Description Finite Mathematics and Calculus with Applications, Ninth Edition, by Lial, Greenwell, and Ritchey, is our most applied text to date, making the math relevant and accessible for students of business, life science, and social sciences. Current applications, many using real data, are incorporated in numerous forms throughout the book, preparing students for success in their professional careers. With this edition, students will find new ways to get involved with the material, such as “Your Turn” exercises and “Apply It” vignettes that encourage active participation.
The MyMathLab ® course for the text provides additional learning resources for students, such as video tutorials, algebra help, step-by-step examples, and graphing calculator help. The course also features many more assignable exercises than the previous edition. A wide variety of applications reference real data from articles in newspapers, journals, and websites. Examples with recent data help students learn how the mathematics is applied to their field of study, immediately addressing the question “why are we learning this?”. Apply It opens most sections with a provocative, real-world oriented question that is addressed in the exposition and exercises.
Applied exercises are grouped by type of application and highlighted for easy identification. Extended Applications appear at the end of all chapters to stimulate student interest and foster in-depth learning.
Finite Mathematics 9th Edition Lial
Directions for Group Projects in the Extended Applications provide an opportunity for cooperative learning. Index of Applications provides instructors and students with an overview of the types of applications throughout the book. Application exercises within MyMathLab are now labeled by type of application. Assessment and remediation features appear at key points to ensure that students keep up with the material, and provide plenty of pointers to help those who fall behind. “Your Turn” exercises following selected examples provide students with an easy way to stop and check their understanding of the skill or concept being presented. Answers are provided at the end of the section’s exercises. The Prerequisite Skills Diagnostic Test, just prior to Chapter R, gives students and instructors an opportunity to assess students’ skills on topics that are critical to success in this course.
Answers reference specific review material in the text for targeted remediation. Algebra Reference chapter appears at the beginning of the text, allowing students to brush up on their algebra skills. “For Review” boxes in the margin provide immediate review, or refer students back to appropriate sections as needed.
Chapter Summaries include important concepts, rules, and formulas, helping students review what they have learned. Caution boxes warn students of common errors/misconceptions and Note boxes offer additional useful information. Both are highlighted for easy reference. Diverse exercise sets show how math is used in students’ major courses of study—business, life science, and social sciences. Connection Exercises, denoted with an icon, integrate topics/concepts from different sections. Writing Exercises, denoted with an icon, provide students with an opportunity to write about important mathematical ideas.
Technology Exercises, denoted with an icon, explore concepts using a graphing calculator or spreadsheet. Concept Check exercises in the Chapter reviews help students verify their understanding of important topics. Reference Tables for Exercises appear in the back of the book, next to the answers to odd-numbered exercises. These tables correlate homework exercises to a helpful example in the text. Technology coverage keeps your classroom and students up-to-date with the latest software and technology options available on the market.
The updated design makes it easier to identify technology coverage so instructors can more easily highlight (or skip) the material. Excel ® Spreadsheets are included in examples and exercises where appropriate, allowing students to work problems that closely relate to real-life and business situations. Graphing Calculator discussions are included in many examples, but are not essential for understanding the text. Figures depicting graphing calculator screens now feature the new TI MathPrint ™ operating system.
MyMathLab ® provides a complete online course designed to increase student achievement. The course contains over 4,100 assignable exercises with help features that can be customized to the needs of your course.
It also features video tutorials, algebra diagnostic and remediation, and more. Based on the authors’ experience in the classroom along with feedback from many instructors across the country, this revision improves the clarity of the presentation and provides students with more opportunities to learn, practice, and apply what they’ve learned on their own. The Prerequisite Skills Diagnostic Test gives students and instructors a means to assess the basic prerequisite skills needed to be successful in this course. Answers to the test include references to specific content in the algebra review chapter. The solutions to the questions are included in an appendix so students can self-remediate in a targeted fashion.
More applications and exercises include real data. The Instructor’s Edition (AIE) is now fully annotated. It includes valuable teaching tips in the margins for those instructors who are new to teaching this course. In addition, answers to most exercises are provided directly on the exercise set page to make it easier to assign and check homework.
Challenging exercises are labeled with a plus sign (“+”) in the AIE to make them easy to identify. New to the MyMathLab course. A “ Getting Ready for Applied Calculus” chapter covers prerequisite skills. Used together with the pre-made Diagnostic Tests and Personalized Homework feature, MyMathLab provides a realistic way to address gaps in basic algebra skills. Personalized Homework functionality allows instructors to create homework assignments based on the results of student assessments. Tutorial videos for every section of the textbook cover important concepts and terms, and are easily accessible for students who miss lecture.
Application labels within exercise sets (e.g., “Business/Econ”) make it easy for instructors to find types of applications appropriate to students. A Ready-To-Go MyMathLab course option for this book provides students with all the same great MyMathLab features that you’re used to, but make it easier for instructors to get started. Each course includes pre-assigned homeworks and quizzes to make creating your course even simpler. For this book, the Ready-to-Go option includes:.
