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Thomas'calculus, Part Two -student Solution Manual (12TH 10 Edition)

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Synopses & Reviews

Please note that used books may not include additional media (study guides, CDs, DVDs, solutions manuals, etc.) as described in the publisher comments.

Publisher Comments:

Calculus hasn’t changed, but readers have. Today’s readers have been raised on immediacy and the desire for relevance, and they come to calculus with varied mathematical backgrounds. Thomas’ Calculus: Early Transcendentals, Twelfth Edition, helps readers successfully generalize and apply the key ideas of calculus through clear and precise explanations, clean design, thoughtfully chosen examples, and superior exercise sets. Thomas offers the right mix of basic, conceptual, and challenging exercises, along with meaningful applications. This significant revision features more examples, more mid-level exercises, more figures, improved conceptual flow, and MyMathLab®, the best in technology for learning and teaching.

 

KEY TOPICS:Functions; Limits and Derivatives; Differentiation; Applications of Derivatives; Integration; Applications of Definite Integrals; Integrals and Transcendental Functions; Techniques of Integration; First-Order Differential Equations; Infinite Sequences and Series; Parametric Equations and Polar Coordinates; Vectors and the Geometry of Space; Partial Derivatives; Multiple Integrals; Integration in Vector Fields; Second-Order Differential Equations

 MARKET: For all readers interested in Calculus.

Synopsis:

Calculus hasn’t changed, but readers have. Today’s readers have been raised on immediacy and the desire for relevance, and they come to calculus with varied mathematical backgrounds. Thomas’ Calculus: Early Transcendentals, Twelfth Edition, helps readers successfully generalize and apply the key ideas of calculus through clear and precise explanations, clean design, thoughtfully chosen examples, and superior exercise sets. Thomas offers the right mix of basic, conceptual, and challenging exercises, along with meaningful applications. This significant revision features more examples, more mid-level exercises, more figures,and improved conceptual flow.

This package consists of:

ISBN-13: 978-0-321-58876-0 / ISBN-10: 0-321-58876-2 / Thomas' Calculus Early Transcendentals, Twelfth Edition

ISBN-13: 978-0-321-26252-3 / ISBN-10: 0-321-26252-2 / MyMathLab/MyStatLab — Valuepack Access Card

ISBN-13: 978-0-321-65692-6 / ISBN-10: 0-321-65692-X / Student Solutions Manual, Single Variable, for Thomas' Calculus: Early Transcendentals (covers ch. 1-11)

ISBN-13: 978-0-321-60071-4 / ISBN-10: 0-321-60071-1 / Student Solutions Manual, Multivariable, for Thomas' Calculus and Thomas' Calculus: Early Transcendentals (cover ch. 11-16)

Synopsis:

Calculus hasn’t changed, but readers have. Today’s readers have been raised on immediacy and the desire for relevance, and they come to calculus with varied mathematical backgrounds. Thomas’ Calculus, Twelfth Edition, helps readers successfully generalize and apply the key ideas of calculus through clear and precise explanations, clean design, thoughtfully chosen examples, and superior exercise sets. Thomas offers the right mix of basic, conceptual, and challenging exercises, along with meaningful applications. This significant revision features more examples, more mid-level exercises, more figures, improved conceptual flow, and MyMathLab®, the best in technology for learning and teaching.

 

KEY TOPICS: Parametric Equations and Polar Coordinates; Vectors and the Geometry of Space; Vector-Valued Functions and Motion in Space; Partial Derivatives; Multiple Integrals; Integration in Vector Fields; Second-Order Differential Equations

 MARKET: For all readers interested in Calculus.

Table of Contents

1. Functions

1.1 Functions and Their Graphs

1.2 Combining Functions; Shifting and Scaling Graphs

1.3 Trigonometric Functions

1.4 Graphing with Calculators and Computers

1.5 Exponential Functions

1.6 Inverse Functions and Logarithms

 

2. Limits and Derivatives

2.1 Rates of Change and Tangents to Curves

2.2 Limit of a Function and Limit Laws

2.3 Precise Definition of a Limit

2.4 One-Sided Limits

2.5 Continuity

2.6 Limits Involving Infinity, Asymptotes of Graphs

 

