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Description:

Thomas Calculus Media Upgrade, Eleventh Edition,responds to the needs of todays readers by developing their conceptual understanding while strengthening their skills in algebra and trigonometry,two areas of knowledge vital to the mastery of calculus. This book offers a full range of exercises, a precise and conceptual presentation, and a new media package designed specifically to meet the needs of todays readers. The exercises gradually increase in difficulty, helping readers learn to generalize and apply the concepts. The refined table of contents introduces the exponential, logarithmic, and trigonometric functions in Chapter 7 of the text.KEY TOPICS: Limits and Derivatives, Differentiation, Applications of Derivatives, Integration, Applications of Definite Integrals, Transcendental Functions, Techniques of Integration, Further Applications of Integration, Conic Sections and Polar Coordinates, Infinite Sequences and Series, Vectors and the Geometry of Space, Vector-Valued Functions and Motion in Space, Partial Derivatives, Multiple Integrals, Integration in Vector Fields.MARKET: For all readers interested in Calculus.

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Book details

List price: $277.20 Edition: 11th Copyright year: 2008 Publisher: Addison Wesley Publication date: 1/5/2007 Binding: Hardcover Pages: 1228 Size: 9.00" wide x 10.00" long x 2.00" tall Weight: 6.094 Language: English

AuthorTable of Contents

Peter Phillips is the director of Project Censored & an associate professor of sociology at Sonoma State University. Phillips writes op-ed pieces in the alternative press & independent newspapers nationwide. He frequently speaks on media censorship & various sociopolitical issues on radio & TV talk shows, including "Talk of the Nation", "Public Interest", "Talk America", "Democracy Now!", & the "Jim Hightower Show".

(Practice Exercises, Additional Exercises, and Questions to Guide Your Review appear at the end of each chapter.)?

Preliminaries

Real Numbers and the Real Line

Lines, Circles, and Parabolas

Functions and Their Graphs

Identifying Functions; Mathematical Models

Combining Functions; Shifting and Scaling Graphs

Trigonometric Functions

Graphing with Calculators and Computers

Limits and Derivative?

Rates of Change and Limits

Calculating Limits Using the Limit Laws

Precise Definition of a Limit

One-Sided Limits and Limits at Infinity

Infinite Limits and Vertical Asymptotes

Continuity

Tangents and Derivatives

Differentiatio?

The Derivative as a Function

Differentiation Rules

The Derivative as a Rate of Change

Derivatives of Trigonometric Functions

The Chain Rule and Parametric Equations

Implicit Differentiation

Related Rates

Linearization and Differentials

Applications of Derivative?

Extreme Values of Functions

The Mean Value Theorem

Monotonic Functions and the First Derivative Test

Concavity and Curve Sketching

Applied Optimization Problems

Indeterminate Forms and L'Hopital's Rule

Newton's Method

Antiderivatives

Integratio?

Estimating with Finite Sums

Sigma Notation and Limits of Finite Sums

The Definite Integral

The Fundamental Theorem of Calculus

Indefinite Integrals and the Substitution Rule

Substitution and Area Between Curves

Applications of Definite Integral?

Volumes by Slicing and Rotation About an Axis

Volumes by Cylindrical Shells

Lengths of Plane Curves

Moments and Centers of Mass

Areas of Surfaces of Revolution and The Theorems of Pappus Work

Fluid Pressures and Forces

Transcendental Function?

Inverse Functions and their Derivatives

Natural Logarithms

The Exponential Function

ax and loga x

Exponential Growth and Decay

Relative Rates of Growth

Inverse Trigonometric Functions

Hyperbolic Functions

Techniques of Integratio?

Basic Integration Formulas

Integration by Parts

Integration of Rational Functions by Partial Fractions

Trigonometric Integrals

Trigonometric Substitutions

Integral Tables and Computer Algebra Systems

Numerical Integration

Improper Integrals

Further Applications of Integratio?

Slope Fields and Separable Differential Equations

First-Order Linear Differential Equations

Euler's Method

Graphical Solutions of Autonomous Equations

Applications of First-Order Differential Equations

Conic Sections and Polar Coordinate?

Conic Sections and Quadratic Equation?

Classifying Conic Sections by Eccentricity

Quadratic Equations and Rotations

Conics and Parametric Equations; The Cycloid

Polar Coordinate?

Graphing in Polar Coordinates

Area and Lengths in Polar Coordinates

Conic Sections in Polar Coordinates

Infinite Sequences and Serie?

Sequences

Infinite Series

The Integral Test

Compari

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