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Review of Intermediate Algebra
Editorial review
Text/workbook for low level and English as a second language
students. Uses applications of algebra to the real world throughout.
Annotation copyright Book News, Inc. Portland, Or. --This text
refers to an out of print or unavailable edition of this title.
Review of Imtermediate Algebra
Reviewed by a reader, from Milpitas,
California USA
This book is recommended for any guy looking to be on top of
the world of math. The book clearly and completely shows how
to go about solving problems. Every problem in the book is solved
in the back, step-by-step, not just giving the answers.also,
it also covers a wide array of topics.
Review of Interactive Math for Introductory Algebra
Editorial review
Key Benefit: Interactive Mathematics is an innovative new learning
system that covers the full series of developmental mathematics
in an interactive, multimedia environment. Interactive Math
uses animation, video, audio, graphics, and math tools to support
multiple learning styles. It is a program complete with instruction,
practice, applications, and assessment. Key Topics: Introduction
— A brief teaching statement directs the reader's attention
toward mastering a particular skill. A visual representation
of the skill is also presented. Read — Book with accompanying
audio (which may be disabled) addresses the needs of those who
feel more comfortable reading about the concepts and skills
before exploring or working problems. Watch — Visual learners
can watch and listen as example problems are worked out clearly
and completely by the author in a brief on-screen video. Explore
— This feature offers the most interactive learning experience
because one can master the skills and learn the concept through
discovery.
Reviewed by nancyeve, from Orange County,
CA United States
First, just to clarify, access to the on-line portion of this
workbook/CD is through the systems at Prentice Hall, via the
educational institution.The only reason I did not give this
5 stars is because they are still working out some of the software
bugs. A number of my classmates had problems running this program
on their computers at home, though I had virtually none. The
few problems I did have were just the sometimes slow response
times moving from the problem sets to the syllabus.Basically,
I loved using this program! The many options for learning on
the computer alone helped me to fly though this class. (As of
11/01 I am still in class but well on my way to receiving an
"A"). If I get stuck on a concept, there are many
options for working through it from being shown a brief video,
reading about it, or just being taken step by step through a
problem on which I am working. One finds out immediately if
their answer to a problem is right or wrong. If wrong, there
are several different ways of finding out why, and actually
being taken through THAT PROBLEM step by step in order to assist
in understanding the concept so that the next problem is done
with greater understandng and ease. All in all, I found the
learning process enhanced using this program. It was and is
an extremely valuable educational tool for me. We will, I am
told, be using a different program next year (Algebra II), I
think I will miss this one!
Reviewed by Joi Cardinal, from northern
California
I've never done well at math in high school or college, but
now that I'm re-entering college in my 40s, I really have to
learn it in order to succeed in biology and chemistry courses.
Thank heavens my local community college has adopted K. Elayn
Martin-Gay's phenomenal Interactive Math program as an online
course. The package consists of easy to install and very easy
to use software on a CD-ROM which communicates with Prentice
Hall's computer, a paperback textbook which contains all the
teaching material that is in the software as well as additional
problem sets and chapter tests for away-from-computer use, and
a detailed student handbook explaining the program and its use
as well as offering many valuable study skill tips. The software
is broken down by the chapter subheadings with each discrete
topic covered having its own section. Each section consists
of an introduction screen, then three different options for
learning that suit different learning styles. If one is most
comfortable with reading a traditional textbook, then the concept
can be learned that way. People who learn best by watching and
listening to an instructor can watch short video clips of Martin-Gay
explaining each concept. Those who are most comfortable with
experimenting with numbers will enjoy the explore option which
provides tools for playing with numbers and deducing the concepts
through the patterns of responses that emerge. Finally, each
section ends with a practice set of problems to check understanding,
then an assessment set of problems, the results of which are
then posted to the grade book which is accessed by the professor
for the class. Each chapter ends with a more lengthy test which
is also posted to the gradebook. I never thought I'd enjoy math
so much that I'd look forward to studying it, but this program
has made all the difference. Instead feeling totally lost and
only able to solve problems that are like the examples given
in the textbook, I'm now perceiving math to be fun puzzles that
are satisfying to work out. I sincerely hope the author goes
on to create additional programs for more advanced math work
in time for me to use them!
Review of Algebra: Tools for a Changing World
Reviewed by titasusan, from Fort Washington,
Maryland United States
This book is great for practice but practice only. The methods
on how to solve the problems are not explained.This book is
for practice and not to be confused as the textbook.
Review of Introductory Algebra
Editorial review
The second volume of a three-book series designed for students
with introductory algebra as a prerequisite of their course.
