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# Calculus & Its Applications, Books A La Carte Edition

## byLarry J. Goldstein, David Lay, David I. Schneider

### Loose Leaf | January 13, 2017

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NOTE: This edition features the same content as the traditional text in a convenient, three-hole-punched, loose-leaf version. Books a la Carte also offer a great value; this format costs significantly less than a new textbook. Before purchasing, check with your instructor or review your course syllabus to ensure that you select the correct ISBN. For Books a la Carte editions that include MyLab™ or Mastering™, several versions may exist for each title – including customized versions for individual schools – and registrations are not transferable. In addition, you may need a Course ID, provided by your instructor, to register for and use MyLab or Mastering products.

*For one- or two-semester courses in Calculus for students majoring in business, social sciences, and life sciences.*

**Intuition before Formality**

**Calculus & Its Applications** builds intuition with key concepts of calculus before the analytical material. For example, the authors explain the derivative geometrically before they present limits, and they introduce the definite integral intuitively via the notion of net change before they discuss Riemann sums. The strategic organization of topics makes it easy to adjust the level of theoretical material covered. The significant applications introduced early in the course serve to motivate students and make the mathematics more accessible. Another unique aspect of the text is its intuitive use of differential equations to model a variety of phenomena in Chapter 5, which addresses applications of exponential and logarithmic functions.

Time-tested, comprehensive exercise sets are flexible enough to align with each instructor’s needs, and new exercises and resources in MyLab™ Math help develop not only skills, but also conceptual understanding, visualization, and applications. The **14th Edition **features updated exercises, applications, and technology coverage, presenting calculus in an intuitive yet intellectually satisfying way.

**Also available with MyLab Math**

MyLab™ Math is an online homework, tutorial, and assessment program designed to work with this text to engage students and improve results. Within its structured environment, students practice what they learn, test their understanding, and pursue a personalized study plan that helps them absorb course material and understand difficult concepts. In the new edition, MyLab Math has expanded to include a suite of new videos, Interactive Figures, exercises that require step-by-step solutions, conceptual questions, calculator support, and more.

Note**:** You are purchasing a standalone product; MyLab does not come packaged with this content. Students, if interested in purchasing this title with MyLab, ask your instructor for the correct package ISBN and Course ID. Instructors, contact your Pearson representative for more information.

If you would like to purchase both the physical text and MyLab, search for:

**0134465334 / 9780134465333 **

**Calculus & Its Applications, Books a la Carte Edition plus MyLab Math with Pearson eText -- Access Card Package, 14/e**

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Package consists of:

- 0134463307 / 9780134463308 Calculus & Its Applications, Books a la Carte Edition
- 0321262522 / 9780321262523 MyLab Math - Valuepack Access Card

### Details & Specs

The following ISBNs are associated with this title:

ISBN - 10:0134463307

ISBN - 13:9780134463308

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### Extra Content

Table of Contents

**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 and Limits

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 Section 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

3.3 Implicit Differentiation and Related Rates

**4. The Exponential and Natural Logarithm Functions**

4.1 Exponential Functions

4.2 The Exponential Function e^{x}

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 The Definite Integral and Net Change of a Function

6.3 The Definite Integral and Area Under a Graph

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