附註:Includes index.
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 Derivat
摘要:This project is based on the use of graphing calculators by students enrolled in calculus. There is enough material in the book to cover precalculus review, as well as first year single variable calculus topics. Intended for use in workshop-centered calculus courses. Developed as part of the well-known NSF-sponsored project, Workshop Mathematics, the text is intended for use with students in a math laboratory, instead of a traditional lecture course. There are student-oriented activities, experiments and graphing calculator exercises found throughout the text. The authors are well-known teachers and innovative thinkers about ways to improve undergraduate mathematics teaching.
