Mathematics

George Thomas' clear precise calculus text with superior applications defined the modern-day calculus course. This proven text gives students the solid base of material they will need to succeed in math, science, and engineering programs.

• Built for the traditional calculus sequence –Excellent exercises, sound mathematics, and a variety of applications.
• Grapher explorations –Designed for use with any graphing calculator. Suitable for in-class and group work.
• Includes examples and discussions that encourage students to think visually and numerically.
• Computer Algebra System (CAS) –Explorations and projects that require a CAS have been included.
• Illustrates applications of calculus with real data based on real situations.

(NOTE: Every chapter ends with Questions to Guide Your Review, Practice Exercises, and Additional Exercises.)

P. Preliminaries.

Real Numbers and the Real Line.

Coordinates, Lines, and Increments.

Functions.

Shifting Graphs.

Trigonometric Functions.

1. Limits and Continuity.

Rates of Change and Limits.

Rules for Finding Limits.

Target Values and Formal Definitions of Limits.

Extensions of the Limit Concept.

Continuity.

Tangent Lines.

2. Derivatives.

The Derivative of a Function.

Differentiation Rules.

Rates of Change.

Derivatives of Trigonometric Functions.

The Chain Rule.

Implicit Differentiation and Rational Exponents.

Related Rates of Change.

3. Applications of Derivatives.

Extreme Values of Functions.

The Mean Value Theorem.

The First Derivative Test for Local Extreme Values.

Graphing with y<F128>é and y<F128>°.

Limits as x æ à, Asymptotes, and Dominant Terms.

Optimization. Linearization and Differentials.

Newton's Method.

4. Integration.

Indefinite Integrals.

Differential Equations, Initial Value Problems, and Mathematical Modeling.

Integration by Substitution—Running the Chain Rule Backward.

Estimating with Finite Sums.

Riemann Sums and Definite Integrals.

Properties, Area, and the Mean Value Theorem.

Substitution in Definite Integrals.

Numerical Integration.

5. Applications of Integrals.

Areas Between Curves.

Finding Volumes by Slicing.

Volumes of Solids of Revolution—Disks and Washers.

Cylindrical Shells. Lengths of Plan Curves.

Areas of Surfaces of Revolution.

Moments and Centers of Mass.

Work.

Fluid Pressures and Forces.

The Basic Pattern and Other Modeling Applications.

6. Transcendental Functions.

Inverse Functions and Their Derivatives.

Natural Logarithms.

The Exponential Function.

ax and logax.

Growth and Decay.

L'Hôpital's Rule.

Relative Rates of Growth.

Inverse Trigonomic Functions.

Derivatives of Inverse Trigonometric Functions; Integrals.

Hyperbolic Functions.

First Order Differential Equations.

Euler's Numerical Method; Slope Fields.

7. Techniques of Integration.

Basic Integration Formulas.

Integration by Parts.

Partial Fractions.

Trigonometric Substitutions.

Integral Tables and CAS.

Improper Integrals.

8. Infinite Series.

Limits of Sequences of Numbers.

Theorems for Calculating Limits of Sequences.

Infinite Series.

The Integral Test for Series of Nonnegative Terms.

Comparison Tests for Series of Nonnegative Terms.

The Ratio and Root Tests for Series of Nonnegative Terms.

Alternating Series, Absolute and Conditional Convergence.

Power Series.

Taylor and Maclaurin Series.

Convergence of Taylor Series; Error Estimates.

Applications of Power Series.

9. Conic Sections, Parametrized Curves, and Polar Coordinates.

Conic Sections and Quadratic Equations.

Classifying Conic Sections by Eccentricity.

Quadratic Equations and Rotations.

Parametrizations of Plan Curves.

Calculus with Parametrized Curves.

Polar Coordinates.

Graphing in Polar Coordinates.

Polar Equations for Conic Sections.

Integration in Polar Coordinates.

10. Vectors and Analytic Geometry in Space.

Vectors in the Plane.

Cartesian (Rectangular) Coordinates and Vectors in Space.

Dot Products.

Cross Products.

Lines and Planes in Space.

Cylinders and Quadric Surfaces.

Cylindrical and Spherical Coordinates.

11. Vector-Valued Functions and Motion in Space.

Vector-Valued Functions and Space Curves.

Modeling Projectile Motion.

Arc Length and the Unit Tangent Vector T.