Prerequisite Skills Test with accompanying personalized homework for remediation. A homework assignment for each section of the book.
Chapter Review Self-Check Quiz with accompanying personalized homework. Interactive Figures designed for both in-class teaching and independent learning. Make them a part of assignments with Interactive Figure Questions in MyMathLab. Enhanced examples include more detailed annotations to guide students through new concepts and skills. Since students tend to refer back to the examples for help with homework, they will find this new feature especially helpful. “Your Turn” exercises, following selected examples, provide students with an easy way to stop and check their understanding of the skill or concept being presented. Answers are provided at the end of the section’s exercises.
Tailor your technology coverage—material on graphing calculators or Excel ® is now set off to make it easier for students and instructors to find if they want to use this technology, or to skip if they don't. All of the figures depicting graphing calculator screens have been redrawn to create a more accurate depiction of the math. This edition references and provides students with a transition to the new MathPrint ™ operating system of the TI-84 Plus through the technology notes, a new appendix, and the Graphing Calculator and Excel Spreadsheet Manual. New and updated Extended Applications include new problems and new data sets based on current, relevant sources.
Reference Tables for Exercises appear in the back of the book, next to the answers to odd-numbered exercises. These tables correlate exercises to a specific example in the text; for review exercises, they refer to the section in the chapter where the topic of the exercise is first discussed. Content Updates. More than 20% of the applications and 32% of the examples are new or updated. In addition, the authors have added or updated more than 600 exercises.
Chapter R (Algebra Reference): The flow of the material was improved through the reordering of some exercises and examples. Exercises were added to section R.1 (on performing algebraic operations) and section R.5 (on solving inequalities). Chapter 1 (Linear Functions): Changes in the presentation were made throughout to increase clarity, including adding some examples and rewriting others. Terminology in Section 1.2 (Linear Functions and Applications) was adjusted to be more consistent with usage in economics.
Chapter 2 (Systems of Linear Equations and Matrices): Section 2.1 (Solution of Linear Systems by the Echelon Method) was changed so that only systems of two equations are solved by the echelon method, while systems with three or more equations are postponed until the Gauss-Jordan method in Section 2.2 (Solution of Linear Systems by the Gauss-Jordan Method). The discussion of subtraction of matrices in Section 2.3 was simplified. Chapter 3 (Linear Programming: The Graphical Method): The concept of bounded and unbounded regions was moved from Section 3.2 (Solving Linear Programming Problems Graphically) to Section 3.1 (Graphing Linear Inequalities), where such regions are first encountered. An Extended Application on sensitivity analysis was added to this chapter. Chapter 4 (Linear Programming: The Simplex Method): Exercises 25–30 in Section 4.1 (Slack Variables and the Pivot) were modified to clarify the role of slack variables.
Exercise 30 in Section 4.2 was modified to amplify how multiple solutions may arise. The method for handling ties in nonstandard problems in Section 4.4 (Nonstandard Problems) was improved. Chapter 5 (Mathematics of Finance): In Section 5.1 (Simple and Compound Interest), examples and accompanying exercises were added covering how to solve for the interest rate and how to find the compounding time, both with a graphing calculator and with logarithms. The explanation of the rule of 70 and the rule of 72 was improved. Material on continuous compounding was also added to Section 5.1. In Section 5.3 (Present Value of an Annuity; Amortization) an example and accompanying exercises were added discussing how a loan can be paid off early. Chapter 6 (Logic): Many exercises in this chapter were revised so that the information would be more relevant to students.
For example, tax references include scholarships, tuition, paychecks, reporting tips, filing taxes, inheritances, and tuition deductions; law references include car accidents, contracts, lawsuits, driver’s license, and marriage; and warranty references cover the iPhone ™ and eBay ®. In Section 6.5 (Analyzing Arguments and Proofs), applications were revised to give more diversity in topics. Chapter 7 (Sets and Probability): Empirical probability was moved from Section 7.4 (Basic Concepts of Probability) to 7.3 (Introduction to Probability) so that methods for determining probability are contained in the same section. In Section 7.4, probability distributions are emphasized more and a probability distribution example was added. In Section 7.6 (Bayes’ Theorem) the introduction to Bayes’ Theorem was rewritten for brevity and clarity.
Chapter 8 (Counting Principles; Further Probability Topics): The notation for combinations was changed from ( n r) to C( n, r) to be more current and consistent with our notation throughout the book. Section 8.3 (Probability Applications of Counting Principles) now includes an example illustrating probabilities using permutations and using the multiplication principle.
Chapter 9 (Statistics): In Section 9.1 (Frequency Distributions; Measures of Central Tendency) a new example was added, illustrating a case where the median is a truer representation of data than the mean. Chapter 10 (Nonlinear Functions): The material in Section 10.1 (Properties of Functions) on the Dow Jones Average was updated. Material on even and odd functions was added. Material on identifying the degree of a polynomial has been rewritten as an example to better highlight the concept. The discussion of the Rule of 70 and the Rule of 72 was improved. A new Extended Application on Power Functions has been added. Chapter 11 (The Derivative): In Section 11.1 (Limits), the introduction of limits was completely revised.
