Calculus Applications and Technology

ISBN-10: 0534464963
ISBN-13: 9780534464967
Edition: 3rd 2005 (Revised)
List price: $305.95
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Description: CALCULUS: APPLICATIONS AND TECHNOLOGY is a modern text that is guided by four basic principles: The Rule of Four, technology, the Way of Archimedes, and an exploratory teaching method. Where appropriate, each topic is presented graphically,  More...

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Book details

List price: $305.95
Edition: 3rd
Copyright year: 2005
Publisher: Brooks/Cole
Publication date: 4/27/2004
Binding: Mixed Media
Pages: 608
Size: 8.00" wide x 10.00" long x 1.50" tall
Weight: 3.542
Language: English

CALCULUS: APPLICATIONS AND TECHNOLOGY is a modern text that is guided by four basic principles: The Rule of Four, technology, the Way of Archimedes, and an exploratory teaching method. Where appropriate, each topic is presented graphically, numerically, algebraically, and verbally, helping students gain a richer, deeper understanding of the material. A pronounced emphasis in the text on technology, whether graphing calculators or computers, permits instructors to spend more time teaching concepts. Additionally, applications play a central role in the text and are woven into the development of the material. More than 500 referenced exercises and hundreds of data sets contained in the text make this text useful and practical for students. Most importantly, this text lets students investigate and explore calculus on their own, and discover concepts for themselves.

Functions
Graphers Versus Calculus
Functions
Mathematical Models
Exponential Models
Combinations of Functions
Logarithms
Modeling With Least Squares
Method of Least Squares
Quadratic Regression
Cubic, Quartic, and Power Regression
Exponential and Logarithmic Regression
Logistic Regression
Selecting the Best Model
The Derivative
Introduction to Calculus
Limits
Rates of Change
The Derivative
Local Linearity
Rules For The Derivative
Derivatives of Powers, Exponents, and Sums
Derivatives of Products and Quotients
The Chain Rule
Derivatives of Exponential and Logarithmic Functions
Elasticity of Demand
Management of Renewable Natural Resources
Curve Sketching And Optimization
The First Derivative
The Second Derivative
Limits at Infinity
Additional Curve Sketching
Absolute Extrema
Optimization and Modeling
The Logistic Model
Implicit Differentiation and Related Rates
Integration
Antiderivatives
Substitution
Distance Traveled
The Definite Integral
The Fundamental Theorem of Calculus
Area Between Two Curves
Additional Applications of the Integral
Additional Topics In Integration
Integration by Parts
Integration Using Tables
Numerical Integration
Improper Integrals
Functions Of Several Variables
Functions of Several Variables
Partial Derivatives
Extrema of Functions of Two Variables
Lagrange Multipliers
Total Differentials and Approximations
Double Integrals
Optional Cd-Rom Chapters
The Trigonometric Functions
Angles
The Sine and Cosine
Differentiation of the Sine and Cosine Functions
Integrals of the Sine and Cosine Functions
Other Trigonometric Functions
Taylor Polynomials And Infinite Series
Taylor Polynomials
Errors in Taylor Polynomial Approximation
Infinite Sequences
Infinite Series
The Integral and Comparison Tests
The Ratio Test and Absolute Convergence
Taylor Series
Probability and Calculus
Discrete Probability
Continuous Probability Density Functions
Expected Value and Variance
The Normal Distribution
Differential Equations
Differential Equations
Separation of Variables
Approximate Solutions to Differential Equations
Qualitative Analysis
Harvesting a Renewable Resource
Review
Tables.

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