3. Differentiation

3.1 Tangents and the Derivative at a Point

3.2 The Derivative as a Function

3.3 Rules for Polynomials, Exponentials, Products, and Quotients

3.4 The Derivative as a Rate of Change

3.5 Derivatives of Trigonometric Functions

3.6 The Chain Rule

3.7 Implicit Differentiation

3.8 Derivatives of Inverse Functions and Logarithms

3.9 Inverse Trigonometric Functions

3.10 Related Rates

3.11 Linearization and Differentials

 

4. Applications of Derivatives

4.1 Extreme Values of Functions

4.2 The Mean Value Theorem

4.3 Monotonic Functions and the First Derivative Test

4.4 Concavity and Curve Sketching

4.5 Indeterminate Forms and L'Hopital's Rule

4.6 Applied Optimization

4.7 Newton's Method

4.8 Antiderivatives

 

5. Integration

5.1 Area and Estimating with Finite Sums

5.2 Sigma Notation and Limits of Finite Sums

5.3 The Definite Integral

5.4 The Fundamental Theorem of Calculus

5.5 Indefinite Integrals and the Substitution Rule

5.6 Substitution and Area Between Curves

 

6. Applications of Definite Integrals

6.1 Volumes Using Cross-Sections

6.2 Volumes Using Cylindrical Shells

6.3 Arc Length

6.4 Areas of Surfaces of Revolution

6.5 Work and Fluid Forces

6.6 Moments and Centers of Mass

 

7. Integrals and Transcendental Functions

7.1 The Logarithm Defined as an Integral

7.2 Exponential Change and Separable Differential Equations

7.3 Hyperbolic Functions

7.4 Relative Rates of Growth

 

8. Techniques of Integration

8.1 Integration by Parts

8.2 Trigonometric Integrals

8.3 Trigonometric Substitutions

8.4 Integration of Rational Functions by Partial Fractions

8.5 Integral Tables and Computer Algebra Systems

8.6 Numerical Integration

8.7 Improper Integrals

 

9. First-Order Differential Equations

9.1 Solutions, Slope Fields, and Euler's Method

9.2 First-Order Linear Equations

9.3 Applications

9.4 Graphical Solutions of Autonomous Equations

9.5 Systems of Equations and Phase Planes

 

10. Infinite Sequences and Series

10.1 Sequences

10.2 Infinite Series

10.3 The Integral Test

10.4 Comparison Tests

10.5 The Ratio and Root Tests

10.6 Alternating Series, Absolute and Conditional Convergence

10.7 Power Series

10.8 Taylor and Maclaurin Series

10.9 Convergence of Taylor Series

10.10 The Binomial Series and Applications of Taylor Series

 

11. Parametric Equations and Polar Coordinates

11.1 Parametrizations of Plane Curves

11.2 Calculus with Parametric Curves

11.3 Polar Coordinates

11.4 Graphing in Polar Coordinates

11.5 Areas and Lengths in Polar Coordinates

11.6 Conic Sections

11.7 Conics in Polar Coordinates

 

12. Vectors and the Geometry of Space

12.1 Three-Dimensional Coordinate Systems

12.2 Vectors

12.3 The Dot Product

12.4 The Cross Product

12.5 Lines and Planes in Space

12.6 Cylinders and Quadric Surfaces

 

13. Vector-Valued Functions and Motion in Space

13.1 Curves in Space and Their Tangents

13.2 Integrals of Vector Functions; Projectile Motion

13.3 Arc Length in Space

13.4 Curvature and Normal Vectors of a Curve

13.5 Tangential and Normal Components of Acceleration

13.6 Velocity and Acceleration in Polar Coordinates

 

14. Partial Derivatives

14.1 Functions of Several Variables

14.2 Limits and Continuity in Higher Dimensions

14.3 Partial Derivatives

14.4 The Chain Rule

14.5 Directional Derivatives and Gradient Vectors

14.6 Tangent Planes and Differentials

14.7 Extreme Values and Saddle Points

14.8 Lagrange Multipliers

14.9 Taylor's Formula for Two Variables

14.10 Partial Derivatives with Constrained Variables

 

15. Multiple Integrals

15.1 Double and Iterated Integrals over Rectangles

15.2 Double Integrals over General Regions

15.3 Area by Double Integration

15.4 Double Integrals in Polar Form

15.5 Triple Integrals in Rectangular Coordinates

15.6 Moments and Centers of Mass

15.7 Triple Integrals in Cylindrical and Spherical Coordinates

15.8 Substitutions in Multiple Integrals

 

