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Papers On Mathematics
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Aristotle / Contributions To Mathematics Analyzed
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This 5 page research paper discusses Aristotle's contributions to the field of mathematics. Specifically discussed are Aristotle's views on mathematics, in terms of the advancement of science, and his logical approach to mathematical study through syllogisms. Bibliography lists 7 sources.
Filename: Arimath.wps

Cryptography & The Issue Of Internet Security
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A 5 page overview of the importance of Internet users being able to depend on the safety and security of the information they both transmit and receive. Discusses cryptography as a workable solution to the problem of Internet security and contrasts it to the less effective TCP/IP. Bibliography lists 4 sources.
Filename: Crysc.wps

Cryptology, Cryptography and Electronic Security
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A 10 page research paper describing cryptology. Simply put, cryptology is a part of the larger classification of number theory, and provides the mathematical foundation upon which the science of cryptography is built. Cryptography is high-level encryption science used primarily to ensure privacy in our increasingly electronic age. Electronic messages, personal data, governmental security issues and secret industrial work are all appropriate candidates for encrypting, and all routinely are in some form or another when based in electronic media. Bibliography lists 7 sources.
Filename: Crypto.wps

History Of The Abacus / From West To East & Beyond
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A 15 page paper that provides an overview of the history and development of the abacus. The report essentially compares the Chinese, Roman, Greek, Russian and Indian counting methods utilizing similar instruments. Bibliography lists 6 sources.
Filename: Abacus.doc

Math Education / Alternative Assessment
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A 7 page paper that discusses the concept of alternative assessment of mathematics. The concept of alternative assessment is the result of concern about what traditional paper and pencil tests really assess. Several alternative assessment techniques are explained, including examples from teachers about what types of assessments they are using in their elementary or secondary classrooms. Bibliography lists 5 sources.
Filename: PGaltasses.wps

“A History of Mathematics: From Mesopotamia to Modernity”
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A 3 page overview of the book by Richard Hodgkin. This paper emphasizes Hodgkin’s message that mathematics have been a critical element in much of world development. No additional sources are listed.
Filename: PPmathHist.rtf

“Statistical Question Using Spearman’s Coefficient of Rank Correlation”
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A four page paper which looks at methods of statistical analysis in terms of parametric and non-parametric tests and demonstrates analysis of a statistical question using Spearman’s Coefficient of Rank Correlation. Bibliography lists 3 sources.
Filename: JLspearmans.wps

“Summary and Commentary on Article on the Constructivist Model of Maths Teaching”
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A six page paper which summarises Constructivistic Math Instruction for Diverse Learners, by Mercer, Jordan and Miller (1996) and gives a commentary on the educational strategies described in the article. Bibliography lists 1 source.
Filename: JLmathsconstruct.wps

“The Story of Mathematics”
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A 3 page review of the book by Richard Mankiewicz. This paper outlines the author’s journey through this fascinating discipline from ancient times to the present. No additional sources are listed.
Filename: PPmathStory.rtf

A REVIEW OF MATHEMATICS TEXT
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This 4-page paper provides a review of two mathematics text books: Basic Concepts of Mathematics" by Zakon and "Introduction to Number Theory and Algebra" by Shoup. Bibliography lists 2 sources.
Filename: MTmathre.rtf

Abel's Proof
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A 3 page overview of the book Abel's Proof: An Essay on the Sources and Meaning of Mathematical Unsolvability by Pesic. Bibliography lists 1 source.
Filename: PGabel.rtf

ADMINISTRATION ISSUES AND NYU DOWNTOWN HOSPITAL
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This paper examines administrative issues and concerns that have impact and that might impact the NYU Downtown Hospital in lower Manhattan. Issues under consideration in this paper include leadership styles, conflict resolutions, employee motivation, internal communication and decision-making. Bibliography lists 14 sources.
Filename: MTNYUhos.rtf

Airline Case Study; Correlation between Age and Maintenance Costs
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This 4 page statistical analysis paper is based on a case study supplied by the student. The paper provides figures for two airlines for the cost of their aircraft maintenance and the average age of their fleets over a number of years. The paper considers why a comparison of the airline cost profiles could be important if the airlines merge and assesses the correlation between age and maintenance costs and looks for similarities of differences between the age and cost pattern of each airline. The bibliography cites 3 sources.
Filename: TEageair.rtf

Al-Khwarizmi ; A Forgotten Mathematician
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This 5 page paper considers the background and contributions of Abu Abdullah Muhammad Ibn Musa al-Khwarizmi, better known in the west as the founder of algorithms. The paper looks at the wide range of contributions made by this Muslim genius from the ninth century CE and the way they have been key to later mathematical and scientific developments of later years. The bibliography cites 3 sources.
Filename: TEmatmat.wps

Albert Einstein's Contributions To Mathematics
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A 5 page paper that reports Einstein's first three papers that led to a new perception of the universe, from evidence for the existence of molecules and atoms to his general theory of relativity that led to a new understanding of the universe, including space, time, motion and gravity. Bibliography lists 4 sources.
Filename: PGeins.rtf

