Student Research Projects In Calculus

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Student Research Projects In Calculus

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Author : Marcus S. Cohen
language : en
Publisher: MAA Press
Release Date : 1991

Student Research Projects In Calculus written by Marcus S. Cohen and has been published by MAA Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with Mathematics categories.

Changing the way students learn calculus at New Mexico State University. In the Spring of 1988, Marcus Cohen, Edward D. Gaughan, Arthur Knoebel, Douglas S. Kurtz, and David Penegelley began work on a student project approach to calculus. For the next two years, most of their waking hours (and some of their dreams) would be devoted to writing projects for their students and discovering how to make the use of projects in calculus classes not only successful, but practical as well. A grant from the National Science Foundation made it possible for this experiment to go forward on a large scale. The enthusiasm of the original group of five faculty was contagious, and soon other members of the department were also writing and using projects in their calculus classes. At the present time, about 80% of the calculus students at New Mexico State University are doing projects in their Calculus courses. Teachers can use their methods in teaching their own calculus courses. Student Research Projects in Calculus provides teachers with over 100 projects ready to assign to students in single and multivariable calculus. The authors have designed these projects with one goal in mind: to get students to think for themselves. Each project is a multistep, take-home problem, allowing students to work both individually and in groups. The projects resemble mini-research problems. Most of them require creative thought, and all of them engage the student's analytic and intuitive faculties. the projects often build from a specific example to the general case, and weave together ideas from many parts of the calculus. Project statements are clearly stated and contain a minimum of mathematical symbols. Students must draw their own diagrams, decide for themselves what the problem is about, and what toolsfrom the calculus they will use to solve it. This approach elicits from students an amazing level of sincere questioning, energetic research, dogged persistence, and conscientious communication. Each project has accompanying notes to the instructor, reporting students' experiences. The notes contain helpful information on prerequisites, list the main topics the project explores, and suggests helpful hints. The authors have also provided several introductory chapters to help instructors use projects successfully in their classes and begin to create their own.

Calculus Mysteries And Thrillers

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Author : R. Grant Woods
language : en
Publisher: MAA
Release Date : 1998

Calculus Mysteries And Thrillers written by R. Grant Woods and has been published by MAA this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with Mathematics categories.

The author presents eleven mathematic problems and their solutions in story form for the reader. The calculus concepts on which the problems are based include; tangent and normal lines, optimization by use of criticla points, inverse trig functions, volumes of solids, surface area integrals, and modeling economic concepts using definite integrals". -- Back cover.

Writing Projects For Mathematics Courses

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Author : Annalisa Crannell
language : en
Publisher: MAA
Release Date : 2004

Writing Projects For Mathematics Courses written by Annalisa Crannell and has been published by MAA this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Mathematics categories.

A collection of writing projects aimed at undergraduate mathematics students of varying skill levels (pre-calculus through differential equations).

New Formulas For America S Workforce

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Author :
language : en
Publisher:
Release Date : 2003

New Formulas For America S Workforce written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Engineering categories.

Introduction To Real Analysis

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Author : William C. Bauldry
language : en
Publisher: John Wiley & Sons
Release Date : 2011-09-09

Introduction To Real Analysis written by William C. Bauldry and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-09-09 with Mathematics categories.

An accessible introduction to real analysis and its connectionto elementary calculus Bridging the gap between the development and history of realanalysis, Introduction to Real Analysis: An EducationalApproach presents a comprehensive introduction to real analysiswhile also offering a survey of the field. With its balance ofhistorical background, key calculus methods, and hands-onapplications, this book provides readers with a solid foundationand fundamental understanding of real analysis. The book begins with an outline of basic calculus, including aclose examination of problems illustrating links and potentialdifficulties. Next, a fluid introduction to real analysis ispresented, guiding readers through the basic topology of realnumbers, limits, integration, and a series of functions in naturalprogression. The book moves on to analysis with more rigorousinvestigations, and the topology of the line is presented alongwith a discussion of limits and continuity that includes unusualexamples in order to direct readers' thinking beyond intuitivereasoning and on to more complex understanding. The dichotomy ofpointwise and uniform convergence is then addressed and is followedby differentiation and integration. Riemann-Stieltjes integrals andthe Lebesgue measure are also introduced to broaden the presentedperspective. The book concludes with a collection of advancedtopics that are connected to elementary calculus, such as modelingwith logistic functions, numerical quadrature, Fourier series, andspecial functions. Detailed appendices outline key definitions and theorems inelementary calculus and also present additional proofs, projects,and sets in real analysis. Each chapter references historicalsources on real analysis while also providing proof-orientedexercises and examples that facilitate the development ofcomputational skills. In addition, an extensive bibliographyprovides additional resources on the topic. Introduction to Real Analysis: An Educational Approach isan ideal book for upper- undergraduate and graduate-level realanalysis courses in the areas of mathematics and education. It isalso a valuable reference for educators in the field of appliedmathematics.

