Mathematics with Applications In the Management, Natural and Social Sciences
$279.99
| Title | Range | Discount |
|---|---|---|
| Trade Discount | 5 + | 25% |
- Description
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Description
Personalized help with MyMathLab®: MyMathLab delivers proven results by personalizing learning the learning process.
- NEW! Diagnostic quizzes and tutorial exercises provide individualized, chapter-by-chapter remediation for any gaps in prerequisite skills.
- NEW! Adaptive learning functionality analyzes all student work and points him or her toward resources that will help maximize learning.
- NEW! Increased exercise coverage—choose from more than 5,100 assignable exercises to give students the varied practice they need.
- NEW! Revised video program now includes videos for every section of the text as well as short video clips that introduce topics, provide examples, and summarize topics.
Strong foundation of algebra: The authors devote the first four chapters to coverage of algebra topics that form the foundation of the finite mathematics and calculus topics that follow.
- Foundational Chapters: The text begins with four chapters of algebra that can be used in a variety of ways based on the needs of the students and the goals of the course. Take advantage of all the content in these chapters as needed so students will be more successful with later topics and future courses.
- Diagnostic Tests—As a way to address the often weak algebra skills that students bring to this course, two diagnostic exams are provided just prior to Chapter 1.
- Prerequisite Skills Test assesses student understanding of the core skills students should have prior to starting the course.
- Calculus Readiness Test is designed to diagnose any gaps in algebra skills prior to starting the calculus content in Chapter 11.
- Fully Worked-Out Solutions to the diagnostic tests are provided in the back of the book as a way to help students self-remediate as needed, saving valuable class time. References to specific sections for remediation are provided with the solutions to the Calculus Readiness Test so that students can take advantage of Chapters 1-4 for self-remediation.
- Balanced Approach: Multiple representations of a topic (symbolic, numerical, graphical, verbal) are given when appropriate. However, the authors do not believe that all representations are useful for all topics, so effective alternatives are discussed only when they are likely to increase student understanding.
Built for student success: proven pedagogy, robust exercise sets, and comprehensive end-of-chapter material help students succeed in the course.
- Exercises have been updated to reflect the latest data and to incorporate feedback received on the previous version of the text.
- NEW! Approximately 21% of the 5,487 exercises in the text are new or updated.
- Example/Exercise Connection: Selected exercises include a reference back to related example(s) within the section (e.g., “See Examples 6 and 7”) to facilitate what students do naturally when they use a book—i.e., look for specific examples when they get stuck on a problem.
- NEW! A careful and thorough review of the relationship between examples and exercises has been completed to ensure that students have adequate and relevant examples to refer to when working on homework exercises
- Writing, Connections (relate current topics to earlier sections), and Technology Required exercises are specially marked, and provide variety in addition to the drill, conceptual, and application-based exercises.
- NEW! Exercises are now better paired so that the even exercises require similar knowledge for solution as the corresponding odd exercise (the answer for which is at the back of the book in the Student Edition).
- Caution notes highlight common student difficulties or warn against frequently made mistakes.
- Checkpoint Exercises in the margin are keyed to the discussion in the text. These exercises provide students with an opportunity to practice and gauge their level of understanding after learning a new skill. Answers to the exercises appear after homework exercises in each section.
- End-of-Chapter materials are designed to help students prepare for exams and include a Summary of Key Terms and Symbols and Key Concepts, as well as a very thorough set of Review Exercises.
- NEW! A table at the beginning of the answers for Review Exercises tells students which section of the book will provide help for each review exercise. That same table is available to instructors on the Review Exercise Set page.
- NEW! Annotated Instructor’s Edition provides tips for new and less experienced instructors in areas where students tend to struggle and suggestions for how they may avoid common student pitfalls.
Motivation: Students constantly see the math applied to their major areas of study.
- Real-Data Examples and Explanations: Real-data exercises have long been a popular and integral aspect of this book.
- NEW! Examples have been updated to reflect the latest data and to incorporate feedback received on the previous version of the text. Approximately 22% of the 646 examples in the text are new or updated.
- NEW! A list of companies, institutions and agencies referenced throughout the book is provided at the back of the text to help students easily recognize the many work-places where the mathematics is applied. In addition, an index of applications gives students a list of topic-specific applications.
- NEW! Case Studies—the popular culminating activities at the end of every chapter have been expanded to provide options for extended projects and group work. In addition, two of the case studies are completely new and five have been updated significantly.
- Technology is integrated into the text, yet optional, allowing you to incorporate as much or as little as you find appropriate for the course.