This edition emphasizes real-world applications of algebra,
and includes geometric applications and exercise and problem
sets.
Review of Experiencing Intermediate Algebra
Editorial review
A text for a one-semester course in intermediate algebra, designed
to help students model real-world situations, reason mathematically,
choose appropriate problem-solving methods, connect algebra
to other disciplines, and communicate mathematics. Concepts
are developed using numeric, graphic, algebraic, and verbal
approaches. Numeric presentation emphasizes tables of values,
either constructed manually or by using a calculator. Assumes
students have a TI-83 graphic calculator available. The authors
are affiliated with Pellissippi State Technical Community College.
-- Copyright © 2000 Book News, Inc., Portland, OR All rights
reserved
Review of Intermediate Algebra for College Students (5th Edition)
Editorial review
Angel's text is one that students can read, understand, and
enjoy. With short sentences, clear explanations, many detailed
worked examples, and outstanding pedagogy. Practical applications
of algebra throughout make the subject more appealing and relevant
for students. Key pedagogical features include: Preview and
Perspective at the beginning of each chapter; Helpful Hints;
Group Activities/Challenge Problems, Writing, exercises, Real-Life
Application Problems; and Calculator and Graphing Calculator
Corners. --This text refers to the Hardcover edition.
Reviewed by a reader, from NC United
States
I used this book to challenge my Intermediate Algebra course,
and I passed the exams. This book explain clearly the steps
to the questions.
Review of Intermediate Algebra Concepts and Applications with Algebra for College Students Sticker Package
Editorial review
Preface For the past half century many introductory differential
equations courses for science and engineering students have
emphasized the formal solution of standard types of differential
equations using a (seeming) grab-bag of mechanical solution
techniques. The evolution of the present text is based on experience
teaching a new course with a greater emphasis on conceptual
ideas and the use of computer lab projects to involve students
in more intense and sustained problem-solving experiences. Both
the conceptual and the computational aspects of such a course
depend heavily on the perspective and techniques of linear algebra.
Consequently, the study of differential equations and linear
algebra in tandem reinforces the learning of both subjects.
In this book we have therefore combined core topics in elementary
differential equations with those concepts and methods of elementary
linear algebra that are needed for a contemporary introduction
to differential equations. The availability of technical computing
environments like Maple, Mathematica, and MATLAB is reshaping
the current role and applications of differential equations
in science and engineering, and has shaped our approach in this
text. New technology motivates a shift in emphasis from traditional
manual methods to both qualitative and computer-based methods
thatrender accessible a wider range of more realistic applications;
permit the use of both numerical computation and graphical visualization
to develop greater conceptual understanding; and encourage empirical
investigations that involve deeper thought and analysis than
standard textbook problems. Major Features The following features
of this text are intended to support a contemporary differential
equations course with linear algebra that augments traditional
core skills with conceptual perspectives:The organization of
the book emphasizes linear systems of algebraic and differential
equations. Chapter 3 introduces matrices and determinants as
needed for concrete computational purposes. Chapter 4 introduces
vector spaces in preparation for understanding (in Chapter 5)
the solution set of an nth order homogeneous linear differential
equation as an n-dimensional vector space of functions, and
for realizing that finding a general solution of the equation
amounts to finding a basis for its solution space. (Students
who proceed to a subsequent course in abstract linear algebra
may benefit especially from this concrete prior experience with
vector spaces.) Chapter 6 introduces eigenvalues and eigenvectors
in preparation for solving linear systems of differential equations
in Chapters 7 and 8. In Chapter 8 we may go a bit further than
usual with the computation of matrix exponentials. These linear
tools are applied to the analysis of nonlinear systems and phenomena
in Chapter 9. We have trimmed the coverage of certain seldom-used
topics and added new topics in order to place throughout a greater
emphasis on core techniques as well as qualitative aspects of
the subject associated with direction fields, solution curves,
phase plane portraits, and dynamical systems. To this end we
combine symbolic, graphic, and numeric solution methods wherever
it seems advantageous. A healthy computational flavor should
be evident in figures, examples, problems, and projects throughout
the text. Discussions and examples of the mathematical modeling
of real-world phenomena appear throughout the book. Students
learn through modeling and empirical investigation to balance
the questions of what equation to formulate, how to solve it,
and whether a solution will yield useful information. Students
also need to understand the role of existence and uniqueness
theorems in the subject. While it may not be feasible to include
proofs of these fundamental theorems along the way in a elementary
course, students need to see precise and clear-cut statements
of these theorems. We include appropriate existence and uniqueness
proofs in the appendices, and occasionally refer to them in
the main body of the text. Computer methods for the solution
of differential equations and linear systems of equations are
now common, but we continue to believe that students need to
learn certain analytical methods of solution (as in Chapters
1 and 5). One reason is that effective and reliable use of numerical
methods often requires preliminary analysis using standard elementary
techniques; the construction of a realistic numerical model
often is based on the study of a simpler analytical model. We
therefore continue to stress the mastery of traditional solution
techniques (especially through the inclusion of extensive problem
sets). Computational Flavor The following features highlight
the computational flavor that distinguishes much of our exposition.
