Calculus for Business, Economics, Life Sciences, and Social Sciences

Description

Diagnostic Prerequisite Test

 

1. Functions and Graphs

1.1 Functions

1.2 Elementary Functions: Graphs and Transformations

1.3 Linear and Quadratic Functions

1.4 Polynomial and Rational Functions

1.5 Exponential Functions

1.6 Logarithmic Functions

            Chapter 1 Review

            Review Exercises

 

2. Limits and the Derivative

2.1 Introduction to Limits

2.2 Infinite Limits and Limits at Infinity

2.3 Continuity

2.4 The Derivative

2.5 Basic Differentiation Properties

2.6 Differentials

2.7 Marginal Analysis in Business and Economics

            Chapter 2 Review

            Review Exercises

 

3. Additional Derivative Topics

3.1 The Constant e and Continuous Compound Interest

3.2 Derivatives of Exponential and Logarithmic Functions

3.3 Derivatives of Products and Quotients

3.4 The Chain Rule

3.5 Implicit Differentiation

3.6 Related Rates

3.7 Elasticity of Demand

            Chapter 3 Review

            Review Exercises

 

4. Graphing and Optimization

4.1 First Derivative and Graphs

4.2 Second Derivative and Graphs

4.3 L’Hôpital’s Rule

4.4 Curve Sketching Techniques

4.5 Absolute Maxima and Minima

4.6 Optimization

            Chapter 4 Review

            Review Exercises

 

5. Integration

5.1 Antiderivatives and Indefinite Integrals

5.2 Integration by Substitution

5.3 Differential Equations; Growth and Decay

5.4 The Definite Integral

5.5 The Fundamental Theorem of Calculus

            Chapter 5 Review

            Review Exercises

 

6. Additional Integration Topics

6.1 Area Between Curves

6.2 Applications in Business and Economics

6.3 Integration by Parts

6.4 Other Integration Methods

            Chapter 6 Review

            Review Exercises

 

7. Multivariable Calculus

7.1 Functions of Several Variables

7.2 Partial Derivatives

7.3 Maxima and Minima

7.4 Maxima and Minima Using Lagrange Multipliers

7.5 Method of Least Squares

7.6 Double Integrals Over Rectangular Regions

7.7 Double Integrals Over More General Regions

            Chapter 7 Review

            Review Exercises

 

8. Trigonometric Functions

8.1 Trigonometric Functions Review

8.2 Derivatives of Trigonometric Functions

8.3 Integration of Trigonometric Functions

            Chapter 8 Review

            Review Exercises

 

APPENDICES

A. Basic Algebra Review

A.1 Algebra and Real Numbers

A.2 Operations on Polynomials

A.3 Factoring Polynomials

A.4 Operations on Rational Expressions

A.5 Integer Exponents and Scientific Notation

A.6 Rational Exponents and Radicals

A.7 Quadratic Equations

 

B. Special Topics

B.1 Sequences, Series, and Summation Notation

B.2 Arithmetic and Geometric Sequences

B.3 Binomial Theorem

 

C. Tables

Table I. Basic Geometric Formulas

Table II Integration Formulas

 

Answers

Index

Applications Index

Barnett/Ziegler/Byleen is designed to help students help themselves succeed in the course. This text offers more built-in guidance than any other on the market–with special emphasis on prerequisites skills–and a host of student-friendly features to help students catch up or learn on their own.

Note: You are purchasing a standalone product; MyMathLab does not come packaged with this content. MyMathLab is not a self-paced technology and should only be purchased when required by an instructor. If you would like to purchase both the physical text and MyMathLab, search for:

 

0321925130 / 9780321925138 Calculus for Business, Economics, Life Sciences and Social Sciences Plus NEW MyMathLab with Pearson etext — Access Card Package

Package consists of:   

0321431308 / 9780321431301 MyMathLab — Glue-in Access Card

0321654064 / 9780321654069 MyMathLab Inside Star

0321869834 / 9780321869838 Calculus for Business, Economics, Life Sciences, and Social Sciences

 

For freshman/sophomore, 1-2 semester or 1-3 quarter courses covering calculus for students in business, economics, social sciences, or life sciences.

