This study investigates the effects of implementing a remediation program in a high school Advanced Placement Calculus AB course on student class grades and success in passing the AP Calculus AB exam. A voluntary remediation program was designed to help students understand the key concepts and big ideas in beginning Calculus. Over a period of eight years the program was put into practice and data on student participation and achievement was collected. Students who participated in this program were given individualized recitation activities targeting their specific misunderstandings, and then given an opportunity to retest on chapter exams that they had taken prior to remediation. Students were able to improve their scores on the original chapter exams and their grade in the class by demonstrating a greater understanding of the material after participating in the remediation sessions. This process was repeated for all chapter exams given during the academic year. In this study, a data analysis comparing the percent gain, after remediation, in each student’s overall class grade to their AP Calculus AB exam scores was conducted. Additionally, AP Calculus AB exam scores of students enrolled in these classes were compared to AP Calculus AB exam scores globally both pre and post implementation of the remediation program. The results of this study demonstrate that there is a substantial positive correlation between student participation in the remediation program and greater success on the AP Calculus AB exam. The average AP Calculus AB score for the students enrolled in AP Calculus AB during the eight-year period of implementing the remediation program increased by over 9%.

This paper investigates methods of solving calculus problems in Putnam Mathematical Competition.Chapter 2 presents the methods of finding limits, and the most important theorems of continuity---Intermediate Value Theorem and Extreme Value Theorem. Chapter 3 introduces to the properties of derivatives, and the application problems change from the basic problems of derivative. It contains the tangent line and the rate and the meaning of derivative on the geometry.In this chapter also includes the most important theorem---Mean Value Theorem---in derivatives. Chapter 4 introduces to the properties of integral, and the application problems change from the basic problems of integral. There are the Fundamental Theorem of Calculus, Arc length, area, volume and the mass moment and centroid of physical. Chapter 5 investigates the integral techniques of the various forms of possible form for the integral function, to take the integral becomes relatively easy to calculate. In addition to the common variable transformation, also describes how to use the Leibniz Rule for solving integrating. In Chapter 6, it presents that how to determine terms of sequence and its limit, and introduces the infinite summation and to determine convergence or divergence of series.

Service oriented computing is crucial to a large and growing number of computational undertakings. Central to its approach are the open and network-accessible services provided by many different organisations, and which in turn enable the easy creation of composite workflows. This leads to an environment containing many thousands of services, in which a programmer or automated composition system must discover and select services appropriate for the task at hand. This discovery and selection process is known as matchmaking. Prior work in the field has conceived the problem as one of sufficiently describing individual services using formal, symbolic knowledge representation languages. We review the prior work, and present arguments for why it is optimistic to assume that this approach will be adequate by itself. With these issues in mind, we examine how, by reformulating the task and giving the matchmaker a record of prior service performance, we can alleviate some of the problems. Using two formalisms—the incidence calculus and the lightweight coordination calculus—along with algorithms inspired by information retrieval techniques, we evolve a series of simple matchmaking agents that learn from experience how to select those services which performed well in the past, while making minimal demands on the service users. We extend this mechanism to the overlooked case of matchmaking in workflows using multiple services, selecting groups of services known to inter-operate well. We examine the performance of such matchmakers in possible future services environments, and discuss issues in applying such techniques in large-scale deployments.

Thesis (M.S.)--University of Michigan, 1966.

Thesis (M.S.)--University of Michigan, 1966.

