Calculus & Its Applications, Books a la Carte Edition / Edition 12 by Larry J. Goldstein, David I. Schneider, David C. Lay, Nakhle H. Asmar | | 9780321655943 | Other Format | Barnes & Noble
Calculus & Its Applications, Books a la Carte Edition / Edition 12

Calculus & Its Applications, Books a la Carte Edition / Edition 12

by Larry J. Goldstein, David I. Schneider, David C. Lay, Nakhle H. Asmar
     
 

ISBN-10: 032165594X

ISBN-13: 9780321655943

Pub. Date: 08/04/2009

Publisher: Pearson

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KEY BENFIT: Goldstein’s Calculus and Its Applications, Twelfth Edition is a comprehensive print and online program for readers interested in business, economics, life science, or social sciences. Without sacrificing mathematical integrity, the book clearly presents the concepts with a large quantity of exceptional, in-depth

Overview

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KEY BENFIT: Goldstein’s Calculus and Its Applications, Twelfth Edition is a comprehensive print and online program for readers interested in business, economics, life science, or social sciences. Without sacrificing mathematical integrity, the book clearly presents the concepts with a large quantity of exceptional, in-depth exercises. The authors' proven formula–pairing substantial amounts of graphical analysis and informal geometric proofs with an abundance of exercises–has proven to be tremendously successful with both students and instructors. The textbook is supported by a wide array of supplements as well as MyMathLab® and MathXL®, the most widely adopted and acclaimed online homework and assessment system on the market.

Functions; The Derivative; Applications of the Derivative; Techniques of Differentiation; Logarithm Functions; Applications of the Exponential and Natural Logarithm Functions; The Definite Integral; Functions of Several Variables; The Trigonometric Functions; Techniques of Integration; Differential Equations; Taylor Polynomials and Infinite Series; Probability and Calculus

For all readers interested in applied calculus.

Product Details

ISBN-13:
9780321655943
Publisher:
Pearson
Publication date:
08/04/2009
Series:
Books a la Carte Series
Product dimensions:
7.80(w) x 9.90(h) x 0.80(d)

Related Subjects

Table of Contents

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0. Functions

0.1 Functions and Their Graphs

0.2 Some Important Functions

0.3 The Algebra of Functions

0.4 Zeros of Functions-The Quadratic Formula and Factoring

0.5 Exponents and Power Functions

0.6 Functions and Graphs in Applications

1. The Derivative

1.1 The Slope of a Straight Line

1.2 The Slope of a Curve at a Point

1.3 The Derivative

1.4 Limits and the Derivative

1.5 Differentiability and Continuity

1.6 Some Rules for Differentiation

1.7 More About Derivatives

1.8 The Derivative as a Rate of Change

2. Applications of the Derivative

2.1 Describing Graphs of Functions

2.2 The First and Second Derivative Rules

2.3 The First and Second Derivative Tests and Curve Sketching

2.4 Curve Sketching (Conclusion)

2.5 Optimization Problems

2.6 Further Optimization Problems

2.7 Applications of Derivatives to Business and Economics

3. Techniques of Differentiation

3.1 The Product and Quotient Rules

3.2 The Chain Rule and the General Power Rule

3.3 Implicit Differentiation and Related Rates

4. Logarithm Functions

4.1 Exponential Functions

4.2 The Exponential Function ex

4.3 Differentiation of Exponential Functions

4.4 The Natural Logarithm Function

4.5 The Derivative of ln x

4.6 Properties of the Natural Logarithm Function

5. Applications of the Exponential and Natural Logarithm Functions

5.1 Exponential Growth and Decay

5.2 Compound Interest

5.3 Applications of the Natural Logarithm Function to Economics

5.4 Further Exponential Models

6. The Definite Integral

6.1 Antidifferentiation

6.2 Areas and Riemann Sums

6.3 Definite Integrals and the Fundamental Theorem

6.4 Areas in the xy-Plane

6.5 Applications of the Definite Integral

7. Functions of Several Variables

7.1 Examples of Functions of Several Variables

7.2 Partial Derivatives

7.3 Maxima and Minima of Functions of Several Variables

7.4 Lagrange Multipliers and Constrained Optimization

7.5 The Method of Least Squares

7.6 Double Integrals

8. The Trigonometric Functions

8.1 Radian Measure of Angles

8.2 The Sine and the Cosine

8.3 Differentiation and Integration of sin t and cos t

8.4 The Tangent and Other Trigonometric Functions

9. Techniques of Integration

9.1 Integration by Substitution

9.2 Integration by Parts

9.3 Evaluation of Definite Integrals

9.4 Approximation of Definite Integrals

9.5 Some Applications of the Integral

9.6 Improper Integrals

10. Differential Equations

10.1 Solutions of Differential Equations

10.2 Separation of Variables

10.3 First-Order Linear Differential Equations

10.4 Applications of First-Order Linear Differential Equations

10.5 Graphing Solutions of Differential Equations

10.6 Applications of Differential Equations

10.7 Numerical Solution of Differential Equations

11. Taylor Polynomials and Infinite Series

11.1 Taylor Polynomials

11.2 The Newton-Raphson Algorithm

11.3 Infinite Series

11.4 Series with Positive Terms

11.5 Taylor Series

12. Probability and Calculus

12.1 Discrete Random Variables

12.2 Continuous Random Variables

12.3 Expected Value and Variance

12.4 Exponential and Normal Random Variables

12.5 Poisson and Geometric Random Variables

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