MATH 4109: Final Section 1 UPDATED
ACTUAL Exam Questions and CORRECT
Answers
A book with a collection of 465 theorems. It was organized so that if you needed one another
proof in a theorem then it was before that one in the book. 13 books: Triangles & Parallel lines,
proportions of circles, problems about circles, proportion, number theory, irrational numbers,
solid geometry - CORRECT ANSWER - The Elements
-Handbook of 246 mathematical problems.
-methods used to solve problems of engineering, trade, taxation, and surveying
-played a fundamental role in the development of mathematics in China
-200 bc book; 263 ad commentary by Liu Hui - CORRECT ANSWER - Nine Chapters on
the Mathematical Art
-used 9 characters for 1-9 and a circle for 0
-demonstrated how to write numerals in this system
-contained algorithms for =,-,x,÷, halving, doubling, finding square roots
-fractions
-introduced Hindu-Arabic Systems to Europe - CORRECT ANSWER - Book of Addition
and Subtraction According to the Hindu Calculation
manual for solving linear and quadratic equations
*al-Jabr* - "restoring"
*al-Mugabala* - "comparing" - CORRECT ANSWER - The Condensed Book on the
Calculation of al-Jabr and al-Muqabala
-wrote by Fibonacci
-introduced Hindu-Arabic numeration system
-describes the algorithms for addition, subtraction, multiplication, and division that we use today
, -Fibonacci numbers
-1,1,2,3,5,8,13,21 - CORRECT ANSWER - Liber Abaci
-"The Great Art"
-wrote by Girolamo Cardano
-1st book written in Latin devoted entirely to algebra
-contains solution methods for both cubic and quartic equations
-significant for its focus on theory of equations
-method used to solve cubic equations was to reduce the cubic equation to a quadratic equation
that could be solved - CORRECT ANSWER - Ars Magna
-written by Galileo
-written in Italian
-conversation between 3 people:
-Salviati
-Simplicio
-Sagredo
-best seller; not popular with church
-argument in favor or Copernican Theory
-presented the model for Copernican Universe - CORRECT ANSWER - Dialogue
Concerning the Two Chief World Systems
-wrote by Galileo
-published in Holland
-set out his scientific theory
-dealt with projectile motion & acceleration due to gravity - CORRECT ANSWER -
Discourses and Mathematical Demonstrations Concerning Two New Sciences
-wrote by Rene Decartes
ACTUAL Exam Questions and CORRECT
Answers
A book with a collection of 465 theorems. It was organized so that if you needed one another
proof in a theorem then it was before that one in the book. 13 books: Triangles & Parallel lines,
proportions of circles, problems about circles, proportion, number theory, irrational numbers,
solid geometry - CORRECT ANSWER - The Elements
-Handbook of 246 mathematical problems.
-methods used to solve problems of engineering, trade, taxation, and surveying
-played a fundamental role in the development of mathematics in China
-200 bc book; 263 ad commentary by Liu Hui - CORRECT ANSWER - Nine Chapters on
the Mathematical Art
-used 9 characters for 1-9 and a circle for 0
-demonstrated how to write numerals in this system
-contained algorithms for =,-,x,÷, halving, doubling, finding square roots
-fractions
-introduced Hindu-Arabic Systems to Europe - CORRECT ANSWER - Book of Addition
and Subtraction According to the Hindu Calculation
manual for solving linear and quadratic equations
*al-Jabr* - "restoring"
*al-Mugabala* - "comparing" - CORRECT ANSWER - The Condensed Book on the
Calculation of al-Jabr and al-Muqabala
-wrote by Fibonacci
-introduced Hindu-Arabic numeration system
-describes the algorithms for addition, subtraction, multiplication, and division that we use today
, -Fibonacci numbers
-1,1,2,3,5,8,13,21 - CORRECT ANSWER - Liber Abaci
-"The Great Art"
-wrote by Girolamo Cardano
-1st book written in Latin devoted entirely to algebra
-contains solution methods for both cubic and quartic equations
-significant for its focus on theory of equations
-method used to solve cubic equations was to reduce the cubic equation to a quadratic equation
that could be solved - CORRECT ANSWER - Ars Magna
-written by Galileo
-written in Italian
-conversation between 3 people:
-Salviati
-Simplicio
-Sagredo
-best seller; not popular with church
-argument in favor or Copernican Theory
-presented the model for Copernican Universe - CORRECT ANSWER - Dialogue
Concerning the Two Chief World Systems
-wrote by Galileo
-published in Holland
-set out his scientific theory
-dealt with projectile motion & acceleration due to gravity - CORRECT ANSWER -
Discourses and Mathematical Demonstrations Concerning Two New Sciences
-wrote by Rene Decartes
