MATH 4109 Exam 2025 Questions and
Answers 100% Pass
Rhind Papyrus - ✔✔87 problems concerned with practical problems
Significance of the Rhind Papyrus - ✔✔Included the Method of False position,
multiplication and division procedures, and unit fractions.
Ahmes - ✔✔Wrote the Rhind Papyrus
Pythagorean theorem - ✔✔a^2+b^2=c^2
Euclid - ✔✔Wrote The Elements; wrote a theorem similar to fundamental theorem of
arithmetic
The Elements - ✔✔Deductive system based on
definitions and axioms from which theorems could be proven.
Significance of The Elements - ✔✔THE geometry curriculum for 2,000 years, introduced
the axiomatic method. Wrote theorem very similar to fundamental theorem of
arithmetic.
Fundamental Theorem of Arithmetic - ✔✔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 - ✔✔Using definitions, axioms (postulates), and propositions
(theorems) to solve a problem.
COPYRIGHT © 2025 BY SOPHIA BENNETT, ALL RIGHTS RESERVED 1
, Ptolemaic model of the universe - ✔✔geocentric model
Copernican model of the universe - ✔✔heliocentric model
The Condensed Book on the Calculation of al Jabr and al Mugabala - ✔✔First book
written about Algebra
Significance of The Condensed Book on the Calculation of al Jabr and al Mugabala -
✔✔highly practical, used to solve real life problems that were part of everyday life in
the Islam empire at that time
al Jabr - ✔✔Reunion
al Mugabala - ✔✔Reduction
Al-Khwarizmi - ✔✔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 - ✔✔Nobody could solve 5th degree polynomials,
so algebraists started asking deeper questions about polynomials and their roots
2nd development of algebraic symbols - ✔✔Fermat and Descartes linked algebra and
geometry, creating analytic geometry
3rd development of algebraic symbols - ✔✔Fermat, can a perfect square equal a perfect
cube plus one
Girolamo Cardano - ✔✔Wrote Ars Magna after hearing Tartaglia say solution to cubic
problems. Tartaglia got answers from del Ferro
Ars Magna - ✔✔Written by Cardano, solution to cubic equations. Cardano promised
not to publish the material but went on to do it anyway.
Fibonacci - ✔✔Author of Liber Abaci; introduced fibonacci numbers, the golden ratio,
and the golden rectangle
COPYRIGHT © 2025 BY SOPHIA BENNETT, ALL RIGHTS RESERVED 2
Answers 100% Pass
Rhind Papyrus - ✔✔87 problems concerned with practical problems
Significance of the Rhind Papyrus - ✔✔Included the Method of False position,
multiplication and division procedures, and unit fractions.
Ahmes - ✔✔Wrote the Rhind Papyrus
Pythagorean theorem - ✔✔a^2+b^2=c^2
Euclid - ✔✔Wrote The Elements; wrote a theorem similar to fundamental theorem of
arithmetic
The Elements - ✔✔Deductive system based on
definitions and axioms from which theorems could be proven.
Significance of The Elements - ✔✔THE geometry curriculum for 2,000 years, introduced
the axiomatic method. Wrote theorem very similar to fundamental theorem of
arithmetic.
Fundamental Theorem of Arithmetic - ✔✔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 - ✔✔Using definitions, axioms (postulates), and propositions
(theorems) to solve a problem.
COPYRIGHT © 2025 BY SOPHIA BENNETT, ALL RIGHTS RESERVED 1
, Ptolemaic model of the universe - ✔✔geocentric model
Copernican model of the universe - ✔✔heliocentric model
The Condensed Book on the Calculation of al Jabr and al Mugabala - ✔✔First book
written about Algebra
Significance of The Condensed Book on the Calculation of al Jabr and al Mugabala -
✔✔highly practical, used to solve real life problems that were part of everyday life in
the Islam empire at that time
al Jabr - ✔✔Reunion
al Mugabala - ✔✔Reduction
Al-Khwarizmi - ✔✔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 - ✔✔Nobody could solve 5th degree polynomials,
so algebraists started asking deeper questions about polynomials and their roots
2nd development of algebraic symbols - ✔✔Fermat and Descartes linked algebra and
geometry, creating analytic geometry
3rd development of algebraic symbols - ✔✔Fermat, can a perfect square equal a perfect
cube plus one
Girolamo Cardano - ✔✔Wrote Ars Magna after hearing Tartaglia say solution to cubic
problems. Tartaglia got answers from del Ferro
Ars Magna - ✔✔Written by Cardano, solution to cubic equations. Cardano promised
not to publish the material but went on to do it anyway.
Fibonacci - ✔✔Author of Liber Abaci; introduced fibonacci numbers, the golden ratio,
and the golden rectangle
COPYRIGHT © 2025 BY SOPHIA BENNETT, ALL RIGHTS RESERVED 2
