Author | Hastings, Nancy Baxter. author |
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Title | Workshop Calculus with Graphing Calculators [electronic resource] : Guided Exploration with Review Volume 1 / by Nancy Baxter Hastings, Barbara E. Reynolds |
Imprint | New York, NY : Springer New York, 1999 |
Connect to | http://dx.doi.org/10.1007/b97356 |
Descript | XXVI, 422 p. 70 illus. online resource |
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