitly assuming points, lines, circles, and thence the other geometrical objects.

Postulate four asserts that all right angles are equal -- a concept that assumes a commonality to space, with geometrical constructs existing independent of the specific space or location they occupy.

Eukleides is pictured with what is perhaps his most famous postulate -- the fifth postulate, often cited as the "parallel postulate". The parallel postulate states that one, and only one, line can be drawn through a point parallel to a given line -- and it is from this postulate, and on this basis, that what has come to be known as "Euclidean geometry" proceeds.

It was not until the 19th century that Euclid's fifth postulate -- the "parallel postulate" was rigorously and successfully challenged.

The two parallel lines of Euclid meet and converge in the portrait of Johann Carl Friedrich Gauss -- whose work led to the emergence of non-Euclidean geometry, where Euclid's fifth postulate gave way to new mathematical universe, where 2 parallel lines could, in fact, meet.

The portrait of Gauss shares a common dominant color palette with the portrait of Euclid -- but two different conceptions of 'geometry'.

Pictured over Euclid's right shoulder is a small drawing which is taken from Euclid's proof of the right angled triangle which has come to be known as the theorem of Pythagoras. While very little is known about the lives of either Pythagoras or Eukleides, it is both plausible and likely that Euclid and Pythagoras independently discovered and "proved" this basic theorem. Euclid's proof of this theorem relies on most of his 46 theorems which preceded this proof.

Central to Euclid's portrait is a circle with its radius drawn. Euclid's geometry was one of construction, and the circle and radius were central elements to Euclid's constructions.

11. Gottfried Wilhelm Leibniz (1646 - 1716 )

Gottfried Wilhelm Leibniz was a philosopher, mathematician, physicist, jurist, and contemporary of Newton. He is considered one of the great thinkers of the 17th century. He believed in a universe which followed a "pre-established harmony" between mind and matter, and attempted to reconcile the existence of a material world with the existence of a supreme being.

The twentieth century philosopher and mathematician Bertrand Russell considered Leibniz's greatest claim to fame to be his invention of the infinitesimal calculus -- a remarkable achievement considering that Leibniz was self-taught in mathematics.

Leibniz is portrayed overlaid with integral notation from his calculus which he developed coincident with but independently of Newton's development of calculus.

Although the historical record suggest that Newton developed his version of calculus first, Leibniz was the first to publish. Unfortunately, what emerged was not fruitful collaboration, but a rancorous dispute that raged for decades and pitted English continental mathematicians supporting Newton as the true inventor of the calculus, against continental mathematicians supporting Leibniz.

Today, Leibniz and Newton are generally recognized as 'co-inventors' of the calculus.

But Leibniz' notation for calculus was far superior to that of Newton, and it is the notation developed by Leibniz, including the integral sign and derivative notation, that is still in use today.

Leibniz considered symbols to be critical for human understanding of all things. So much so that he attempted to develop an entire 'alphabet of human thought', in which all fundamental concepts would be represented by symbols which could be combined to represent more complex thoughts. Leibniz never finished this work.

Leibniz, who had strong conceptual differences with Newton in other areas, notably with Newton's concept of absolute space, also develop bitter conceptual differences with Descartes over what was then referred to as the "fundamental quantity of motion", a precursor of the Law of Conservation of Energy.

Much of Leibniz' work went unpublished during his lifetime. He died embittered, in ill health, and without achieving the considerable wealth, fame, and honor accorded to Newton.

Leibniz' diverse writings -- philosophical, mathematical, historical, and political -- were resurrected and published in the late 19th and 20th centuries.

But calculus -- with Leibniz notation still in use today -- remains his towering legacy.

12. Evariste Galois (1811 - 1832)

Évariste Galois (French pronunciation: [evaʁist ɡalwa]; October 25, 1811May 31, 1832) was a French mathematician born in Bourg-la-Reine. While still in his teens, he was able to determine a necessary and sufficient condition for a polynomial to be solvable by radicals, thereby solving a long-standing problem. His work laid the foundations for Galois theory, a major branch of abstract algebra, and the subfield of Galois connections. He was the first to use the word "group" (French: groupe) as a technical term in mathematics to represent a group of permutations. A radical Republican during the monarchy of Louis Philippe in France, he died from wounds suffered in a duel under murky circumstances[1] at the age of twenty.

Known for Work on the theory of equations and Abelian integrals

10 October 2008

Motivating Children to Keep Diligent at Study

When we hear word "Learning", most children won't do that. Let's see what Mrs. Shelly always shouts first to order her children to study "My children always hide from me, when I command them to study. When I find them, they run and hide anywhere.Like play hide and seek.It make me angry", she said. As a parents of course we want our children being a smart and clever, and don't loose subjects at school, but how to make our children like "learning" ?

Okay, these are the tips.....

1. Make a good example for the kids.
Parents are the example for their children, so we must give them a good example. When parents command and watch them learning, try an acts as you are learning something, for example reading a book or discussing something mempelajari sesuatu. Sometime take them discuss some hot topics together. So the children can see that the parents are learning too.

2. Choose the good time to study
When the children are tired, they won't do anything. So, try to choose a good time to study with fresh condition of your children . You can try to choose time to study at evening, when they have take a bath..

