MATH 4109 Exam UPDATED ACTUAL
Exam Questions and CORRECT Answers
Rhind Papyrus - CORRECT ANSWER - 87 problems concerned with practical problems
Significance of the Rhind Papyrus - CORRECT ANSWER - Included the Method of False
position, multiplication and division procedures, and unit fractions.
Ahmes - CORRECT ANSWER - Wrote the Rhind Papyrus
Pythagorean theorem - CORRECT ANSWER - a^2+b^2=c^2
Euclid - CORRECT ANSWER - Wrote The Elements; wrote a theorem similar to
fundamental theorem of arithmetic
The Elements - CORRECT ANSWER - Deductive system based on
definitions and axioms from which theorems could be proven.
Significance of The Elements - CORRECT ANSWER - THE geometry curriculum for
2,000 years, introduced the axiomatic method. Wrote theorem very similar to fundamental
theorem of arithmetic.
Fundamental Theorem of Arithmetic - CORRECT ANSWER - Every natural number
greater
than 1 can be expressed as a product of prime numbers in a unique way apart
from the order in which the prime factors might be written.
Axiomatic method - CORRECT ANSWER - Using definitions, axioms (postulates), and
propositions (theorems) to solve a problem.
, Ptolemaic model of the universe - CORRECT ANSWER - geocentric model
Copernican model of the universe - CORRECT ANSWER - heliocentric model
The Condensed Book on the Calculation of al Jabr and al Mugabala - CORRECT
ANSWER - First book written about Algebra
Significance of The Condensed Book on the Calculation of al Jabr and al Mugabala - CORRECT
ANSWER - highly practical, used to solve real life problems that were part of everyday
life in the Islam empire at that time
al Jabr - CORRECT ANSWER - Reunion
al Mugabala - CORRECT ANSWER - Reduction
Al-Khwarizmi - CORRECT ANSWER - Author of The Condensed Book on the
Calculation of al Jabr and al Mugabala; known as the father of algebra
1st development of algebraic symbols - CORRECT ANSWER - Nobody could solve 5th
degree polynomials, so algebraists started asking deeper questions about polynomials and their
roots
2nd development of algebraic symbols - CORRECT ANSWER - Fermat and Descartes
linked algebra and geometry, creating analytic geometry
3rd development of algebraic symbols - CORRECT ANSWER - Fermat, can a perfect
square equal a perfect cube plus one
Exam Questions and CORRECT Answers
Rhind Papyrus - CORRECT ANSWER - 87 problems concerned with practical problems
Significance of the Rhind Papyrus - CORRECT ANSWER - Included the Method of False
position, multiplication and division procedures, and unit fractions.
Ahmes - CORRECT ANSWER - Wrote the Rhind Papyrus
Pythagorean theorem - CORRECT ANSWER - a^2+b^2=c^2
Euclid - CORRECT ANSWER - Wrote The Elements; wrote a theorem similar to
fundamental theorem of arithmetic
The Elements - CORRECT ANSWER - Deductive system based on
definitions and axioms from which theorems could be proven.
Significance of The Elements - CORRECT ANSWER - THE geometry curriculum for
2,000 years, introduced the axiomatic method. Wrote theorem very similar to fundamental
theorem of arithmetic.
Fundamental Theorem of Arithmetic - CORRECT ANSWER - Every natural number
greater
than 1 can be expressed as a product of prime numbers in a unique way apart
from the order in which the prime factors might be written.
Axiomatic method - CORRECT ANSWER - Using definitions, axioms (postulates), and
propositions (theorems) to solve a problem.
, Ptolemaic model of the universe - CORRECT ANSWER - geocentric model
Copernican model of the universe - CORRECT ANSWER - heliocentric model
The Condensed Book on the Calculation of al Jabr and al Mugabala - CORRECT
ANSWER - First book written about Algebra
Significance of The Condensed Book on the Calculation of al Jabr and al Mugabala - CORRECT
ANSWER - highly practical, used to solve real life problems that were part of everyday
life in the Islam empire at that time
al Jabr - CORRECT ANSWER - Reunion
al Mugabala - CORRECT ANSWER - Reduction
Al-Khwarizmi - CORRECT ANSWER - Author of The Condensed Book on the
Calculation of al Jabr and al Mugabala; known as the father of algebra
1st development of algebraic symbols - CORRECT ANSWER - Nobody could solve 5th
degree polynomials, so algebraists started asking deeper questions about polynomials and their
roots
2nd development of algebraic symbols - CORRECT ANSWER - Fermat and Descartes
linked algebra and geometry, creating analytic geometry
3rd development of algebraic symbols - CORRECT ANSWER - Fermat, can a perfect
square equal a perfect cube plus one