The opening discussion and example were transformed into a series of examples that progress through different limit scenarios: a function defined at the limit, a function undefined at the limit (a hole in the graph), a function defined at the limit but with a different value than the limit (a piecewise function), and then finally, finding a limit when one does not exist. New figures were added to illustrate the different scenarios. In Section 11.2 (Continuity) the definition and example of continuity has been revised using a simple process to test for continuity. The opening discussion of Section 11.5 (Graphical Differentiation) showing how to sketch the graph of the derivative given the graph of the original function was rewritten as an example. Chapter 12 (Calculating the Derivative): The introduction to the chain rule was rewritten as an example in Section 12.3 (The Chain Rule).
Exercise topics were revised to cover subjects such as worldwide Internet users, online learning, and the Gateway arch. Chapter 13 (Graphs and the Derivative): In Section 13.1 (Increasing and Decreasing Functions) the definition of increasing/decreasing functions has been moved to the beginning of the chapter, followed by the discussion of using derivatives to determine where the function increases and decreases. The determination of where a function is increasing or decreasing is divided into three examples: when the critical numbers are found by setting the derivative equal to zero, when the critical numbers are found by determining where the derivative is undefined, and when the function has no critical numbers. Chapter 14 (Applications of the Derivative): Changes in the presentation were made throughout to increase clarity and exercise sets were rearranged to improve progression and parity. Chapter 15 (Integration): The social sciences category of exercises was added to Section 15.1 (Antiderivatives), including the topics of bachelor's degrees and the number of females earning degrees in dentistry.
Color was added to the introduction and first example of substitution in Section 15.2 (Substitution) to enable students to follow the substitution more easily. Chapter 16 (Further Techniques and Applications of Integration): In addition to exercises based on real data being updated, examples in this chapter were changed for pedagogical reasons. Chapter 17 (Multivariable Calculus): Graphs generated by Maple ™ were added to Examples 2 and 4 in Section 17.3 (Maxima and Minima) to assist students in visualizing the concept of relative extrema.
Material covering utility functions was added to Section 17.4. Chapter 18 (Probability and Calculus): In Section 18.2 (Expected Value and Variance of Continuous Random Variables), an example on how to calculate the probability within one standard deviation of the mean (which is required in many of the exercises) was added. The Social Sciences category was added to the exercise set, with exercises on calculating the median, expected value, and standard deviation. Topics include the time it takes to learn a task and the age of users of a social network. Table of Contents R. Algebra Reference R.1 Polynomials R.2 Factoring R.3 Rational Expressions R.4 Equations R.5 Inequalities R.6 Exponents R.7 Radicals 1. Linear Functions 1.1 Slopes and Equations of Lines 1.2 Linear Functions and Applications 1.3 The Least Squares Line Chapter 1 Review Extended Application: Using Extrapolation to Predict Life Expectancy 2.
Systems of Linear Equations and Matrices 2.1 Solution of Linear Systems by the Echelon Method 2.2 Solution of Linear Systems by the Gauss-Jordan Method 2.3 Addition and Subtraction of Matrices 2.4 Multiplication of Matrices 2.5 Matrix Inverses 2.6 Input-Output Models Chapter 2 Review Extended Application: Contagion 3. Linear Programming: The Graphical Method 3.1 Graphing Linear Inequalities 3.2 Solving Linear Programming Problems Graphically 3.3 Applications of Linear Programming Chapter 3 Review Extended Application: Sensitivity Analysis 4. Linear Programming: The Simplex Method 4.1 Slack Variables and the Pivot 4.2 Maximization Problems 4.3 Minimization Problems; Duality 4.4 Nonstandard Problems Chapter 4 Review Extended Application: Using Integer Programming in the Stock-Cutting Problem 5. Mathematics of Finance 5.1 Simple and Compound Interest 5.2 Future Value of an Annuity 5.3 Present Value of an Annuity; Amortization Chapter 5 Review Extended Application: Time, Money, and Polynomials 6.
Logic 6.1 Statements 6.2 Truth Tables and Equivalent Statements 6.3 The Conditional and Circuits 6.4 More on the Conditional 6.5 Analyzing Arguments and Proofs 6.6 Analyzing Arguments with Quantifiers Chapter 6 Review Extended Application: Logic Puzzles 7. Sets and Probability 7.1 Sets 7.2 Applications of Venn Diagrams 7.3 Introduction to Probability 7.4 Basic Concepts of Probability 7.5 Conditional Probability; Independent Events 7.6 Bayes' Theorem Chapter 7 Review Extended Application: Medical Diagnosis 8.
