MATH 533 Heliocentric vs Geocentric Solar System Keplers Laws Essay
Order ID 53563633773 Type Essay Writer Level Masters Style APA Sources/References 4 Perfect Number of Pages to Order 5-10 Pages
Heliocentric vs. geocentric solar system, Keplers laws, Inductive reasoning and Galileo
Analytic geometry and deductive reasoning: Descartes and FermatWhat purpose does coordinate geometry have for Descartes, and what relationship does it have with geometric construction and problem-solving? How does it relate to his Method?
Indivisibles: Galileos paradoxes of the infinite, Cavalieris principle
Was there any work before Newton and Leibniz about finding equations of tangent and normal lines to curves? or about quadrature (areas under curves)? If so, why do we credit Newton and Leibniz with the discovery of calculus instead of Isaac
Barrow and some of these other folks?
Isaac Newtons method of fluxions, fluents, moments
Newtons Principia MathematicaWhat is it about, why is it important, how does it differ from his earlier version of calculus with fluxions?
G.W. Leibnizs infinitesimalsHow are these different from indivisibles? How are they different from Newtons infinitesimals? What complaints do some contemporaries have about them?
Who are some folks who applied calculus ideas in the early 1700s and what is an example of how they did?
Why are power series important in the development of calc? Why was it important that Eulers work with infinite series and analysis was so formal and symbolic? How does this influence Lagranges development of calculus?
How does the idea of function change between 1700 and 1850?
Why does each of the following examples of 19th-century mathematics reflect a crisis of the Enlightenment perspective of the previous century? How did things not work quite so smoothly as previously thought? Examples:
o Insolvabilityof5th-degreepolynomials,andofthe3toughGreekconstructionproblems o Non-Euclideangeometry(whatisthis,whodowecreditwithitsdiscovery,andwhydoes
it reflect a change of perspective?)
What is set theory and how does it relate to the axiomatization of mathematics? Who are the characters in that story?
What are formalism, platonism, intuitionism, and logicism? More specifically:
o Whywereintuitionists(constructivists)opposedtoCantorsideasaboutinfinitesets? o Whatareacoupleimportantmathematicalideaswemightnothavehadifwewereall
platonists, and why?
was an important question?
Chinese math examples: counting boards, number representations and calculation methods, systems of equations, magic squares, Pythagorean theorem, Chinese remainder theorem
Mayan math: calendars, pure base-20 system vs. positional almost-base-20 solar calendar system, zero
Inca math: what were quipus for, how were numbers represented, yupanas (weird abacuses) and calculation
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Elements of the required response may also be lacking. 40 points out of 50: The essay illustrates solid understanding of the relevant material by correctly addressing most of the relevant content; identifying and explaining most of the key concepts/ideas; using correct terminology; explaining the reasoning behind most of the key points/claims; and/or where necessary or useful, substantiating some points with accurate examples. The answer is complete. 50 points: The essay illustrates exemplary understanding of the relevant material by thoroughly and correctly addressing the relevant content; identifying and explaining all of the key concepts/ideas; using correct terminology explaining the reasoning behind key points/claims and substantiating, as necessary/useful, points with several accurate and illuminating examples. No aspects of the required answer are missing. Use of Sources (worth a maximum of 20% of the total points). Zero points: Student failed to include citations and/or references. Or the student failed to submit a final paper. 5 out 20 points: Sources are seldom cited to support statements and/or format of citations are not recognizable as APA 6th Edition format. There are major errors in the formation of the references and citations. And/or there is a major reliance on highly questionable. The Student fails to provide an adequate synthesis of research collected for the paper. 10 out 20 points: References to scholarly sources are occasionally given; many statements seem unsubstantiated. Frequent errors in APA 6th Edition format, leaving the reader confused about the source of the information. There are significant errors of the formation in the references and citations. And/or there is a significant use of highly questionable sources. 15 out 20 points: Credible Scholarly sources are used effectively support claims and are, for the most part, clear and fairly represented. APA 6th Edition is used with only a few minor errors. There are minor errors in reference and/or citations. And/or there is some use of questionable sources. 20 points: Credible scholarly sources are used to give compelling evidence to support claims and are clearly and fairly represented. APA 6th Edition format is used accurately and consistently. The student uses above the maximum required references in the development of the assignment. 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Structure of the Paper (worth 10% of total points) Zero points: Student failed to submit the final paper. 3 points out of 10: Student needs to develop better formatting skills. The paper omits significant structural elements required for and APA 6th edition paper. Formatting of the paper has major flaws. The paper does not conform to APA 6th edition requirements whatsoever. 5 points out of 10: Appearance of final paper demonstrates the student’s limited ability to format the paper. There are significant errors in formatting and/or the total omission of major components of an APA 6th edition paper. They can include the omission of the cover page, abstract, and page numbers. Additionally the page has major formatting issues with spacing or paragraph formation. Font size might not conform to size requirements. The student also significantly writes too large or too short of and paper 7 points out of 10: Research paper presents an above-average use of formatting skills. The paper has slight errors within the paper. This can include small errors or omissions with the cover page, abstract, page number, and headers. There could be also slight formatting issues with the document spacing or the font Additionally the paper might slightly exceed or undershoot the specific number of required written pages for the assignment. 10 points: Student provides a high-caliber, formatted paper. This includes an APA 6th edition cover page, abstract, page number, headers and is double spaced in 12’ Times Roman Font. Additionally, the paper conforms to the specific number of required written pages and neither goes over or under the specified length of the paper.
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