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by: Kennith Herman


Marketplace > University of Kentucky > Mathematics (M) > MA 330 > HISTORY OF MATHEMATICS
Kennith Herman
GPA 3.54

Benjamin Braun

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Benjamin Braun
Class Notes
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This 1 page Class Notes was uploaded by Kennith Herman on Friday October 23, 2015. The Class Notes belongs to MA 330 at University of Kentucky taught by Benjamin Braun in Fall. Since its upload, it has received 8 views. For similar materials see /class/228132/ma-330-university-of-kentucky in Mathematics (M) at University of Kentucky.

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Date Created: 10/23/15
MA 330 001 EXAM 1 REVIEW SHEET Exam 1 will cover chapters 1 7 6 of Journey Through Genius The exam will be in class with no notes or books allowed The exam will cover the material described below 1 For each of the following theorems be prepared to state the theorem provide an outline of the proof andor provide a detailed proof Unless otherwise noted the proofs should be those given in Journey Through Genius 2 is irrational prove without using incommensurability use an argument from num ber theory as discussed in class Quadrature of the rectangle pg 13 Quadrature of the triangle pg 14 Quadrature of the Lune Great Theorem pg 18 Construction of equilateral triangle pg 37 Exterior angle theorem pg 41 Alternate angle equality and parallels pg 44 Pythagorean theorem Great Theorem pg 49 Converse of the Pythagorean theorem pg 51 Measurability of composite numbers by primes pg 70 ln nitude of primes Great Theorem pg 73 Determination of area of regular polygon pg 90 Proposition 1 of Measurement of a Circle Great Theorem pg 92 Heron s Formula Great Theorem pg 122 OUTLINE ONLY Derivation of Pythagorean theorem from Heron s formula pg 127 Solution of the depressed cubic Great Theorem pg 143 Methods for depressing quadratics and cubics pg 1477149 2 Be prepared to sketch a map and label it with any of the geographic areas discussed so far in Journey Through Genius 3 Be prepared to provide biographical information about Thales Pythagorus Plato Eudoxus Euclid Archimedes Eratosthenes and Cardano 4 Be prepared to tell the story surrounding the discovery of the solution to the cubic equation 5 Be prepared to discuss your favorite of the six Great Theorems77 encountered so far and explain in detail why it is your favorite


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