- NEW! Graphing calculator screen shots have been updated to represent the latest TI calculator, the TI-84+C. These visuals often prove valuable even to students not using graphing calculators.
- Technology Tips are placed at appropriate points in the text to inform students of various features of their graphing calculator, spreadsheet, or other computer programs.
- Appendix A: Graphing Calculators offers a brief introduction to the relevant features of the latest Texas Instruments graphing calculators.
- Graphing Calculator and Excel Spreadsheet manuals are also available online. These manuals provide students with added support for using graphing calculators and Excel.
1. Algebra and Equations
1.1 The Real Numbers
1.2 Polynomials
1.3 Factoring
1.4 Rational Expressions
1.5 Exponents and Radicals
1.6 First-Degree Equations
1.7 Quadratic Equations
Summary and Review
Case Study 1 Consumers Often Need to Just Do the Math
2. Graphs, Lines, and Inequalities
2.1 Graphs
2.2 Equations of Lines
2.3 Linear Models
2.4 Linear Inequalities
2.5 Polynomial and Rational Inequalities
Summary and Review
Case Study 2 Using Extrapolation and Interpolation for Prediction
3. Functions and Graphs
3.1 Functions
3.2 Graphs of Functions
3.3 Applications of Linear Functions
3.4 Quadratic Functions and Applications
3.5 Polynomial Functions
3.6 Rational Functions
Summary and Review
Case Study 3 Architectural Arches
4. Exponential and Logarithmic Functions
4.1 Exponential Functions
4.2 Applications of Exponential Functions
4.3 Logarithmic Functions
4.4 Logarithmic and Exponential Equations
Summary and Review
Case Study 4 Gapminder.org
5. Mathematics of Finance
5.1 Simple Interest and Discount
5.2 Compound Interest
5.3 Annuities, Future Value, and Sinking Funds
5.4 Annuities, Present Value, and Amortization
Summary and Review
Case Study 5 Continuous Compounding
6. Systems of Linear Equations and Matrices
6.1 Systems of Two Linear Equations in Two Variables
6.2 Larger Systems of Linear Equations
6.3 Applications of Systems of Linear Equations
6.4 Basic Matrix Operations
6.5 Matrix Products and Inverses
6.6 Applications of Matrices
Summary and Review
Case Study 6 Matrix Operations and Airline Route Maps
7. Linear Programming
7.1 Graphing Linear Inequalities in two Variables
7.2 Linear Programming: The Graphical Method
7.3 Applications of Linear Programming
7.4 The Simplex Method: Maximization
7.5 Maximization Applications
7.6 The Simplex Method: Duality and Minimization
7.7 The Simplex Method: Nonstandard Problems
Summary and Review
Case Study 7 Cooking with Linear Programming
8. Sets and Probability
8.1 Sets
8.2 Applications of Venn Diagrams and Contingency Tables
8.3 Introduction to Probability
8.4 Basic Concepts of Probability
8.5 Conditional Probability and Independent Events
8.6 Bayes’ Formula
Summary and Review
Case Study 8 Medical Diagnosis
9. Counting, Probability Distributions, and Further Topics in Probability
9.1 Probability Distributions and Expected Value
9.2 The Multiplication Principle, Permutations, and Combinations
9.3 Applications of Counting
9.4 Binomial Probability
9.5 Markov Chains
9.6 Decision Making
Summary and Review
Case Study 9 Quick Draw®from the New York State Lottery
10. Introduction to Statistics
10.1 Frequency Distributions
10.2 Measures of Center
10.3 Measures of Variation
10.4 Normal Distributions and Boxplots
10.5 Normal Approximation to the Binomial Distribution
Summary and Review
Case Study 10 Standard Deviation as a Measure of Risk
11. Differential Calculus
11.1 Limits
11.2 One-sided Limits and Limits Involving Infinity
11.3 Rates of Change
11.4 Tangent Lines and Derivatives
11.5 Techniques for Finding Derivatives
11.6 Derivatives of Products and Quotients
11.7 The Chain Rule
11.8 Derivatives of Exponential and Logarithmic Functions
11.9 Continuity and Differentiability
Summary and Review
Case Study 11 Price Elasticity
12. Applications of the Derivative
12.1 Derivatives and Graphs
12.2 The Second Derivative
12.3 Optimization Applications
12.4 Implicit Differentiation
12.5 Related Rates
12.6 Curve Sketching
Summary and Review
Case Study 12 A Total Cost Model for a Training Program
13. Integral Calculus
13.1 Antiderivatives
13.2 Integration by Substitution
13.3 Area and the Definite Integral
13.4 The Fundamental Theorem of Calculus
13.5 Applications of Integrals
13.6 Tables of Integrals (Optional)
13.7 Differential Equations
Summary and Review
Case Study 13 Bounded Population Growth
14. Multivariate Calculus
14.1 Functions of Several Variables
14.2 Partial Derivatives
14.3 Extrema of Functions of Several Variables
14.4 Lagrange Multipliers
Summary and Review
Case Study 14 Global Warming and the Method of Least Squares
Appendices
Appendix A. Graphing Calculators
Appendix B: Tables
Table 1: Formulas from Geometry
Table 2: Areas under the Normal Curve
Table 3: Integrals
Appendix C. Learning Objectives
Appendix D. Solutions to Prerequisite Skills Tests
Answers to Selected Exercises
Index of Companies, Products, and Agencies
Index of Applications
Subject Index
Note: You are purchasing a standalone product; MyMathLab does not come packaged with this content. If you would like to purchase both the physical text and MyMathLab, search for ISBN-10:
0321935446 /ISBN-13: 9780321935441. That package includes ISBN-10: 0321431308/ISBN-13: 9780321431301, ISBN-10: 0321654064/ISBN-13: 9780321654069 and ISBN-10: 0321931076/ ISBN-13: 9780321931078.