About 250 computer-generated graphics—over half of them
new for this version of the text, and most constructed using
MATLAB—show students vivid pictures of direction fields,
solution curves, and phase plane portraits that bring symbolic
solutions of differential equations to life. Over 30 computing
projects follow key sections throughout the text. These "technology
neutral" project sections illustrate the use of computer
algebra systems like Maple, Mathematica, and MATLAB, and seek
to actively engage students in the application of new technology.
A fresh numerical emphasis that is afforded by the early introduction
of numerical solution techniques in Chapter 2 (on mathematical
models and numerical methods). Here and in Section 7.6, where
numerical techniques for systems are treated, a concrete and
tangible flavor is achieved by the inclusion of numerical algorithms
presented in parallel fashion for systems ranging from graphing
calculators to MATLAB. A conceptual perspective shaped by the
availability of computational aids, which permits a leaner and
more streamlined coverage of certain traditional manual topics
(like exact equations and variation of parameters) in Chapters
1 and 5. Applications To sample the range of applications in
this text, take a look at the following questions:What explains
the commonly observed time lag between indoor and outdoor daily
temperature oscillations? (Section 1.5) What makes the difference
between doomsday and extinction in alligator populations? (Section
2.1) How do a unicycle and a two-axle car react differently
to road bumps? (Sections 5.6 and 7.4) Why might an earthquake
demolish one building and leave standing the one next door?
(Section 7.4) Why might an eartquake demolish one building and
leave standing the one next door? (Section 7.4) How can you
predict the time of next perihelion passage of a newly observed
comet? (Section 7.6) What determines whether two species will
live harmoniously together, or whether competition will result
in the extinction of one of them and the survival of the other?
(Section 9.3) Organization and Content The organization and
content of the book may be outlined as follows:After a precis
of first-order equations in Chapter 1—with a somewhat
stream-lined coverage of certain traditional symbolic methods—Chapter
2 offers an early introduction to mathematical modeling, stability
and qualitative properties of differential equations, and numerical
methods. This is a combination of topics that ordinarily are
dispersed later in an introductory course. Chapters 3 (Linear
Systems and Matrices), 4 (Vector Spaces), and 6 (Eigenvalues
and Eigenvectors) provide concrete and self-contained coverage
of the elementary linear algebra concepts and techniques that
are needed for the solution of linear differential equations
and systems. Chapter 6 concludes with applications of diagonizable
matrices and a proof of the Cayley-Hamilton theorem for such
matrices. Chapter 5 exploits the linear algebra of Chapters
3 and 4 to present efficiently the theory and solution of single
linear differential equations. Chapter 7 is based on the eigenvalue
approach to linear systems, and includes (in Section 7.5) the
Jordan normal form for matrices and its application to the general
Cayley-Hamilton theorem. This chapter includes an unusual number
of applications (ranging from railway cars to earthquakes) of
the various cases of the eigenvalue method, and concludes in
Section 7.6 with numerical methods for systems. Chapter 8 is
devoted to matrix exponentials with applications to linear systems
of differential equations. The spectral decomposition method
of Section 8.3 offers students an especially concrete approach
to the computation of matrix exponentials. Our treatment of
this material owes much to advice and course notes provided
by Professor Dar-Veig Ho of the Georgia Institute of Technology.
Chapter 9 exploits linear methods for the investigation of nonlinear
systems and phenomena, and ranges from phase plane analysis
to applications involving ecological and mechanical systems.
Chapters 10 treats Laplace transform methods for the solution
of constant-coefficient linear differential equations with a
goal of handling the piecewise continuous and periodic forcing
functions that are common in engineering applica
Review of HBJ Algebra 1
Reviewed by Tom, from Boston
Excellent no nonsense book BUT I did find a couple errors that
will drive students nuts...page 303 top, 3 not right.page 150
and 151, numbers 22 and 38 can not be solved. I actually got
the author on the phone who said "the answer is the empty
set" which in my opinion just means that the author goofed
and made problems that couldn't be solved.This far exceeds all
other algebra books I've seen. Old but still excellent.
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