Algebra in Everyday Life
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This 3 page paper demonstrate how there is algebra in everyday life. The paper uses the example of baking a cake and shows how an algebraic equation can be used to explain the process and the make up of the cake. This is explained in easy to understand terms.
Filename: TEalgcake.rtf

Algorithm Basics
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A 10 page research paper exploring the basics of algorithms and data structures in relationship to queues, data types, trees, hashing, heaps, graphing and design. Bibliography lists 11 sources.
Filename: Algbas.wps

AN ANALYSIS OF BUSINESS MATHEMATICS PRINCIPLES
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This 10-page paper focuses on various business mathematical principles including linear programming, network flow models, queuing analysis, simulation and inventory management. The paper also provides examples of how companies have used these tools to better manage inventory and predict customer demand. Bibliography lists 4 sources.
Filename: MTbusmat.rtf

An Overview of Probability
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This 4 page paper looks at probability and how it is used in society. Gambling, the insurance industry and politics are areas referenced. Bibliography lists 4 sources.
Filename: SA313prb.rtf

Analysing Data with SPSS
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This 14 page paper shows how raw, or primary, data can be analysed. The paper uses the correlation between religion and life after death as an example, with primary data collected from 60 respondents. The paper shows how to use a statistical package to analyse data, looks at exploring data using the mean and median with a 95% confidence level. Data is tested with a chi squared test and a full hypothesis test is demonstrated. The bibliography cites 6 sources.
Filename: TEspssreligion.rtf

Analysing driving test data - methodology
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A paper which looks at ways in which quantitative data relating to comparative success rates of driving school instructors and test centres can be analysed, with some recommendations as to how qualitative data might be used to supplement this.
Filename: JLtest.rtf

Analysis of Article Containing Statistical Information
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This 5 page paper provides an evaluation of an article continuing statistics. The purpose of the review is to question the validity of statistics and how easily statistics can be erroneously interpreted. No additional sources cited.
Filename: SA247art.rtf

Annotated Bibliography: Origins of Greek Mathematics
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This 3 page paper is an annotated bibliography of 8 sources dealing with the origins of Greek mathematics.
Filename: HVABGrek.rtf

Are Fuel Prices Correlated with Elections
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This 4 page paper explores the idea that there are lower fuel or gas prices just before an election. The paper performs an hypothesis test using primary data of gasoline (petrol) process in the US in election years to try prove, or disprove, that there is a correlation. The paper shows the data and the process of performing an hypothesis test. The bibliography cites 3 sources.
Filename: TEecogas.rtf

Aristotle: His Contributions to Math
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5 pages. One of Aristotle's greatest contributions to mankind is within the field of math. Because his philosophical believes were predicated solely on logic and syllogism, and these are mathematical in nature, it is a fact that Aristotle based most of his philosophy on analysis and math. Bibliography lists 3 sources.
Filename: JGAarmth.wps

Assessing Two Sets of Data
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This 3 page paper analyses two sets of data provided by the student. Each is a data set of amounts of commission earned by sales teams. The two sets of data are analysed looking at the range, median, mode and mean with the standard deviation. The bibliography cites 2 sources.
Filename: TEsetsda.rtf

Astrology; The Contribution of Johannes Kepler
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This 4 page paper examines the reforms that were proposed by Johannes Kepler during the sixteenth century and why he made these proposals that revolutionised the practice of astrology. The bibliography cites 5 sources.
Filename: TEastrkepler.rtf

Attitudes to Mathematics: A View of Attitudes in UK Education
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This 50 page paper provides an overview of the issue of the attitudes towards mathematics in education in the United Kingdom. This paper considers the attitudes, how they are measured, and how these attitudes impact learning. Though this paper has a definitive bias for UK education, the studies integrated into the review of literature include sources that relate the general factors that influence views of mathematics in Western education in general, including issues like gender bias and curriculum development. Bibliography lists 30 sources
Filename: MHMathUK.rev.wps

Augustin-Louis Cauchy
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This 46 page paper looks at the French nineteenth century mathematician Augustin-Louis Cauchy. The paper begins with an examination of the development of calculus up until the time of Cauchy and then looks at the mathematicians background and how it may have impacted on his work. The majority of the paper looks at his work, with numerous mathematical equations and examples. The paper includes consideration on how he created rigor in calculus, and many of his theories, including work on Fermat’s theories and many other theories of his own. The bibliography cites 20 sources.
Filename: TEcauchy.rtf

Automating Asymptotes
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A 3 page paper examining factors affecting engineers' understanding of graphing functions for a new software product. The paper's premise is software, but its subject is finding x- and y-intercepts and asymptotes, then graphing the equation. The equation used is f(x) = x – 1/ x^2 – x – 12. Bibliography lists 4 sources.
Filename: KSmathAsympt.rtf

