Functions modeling change

A preparation for calculus, graphing calculator guide for the TI-83

Eric Connally, Deborah Hughes-Hallett, Andrew M. Gleason

136 pages, parution le 14/11/2003 (2^eme édition)

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Résumé

From the Calculus Consortium based at Harvard University, this comprehensible book prepares readers for the study of calculus, presenting families of functions as models for change. These materials stress conceptual understanding and multiple ways of representing mathematical ideas.

Contributors : Philip Cheifetz, Daniel E. Flath, Patti Frazer Lock, Karen Rhea, Carl Swenson, Frank Avenoso, Ann Davidian, Brigitte Lahme, Jerry Morris, Pat Shure, Katherine Yoshiwara, Elliot J. Marks

Before Starting
- Basic Calculations
- Editing and Recall
- Menus
Functions, Lines and Change
- Functions and Function Notation
- Rate of Change: Lists and Function Values
- Linear Functions
- Graphs and Formulas for Linear Functions
- Multiple Linear Functions
- Fitting Linear Functions to Data
Functions, Quadratics, and Concavity
- Input and Output
- Domain and Range
- Piecewise Defined Functions
- Inverses
- Concavity
- Quadratic Functions
Exponential Functions
- The Family of Exponential Functions
- Comparing Exponential and Linear Functions
- Graphs of Exponential Functions
- Continuous Growth
Logarithmic Functions
- Logarithms and Properties
- Logarithms and Exponential Models
- The Logarithmic Function
- Logarithmic Scales
Transformations of Functions
- Vertical and Horizontal Shifts
- Reflections and Symmetry
- Vertical Stretches and Compressions
- Horizontal Stretches and Compressions
- Quadratics
Trigonometric Functions
- Introduction to Periodic Functions
- The Sine and Cosine Functions
- Radians
- Graphs of the Sine and Cosine
- Sinusoidal
- Other Trigonometric Functions
- Inverse Trigonometric Functions
Trigonometry
- Laws of Sines and Cosines
- Trigonometric Identities
- Sum and Difference Formulas for Sine and Cosine
- Trigonometric Models
- Polar Coordinates
- Complex Numbers and Polar Coordinates
Composition, Inverses, and Combinations
- Composition of Functions
- Inverse Functions
- Combinations of Functions
Polynomial and Rational Functions
- Power Functions
- Polynomials
- Short-Run Behavior of Polynomials
- Rational Functions
- Short-Run Behavior of Rational Functions
- Comparing Power, Exponential and Log Functions
- Fitting Exponentials and Polynomials to Data
Vectors and Matrices
- Vectors
- Components of a Vector
- Applications of Vectors
- The Dot Product
- Matrices
Sequences and Series
- Sequences
- Arithmetic Series
- Finite Geometric Series
- Infinite Geometric Series
Parametric Equations and Conic Sections
- Parametric Equations
- Implicit Defined Curves and Circles
- Ellipse
- Hyperbola
- Hyperbolic Functions
Appendix
Index

Caractéristiques techniques

	PAPIER
Éditeur(s)	Wiley
Auteur(s)	Eric Connally, Deborah Hughes-Hallett, Andrew M. Gleason
Parution	14/11/2003
Édition	2^eme édition
Nb. de pages	136
Format	21,5 x 26,6
Couverture	Broché
Poids	380g
Intérieur	Noir et Blanc
EAN13	9780471447894
ISBN13	978-0-471-44789-4