Counting Principles; Further Probability Topics 8.1 The Multiplication Principle; Permutations 8.2 Combinations 8.3 Probability Applications of Counting Principles 8.4 Binomial Probability 8.5 Probability Distributions; Expected Value Chapter 8 Review Extended Application: Optimal Inventory for a Service Truck 9. Statistics 9.1 Frequency Distributions; Measures of Central Tendency 9.2 Measures of Variation 9.3 The Normal Distribution 9.4 Normal Approximation to the Binomial Distribution Chapter 9 Review Extended Application: Statistics in the Law - The Castaneda Decision 10. Nonlinear Functions 10.1 Properties of Functions 10.2 Quadratic Functions; Translation and Reflection 10.3 Polynomial and Rational Functions 10.4 Exponential Functions 10.5 Logarithmic Functions 10.6 Applications: Growth and Decay; Mathematics of Finance Chapter 10 Review Extended Application: Characteristics of the Monkeyface Prickleback 11. The Derivative 11.1 Limits 11.2 Continuity 11.3 Rates of Change 11.4 Definition of the Derivative 11.5 Graphical Differentiation Chapter 11 Review Extended Application: A Model for Drugs Administered Intravenously 12. Calculating the Derivative 12.1 Techniques for Finding Derivatives 12.2 Derivatives of Products and Quotients 12.3 The Chain Rule 12.4 Derivatives of Exponential Functions 12.5 Derivatives of Logarithmic Functions Chapter 12 Review Extended Application: Electrical Potential and Electric Field 13. Graphs and the Derivative 13.1 Increasing and Decreasing Functions 13.2 Relative Extrema 13.3 Higher Derivatives, Concavity, and the Second Derivative Test 13.4 Curve Sketching Chapter 13 Review Extended Application: A Drug Concentration Model for Orally Administered Medications 14. Applications of the Derivative 14.1 Absolute Extrema 14.2 Applications of Extrema 14.3 Further Business Applications: Economic Lot Size; Economic Order Quantity; Elasticity of Demand 14.4 Implicit Differentiation 14.5 Related Rates 14.6 Differentials: Linear Approximation Chapter 14 Review Extended Application: A Total Cost Model for a Training Program 15.
Integration 15.1 Antiderivatives 15.2 Substitution 15.3 Area and the Definite Integral 15.4 The Fundamental Theorem of Calculus 15.5 The Area Between Two Curves 15.6 Numerical Integration Chapter15 Review Extended Application: Estimating Depletion Dates for Minerals 16. Further Techniques and Applications of Integration 16.1 Integraton by Parts 16.2 Volume and Average Value 16.3 Continuous Money Flow 16.4 Improper Integrals Chapter 16 Review Extended Application: Estimating Learning Curves in Manufacturing with Integrals 17. Multivariable Calculus 17.1 Functions of Several Variables 17.2 Partial Derivatives 17.3 Maxima and Minima 17.4 Lagrange Multipliers 17.5 Total Differentials and Approximations 17.6 Double Integrals Chapter 17 Review Extended Application: Using Multivariable Fitting to Create a Response Surface Design 18. Probability and Calculus 18.1 Continuous Probability Models 18.2 Expected Value and Variance of Continuous Random Variables 18.3 Special Probability Density Functions Chapter 18 Review Extended Application: Exponential Waiting Times. About the Author(s) Marge Lial 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, is now affiliated with American River College.
Marge is an avid reader and traveler. Her travel experiences often find their way into her books as applications, exercise sets, and feature sets. She is particularly interested in archeology. Trips to various digs and ruin sites have produced 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. Greenwell earned a B.A.
In Mathematics and Physics from the University of San Diego, and an M.S. In Statistics, an M.S. In Applied Mathematics, and a Ph.D.
In Applied Mathematics from Michigan State University, where he earned the graduate student teaching award in 1979. After teaching at Albion College in Michigan for four years, he moved to Hofstra University in1983, where he currently is Professor of Mathematics. Raymond has published articles on fluid mechanics, mathematical biology, genetic algorithms, combinatorics, statistics, and undergraduate mathematics education. He is a member of MAA, AMS, SIAM, NCTM, and AMATYC.
He is currently (2002-2005) governor of the Metropolitan New York Section of the MAA, as well as webmaster and liaison coordinator, and he received a distinguished service award from the Section in 2003. He is an outdoor enthusiast and leads trips in the Sierra Club’s Inner City Outings program. Ritchey earned a B.A. In Mathematics with a minor in Music from Mansfield University of Pennsylvania. He earned a M.S. In Applied Mathematics and a Ph.D.
In Mathematics from Carnegie Mellon University. He is currently a Professor of Mathematics and Chair of the Department of Mathematics and Statistics at Youngstown State University. He has published articles in economics, honors education, medicine, mathematics, operations research, and student recruitment. Nate is a Consultant/Evaluator for the North Central Association's Higher Learning Commission and regularly participates in program evaluations.
In recognition of his numerous activities, Nate has received the Distinguished Professor Award for University Service, the Youngstown Vindicator's 'People Who Make a Difference Award,' the Watson Merit Award for Department Chairs, the Spirit in Education Award from the SunTex corporation, and the Provost's Merit Award for significant contributions to the Honors Program. A father of four children, Nate enthusiastically coaches soccer and softball. Acs inorganic chemistry study guide. He also loves music, playing several instruments, and is a tenor in the Shenango Valley Chorale. More information about Nate Ritchey can be found at: http://www.as.ysu.edu/nate/.
