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Math 4109 Exam 2 Questions And Answers Verified 100% Correct

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Math 4109 Exam 2 Questions And Answers Verified 100% Correct The mathematician, al-Khwarizmi, used a symbol for zero in his book about numeration. - ANSWER -True During the period of the Islamic Empire, negative numbers were acceptable solutions of quadratic equations. - ANSWER -False What was the FIRST "translation movement?" - ANSWER -The movement to translate the world's knowledge into Arabic. What was the significance of The Book on Addition and Subtraction? - ANSWER -It explained the use of the Hindu decimal system of numerals. Which city was the academic and intellectual center of the Islamic Empire and the home to the House of Wisdom? - ANSWER -Baghdad In what area did the mathematician, Al-Uqlidisi, make his contributions? - ANSWER -Decimal fractions In what branch of mathematics were the most important contributions of the Islamic mathematicians? - ANSWER -Algebra Which equation defines the golden ratio, b/a? - ANSWER -b/a = (a+b)/b A Chinese text from the eleventh century provides evidence that they knew about what mathematical idea that is usually associated with a 17th century French mathematician? - ANSWER -Pascal's triangle What is zero divided by a negative number? - ANSWER -Zero In medieval Europe, which institution filled the educational void? - ANSWER The Christian church Who was the Indian mathematician who introduced negative numbers and the rules for computing with them? - ANSWER -Brahmagupta The Mathematical Classic of Master Sun is an important work from which country or empire? - ANSWER -China What was the source of most of the mathematics in Fibonacci's work? - ANSWER -The procedures and concepts of tenth-century Islamic mathematics. What is the most famous problem in Liber Abaci? - ANSWER -The rabbit problem How did the educational system in medieval India facilitate the transmission of mathematical knowledge from one generation to the next? - ANSWER -The education system was family-based, and families would pass their libraries and traditions down to the next generation. Who was the greatest European mathematician of the 11th and 12th centuries? - ANSWER -Leonardo of of Pisa In which stage of algebraic development did Diophantus make contributions? - ANSWER -Syncopated Which book is considered the first book devoted entirely to algebra? - ANSWER Arithmetica Who is the father of English cryptography? - ANSWER -John Wallis What is "syncopated" algebra? - ANSWER -Shorthand way of writing algebraic expressions using abbreviations What were the primary contents of the book, Ars Magna? - ANSWER -The solution of cubic and quartic equations. What strategy did Girolamo Cardano use to solve cubic equations? - ANSWER With a particular substitution, he transformed the cubic equation into a quadratic equation which he did know how to solve. Which mathematician used the letters at the end of the alphabet to represent unknown quantities and the letters at the beginning of the alphabet to represent known quantities or constants? - ANSWER -Rene Descartes What was Viete's contribution to the development of the modern symbolism of algebra? - ANSWER -He used letters to represent unknown quantities. Who is sometimes called the "father of algebra?" - ANSWER -Diophantus In which area did Girolamo Cardano make the most significant contributions? - ANSWER -Algebra In the Ptolemaic model of the universe, the equant is the center of the epicycle that moves around the earth. - ANSWER -False According to Kepler's First Law, what is the shape of planetary orbits around the sun? - ANSWER -Ellipse Who wrote the mathematical text, Almagest? - ANSWER -Ptolemy What is a chord of a circle? - ANSWER -A line segment that intersects a circle in two points. Who was the first astronomer to put forward the theory that the sun is at the center of the universe? - ANSWER -Aristarchus of Samos For what operation did John Napier use Napier's bones (or Napier's rods)? - ANSWER -Multiplication Why did John Napier invent logarithms? - ANSWER -To make computation with large numbers less tedious. The Ptolemaic model of the universe is a heliocentric model. - ANSWER -False According to one of the principles in the Copernican model, what is at the center of the moon's orbit? - ANSWER -The earth Besides mathematics and astronomy, in which other branch of science did Ptolemy make significant contributions? - ANSWER -Geography How were Descartes' and Fermat's coordinate systems different from ours today? - ANSWER -They never referred to a vertical axis. In which country were Descartes and Fermat born? - ANSWER -France

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Math 4109 Exam 2 Questions And Answers
Verified 100% Correct

The mathematician, al-Khwarizmi, used a symbol for zero in his book about
numeration. - ANSWER -True

During the period of the Islamic Empire, negative numbers were acceptable
solutions of quadratic equations. - ANSWER -False

What was the FIRST "translation movement?" - ANSWER -The movement to
translate the world's knowledge into Arabic.

What was the significance of The Book on Addition and Subtraction? - ANSWER
-It explained the use of the Hindu decimal system of numerals.

Which city was the academic and intellectual center of the Islamic Empire and the
home to the House of Wisdom? - ANSWER -Baghdad

In what area did the mathematician, Al-Uqlidisi, make his contributions? -
ANSWER -Decimal fractions

In what branch of mathematics were the most important contributions of the
Islamic mathematicians? - ANSWER -Algebra

Which equation defines the golden ratio, b/a? - ANSWER -b/a = (a+b)/b

A Chinese text from the eleventh century provides evidence that they knew about
what mathematical idea that is usually associated with a 17th century French
mathematician? - ANSWER -Pascal's triangle

What is zero divided by a negative number? - ANSWER -Zero

In medieval Europe, which institution filled the educational void? - ANSWER -
The Christian church

Who was the Indian mathematician who introduced negative numbers and the
rules for computing with them? - ANSWER -Brahmagupta

, The Mathematical Classic of Master Sun is an important work from which country
or empire? - ANSWER -China

What was the source of most of the mathematics in Fibonacci's work? - ANSWER
-The procedures and concepts of tenth-century Islamic mathematics.

What is the most famous problem in Liber Abaci? - ANSWER -The rabbit
problem

How did the educational system in medieval India facilitate the transmission of
mathematical knowledge from one generation to the next? - ANSWER -The
education system was family-based, and families would pass their libraries and
traditions down to the next generation.

Who was the greatest European mathematician of the 11th and 12th centuries? -
ANSWER -Leonardo of of Pisa

In which stage of algebraic development did Diophantus make contributions? -
ANSWER -Syncopated

Which book is considered the first book devoted entirely to algebra? - ANSWER -
Arithmetica

Who is the father of English cryptography? - ANSWER -John Wallis

What is "syncopated" algebra? - ANSWER -Shorthand way of writing algebraic
expressions using abbreviations

What were the primary contents of the book, Ars Magna? - ANSWER -The
solution of cubic and quartic equations.

What strategy did Girolamo Cardano use to solve cubic equations? - ANSWER -
With a particular substitution, he transformed the cubic equation into a quadratic
equation which he did know how to solve.

Which mathematician used the letters at the end of the alphabet to represent
unknown quantities and the letters at the beginning of the alphabet to represent
known quantities or constants? - ANSWER -Rene Descartes

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