3. Make a schedule
Children always do something exactly. With a daily routine study schedule, they will understand that a time to study and obey it.

4. Knowing your children's concentration
every children have concentration power and every children have a different level. Take a look you rchildren ; is your children as a child who can concentrating about 2 hour or only 30 minutes. If your children is a child who have short concentration, give them take a rest and they can continue their study .

5. Give your help when they need to
When they do their homework, sometimes the chldren faund difficult to solve the problems. Help them to solve the homework. Not necessary all of the homework you solve, but only oen or two numbers that difficult for your children. So the children know how to solve it....

With several tips above, I hope Mrs Shelly doesn't shout and "play" hide and seek with her children to order them to study anymore ...

08 October 2008

Infomation Education Exhibition

Information Education Exhibition at Bandung on October - November 2008 :

1. Free Of Charge, Making Web and Your Own Blog

This event will be held at 13 - 22 November 2008 by Institut Teknologi Harapan Bangsa (Harapan Bangsa Institut of Technology )
This event just for the High School students grade XII.

We will get :
  • Free of charge course with relevant subject and up to date
  • Computer facilites
  • Full AC roomclass
  • Experience instructors
  • Certificate of Accomplishment from ITHB - CRC
What the subjects ?
  • PHP
  • HTML
  • MySQL
  • Blog Design
The schedules :
You can choose any offer packages schedules :
A. 13, 14, 15 Nov 2008 : 9 - 11 am
B. 13, 14, 15 Nov 2008 : 3.30 - 5.30 pm
C. 17, 18, 19 Nov 2008 : 9 - 11 am
D. 17, 18, 19 Nov 2008 : 3.30 - 5.30 pm
E. 20, 21, 22 Nov 2008 : 9 - 11 am
F. 20, 21, 22 Nov 2008 : 3.30 - 5.30 pm
G. 15 Nov, 22 Nov 2008 : 12.30 am - 3.30 pm

Contact us :
  • BP teacher each schools
  • Campus ITHB :
Jl. Diponegoro 80 - 84
Bandung
Phone : (022) 250 6604 / 250 6636
Contact Person : Pasca / Nenden / Sonya
Email : pasca_ip@itbh.ac.id

Registration until 8 November 2008

2. Hospitally : Education & Careers Without Boundaries
GLION & LES ROCHES

Ready to Work Programme :
Diploma, S1, post graduates, S2 (MBA)
you will be paid almost 20.000.000 each months

Contact :
Agent Bandung :
(022) 8606 1033
Ruko Paskal Hyper Square A-30
Bandung

Presentation of Education Service Business and Hotel
Wednesday, 8 October 2008
at Aston Hotel Braga, Bandung
Consultation : 5.30 - 6.00 pm
Presentation : 6 - 8 pm

Friday, 10 October 2008
at Sanur Paradise Plaza Hotel, Denpasar - Bali
Consultation : 5.30 - 6.00 pm
Presentation : 6 - 8 pm

3. International & Dual Degree ICAT

Campus ICAT & Nurtanio University
Jl. Padjajaran 219, Bandung

Study time : 3 years in Indonesia, you will get Bachelor Degree from Sikkim Manipal University (india) or London University (UK)
You can continue your study at overseas with programme Higher National Diploma from Edexcel (UK) for 2 years.

Three years programme :
University of London : Computing and information Systems, Business, Information Systems and Management
Manipal Iniversity : Information Technology, Business Administration, Retail Operations, Fashion Design
Manipal & Nurtanio University : Information Technology, Business Administration, Technique Information, Business Management

2 Years programme (continue to S1) :
Edexcel : Computing, ICT system supports, software Development, Business, Management, Marketing, Interactive Media, Fashion Design

4. Profesional Fashion Course by ICAT and Nurtanio University
A. BASIC PROGRAMME(3 Months = Rp 5,000,000.00) :
  • Intoduction to fashion concept
  • Introduction to textile
  • Basic Pattern making
  • Introduction to the sewing technology
  • Basic fashion illustration
B. ADVANCE PROGRAMME (6 Months = Rp 8,000,000.00)
  • Principle & element of design
  • Advance multimedia
  • partern making
  • Sewing technology
  • Fashion Illustration
  • Yarn to Fabric
  • History of fashion
C. HIGH FASHION COURSE PROGRAMME ( 1 Year = Rp 15,000,000.00)
  • History of fashion
  • Advance Prinsiple & element of design
  • Garment manufacturing
  • Pattern making
  • Advance CAD
  • Fashion Illustration
  • Sewing technology
  • Portofolio development
  • Introduction to textile
  • Fashion styling
Information and registration :

Campus ICAT - Nurtanio University :
Jl. Padjajaran 219, Bandung
Phone : (022) 860 61 700
Fax (022) 860 61 701
at 8 am - 5 pm
email : info@icat.ac.id
visit us : www. icat.ac.id

07 October 2008

Google Translate Engine

Hello, anybody...nice to meet you again after Lebaran's holiday....
If you difficult to understand what I've written here, you can translate into Indonesia by click :
http://translate.google.com/translate_t?hl=en#
I hope it can help you to understand what i've writeen, and what I've thought...

Best regards,
Vincentius Haryanto
Admin / Owner