Description For freshman/sophomore, 1-semester or 1-2 quarter courses covering finite mathematics for students in business, economics, social sciences, or life sciences. This package includes MyMathLab ®. Finite Mathematics, Eleventh Edition by Lial, Greenwell, and Ritchey, is our most applied text to date, making the math relevant and accessible for students of business, life science, and social sciences. Current applications, many using real data, are incorporated in numerous forms throughout the book, preparing students for success in their professional careers.
With this edition, students will find new ways to help them learn the material, such as Warm-Up Exercises and added “help text” within examples. Personalize learning with MyMathLab The MyMathLab ® course for the text provides online homework and additional learning resources for students, such as video tutorials, algebra help, step-by-step examples, and graphing calculator help. The course features many more assignable exercises than the previous edition. Personalize learning with MyMathLab MyMathLab is the online homework, tutorial, and assessment program designed for this text to engage students and improve results. Within its structured environment, students learn, practice and apply what they learn, test their understanding, and take advantage of a personalized study plan that adapts to their needs.
The MyMathLab ® course for this text contains 3,600 assignable exercises with help features that can be customized to the needs of your students. At the request of MyMathLab users, we added more applications to this revision. Setup & Solve exercises require students to specify how to set up a problem, then solve it. These exercises better mirror what students will be asked to do on tests. Application labels within exercise sets (e.g., “Business/Econ”) make it easy for instructors to find types of applications appropriate to students. An Integrated Review version of the course contains pre-assigned diagnostic and remediation resources for key prerequisite skills. Skills Check Quizzes help diagnose gaps in skills prior to each chapter.
MyMathLab then provides personalized help on only those skills that a student has not mastered. Personalized Homework functionality allows instructors to create homework assignments based on the results of student assessments. Tutorial videos for every section of the textbook cover important concepts and terms, and are easily accessible for students who miss lecture. Videos are available as full-length lectures and as shorter, assignable video clips that focus on a specific concept or example. A Guide to Video-Based Assignments shows which exercises correspond to each video clip, making it easy to assess students after they watch an instructional video. This is perfect for flipped-classroom situations. NEW! Tutorial videos involving graphing calculators are now included within MyMathLab exercises to augment videos showing 'by hand' methods.
If you require graphing calculator usage for the course, your students will find the instruction in these videos very helpful. (If you do not use calculators, you can hide these videos from students.) The videos were created by veteran math instructors at the University of Arkansas with technical assistance from the university's Global Campus.
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Learning Catalytics is a “bring your own device” student engagement, assessment, and classroom intelligence system. Students use any modern web-enabled device they already have–laptop, smartphone, or tablet. With Learning Catalytics, you assess students in real time, using open-ended tasks to probe student understanding. It allows you to engage students by creating open-ended questions that ask for numerical, algebraic, textual, or graphical responses–or just plain multiple-choice. Students who have access to MyMathLab have instant access to Learning Catalytics and can log in using their MyMathLab username and password.
Learning Catalytics contains Pearson-created content for finite mathematics that allows you to take advantage of this exciting technology immediately. About the Textbook.
A wide variety of applications reference real data from articles in newspapers, journals, and websites. Examples and exercises with recent data help students learn how the mathematics is applied to their field of study, immediately addressing the question, “Why are we learning this?” NEW!
The authors have added or updated 107 (12.5%) of the application exercises throughout the text. Apply It opens most sections with a provocative, real-world oriented question that is addressed in the exposition and exercises. Applied exercises are grouped by type of application and highlighted for easy identification. Extended Applications appear at the end of all chapters to stimulate student interest and foster in-depth learning. Directions for Group Projects in the Extended Applications provide an opportunity for cooperative learning.
Index of Applications provides instructors and students with an overview of the types of applications throughout the book. Application exercises within MyMathLab are labeled by type of application.
Assessment and remediation features appear at key points to ensure that students keep up with the material, and provide plenty of pointers to help those who fall behind. “Your Turn” exercises following selected examples provide students with an easy way to stop and check their understanding of the skill or concept being presented. Answers are provided at the end of the section’s exercises.
Warm-Up exercises were added to many exercise sets to provide an opportunity for students to refresh key prerequisite skills at “point of use.” Each exercise includes a note about where students can go for help if needed. The Prerequisite Skills Diagnostic Test, just prior to Chapter R, gives students and instructors an opportunity to assess students’ skills on topics that are critical to success in this course. Answers refer to specific review material in the text for targeted remediation. An Algebra Reference chapter appears at the beginning of the text, allowing students to brush up on their algebra skills. “For Review” boxes in the margin provide immediate review, or refer students back to appropriate sections as needed. “Help text” annotations, set in small blue type, appear next to the steps within worked-out examples and provide an additional aid for students with weaker algebra skills. Many more have been added in this edition.
Chapter Summaries include important concepts, rules, and formulas, helping students review what they have learned. Caution notes warn students of common errors/misconceptions and Note boxes offer additional useful information. Both are highlighted for easy reference.
