Workshop Calculus with Graphing Calculators / Edition 1

Workshop Calculus with Graphing Calculators / Edition 1

by Nancy Baxter Hastings, Barbara E. Reynolds
     
 

ISBN-10: 0387986367

ISBN-13: 9780387986364

Pub. Date: 06/24/1999

Publisher: Springer New York

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

Overview

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.

Product Details

ISBN-13:
9780387986364
Publisher:
Springer New York
Publication date:
06/24/1999
Series:
Textbooks in Mathematical Sciences Series
Edition description:
1999
Pages:
501
Sales rank:
857,925
Product dimensions:
8.50(w) x 10.98(h) x 0.04(d)

Table of Contents

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.

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