MyMathLab is not a self-paced technology and should only be purchased when required by an instructor.
Mathematics with Applications in the Management, Natural, and Social Sciences presents sound mathematics in an understandable manner, proceeding from the familiar to new material and from concrete examples to general rules and formulas. The Eleventh Edition retains its focus on real-world problem solving, but has been refreshed with revised and added content, updated and new applications, fine-tuned and newly-integrated pedagogical devices, and enhanced exercise sets.
Marge Lial (late) was always interested in math; it was her favorite subject in the first grade! Marge’s intense desire to educate both her students and herself has inspired the writing of numerous best-selling textbooks. Marge, who received bachelor’s and master’s degrees from California State University at Sacramento, was affiliated with American River College. An avid reader and traveler, her travel experiences often find their way into her books as applications, exercise sets, and feature sets. Her interest in archeology lead to trips to various digs and ruin sites, producing some fascinating problems for her textbooks involving such topics as the building of Mayan pyramids and the acoustics of ancient ball courts in the Yucatan.
Thomas W. Hungerford received his bachelor’s degree from Holy Cross and his Ph.D. from the University of Chicago. He taught for many years at the University of Washington (Seattle) before moving to Cleveland State University in 1980. He has been at St. Louis University since 2003. He has written a number of research articles in algebra and several in mathematics education. Dr. Hungerford is the author or coauthor of more than a dozen mathematics textbooks, ranging from high school to graduate level, several of which are published by Addison-Wesley. He is active in promoting the effective use of technology in mathematics instruction. Dr. Hungerford has also been a referee and reviewer for various mathematical journals and has served on National Science Foundation panels for selecting grant recipients.
John P. Holcomb, Jr. received his bachelor’s degree from St. Bonaventure University and his Ph.D. from the University at Albany, State University of New York. He is professor and chair and frequently publishes with researchers in a variety of disciplines where he provides statistical analysis. Dr. Holcomb has also authored several papers in statistical education and is very active in the American Statistical Association and the Mathematical Association of America. He was named a Carnegie Scholar in 2000 by the Carnegie Foundation for the Advancement of Teaching and Learning and in 2003 received the Waller Award from the American Statistical Association for outstanding teaching of introductory statistics.
Bernadette Mullins received her bachelor’s degree from Western Illinois University and her Ph.D. from the University of Iowa. She is currently professor of mathematics at Birmingham-Southern College in Birmingham, Alabama, where she arrived in 2000. She has published numerous articles in the fields of commutative ring theory and mathematics education. She has served as co-investigator for several National Science Foundation grants related to improving mathematics education. Dr. Mullins has won four awards for her excellence in teaching, including the Bob Whetstone award at BSC. Throughout her career, she has been active in Project NExT (New Experiences in Teaching) and the Mathematical Association of America, and was elected Alabama State Director of the MAA in 2013.
Note: You are purchasing a standalone product; MyMathLab does not come packaged with this content. If you would like to purchase both the physical text and MyMathLab, search for ISBN-10:
0321935446 /ISBN-13: 9780321935441. That package includes ISBN-10: 0321431308/ISBN-13: 9780321431301, ISBN-10: 0321654064/ISBN-13: 9780321654069 and ISBN-10: 0321931076/ ISBN-13: 9780321931078.
For freshman/sophomore, 2-semester or 2—3 quarter courses covering college algebra, finite mathematics, and/or calculus for students in management, natural, and social sciences.