![Solution Manual Finite Mathematics 9th Edition Lial Solution Manual Finite Mathematics 9th Edition Lial](/uploads/1/2/3/7/123763482/964883280.jpg)
Diverse exercise sets show how math is used in students’ major courses of study–business, life science, and social sciences. Connection Exercises integrate topics/concepts from different sections. These are denoted with an icon. Technology Exercises explore concepts using a graphing calculator or spreadsheet. These are denoted with an icon. Concept Check exercises in the Chapter Reviews help students verify their understanding of important topics. Reference Tables for Exercises appear in the back of the book.
These tables correlate homework exercises to a helpful example in the text. Technology coverage keeps your classroom and students up-to-date with the latest software and technology options available on the market.
The design makes it easy to identify technology coverage so instructors can more easily highlight (or skip) the material. Excel ® Spreadsheets are included in examples and exercises where appropriate, allowing students to work problems that closely relate to real-life and business situations. Graphing Calculator discussions are included in many examples, but are not essential for understanding the text. Graphing calculator screens have been updated to reflect the TI-84 Plus C, which features a higher-resolution color screen. Technology Notes Material on graphing calculators or Microsoft Excel is clearly labeled to make it easier for instructors to use this material (or not).
Personalize learning with MyMathLab MyMathLab is an online homework, tutorial, and assessment program designed for this text to engage students and improve results. Within its structured environment, students learn, practice and apply what they learn, test their understanding, and take advantage of a personalized study plan that adapts to their needs.
Some resources were added or revised based on student usage of the previous edition of the MyMathLab course. For example, more exercises were added to those chapters and sections that are more widely assigned.
Hundreds of new exercises were added to the course to provide you with more options for assignments, including:. More application exercises throughout the text. Setup & Solve exercises that require students to specify how to set up a problem as well as to solve it. Exercises that take advantage of the enhanced graphing tool. An Integrated Review version of the course contains pre-assigned diagnostic and remediation resources for key prerequisite skills.
Skills Check Quizzes help diagnose gaps in skills prior to each chapters. MyMathLab then provides personalized help on only those skills that a student has not mastered. The videos for the course have increased in number, type, and quality:. New videos feature more applications and more challenging examples.
NEW! Tutorial videos involving graphing calculators are now included within MyMathLab exercises to augment videos showing 'by hand' methods. If you require graphing calculator usage for the course, your students will find the instruction in these videos very helpful. (If you do not use calculators, you can hide these videos from students.) The videos were created by veteran math instructors at the University of Arkansas with technical assistance from the university's Global Campus. A Guide to Video-Based Assignments shows which exercises correspond to each video, making it easy to assess students after they watch an instructional video.
This is perfect for flipped-classroom situations. Assignable, shorter video clips focus on a specific concept or example. These appear in addition to full-length lecture videos in MyMathLab. Learning Catalytics is a “bring your own device” student engagement, assessment, and classroom intelligence system. Students use any modern web-enabled device they already have—laptop, smartphone, or tablet. With Learning Catalytics, you assess students in real time, using open-ended tasks to probe student understanding. It allows you to engage students by creating open-ended questions that ask for numerical, algebraic, textual, or graphical responses—or just plain multiple-choice.
Students who have access to MyMathLab have instant access to Learning Catalytics and can log in using their MyMathLab username and password. Learning Catalytics contains Pearson-created content for finite mathematics that allows you to take advantage of this exciting technology immediately. New and updated features. Warm-Up exercises were added to many exercise sets to provide an opportunity for students to refresh key prerequisite skills at “point of use.”. Graphing calculator screens have been updated to reflect the TI-84 Plus C, which features color and a much higher resolution screen. Additionally, the graphing calculator notes have been updated throughout. More help text in the examples provide an additional aid for students with weaker algebra skills.
These notes are set in small blue type next to the steps within worked-out examples. More real data in examples and exercises include additional or updated data:.
The authors have added or updated 107 (12.5%) of the application exercises throughout the text. Updated exercises and examples are based on user feedback and other factors. Of the 2646 exercises within the sections, 208 (7.8%) are new or updated. Of the 318 examples, 64 (20.1%) are new or updated.
Content Updates. Chapter R.
Added new Your Turn exercises to ensure that there is a student assessment for each major concept. Added more detail to R.2 on factoring perfect squares. Chapter 1. Rewrote the part of 1.1 involving graphing lines, emphasizing different methods for graphing. Rewrote 1.2 on supply, demand, break-even analysis, and equilibrium; giving formal definitions that match what students would see in business and economics courses.
All of the business applications were revised, according to recommendations of reviewers, to be more in line with business texts. Also added a new Example 6 on finding a cost function. Added color for pedagogical reasons to make content easier to follow. Chapter 2. In 2.1, added a new definition for consistent systems. Also added definitions of general solution, parameter, and particular system and how to find each. In 2.5, added a shortcut for finding the inverse of a 2 x 2 matrix.
Chapter 3. Revised two Technology Notes in 3.1, giving more details on how to graph an inequality and how to add color. Also added Example 6, which illustrates what happens when there is no feasible region. In 3.2, revised a Technology Note explaining how to find the points of intersection in the feasible region.
