Margaret Lial – Finite Mathematics and Calculus with Applications (9th edition)

Автор: Margaret Lial
Название книги: Finite Mathematics and Calculus with Applications (9th edition)
Формат: PDF
Жанр: Математика
Страницы: 1141
Качество: Изначально компьютерное, E-book

Finite Mathematics and Calculus with Applications is a thorough, application-oriented text for
students majoring in business, management, economics, or the life or social sciences. In
addition to its clear exposition, this text consistently connects the mathematics to career and
everyday-life situations. A prerequisite of two years of high school algebra is assumed. A
renewed focus on quick and effective assessments, new applications and exercises, as well as
other new learning tools make this 9th edition an even richer learning resource for students.
Our Approach
Our main goal is to present finite mathematics and applied calculus in a concise and
meaningful way so that students can understand the full picture of the concepts they are
learning and apply it to real-life situations. This is done through a variety of ways.
Focus on Applications Making this course meaningful to students is critical to their
success. Applications of the mathematics are integrated throughout the text in the exposition,
the examples, the exercise sets, and the supplementary resources. Finite Mathematics and
Calculus with Applications presents students with a myriad of opportunities to relate what
they’re learning to career situations through the Apply It questions, the applied examples, and
the Extended Applications. To get a sense of the breadth of applications presented, look at
the Index of Applications in the back of the book or the extended list of sources of real-world
data on www.pearsonhighered.com/mathstatsresources.
Pedagogy to Support Students Students need careful explanations of the mathematics
along with examples presented in a clear and consistent manner. Additionally students and
instructors should have a means to assess the basic prerequisite skills. This can now be done
with the Prerequisite Skills Diagnostic Test located just before Chapter R. In addition, the students
need a mechanism to check their understanding as they go and resources to help them
remediate if necessary. Finite Mathematics and Calculus with Applications has this support
built into the pedagogy of the text through fully developed and annotated examples, Your
Turn exercises, For Review references, and supplementary material.
Beyond the Textbook Students today take advantage of a variety of resources and delivery
methods for instruction. As such, we have developed a robust MyMathLab course for Finite
Mathematics and Calculus with Applications. MyMathLab has a well-established and welldocumented
track record of helping students succeed in mathematics. The MyMathLab
online course for Finite Mathematics and Calculus with Applications contains over 6700 exercises
to challenge students and provides help when they need it. Students who learn best by
seeing and hearing can view section- and example-level videos within MyMathLab or on the
book-specific DVD-Rom. These and other resources are available to students as a unified and
reliable tool for their success.
New to the Ninth Edition
Based on the authors’ experience in the classroom along with feedback from many
instructors across the country, the focus of this revision is to improve the clarity of the
presentation and provide students with more opportunities to learn, practice, and apply
what they’ve learned on their own. This is done in both the presentation of the content and
in new features added to the text.

New and Revised Content
• Chapter R The flow of the material was improved by reordering some exercises and
examples. Exercises were added to Section R.1 (on performing algebraic operations) and
Section R.5 (on solving inequalities).
• Chapter 1 Changes in the presentation were made throughout to increase clarity, including
adding some examples and rewriting others. Terminology in Section 1.2 was adjusted
to be more consistent with usage in economics.
• Chapter 2 Section 2.1 was changed so that only systems of two equations are solved by
the echelon method, while systems with three or more equations are solved using the
Gauss-Jordan method in Section 2.2. The discussion of subtraction of matrices in Section 2.3
was simplified.
• Chapter 3 The concept of bounded and unbounded regions was moved from Section 3.2
to Section 3.1, where such regions are first encountered. An Extended Application on sensitivity
analysis was added to this chapter.
• Chapter 4 Exercises 25 through 30 in Section 4.1 were modified to clarify the role of slack
variables. Exercise 30 in Section 4.2 was modified to amplify how multiple solutions may
occur. The method for handling ties in nonstandard problems in Section 4.4 was improved.
• Chapter 5 In Section 5.1, 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,
an example and accompanying exercises were added on how a loan can be paid off early.
• Chapter 6 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 licenses, and marriage, and warranty references cover
iPhones and eBay. In Section 6.5, applications were revised to give more diversity in topics.
• Chapter 7 Empirical probability was moved from Section 7.4 to 7.3 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. The introduction
to Bayes’ Theorem was rewritten for brevity and clarity in Section 7.6.
• Chapter 8 The notation for combinations was changed from to to be more
current and consistent with our notation throughout the book. Section 8.3 now includes an
example illustrating probabilities using permutations and the multiplication principle.
• Chapter 9 In Section 9.1, a new example was added illustrating a case in which the
median is a truer representation of data than the mean.
• Chapter 10 The material in Section 10.1 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 In Section 11.1, 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 the definition and
example of continuity has been revised using a simple process to test for continuity. The
opening discussion of Section 11.5, showing how to sketch the graph of the derivative
given the graph of the original function, was rewritten as an example.
• Chapter 12 The introduction to the chain rule was rewritten as an example in Section 12.3.
Exercise topics were revised to cover subjects such as worldwide Internet users, online
learning, and the Gateway Arch.
• Chapter 13 In Section 13.1, 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 Changes in the presentation were made throughout to increase clarity and
exercise sets were rearranged to improve progression and parity.
• Chapter 15 The social sciences category of exercises was added to Section 15.1, 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 to
enable students to follow the substitution more easily.
• Chapter 16 In addition to exercises based on real data being updated, examples in this
chapter were changed for pedagogical reasons.
• Chapter 17 Graphs generated by Maple™ were added to Examples 2 and 4 in Section 17.3
to assist students in visualizing the concept of relative extrema. Material covering utility
functions was added to Section 17.4. Many of the figures of three-dimensional surfaces were
improved to make them clearer and more attractive.
• Chapter 18 In Section 18.2, 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.
Prerequisite Skills Diagnostic Test
The Prerequisite Skills Diagnostic Test gives students and instructors a means to assess the
basic prerequisite skills needed to be successful in this course. In addition, the answers to the
test include references to specific content in Chapter R as applicable so students can zero in
on where they need improvement. Solutions to the questions in this test are in Appendix A.
More Applications and Exercises
This text is used in large part because of the enormous amounts of real data used in examples and
exercises throughout the text. This 9th edition will not disappoint in this area. We have added or
updated more than 20% of the applications and 32% of the examples throughout the text and
added or updated more than 600 exercises.
Reference Tables for Exercises
The answers to odd-numbered exercises in the back of the textbook now contain a table
referring students to a specific example in the section for help with most exercises. For the
review exercises, the table refers to the section in the chapter where the topic of that exercise
is first discussed.
Annotated Instructor’s Edition
The annotated instructor’s edition is filled with 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 along with + symbol next to the most challenging
exercises to make assigning and checking homework easier.