16. Integration in Vector Fields

16.1 Line Integrals

16.2 Vector Fields and Line Integrals: Work, Circulation, and Flux

16.3 Path Independence, Conservative Fields, and Potential Functions

16.4 Green's Theorem in the Plane

16.5 Surfaces and Area

16.6 Surface Integrals

16.7 Stokes' Theorem

16.8 The Divergence Theorem and a Unified Theory

 

17. Second-Order Differential Equations (online)

17.1 Second-Order Linear Equations

17.2 Nonhomogeneous Linear Equations

17.3 Applications

17.4 Euler Equations

17.5 Power-Series Solutions

 

Appendices

1. Real Numbers and the Real Line

2. Mathematical Induction

3. Lines, Circles, and Parabolas

4. Proofs of Limit Theorems

5. Commonly Occurring Limits

6. Theory of the Real Numbers

7. Complex Numbers

8. The Distributive Law for Vector Cross Products

9. The Mixed Derivative Theorem and the Increment Theorem

Product Details

ISBN:
9780321600714
Author:
Weir, Maurice D.
Publisher:
Addison Wesley Longman
Author:
Hass, Joel R.
Author:
Thomas, George B.
Author:
Ardis, William
Author:
Hass, Joel
Author:
Giordano, Frank R.
Subject:
Calculus
Subject:
General-General
Copyright:
Edition Description:
Trade paper
Series:
Thomas' Calculus 12th Edition
Publication Date:
January 2010
Binding:
TRADE PAPER
Grade Level:
College/higher education:
Language:
English
Illustrations:
Y
Pages:
216
Dimensions:
11 x 8.5 x 0.6 in 526 gr

Related Subjects


Science and Mathematics » Mathematics » Calculus » General
Textbooks » General

Thomas'calculus, Part Two -student Solution Manual (12TH 10 Edition) Used Trade Paper
0 stars - 0 reviews
$30.50 In Stock
Product details 216 pages Addison Wesley Longman - English 9780321600714 Reviews:
"Synopsis" by , Calculus hasn’t changed, but readers have. Today’s readers have been raised on immediacy and the desire for relevance, and they come to calculus with varied mathematical backgrounds. Thomas’ Calculus: Early Transcendentals, Twelfth Edition, helps readers successfully generalize and apply the key ideas of calculus through clear and precise explanations, clean design, thoughtfully chosen examples, and superior exercise sets. Thomas offers the right mix of basic, conceptual, and challenging exercises, along with meaningful applications. This significant revision features more examples, more mid-level exercises, more figures,and improved conceptual flow.

This package consists of:

ISBN-13: 978-0-321-58876-0 / ISBN-10: 0-321-58876-2 / Thomas' Calculus Early Transcendentals, Twelfth Edition

ISBN-13: 978-0-321-26252-3 / ISBN-10: 0-321-26252-2 / MyMathLab/MyStatLab — Valuepack Access Card

ISBN-13: 978-0-321-65692-6 / ISBN-10: 0-321-65692-X / Student Solutions Manual, Single Variable, for Thomas' Calculus: Early Transcendentals (covers ch. 1-11)

ISBN-13: 978-0-321-60071-4 / ISBN-10: 0-321-60071-1 / Student Solutions Manual, Multivariable, for Thomas' Calculus and Thomas' Calculus: Early Transcendentals (cover ch. 11-16)

"Synopsis" by ,

Calculus hasn’t changed, but readers have. Today’s readers have been raised on immediacy and the desire for relevance, and they come to calculus with varied mathematical backgrounds. Thomas’ Calculus, Twelfth Edition, helps readers successfully generalize and apply the key ideas of calculus through clear and precise explanations, clean design, thoughtfully chosen examples, and superior exercise sets. Thomas offers the right mix of basic, conceptual, and challenging exercises, along with meaningful applications. This significant revision features more examples, more mid-level exercises, more figures, improved conceptual flow, and MyMathLab®, the best in technology for learning and teaching.

 

KEY TOPICS: Parametric Equations and Polar Coordinates; Vectors and the Geometry of Space; Vector-Valued Functions and Motion in Space; Partial Derivatives; Multiple Integrals; Integration in Vector Fields; Second-Order Differential Equations

 MARKET: For all readers interested in Calculus.

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