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Author :
language : en
Publisher: Houghton Mifflin Harcourt
Release Date :

written by and has been published by Houghton Mifflin Harcourt this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.

See Directory Of Awards

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Author : National Science Foundation (U.S.). Directorate for Science and Engineering Education
language : en
Publisher:
Release Date : 1989

See Directory Of Awards written by National Science Foundation (U.S.). Directorate for Science and Engineering Education and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989 with Engineering categories.

Undergraduate Mathematics For The Life Sciences

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Author : Glenn Ledder
language : en
Publisher: MAA
Release Date : 2013

Undergraduate Mathematics For The Life Sciences written by Glenn Ledder and has been published by MAA this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013 with Education categories.

There is a gap between the extensive mathematics background that is beneficial to biologists and the minimal mathematics background biology students acquire in their courses. The result is an undergraduate education in biology with very little quantitative content. New mathematics courses must be devised with the needs of biology students in mind. In this volume, authors from a variety of institutions address some of the problems involved in reforming mathematics curricula for biology students. The problems are sorted into three themes: Models, Processes, and Directions. It is difficult for mathematicians to generate curriculum ideas for the training of biologists so a number of the curriculum models that have been introduced at various institutions comprise the Models section. Processes deals with taking that great course and making sure it is institutionalized in both the biology department (as a requirement) and in the mathematics department (as a course that will live on even if the creator of the course is no longer on the faculty). Directions looks to the future, with each paper laying out a case for pedagogical developments that the authors would like to see.

Mathematical Thinking And Problem Solving

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Author : Alan H. Schoenfeld
language : en
Publisher: Routledge
Release Date : 2016-05-06

Mathematical Thinking And Problem Solving written by Alan H. Schoenfeld and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-05-06 with Education categories.

In the early 1980s there was virtually no serious communication among the various groups that contribute to mathematics education -- mathematicians, mathematics educators, classroom teachers, and cognitive scientists. Members of these groups came from different traditions, had different perspectives, and rarely gathered in the same place to discuss issues of common interest. Part of the problem was that there was no common ground for the discussions -- given the disparate traditions and perspectives. As one way of addressing this problem, the Sloan Foundation funded two conferences in the mid-1980s, bringing together members of the different communities in a ground clearing effort, designed to establish a base for communication. In those conferences, interdisciplinary teams reviewed major topic areas and put together distillations of what was known about them.* A more recent conference -- upon which this volume is based -- offered a forum in which various people involved in education reform would present their work, and members of the broad communities gathered would comment on it. The focus was primarily on college mathematics, informed by developments in K-12 mathematics. The main issues of the conference were mathematical thinking and problem solving.

Advancing Educational Outcomes In Science Technology Engineering And Mathematics At Historically Black Colleges And Universities

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Author : Lamont A. Flowers
language : en
Publisher: Bloomsbury Publishing PLC
Release Date : 2016-10-12

Advancing Educational Outcomes In Science Technology Engineering And Mathematics At Historically Black Colleges And Universities written by Lamont A. Flowers and has been published by Bloomsbury Publishing PLC this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-10-12 with Education categories.

The purpose of this book is to describe critical success factors impacting students pursuing degrees in science, technology, engineering, and mathematics at historically Black colleges and universities. The information in this book is designed to enhance strategies and research to improve students’ engagement experiences, graduation rates, and career development outcomes.