 

Barnett/Ziegler/Byleen is designed to help students help themselves succeed in the course. This text offers more built-in guidance than any other on the market–with special emphasis on prerequisites skills–and a host of student-friendly features to help students catch up or learn on their own.

 

This program provides a better teaching and learning experience. Here’s how:

• Personalized learning with MyMathLab^®: the accompanying MyMathLab course provides online homework and learning tools that help students help themselves succeed.
• More than 4,400 exercises in the text help you craft the perfect assignments for your students, with plenty of support for prerequisite skills.
• Built-in guidance helps students help themselves learn course content.
• Flexible coverage allows instructors to use this text in a way that suits their syllabus and teaching style.

Note: You are purchasing a standalone product; MyMathLab does not come packaged with this content. MyMathLab is not a self-paced technology and should only be purchased when required by an instructor. If you would like to purchase both the physical text and MyMathLab, search for:

 

0321925130 / 9780321925138 Calculus for Business, Economics, Life Sciences and Social Sciences Plus NEW MyMathLab with Pearson etext — Access Card Package

Package consists of:   

0321431308 / 9780321431301 MyMathLab — Glue-in Access Card

0321654064 / 9780321654069 MyMathLab Inside Star

0321869834 / 9780321869838 Calculus for Business, Economics, Life Sciences, and Social Sciences

 

• Personalized learning with MyMathLab^®: the accompanying MyMathLab course provides online homework and learning tools that help students help themselves succeed.
• NEW! Increased exercise coverage—choose from 3,200 assignable exercises to give students the varied practice they need.
• NEW! Getting Ready content and assessment provides chapter-by-chapter remediation for gaps in prerequisite skills.
• NEW! Adaptive learning functionality analyzes student work and points them toward resources that maximize their learning.
• Instructional videos for every example in the text are ideal for self-paced or independent study.
• More than 4,400 exercises in the text are carefully selected and graded, helping you craft the perfect assignments for your students.
• Prerequisite skills are assessed at the beginning of the text and are revisited before each exercise set.
• A Diagnostic Prerequisite Test prior to Chapter 1 helps students assess their prerequisite skills.
• The Basic Algebra Review in Appendix A (referenced in the answers to the Diagnostic Prerequisite Test) provides students with the content they need to remediate those skills.
• NEW! Skills Warm Up exercises begin most exercise sets, reviewing prerequisite knowledge specific to that section in a “just in time” approach. References to review material are provided for students who need a refresher.
• A, B, and C levels of exercises make it easy to appropriately challenge your students. NEW! A, B, and C labels now appear in the Annotated Instructor’s Edition only, so students can work without being distracted by difficulty level.
• Paired exercises of the same type and difficulty level (consecutive odd and even) allow you control over student use of answers (odd answers at the back of the text).
• Ample and up-to-date applications illustrate the relevance of mathematics and give students opportunities to create and interpret mathematical models.
• Optional graphing-utility and spreadsheet examples and exercises are clearly identified by an icon. These provide a deeper understanding of mathematical concepts, give students an opportunity to practice using tools they will likely use in the workplace, and allow students to solve problems that are not feasible to solve by hand.
• Chapter Reviews include exercises at the A, B, and C levels as well as thorough end-of-chapter summaries keyed by page number to worked examples within the chapter.
• Guided Lecture Notes offer a convenient, ready-to-use format, with ample space for students to take notes and show their work on in-class examples. The guide is text-specific, organized by Learning Objective, and highlights key examples and definitions. NEW! Instructors can download and edit this guide so the organization of the guide directly reflects the goals and approach of each lesson.
• Built-in guidance helps students help themselves learn the course content.
• 304 worked examples, including many with several parts.
• Examples are annotated and the problem-solving steps are clearly identified, which gives students extra assistance in understanding the solution.
• Dashed boxes show the detailed algebraic steps that are normally not included in textbooks, giving students extra help in working through the examples.
• A Matched Problem follows each example, providing students with an opportunity to reinforce and test understanding before moving on.
• Conceptual Insight boxes, appearing in nearly every section, either make explicit connections to previously learned concepts or provide a broader, more conceptual explanation of the topic, helping students place this new information in context.
• Explore & Discuss problems in every section encourage students to think about a relationship or process before a result is stated or to investigate additional consequences of a development in the text. These problems can help students of all levels gain better insight into the mathematical concepts and are effective in both small and large classroom settings. NEW!  The author has provided Teaching Tips for less-experienced instructors on how to engage students in these discussions and the goals of the exploration.
• Flexible coverage allows instructors to use this text in a way that suits their syllabus and teaching style.
• Topic selection, coverage, and organization reflect the course outlines of many major colleges and universities.
• Calculus coverage features early treatment of exponential and logarithmic functions plus more in-depth coverage of calculus topics than other texts.
• Emphasis on the construction of mathematical models, gives students critical tools for solving application problems.
• Technology coverage is optional, but discussions on using graphing calculators and spreadsheets are included where appropriate.
• Mini-Lectures are included for most sections of the text and provide additional classroom examples, a summary of suggested learning objectives, and teaching notes for the material. These mini-lectures are ideal for instructors who do not teach this course frequently, or just need some additional guidance or resources.
• NEW! An Annotated Instructor’s Edition is now available, providing answers to exercises directly on the exercise set page whenever possible.
• Teaching Tips are also provided for less experienced instructors, giving them insight on common student pitfalls, suggestions for how to approach a topic, or reminders of which prerequisite skills students will be using.
• Exercise difficulty level (i.e, A, B, and C) is indicated in the Annotated Instructor’s Edition only, so students can work without being distracted by difficulty level.

