Applied calculus for business, economics, and the social and life sciences - Brossura

Hoffmann, Laurence; Bradley, Gerald; Sobecki, Dave; Price, Michael

Brossura

ISBN 10: 0071317848 ISBN 13: 9780071317849

Casa editrice: McGraw-Hill Education, 2022

Riassunto

Applied Calculus for Business, Economics, and the Social and Life Sciences, Expanded Edition provides a sound, intuitive understanding of the basic concepts students need as they pursue careers in business, economics, and the life and social sciences. Students achieve success using this text as a result of the author's applied and real-world orientation to concepts, problem-solving approach, straight forward and concise writing style, and comprehensive exercise sets. More than 100,000 students worldwide have studied from this text!

Su questo libro

L'autore:

Laurence D. Hoffmann November 2011 I consider myself to be a writer and expositor as well as a mathematician, and these traits led to the original version of this text published in 1975. Before assuming my current position as a Senior Investment Management Consultant with Morgan Stanley Smith Barney, I was a tenured professor of mathematics at Claremont McKenna College, where, on three occasions, I was honored to be the recipient of the Huntoon Award for Excellence in Teaching, a best-teacher award determined by a vote of the students. In addition to my current profession and my ongoing involvement with this text, I serve on the Strategic Planning committee of the Claremont Community foundation and on the Investment Committee of the Rancho Santa Ana Botanic Gardens in Claremont. My wife, Janice, and I love to travel, enjoy music and the arts, have two grown sons, three grandchildren and two Maltese dogs. I am an avid (but average) tennis player, am addicted to the Sunday Puzzle on NPR, and have been trying for several years to become fluent in Italian. Long ago, I received by BA in mathematics from Brown University and my Ph.D. in mathematics from the University of Wisconsin.

Contenuti:

Chapter 1: Functions, Graphs, and Limits

1.1 Functions

1.2 The Graph of a Function

1.3 Linear Functions

1.4 Functional Models

1.5 Limits

1.6 One-Sided Limits and Continuity

Chapter 2: Differentiation: Basic Concepts

2.1 The Derivative

2.2 Techniques of Differentiation

2.3 Product and Quotient Rules; Higher-Order Derivatives

2.4 The Chain Rule

2.5 Marginal Analysis and Approximations Using Increments

2.6 Implicit Differentiation and Related Rates

Chapter 3: Additional Applications of the Derivative

3.1 Increasing and Decreasing Functions; Relative Extrema

3.2 Concavity and Points of Inflection

3.3 Curve Sketching

3.4 Optimization; Elasticity of Demand

3.5 Additional Applied Optimization

Chapter 4: Exponential and Logarithmic Functions

4.1 Exponential Functions; Continuous Compounding

4.2 Logarithmic Functions

4.3 Differentiation of Exponential and Logarithmic Functions

4.4 Applications; Exponential Models

Chapter 5: Integration

5.1 Indefinite Integration with Applications

5.2 Integration by Substitution

5.3 The Definite Integral and the Fundamental Theorem of Calculus

5.4 Applying Definite Integration: Area Between Curves and Average Value

5.5 Additional Applications to Business and Economics

5.6 Additional Applications to the Life and Social Sciences

Chapter 6: Additional Topics in Integration

6.1 Integration by Parts; Integral Tables

6.2 Numerical Integration

6.3 Improper Integrals

Chapter 7: Calculus of Several Variables

7.1 Functions of Several Variables

7.2 Partial Derivatives

7.3 Optimizing Functions of Two Variables

7.4 The Method of Least-Squares

7.5 Constrained Optimization: The Method of Lagrange Multipliers

7.6 Double Integrals

Chapter 8: Trigonometric Functions

8.1 Angle Measurement; Trigonometric Functions

8.2 Derivatives of Trigonometric Functions

8.3 Integrals of Trigonometric Functions

Chapter 9: Differential Equations

9.1 Introduction to Differential Equations

9.2 First-Order Linear Differential Equations

9.3 Additional Applications of Differential Equations

9.4 Approximate Solutions of Differential Equations

9.5 Difference Equations; The Cobweb Model

Chapter 10: Probability and Calculus

10.1 Continuous Probability Distributions

10.2 Expected Value and Variance

10.3 Normal Distributions

Chapter 11: Infinite Series and Taylor Series Approximations

11.1 Infinite Series; Geometric Series

11.2 Tests for Convergence

11.3 Functions as Power Series; Taylor Series

Appendix A: Algebra Review

A.1 A Brief Review of Algebra

A.2 Factoring Polynomials and Solving Systems of Equations

A.3 Evaluating Limits with L’Hopital’s Rule

A.4 The Summation Notation

Su questa edizione

• Editore: McGraw-Hill Education
• Data di pubblicazione: 2022
• ISBN 10: 0071317848
• ISBN 13: 9780071317849
• Rilegatura: Copertina flessibile
• Numero di pagine: 1083