Brief Calculus and Its Applications / Edition 7

Brief Calculus and Its Applications / Edition 7

by Larry Joel Goldstein
     
 

ISBN-10: 0133214230

ISBN-13: 9780133214239

Pub. Date: 09/28/1995

Publisher: Prentice Hall Professional Technical Reference

This extremely readable, highly regarded, and widely adopted text presents innovative ways for applying calculus to real-world situations in the business, economics, life science, and social science disciplines. The texts' straightforward, engaging approach fosters the growth of both the student's mathematical maturity and his/her appreciation for the

Overview

This extremely readable, highly regarded, and widely adopted text presents innovative ways for applying calculus to real-world situations in the business, economics, life science, and social science disciplines. The texts' straightforward, engaging approach fosters the growth of both the student's mathematical maturity and his/her appreciation for the usefulness of mathematics. The authors' tried and true formula — pairing substantial amounts of graphical analysis and informal geometric proofs with an abundance of hands-on exercises — has proven to be tremendously successful with both students and instructors.

Functions; The Derivative; Applications of the Derivative; Techniques of Differentiation; Logarithm Functions; Applications of the Exponential and Natural Logarithmic Functions; The Definite Integral; Functions of Several Variables; The Trigonometric Functions

 

For all readers interested in applied calculus.

Product Details

ISBN-13:
9780133214239
Publisher:
Prentice Hall Professional Technical Reference
Publication date:
09/28/1995
Edition description:
Older Edition
Pages:
602
Product dimensions:
8.29(w) x 9.50(h) x 1.14(d)

Related Subjects

Table of Contents

Preface

Introduction

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 Logarithmic 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 andRiemann Sums

6.3 Definite Integrals and the Fundamental Theorem

6.4 Areas in the xy-Plane

6.5 Applications of the Definite Integral

6.6 Techniques of Integration

6.7 Improper Integrals

6.8 Applications of Calculus to Probability

 

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 Mutlipliers 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

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