 

Raymond A. Barnett, a native of California, received his B.A. in mathematical statistics from the University of California at Berkeley and his M.A. in mathematics from the University of Southern California. He has been a member of the Merritt College Mathematics Department, and was chairman of the department for four years. Raymond Barnett has authored or co-authored eighteen textbooks in mathematics, most of which are still in use. In addition to international English editions, a number of books have been translated into Spanish.

 

Michael R. Ziegler (late) received his B.S. from Shippensburg State College and his M.S. and Ph.D. from the University of Delaware. After completing post doctoral work at the University of Kentucky, he was appointed to the faculty of Marquette University where he held the rank of Professor in the Department of Mathematics, Statistics, and Computer Science. Dr. Ziegler published over a dozen research articles in complex analysis and co-authored eleven undergraduate mathematics textbooks with Raymond A. Barnett, and more recently, Karl E. Byleen.

 

Karl E. Byleen received his B.S., M.A. and Ph.D. degrees in mathematics from the University of Nebraska. He is currently an Associate Professor in the Department of Mathematics, Statistics and Computer Science of Marquette University. He has published a dozen research articles on the algebraic theory of semigroups.

• Personalized learning with MyMathLab^®: the accompanying MyMathLab course provides online homework and learning tools that helps students help themselves succeed.
  • Increased exercise coverage–choose from 3,200 assignable exercises to give students the varied practice they need.
  • Getting Ready content provides chapter-by-chapter remediation for gaps in prerequisite skills.
  • Adaptive learning functionality analyzes student work and points them toward resources that maximize their learning.
• Enhancements to the exercise sets:
• Skills Warm Up exercises begin most exercise sets, reviewing prerequisite knowledge specific to that section in a “just in time” approach. References to review material are provided for students who need a refresher.
• A, B, and C labels within the exercises now appear in the Annotated Instructor’s Edition only, so students can work without being distracted by difficulty level.
• Guided Lecture Notes are now editable so the organization of the guide can directly reflect your goals and approach for each section.
• Content updates:
• The exposition has been revised and clarified throughout the book.
• Examples and exercises have been given up-to-date contexts and data.
• New for Instructors:
  • An Annotated Instructor’s Edition is now available, providing answers to exercises directly on the exercise set page whenever possible.
    • Teaching Tips are also provided for less experienced instructors, giving them insight on common student pitfalls, suggestions for how to approach a topic, or reminders of which prerequisite skills students will be tapping in to.
    • Exercise difficulty level (i.e., A, B, and C) is indicated in the Annotated Instructor’s Edition only, so students can work without being distracted by difficulty level.