M. Lial — Mathematics with Applications In the Management, Natural and Social Sciences (11th edition)

Автор: M. Lial
Название книги: Mathematics with Applications (11th edition)
Формат: PDF
Жанр: Математика
Страницы: 1005
Качество: Изначально компьютерное, E-book

Mathematics with Applications is an applications-centered text for students in business,
management, and natural and social sciences. It covers the basics of college algebra, followed
by topics in fi nite mathematics and concluding with a treatment of applied calculus.
The text can be used for a variety of different courses, and the only prerequisite is a basic
course in algebra. Chapter 1 provides a thorough review of basic algebra for those students
who need it. The newly added Prerequisite Skills Test (for Chapters 1–4) and Calculus
Readiness Test (for Chapters 11–14) at the front of the text can help determine where
remediation is needed for students with gaps in their basic algebra skills.
It has been our primary goal to present sound mathematics in an understandable manner,
proceeding from the familiar to new material and from concrete examples to general
rules and formulas. There is an ongoing focus on real-world problem solving, and almost
every section includes relevant, contemporary applications.
New to This Edition
With each revision comes an opportunity to improve the presentation of the content in a
variety of ways. This revision is no exception as we have revised and added content,
updated and added new applications, fi ne-tuned pedagogical devices, and evaluated and
enhanced the exercise sets. In addition, both the functionality of MyMathLab and the
resources within it have been greatly improved and expanded for this revision. These
improvements were incorporated after careful consideration and much feedback from
those who teach this course regularly. Following is a list of some of the more substantive
revisions made to this edition.
• Prerequisite 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 .
These two diagnostics can be used in a variety of ways, depending on the expectations and
goals of the course. The Prerequisite Skills Test assesses student understanding of the
core skills students should have prior to starting Chapter 1. The Calculus Readiness Test
is designed to diagnose any missing prerequisite algebra skills prior to starting Chapter 11.
Solutions are provided in the back of the text so students can self-remediate as needed,
saving valuable class time. Getting Ready quizzes in MyMathLab are also available as
automated versions of these diagnostics.
• Additional Figures: An additional six graphical fi gures were added to Section 2.2 to
help illustrate slope as part of writing the equation of a line.
• Quadratic Functions: In the previous edition, there were two separate sections ( 3.4
and 3.5 ) for quadratic functions and applications of quadratic functions. These two sections
have been consolidated into one section for ease of teaching.
• Implicit Differentiation and Related Rates: By popular demand, two sections have
been added: implicit differentiation and related rates. These sections include step-bystep
instructions for students to fi nd the derivative of an implicitly defi ned function and
to fi nd a rate of change given that two quantities are related to each other and also changing
over time. Examples and exercises include applications to business such as the rates
of change of the number of employees and revenue of a corporation.
• Case Studies: The popular culminating activities at the end of every chapter have been
expanded to provide options for extended projects for individual students or more
extensive group work. In addition, three of the case studies are completely new and five
have been updated signifi cantly.
• A careful and thorough review of the correlation between examples and exercises has
been completed to ensure that students have examples to refer to when working homework
exercises. A table at the start of the answers for the Review Exercises (in the
Answers to Exercises section in the back of the book) tells students in which section
each of the review exercises is covered.
• The MyMathLab course that accompanies this text has been markedly improved and
expanded to include even greater coverage of the topics in this course through more
exercises, videos, animations, and PowerPoint slides. In addition, answer tolerance
for exercises has been checked and adjusted when necessary, and prerequisite diagnostic
tools are available for personalized assessment and remediation. See the Supplements
portion of this preface for more details on MyMathLab.
• Annotated Instructor’s Edition : An invaluable resource for instructors, the Annotated
Instructor’s Edition (AIE) contains answers to the exercises right on the exercise set
page (whenever possible). In addition, Teaching Tips are included in the margins to
provide helpful hints for less experienced instructors.
• Graphing Calculator screen shots have been updated to represent the newest TI
calculator, the TI-84+ C. These visuals often prove valuable even to students not
using graphing calculators.
• The exercises are now better paired so that the even exercises require similar knowledge
as the corresponding odd exercise. In addition, approximately 21 percent of the 5,436
exercises in the text are new or updated.
• Approximately 22 percent of the 641 examples in the text are new or updated. Many
examples and exercises are based on real-world data.
• Student Learning Objectives for every section of the text are provided at the back of
the text. These objectives describe what students should understand and be able to do
after studying the section and completing the exercises.
• An Index of Companies, Products, and Agencies is provided to increase student interest
and motivation.
Continued Pedagogical Support
• Balanced Approach : Multiple representations of a topic (symbolic, numerical, graphical,
verbal) are given when appropriate. However, we 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.
• Strong Algebra Foundation: The text begins with four thorough chapters of college
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 the content in these chapters as needed so students
will be more successful with later topics and future courses.
• Real-Data Examples and Explanations: Real-data exercises have long been a popular
and integral aspect of this book. A signifi cant number of new real-data examples and
exercises have also been introduced into the text. Applications are noted with the type of
industry in which they fall so instructors or students can focus on applications that are
in line with students’ majors. (See pages 190–192.)
• T he Checkpoint Exercises (marked with icons such as  1 ) within the body of the text
provide an opportunity for students to stop, check their understanding of the specifi c
concept at hand, and move forward with confi dence. Answers to Checkpoint Exercises
are located at the end of the section to encourage students to work the problems before
looking at the answers. (See pages 184, 192.)
• Cautions highlight common student diffi culties or warn against frequently made
mistakes. (See page 204.)
• Exercises: In addition to skill-based practice, conceptual, and application-based exercises,
there are some specially marked exercises:
Writing Exercises (see page 216)
Connection Exercises that relate current topics to earlier sections (see pages 253 and 262)
Practice Exercises from previous CPA exams (see page 242), and
Technology Required Exercises (see page 263).
• 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 specifi c examples when they get
stuck on a problem. Later exercises leave this information out and provide opportunities
for mixed skill practice.
• End-of-chapter materials are designed to help students prepare for exams and include a
List of Key Terms and Symbols and Summary of Key Concepts , as well as a thorough
set of Chapter Review Exercises .
• Case Studies appear at the end of each chapter and offer contemporary, real-world and
up-to-date applications of some of the mathematics presented in the chapter. Not only
do these provide an opportunity for students to see the mathematics they are learning in
action, but they also provide at least a partial answer to the question, “What is this stuff
good for?” These have been expanded to include options for longer-term projects if the
instructor should choose to use them.