Chapter 4. Added column headings to 4.1 to explain where basic variables are. Additionally, revised Example 4 with more explanation and detail. Added a Caution note to 4.2 and revised the Technology Note for using Excel to solve linear programming problems. Chapter 5. In 5.1, revised Example 2 to add more detail regarding what each variable designates. Revised Examples 4-6 and 8-10 to better explain concepts and/or update real-world data.
Revised Example 12 with more explanation-important because we gave two methods to find compounding time (using graphing calculator and also showing an optional method that uses logarithms). Added new Technology Notes to 5.1, 5.2, and 5.3 explaining how to use the TVM Solver in the TI-84. Rewrote the 5.2 introduction and converted it into a new example on annuities.
Also added a note on why particular variables were chosen and that these variables may look different in other places. Revised Examples 4 and 5 for content and added technology. In 5.3, revised Example 5 to better explain amortization schedules. Chapter 6. Updated and added numerous exercises.
Chapter 7. Updated Examples in 7.1, 7.2, and 7.4 for content, data, and/or clarity. Added more explanation of independence to 7.5. Completely re-wrote the Extended Application at the end of the chapter. Chapter 8. Updated and added numerous exercises as well as an example in 8.5.
Chapter 9. Added many Technology Notes, including how to use the calculator to find probabilities, how to create a histogram, etc. Reorganized 9.1 into two parts (frequency distributions, central tendency) and added new headings for mean, median, and mode.
Also added new Example 9, comparing mean and median when outliers exist. Switched the emphasis of 9.3 from using the table in the back of the book to using a calculator. (We still use the table but all of the answers are from a calculator.) In that vein, we explain in great detail how to use the calculator to find the various probabilities, changing Examples 1, 2, and 4. Rewrote the introduction to 9.4 as an example and converted other exposition into a second example to better illustrate the concepts being described. Added a Technology Note to the second new example. Chapter 10. Added more explanation of powers of the transition matrix to 10.1.
Chapter 11. Revised the introductory material of 11.1 was revised to create a new Example 1. Added more explanation to Example 3 in 11.2. Table of Contents R. Algebra Reference R-1 Polynomials R-2 Factoring R-3 Rational Expressions R-4 Equations R-5 Inequalities R-6 Exponents R-7 Radicals 1. Linear Functions 1-1 Slopes and Equations of Lines 1-2 Linear Functions and Applications 1-3 The Least Squares Line Chapter Review Extended Application: Using Extrapolation to Predict Life Expectancy 2. Systems of Linear Equations and Matrices 2-1 Solution of Linear Systems by the Echelon Method 2-2 Solution of Linear Systems by the Gauss-Jordan Method 2-3 Addition and Subtraction of Matrices 2-4 Multiplication of Matrices 2-5 Matrix Inverses 2-6 Input-Output Models Chapter Review Extended Application: Contagion 3.
Linear Programming: The Graphical Method 3-1 Graphing Linear Inequalities 3-2 Solving Linear Programming Problems Graphically 3-3 Applications of Linear Programming Chapter Review Extended Application: Sensitivity Analysis 4. Linear Programming: The Simplex Method 4-1 Slack Variables and the Pivot 4-2 Maximization Problems 4-3 Minimization Problems; Duality 4-4 Nonstandard Problems Chapter Review Extended Application: Using Integer Programming in the Stock-Cutting Problem 5.
Mathematics of Finance 5-1 Simple and Compound Interest 5-2 Future Value of an Annuity 5-3 Present Value of an Annuity; Amortization Chapter Review Extended Application: Time, Money, and Polynomials 6. Logic 6-1 Statements 6-2 Truth Tables and Equivalent Statements 6-3 The Conditional and Circuits 6-4 More on the Conditional 6-5 Analyzing Arguments and Proofs 6-6 Analyzing Arguments with Quantifiers Chapter Review Extended Application: Logic Puzzles 7. Sets and Probability 7-1 Sets 7-2 Applications of Venn Diagrams 7-3 Introduction to Probability 7-4 Basic Concepts of Probability 7-5 Conditional Probability; Independent Events 7-6 Bayes' Theorem Chapter Review Extended Application: Medical Diagnosis 8. Counting Principles: Further Probability Topics 8-1 The Multiplication Principle; Permutations 8-2 Combinations 8-3 Probability Applications of Counting Principles 8-4 Binomial Probability 8-5 Probability Distributions; Expected Value Chapter Review Extended Application: Optimal Inventory for a Service Truck 9. Statistics 9-1 Frequency Distributions; Measures of Central Tendency 9-2 Measures of Variation 9-3 The Normal Distribution 9-4 Normal Approximation to the Binomial Distribution Chapter Review Extended Application: Statistics in the Law - The Castaneda Decision 10.