Curvature, Torison, and the TNB Frame.

Planetary Motion and Satellites.

12. Multivariable Functions and Partial Derivatives.

Functions of Several Variables.

Limits and Continuity.

Partial Derivatives.

Differentiability, Linearization, and Differentials.

The Chain Rule.

Partial Derivatives with Constrained Variables.

Directional Derivatives, Gradient Vectors, and Tangent Planes.

Extreme Values and Saddle Points.

Lagrange Multipliers.

Taylor's Formula.

13. Multiple Integrals.

Double Integrals.

Areas, Moments, and Centers of Mass.

Double Integrals in Polar Form.

Triple Integrals in Rectangular Coordinates.

Masses and Moments in Three Dimensions.

Triple Integrals in Cylindrical and Spherical Coordinates.

Substitutions in Multiple Integrals.

14. Integration in Vector Fields.

Line Integrals.

Vector Fields, Work, Circulation, and Flux.

Path Independence, Potential Functions, and Conservative Fields.

Green's Theorem in the Plane.

Surface Area and Surface Integrals.

Parametrized Surfaces.

Stokes's Theorem.

The Divergence Theorem and a Unified Theory.

Appendices.

Mathematical Induction.

Proofs of Limit Theorems in Section 1.2.

Complex Numbers.

Simpson's One-Third Rule.

Cauchy's Mean Value Theorem and the Stronger Form of L'Hôpital's Rule.

Limits that Arise Frequently.

The Distributive Law for Vector Cross Products.

Determinants and Cramer's Rule.

Euler's Theorem and the Increment Theorem.

 

Calculus  (Mathematics)

Stand-alone Access Code Tutor Center
Addison-Wesley
©2008 | Addison-Wesley | Access Code Card | Instock
ISBN-10: 0201721708 | ISBN-13: 9780201721706
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Instructor's Answer Book, 9/E
Thomas
©1996 | Addison-Wesley | Paper | Instock
ISBN-10: 0201531836 | ISBN-13: 9780201531831

Instructor's Solution Manual Part 1, 9/E
Thomas
©1996 | Addison-Wesley | Paper | Instock
ISBN-10: 0201531771 | ISBN-13: 9780201531770

Instructor's Solution Manual Part 2, 9/E
Thomas
©1996 | Addison-Wesley | Paper | Out of Stock
ISBN-10: 020153178X | ISBN-13: 9780201531787
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Just-In-Time Algebra and Trigonometry for Students of Calculus, 3/E
Mueller & Brent
©2005 | Addison-Wesley | Paper; 224 pp | Instock
ISBN-10: 0321269438 | ISBN-13: 9780321269430
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Stand-alone Access Code Tutor Center
Addison-Wesley
©2008 | Addison-Wesley | Access Code Card | Instock
ISBN-10: 0201721708 | ISBN-13: 9780201721706
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Student's Solutions Manual Part 1, 9/E
Thomas
©1996 | Addison-Wesley | Paper | Instock
ISBN-10: 0201531798 | ISBN-13: 9780201531794
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Student's Solutions Manual Part 2, 9/E
Thomas
©1996 | Addison-Wesley | Paper | Instock
ISBN-10: 0201531801 | ISBN-13: 9780201531800
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Student's Study Guide Part 1, 9/E
Thomas
©1996 | Addison-Wesley | Paper; 250 pp | Instock
ISBN-10: 020153181X | ISBN-13: 9780201531817
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Student's Study Guide Part 2, 9/E
Thomas
©1996 | Addison-Wesley | Paper | Instock
ISBN-10: 0201531828 | ISBN-13: 9780201531824
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Addison-Wesley's Algebra Review
Addison-Wesley
©2004 | Addison-Wesley | Paper | Out of Stock
ISBN-10: 0321247086 | ISBN-13: 9780321247087

Addison-Wesley's Basic Math Review
Addison-Wesley
©2004 | Addison-Wesley | Paper | Instock
ISBN-10: 0321247078 | ISBN-13: 9780321247070

