Workshop calculus with graphing calculators : guided exploration with review
著者
書誌事項
Workshop calculus with graphing calculators : guided exploration with review
（Textbooks in mathematical sciences）
Springer, c1999
- v. 1 : soft
- v. 2 : soft
- タイトル別名
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The workshop mathematics project : workshop calculus with graphing calculators : guide exploration with review
大学図書館所蔵 件 / 全3件
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該当する所蔵館はありません
- すべての絞り込み条件を解除する
注記
Includes bibliographical references and index
内容説明・目次
- 巻冊次
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v. 1 : soft ISBN 9780387986364
内容説明
Based on the popular "Workshop Approach", which has been hailed by the community for its hands on approach, these new versions of the popular Workshop Calculus allow the easy incorporation of a graphing calculator. Like the originals, these volumes cover topics in calculus while simultaneously reviewing precalculus concepts. Activities, experiments, and exercises are found throughout.
目次
Functions.- Relating Position and Time.- Describing a Process for Finding the Position at a Given Time.- Using the Concept of Function to Buy Pizza.- Creating Linear Functions.- Examining Piecewise-Linear Functions.- Developing an Intuitive Understanding of a Tangent Line to a Curve.- Investigating the Behavior of the Tangent Line near a Turning Point.- Contemplating Concavity.- Interpreting Sign Charts.- Function Construction.- Becoming Familiar with Your Calculator.- Implementing Functions Using Expressions.- Representing Functions by Graphs.- Constructing Discrete Functions.- Evaluating Combinations of Functions.- Combining Functions.- Composing Functions.- Sketching Reflections.- Representing Reflections by Expression.- Investigating Inverse Functions.- Function Classes.- Examining Polynomial Functions.- Analyzing Rational Functions.- Using Your Calculator to Investigate the Behavior of Polynomial and Rational Functions.- Measuring Angles.- Graphing Basic Trigonometric Functions.- Stretching and Shrinking the Sine Function.- Shifting the Sine Function.- Modeling Situations Using Exponential Functions.- Comparing Exponential Functions.- Investigating the Relationship Between Exponential and Logarithmic Functions.- Evaluating and Graphing Log Functions.- Modeling Data.- Limits.- Constructing Sequences of Numbers.- Analyzing the Limiting Behavior of Functions.- Approximating Limits Using a Graphing Calculator.- Examining Situations Where the Limit Does Not Exist.- Inspecting Points of Discontinuity.- Identifying Continuous Functions.- Calculating Limits Using Substitution.- Using Limits to Investigate Functions.- Using Limits to Locate Horizontal Asymptotes.- Derivatives and Integrals: First Pass.- Examining an Example.- Discovering a Definition for the Derivative.- Representing a Derivative by an Expression.- Inspecting the Domain of a Derivative.- Investigating the Relationship Between a Function and Its Derivative.- Gleaning Information About the Graph of a Function from Its Derivative.- Finding Some Areas.- Describing Some Possible Approaches.- Applying a Rectangular Approach.- Considering the General Situation.- Calculating Riemann Sums.- Interpreting Definite Integrals.- Checking the Connection Between Derivatives and Definite Integrals.
- 巻冊次
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v. 2 : soft ISBN 9780387986753
内容説明
Based on the use of graphing calculators by students enrolled in calculus, there is enough material here to cover precalculus review, as well as first-year single variable calculus topics. Intended for use in workshop-centered calculus courses, and developed as part of the well-known NSF-sponsored project, the text is for use with students in a math laboratory, instead of a traditional lecture course. There are student-oriented activities, experiments and graphing calculator exercises throughout the text. The authors themselves are well-known teachers and constantly striving to improve undergraduate mathematics teaching.
目次
Unit 5:Dericatives and Dntegrals: First Pass.- Unit 6:Derivatives: The Calculus Approach.- Unit 7: Definite Dntegrals: The Calculus Approach.- Unit 8: Merhodo of Dntegration215.- Unit 9: Using Differentiation and Dntegration.
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