Mathematics with Applications in the Management, Natural, and Social Sciences presents sound mathematics in an understandable manner, proceeding from the familiar to new material and from concrete examples to general rules and formulas. The Eleventh Edition retains its focus on real-world problem solving, but has been refreshed with revised and added content, updated and new applications, fine-tuned and newly-integrated pedagogical devices, and enhanced exercise sets. The new edition supports students with a tightly integrated MyMathLab® course and quality applications and exercises.
Teaching and Learning Experience
This program will provide a better teaching and learning experience. Here’s how:
- Personalized help with MyMathLab®: MyMathLab delivers proven results by personalizing the learning process.
- Strong foundation of algebra: The authors devote the first four chapters to algebra topics that form the foundation for the finite mathematics and calculus topics that follow.
- Built for student success: proven pedagogy, robust exercise sets, and comprehensive end-of-chapter material help students succeed in the course.
- Motivation: Students constantly see the math applied to their major areas of study.
New and Revised Content
- Diagnostic Tests—as a way to address the often weak algebra skills that students bring to this course, two diagnostic exams are provided just prior to Chapter 1.
- Prerequisite Skills Test assesses student understanding of the core skills students should have prior to starting the course.
- Calculus Readiness Test is designed to diagnose any gaps in algebra skills prior to starting the calculus content in Chapter 11.
- Fully worked-out solutions to the diagnostic tests are provided in the back of the book as a way to help students self-remediate as needed, saving valuable class time. References to specific sections for remediation are provided with the solutions to the Calculus Readiness Test so that students can take advantage of Chapters 1-4 for self-remediation.
- Quadratic functions consolidation—in the previous edition there were two separate sections for quadratic functions and applications of quadratic functions (3.4 and 3.5). These two sections have been consolidated for ease of teaching.
- Implicit differentiation and related rates—by popular demand, these topics have been added to the text (sections 12.4 and 12.5). Examples and exercises in these two new sections include applications to business, such as the rate of change of the number of employees and the revenue of a corporation.
- Examples have been updated to reflect the latest data and to incorporate feedback received on the previous version of the text. Approximately 22% of the 646 examples in the text are new or updated.
- Additional figures—an additional six figures were added to Section 2.2 to help illustrate slope as part of writing the equation of a line.
- Graphing calculator screen shots have been updated to represent the latest TI calculator, the TI-84+C. These visuals often prove valuable even to students not using graphing calculators.
- Case Studies—the popular culminating activities at the end of every chapter have been expanded to provide options for extended projects and group work. In addition, two of the case studies are completely new and five have been updated significantly.
- Student Learning Objectives for every section are provided at the back of the text. These objectives describe what students should be able to do after studying each section of the text.
New and Revised Exercises
- A careful and thorough review of the relationship between examples and exercises has been completed to ensure that students have adequate and relevant examples to refer to when working homework exercises.
- A table at the beginning of the answers for Review Exercises tells students which section of the book will provide help for each review exercise. That same table is available to instructors on the Review Exercise Set page in the Annotated Instructor’s Edition.
- Exercises are now better paired so that the even exercises require similar knowledge for solution as the corresponding odd exercise (the answer for which is at the back of the book).
- Exercises have been updated to reflect the latest data and to incorporate feedback received on the previous version of the text. Approximately 21% of the 5,487 exercises in the text are new or updated.
New and Revised Technology
- The MyMathLab course for the text has been updated to include:
- Increased exercise coverage—choose from over 5,100 assignable exercises to give students the varied practice they need.
- Diagnostic quizzes and tutorial exercises provide individualized, chapter-by-chapter remediation for any gaps in prerequisite skills.
- Adaptive learning functionality analyzes all student work and points them toward resources that will help maximize their learning.
- Revised video program now includes videos for every section of the text as well as short video clips that introduce topics, provide examples, and summarize topics.
New and Revised Supplements
- An Annotated Instructor’s Edition (AIE) has been produced for this edition to support instructors. The AIE contains most answers right next to the exercises as well as Teaching Tips for less experienced instructors that provide helpful hints or notes about key prerequisite skills and common student missteps.
Additional information
| Dimensions | 1.50 × 8.80 × 11.10 in |
|---|---|
| Imprint | |
| Format | |
| ISBN-13 | |
| ISBN-10 | |
| Author | Margaret L. Lial, Thomas W. Hungerford, John P. Holcomb, Bernadette Mullins |
| Subjects | mathematics, higher education, applied math, Calculus, Applied & Advanced Math, Mathematics for Business |