Markov Chains 10-1 Basic Properties of Markov Chains 10-2 Regular Markov Chains 10-3 Absorbing Markov Chains Chapter Review Extended Application: A Markov Chain Model for Teacher Retention 11. Game Theory 11.1 Strictly Determined Games 11.2 Mixed Strategies 11.3 Game Theory and Linear Programming Chapter Review Extended Application: The Prisoner's Dilemma - Non-Zero-Sum Games in Economics Table Area Under a Normal Curve Answers to Selected Exercises Photo Acknowledgements Index.
About the Author(s) 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 found 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. Greenwell earned a B.A. In Mathematics and Physics from the University of San Diego, and an M.S. In Statistics, an M.S.
In Applied Mathematics, and a Ph.D. In Applied Mathematics from Michigan State University, where he earned the graduate student teaching award in 1979. After teaching at Albion College in Michigan for four years, he moved to Hofstra University in 1983, where he currently is Professor of Mathematics. Raymond has published articles on fluid mechanics, mathematical biology, genetic algorithms, combinatorics, statistics, and undergraduate mathematics education.
He is a member of MAA, AMS, SIAM, NCTM, and AMATYC. He has served as governor of the Metropolitan New York Section of the MAA, as well as webmaster and liaison coordinator, and he received a distinguished service award from the Section in 2003. He is an outdoor enthusiast and leads trips in the Sierra Club’s Inner City Outings program. Ritchey earned a B.A. In Mathematics with a minor in Music from Mansfield University of Pennsylvania. He earned a M.S.
In Applied Mathematics and a Ph.D. In Mathematics from Carnegie Mellon University. He is former chair of the Department of Mathematics and Statistics at Youngstown State University and is currently a professor in the Department of Mathematics at Kent State University. He has published articles in economics, honors education, medicine, mathematics, operations research, and student recruitment. Nate is a Consultant/Evaluator for the North Central Association's Higher Learning Commission and regularly participates in program evaluations. In recognition of his numerous activities, Nate has received the Distinguished Professor Award for University Service, the Youngstown Vindicator's 'People Who Make a Difference Award,' the Watson Merit Award for Department Chairs, the Spirit in Education Award from the SunTex corporation, and the Provost's Merit Award for significant contributions to the Honors Program.
Key Message: Lial, Greenwell, and Ritchey continue their tradition of integrating relevant, realistic applications with current data sources to provide an application-oriented text for students majoring in business, management, economics, or the life or social sciences. The many opportunities for technology use allow for increased visualization and a better understanding of difficult concepts. In addition to MyMathLab®, a complete online course solution, a comprehensive series of video lectures is available for this text.
Key Topics: Algebra Reference, Linear Functions (shares with CWA, Brief, and Combo), Systems of Linear Equations and Matrices, Linear Programming: The Graphical Method, Linear Programming: The Simplex Method, Mathematics of Finance, Logic, Sets and Probability, Counting Principles: Further Probability Topics, Statistics, Markov Chains, Game Theory Market: For all readers interested in Finite Mathematics. 'synopsis' may belong to another edition of this title. About the Author: Marge Lial 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, is now affiliated with American River College.
Marge is an avid reader and traveler. Her travel experiences often find their way into her books as applications, exercise sets, and feature sets. She is particularly interested in archeology. Trips to various digs and ruin sites have produced 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. Raymond N. Greenwell earned a B.A. In Mathematics and Physics from the University of San Diego, and an M.S.
In Statistics, an M.S. In Applied Mathematics, and a Ph.D. In Applied Mathematics from Michigan State University, where he earned the graduate student teaching award in 1979. After teaching at Albion College in Michigan for four years, he moved to Hofstra University in1983, where he currently is Professor of Mathematics.
Raymond has published articles on fluid mechanics, mathematical biology, genetic algorithms, combinatorics, statistics, and undergraduate mathematics education. He is a member of MAA, AMS, SIAM, NCTM, and AMATYC. He is currently (2002-2005) governor of the Metropolitan New York Section of the MAA, as well as webmaster and liaison coordinator, and he received a distinguished service award from the Section in 2003. He is an outdoor enthusiast and leads trips in the Sierra Club’s Inner City Outings program. Nathan P. Ritchey earned a B.A.
In Mathematics with a minor in Music from Mansfield University of Pennsylvania. He earned a M.S. In Applied Mathematics and a Ph.D. In Mathematics from Carnegie Mellon University.
He is currently a Professor of Mathematics and Chair of the Department of Mathematics and Statistics at Youngstown State University. He has published articles in economics, honors education, medicine, mathematics, operations research, and student recruitment. Nate is a Consultant/Evaluator for the North Central Association's Higher Learning Commission and regularly participates in program evaluations. In recognition of his numerous activities, Nate has received the Distinguished Professor Award for University Service, the Youngstown Vindicator's 'People Who Make a Difference Award,' the Watson Merit Award for Department Chairs, the Spirit in Education Award from the SunTex corporation, and the Provost's Merit Award for significant contributions to the Honors Program. A father of four children, Nate enthusiastically coaches soccer and softball.
He also loves music, playing several instruments, and is a tenor in the Shenango Valley Chorale. More information about Nate Ritchey can be found at: 'About this title' may belong to another edition of this title.
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