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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 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

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

John Napier / The Creator of Logarithms
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A 9 page research paper on the life, works, and mathematical contributions of John Napier (1550-1617) -- the man most commonly associated with the creation of Logarithms. Napier also developed methods for multiplying and dividing small rods known as Napier's Bones, a device that was the forerunner of the slide rule. Some sample equations and a glossary of terms (defined) are included. Bibliography lists 12+ sources. Napier.wps *A 10 page version of this report is also available with more personal analysis as
Filename: Napier2.wps

John Napier / The Creator of Logarithms
[ send me this paper ]
A 9 page research paper on the life, works, and mathematical contributions of John Napier (1550-1617) -- the man most commonly associated with the creation of Logarithms. Napier also developed methods for multiplying and dividing small rods known as Napier's Bones, a device that was the forerunner of the slide rule. Some sample equations and a glossary of terms (defined) are included. Bibliography lists 12+ sources.
Filename: Napier.wps

Jordanus Nemorarius And Leonardo Pisano Fibonacci
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A 3 page paper that reports some of the contributions made to mathematics by these two early 13th century mathematicians. Jordanus, for instance, substituted letters for numbers and Fibonacci brought the decimal system to his world. Bibliography lists 4 sources.
Filename: PGjrfb.RTF