Workshop Calculus with Graphing Calculators
Autor Nancy Baxter Hastings, Barbara E Reynoldsen Limba Engleză Paperback – 24 iun 1999
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Specificații
ISBN-13: 9780387986364
ISBN-10: 0387986367
Pagini: 422
Ilustrații: XXVI, 422 p. 70 illus.
Dimensiuni: 226 x 279 x 23 mm
Greutate: 1.08 kg
Ediția:1999 edition
Editura: Springer
Locul publicării:New York, NY, United States
ISBN-10: 0387986367
Pagini: 422
Ilustrații: XXVI, 422 p. 70 illus.
Dimensiuni: 226 x 279 x 23 mm
Greutate: 1.08 kg
Ediția:1999 edition
Editura: Springer
Locul publicării:New York, NY, United States
Public țintă
Lower undergraduateCuprins
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.