Graph Theory
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A 6 page overview of the mathematical discipline of graph theory. As a field of study, graph theory has nothing at all to do with what most people normally associate with the word 'graph,' and is a specialized field. Applications range from analyzing children's games to finding the furthest stretch of graph theory principles. Bibliography lists 6 sources.
Filename: Graph.wps

History and Use of the Number "e"
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This 5 page paper introduces the topic with a modern day look at compound interest, then delves into the history of the number e. Both early and modern uses are discussed. Bibliography lists 5 sources.
Filename: SA114e.wps

History of Calculus
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Calculus provides methods to deal with varying quantities. O'Connor & Robertson (1996) state that it has been evolving since Zeno in 450 B.C.E, who was supposed to be the first to posit an equation based on the infinite. However, the first infinite equation is believed to have been introduced by Archimedes in 250 B.C.E., bringing with it leaps in logic from theorists like Barrow, Newton and Leibniz. Bibliography lists 4 sources. jvHisClc.rtf
Filename: jvHisClc.rtf

Hyperbolas and Parabolas
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A 12 page research paper that explores the fascinating nature of these conic sections. The writer discusses the history of conic investigation, their definitions, and then explores multiple applications and uses of these concepts. Bibliography lists 7 sources.
Filename: khhyppar.rtf

Hypothesis Test And Results
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This 8 page paper is based on data provided by the student which is used to perform an ANOVA test. The raw data, hypothesis test and potential explanation for the results are all presented.
Filename: TEasiast.rtf

Hypothesis Testing and Regression Analysis
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A 9 page paper addressing the requirements of Unit 5 IP including hypothesis testing, ANOVA and regression analysis. Bibliography lists 4 sources.
Filename: KSstatHypRegr.rtf

Integer Factorization
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A 6 page paper discussing the concept of integer factorization, providing examples and listing several shortcuts. Integer factorization can be difficult to grasp at first, but it becomes quite easy with practice and with assimilation of the shortcuts common in finding factors of a number. The factor tree is useful for identifying the prime factors of numbers, though it can become quite lengthy when beginning with very large numbers. Resulting factors simplify other operations, such as finding least common denominators of fractions. Bibliography lists 4 sources.
Filename: KSmathIntFactor.rtf

Interpreting Statistical Results
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This 3 page paper answers 12 short questions set by the student concerning statistical data given in a table looking 4 sample groups asking about at the eating habits of male and female students and non students. The bibliography cites 2 sources.
Filename: TEfoodcase.rtf

Inuitive and axiomatic mathematics
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A paper which considers the difference between intuitive and axiomatic mathematics, and some of the reasons why the former is most commonly found in school curriculums, whereas the latter forms part of university level studies. Bibliography lists 11 sources.
Filename: JLaxiom.rtf

Is Salary Correlated with Education Length
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This 7 page paper uses data supplied by the student in order to assess if there appears to be a positive correlation between wages and length of time an individual has spent in education. The paper undertakes a statistical analysis and an hypothesis test. The bibliography cites 2 sources.
Filename: TEedsalary.rtf

Is There A Relationship Between Experience And Wages?
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This 7 page paper uses data supplied by the student to assess whether or not there is a link between the length of job experience and the level of wages earned. The paper uses statistical analysis to look at the data and performs an hypothesis test.
Filename: TEexpwage.rtf

Issues in Mathematical Decidability
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This 8 page paper looks at the definition of decidability and then answers some specific questions posed by the student to do with its use and interaction in calculus. The bibliography cites 5 sources
Filename: TEdecida.wps