Orientador: Luiz Mariano Paes de Carvalho Filho / Dissertação (mestrado profissional) - Universidade Estadual de Campinas, Instituto de Matematica, Estatistica e Computação / Made available in DSpace on 2018-08-11T14:58:23Z (GMT). No. of bitstreams: 1 Jacyntho_LuizAntonio_M.pdf: 8765048 bytes, checksum: d1d39ba51eca5f10f2b9eb3fd48e367c (MD5) Previous issue date: 2008 / Resumo: Este trabalho tem como objetivos estudar algumas realizações de Arquimedes (287 a.C. - 212 a.C., Grécia) e de Isaac Barrow (1630-1677, Inglaterra), e, também, desenvolver atividades no Geogebra para auxiliar no ensino do Cálculo Diferencial e Integral. Apresentamos a construção do conjunto dos números reais, definições e teoremas atuais que antecedem, logicamente, o Teorema Fundamental do Cálculo. Tratamos de algumas das realizações de Arquimedes: a demonstração da medida da área do círculo, utilizando o Método de Eudoxo, o "método mecânico", pelo qual ele descobriu a medida da área do segmento parabólico e a demonstração rigorosa desta medida. São discutidas algumas realizações de Isaac Barrow: o método por ele utilizado para encontrar retas tangentes a uma curva, um estudo sobre o conteúdo da Conferência I e sobre algumas proposições da Conferência X. Nesta última, será dada atenção especial à Proposição 11, que demonstra casos particulares do Teorema Fundamental do Cálculo. O trabalho termina com um conjunto de atividades baseadas no programa Geogebra. Cada atividade tem a sua função numa seqüência didática e aborda os seguintes temas: a representação do conjunto dos números reais, a proposição de Arquimedes sobre a medida da área do círculo, o cálculo de áreas, a construção da função área, o cálculo de primitivas, a interpretação de Barrow para casos particulares do Teorema fundamental do Cálculo e algumas aplicações do Teorema Fundamental do Cálculo / Abstract: This work has as objectives study some realizations of Archimedes (287 BC - 212 BC, Greece) and of Isaac Barrow (1630-1677, UK), and, also, develop activities in Geogebra to aid in the teaching of Differential and Integral Calculus. We present the construction of the set of the real numbers, definitions and actual theorems that precede, logically, the Fundamental Theorem of Calculus. We deal with some of Archimedes' realizations: the demonstration of the measure of the circle's area, using the Eudoxus' Method, the "mechanical method", by which he discovered the measure of the area of the parabolic segment and the rigorous demonstration of it. There are discussed some realizations of Isaac Barrow: the method used by him to find tangent straights to a curve, a study about the content of the Lecture I and about some prepositions of the Lecture X. In this last one, main attention will be given to Proposition 11, which demonstrates particular cases of the Fundamental Theorem of Calculus. The word ends with a group of activities based in the Geogebra. Each activity has its function in a didactic sequence and they are about the following themes: the representation of the set of the real numbers, the proposition of Archimedes about the measure of the area of the circle, the calculation of areas, the construction of the area function, the calculation of primitives, the interpretation of Barrow to particular cases of the Fundamental Theorem of Calculus and some applications of the Fundamental Theorem of Calculus / Mestrado / Geometria / Mestre em Matemática

A implementação das regras de negócio em sistemas de informação não é uma atividade trivial. Isso acontece porque os modelos utilizados para representá-las não determinam como elas podem ser efetivamente implementadas em situações reais. Neste trabalho é proposta um método para a transformação das regras de negócio descritas em SBVR para um modelo de implementação. Essa tradução é feita mapeando todos os elementos relevantes do modelo em SBVR em um modelo em $\\pi$-calculus baseado em eventos. Neste modelo, existe uma representação explícita de todos os eventos que precisam ser monitorados a fim de identificar quando a regra pode ter sido violada. O objetivo é facilitar o gerenciamento das regras de negócio ao permitir que elas permaneçam separadas dos outros elementos da arquitetura e com isso possam ser gerenciadas de forma independente. / The implementation of business rules in an information system is not an easy task. This happens because most of the models used to represent them capture only the meaning of the rules and do not provide means to make them to be effectively implemented. In this work we provide an approach for the translation from a SBVR semantic description of business rules into a implementation model. This was done by mapping all relevant elements of the SBVR semantic representation into a $\\pi$-calculus event-driven model. On this model will be described explicitly all the events that must be monitored in order to identify when some rule may have been violated. This makes the business rule implementation easier because there is a explicit indication of the moment when make sense to do a verification in order to see if any rule was violated. Besides that, it easier the business rule management since the rules stay separate from the others elements of the system architecture and in this way can be managed independently.

Thesis (M.Sc. (Applied Mathematics)) -- University of Limpopo, 2020 / In this study,we consider two problems.The first one is the problem of computing hedging portfolios for options that may have discontinuous payoff functions.For this problem we use the Malliavin property called the Clark-Ocone formula and give some examples for diferent types of pay of functions of the options of European type.The second problem is based on the computation of price sensitivities (derivatives of the probabilistic representation of the pay off functions with respect to the underlying parameters of the model) also known as`Greeks' of discontinuous payoff functions and also give some examples.We restrict ourselves to the computation of Delta, Gamma and Vega.For this problem we make use of the properties of the Malliavin calculus like the integration by parts formula and the chain rule.We find the representations of the price sensitivities in terms of the expected value of the random variables that do not involve the actual direct differentiation of the payout function,that is, E[g(XT ) ] where g is a payoff function which depend on the stochasticdic differential equation XT at maturity time T and is the Malliavin weigh tfunction. In general, we study the regularity of the solutions of the stochastic differentia lequations in the sense of Malliavin calculus and explore its applications to Mathematical finance. / Services SETA and National Research Foundation (NRF)

Master of Science / Department of Mathematics / Andrew G. Bennett / An online mathematics placement exam was administered to new freshmen enrolled at Kansas State University for the Fall of 2009. The purpose of this exam is to help determine which students are prepared for a college Calculus I or Calculus II course. Problems on the exam were analyzed and grouped together using different techniques including expert analysis and item response theory to determine which problems were similar or even relevant to placement. Student scores on the exam were compared to their performance on the final exam at the end of the course as well as ACT data. This showed how well the placement exam indicated which students were prepared. A model was created using ACT information and the new information from the placement exam that improved prediction of success in a college calculus course. The new model offers a significant improvement upon what the ACT data provides to advisers. Suggestions for improvements to the test and methodology are made based upon the analysis.

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