Baseball Case Study for Excel
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This 12 page paper is a set of examples of how to use excel to solve a set of questions set by the student. Date provided concerns wages of baseball players for a range of teams, each question looks at a different aspect of analysing the data, exploring ranges, means, medians and mode, probability and standard deviation. The bibliography cites 3 sources.
Filename: TEexcelbase.rtf

Benefits Of Computer-Taught Math Over Standard Textbook Practices
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A 10 page study that provides support for the hypothesis that computer taught math provides significant beneficial outcomes for learners in terms of test scores. Bibliography lists 10 sources.
Filename: Mtcomp.wps

Box Jenkins Model
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This 4 page paper considers the statement that the Box Jenkins methodology of forecasting is not an explanatory method but a simple statistical method. The bibliography cites 10 sources.
Filename: TEboxjen.rtf

BUSINESS MATHEMATICS AND OTHER INFORMATION
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This 5-page paper offers an explanation of the importance of business math and statistics. Other issues covered include calculation of insurance premiums and property taxes, as well as depreciation. Bibliography lists 5 sources.
Filename: MTbumath.rtf

Business Statistics and Probability
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A 4 page paper using a survey of 288 employees as the data used in statistical analysis of that data. Questions answered through calculation of probability include "What is the gender distribution?" and "What is the probability this person will be an hourly employee whose intrinsic satisfaction is 6 or more?" Bibliography lists 4 sources.
Filename: KSstatsProbBus2.rtf

BUSINESS STATISTICS I
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This 8-page paper answers general questions about business statistics. Topics include different types of sampling, differences between a population parameter and sample statistic and central tendency averages. Bibliography lists 7 sources.
Filename: MTbizsta.rtf

BUSINESS STATISTICS II
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This 12-page paper focuses on answers to business statistic questions. Topics include raw data and arrays, histograms versus stem and leaf displays, three measures of central tendency and frequency distribution. Bibliography lists 13 sources.
Filename: MTbizst2.rtf

Buying and Installing Carpet
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A 6 page paper describing the costs of carpeting three rooms. The paper provides total costs of using one of two installers and self-installation to find that the purchaser can save $469 of the price of the higher-priced installation estimate. Bibliography lists 4 sources.
Filename: KScarpet.rtf

Calculating Supply and Demand; A Basic Outline to Applying Supply and Demand Economics;
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This 10 page paper looks at some examples of price and supply figures and forms graphs to demonstrate to operation of supply and demand. The paper includes 3 graphs and bibliography cites 4 sources.
Filename: TEalgegg.rtf

Changing Attitudes About Death: The Twentieth Century
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A 11 page discussion of the evolution in our view of death. Notes how this view has changed over the last century from one in which we took personal responsibility for the care of our ill and aged and even in the final details of their burial to one in which we turn to professionals such as doctors, nurses, and undertakers. Suggests that this view is changing once again with the advent of a greater desire for palliative care and hospices. Provides statistics for both the United States and Canada. Bibliography lists 11 sources.
Filename: PPdeath2.wps

Chi Square Test to Asses the Relationship between Pain and Depression
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This 7 page paper shows the student how to carry out an hypothesis test using chi squared to ascertain if there is a relationship between depression and pain in reflex sympathetic dystrophy patients. The paper demonstrates the process of hypothesis testing and shows the calculation for the chi squared test. The bibliography cites 7 sources.
Filename: TEchisqu.rtf

Choosing a Research Model
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5 pages in length. This paper explains the different approaches one might take in preparing a research tool. There are literally hundreds of different methods to collect and analyze the data, but they can all be broken down into two categories. Those procedures that do nothing more than summarize large groups of numbers are referred to as descriptive statistics because they are designed to solely describe the characteristics of a large group of numbers. The second category of techniques involves what is known as inferential statistics. In using this technique, the student goes beyond a simple description of the numbers he obtains to more generalized statements. Some of the topics include unobtrusive measures, quantitative and qualitative research, secondary sources and hypothesis. Bibliography lists 7 sources.
Filename: JGArsrch.wps

Conic sections and their polar equations: 5 pages in length.
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5 pages in length. Describes the polar equations associated with conic sections and the role played by eccentricity of the conic. A conic section is the two-dimensional figure that results when a plane insects a cone at various angles. Take one of these figures and revolve it, and you have a three-dimensional surface of revolution that matches the shape of the optical component. Bibliography lists 5 sources.
Filename: JGAconcl.wps

Consumer Time: Market Time, Non-Market Time, and Leisure
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A 10 page paper which discusses how rational consumers allocate their time between market time, non-market time, and leisure time. Bibliography lists 11 sources.
Filename: RAcnsmrtime.wps

COST REGRESSION AT LINCOLN HOSPITAL
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This 5-page paper undertakes various cost analysis regression of Lincoln Community Hospital in New York to determine its financial problems. The regressions are also analyzed here.
Filename: MTlinana.rtf


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