Algebra Review Study Card, 2/E
D'Ippolito & Generazzo
©2006 | Addison-Wesley | Study Card; 6 pp | Instock
ISBN-10: 0321394739 | ISBN-13: 9780321394736
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Allied Health Study Card, 2/E
Forshier
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ISBN-10: 0321394747 | ISBN-13: 9780321394743
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Basic Math Review Card, 2/E
Addison-Wesley
©2006 | Addison-Wesley | Study Card; 6 pp | Instock
ISBN-10: 0321394763 | ISBN-13: 9780321394767
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Concept Videos: Algebra
Addison-Wesley
©2008 | Addison-Wesley | Multiple Media Package | Instock
ISBN-10: 0321517199 | ISBN-13: 9780321517197

Concept Videos: Basic Math & Prealgebra
Addison-Wesley
©2008 | Addison-Wesley | Multiple Media Package | Instock
ISBN-10: 032151758X | ISBN-13: 9780321517586

Discovering Algebra: Examples with Keystrokes on the TI-83/TI-82 and TI-85/TI-86, A Laboratory Approach
Pirich & Bigliani
©1997 | Addison-Wesley | Paper; 195 pp | Instock
ISBN-10: 0136492037 | ISBN-13: 9780136492030
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Finite Mathematics Study Card
Addison-Wesley
©2006 | Addison-Wesley | Study Card | Instock
ISBN-10: 0321374398 | ISBN-13: 9780321374394
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Flash Review Series: Algebra
Becker
©2004 | Addison-Wesley | Paper | Instock
ISBN-10: 0321143094 | ISBN-13: 9780321143099
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Graphing Calculator Reference Card, 3/E
Ripley
©2006 | Addison-Wesley | Study Card; 6 pp | Instock
ISBN-10: 0321394755 | ISBN-13: 9780321394750
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Graphing Calculator Tutorial CD
Addison-Wesley
©2006 | Addison-Wesley | CD-ROM Only | Instock
ISBN-10: 0321357744 | ISBN-13: 9780321357748
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Interwrite Personal Response System
EduCue, Addison-Wesley & Benjamin Cummings
©2004 | Addison-Wesley | Electronic Supplement | Instock
ISBN-10: 0321267354 | ISBN-13: 9780321267351

Math for Allied Health Study/Reference Card
Forshier
©2006 | Addison-Wesley | Study Card; 0 pp | Out of Stock
ISBN-10: 0321336542 | ISBN-13: 9780321336545

Mathematics Spanish Glossary, 2/E
Lara & Peeples
©2000 | Addison-Wesley | Paper; 48 pp | Instock
ISBN-10: 0201728966 | ISBN-13: 9780201728965
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Overcoming Math Anxiety, 2/E
Davidson & Levitov
©2000 | Addison-Wesley | Paper | Instock
ISBN-10: 0321069188 | ISBN-13: 9780321069184
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Pearson TI Rebate Coupon $15, 2/E
Pearson
©2009 | Addison-Wesley | Paper | Instock
ISBN-10: 0321566041 | ISBN-13: 9780321566041

Prealgebra Review Workbook
Wheel
©2006 | Addison-Wesley | Paper; 300 pp | Instock
ISBN-10: 0321473329 | ISBN-13: 9780321473325
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Review of Algebra, A
Howard
©2002 | Addison-Wesley | Paper; 224 pp | Instock
ISBN-10: 0201773473 | ISBN-13: 9780201773477
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Saleable Technology Bundle, 2/E
Pearson
©2009 | Addison-Wesley | Multiple Media Package | Estimated Availability : 09/01/2008
ISBN-10: 0321561880 | ISBN-13: 9780321561886

Spanish Basic Math Study Card
Leonarte
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ISBN-10: 0321438582 | ISBN-13: 9780321438584
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Stand-alone Access Code Tutor Center
Addison-Wesley
©2008 | Addison-Wesley | Access Code Card | Instock
ISBN-10: 0201721708 | ISBN-13: 9780201721706
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For Calculus

Insight Into Calculus: Using Texas Instruments Graphics Calculators
Ward & Wilberscheid
©1997 | Addison-Wesley | Paper; 304 pp | Instock
ISBN-10: 0132553651 | ISBN-13: 9780132553650

Maple Approach Calculus, A, 2/E
Gresser
©2002 | Addison-Wesley | Paper; 340 pp | Instock
ISBN-10: 0130920142 | ISBN-13: 9780130920140

Stand-alone Access Code Tutor Center
Addison-Wesley
©2008 | Addison-Wesley | Access Code Card | Instock
ISBN-10: 0201721708 | ISBN-13: 9780201721706
URL:  http://www.aw-bc.com/tutorcenter
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