College Algebra & Trigonometry
Richard W. Beveridge
Copyright Year: 2018
Publisher: Richard W. Beveridge
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The text book provides a very uniform platform for the topics included in a most Community College Algebra and Trigonometry class. Topics are organized in the increasing matter of difficulty ending at an intermediate level of learning. Most... read more
The text book provides a very uniform platform for the topics included in a most Community College Algebra and Trigonometry class. Topics are organized in the increasing matter of difficulty ending at an intermediate level of learning. Most important is the glossary of terms making it simple for students to use to find the topics.
The content for this book matches the learning outcomes with two exceptions for our community college Precalculus and trigonometry classes. Having taught the courses for many years, upon a close observation, I did not find any inaccuracy.
For now the problems in the book are up-to-date and relevant however as newer edition are printed, I would like to see some inclusion of real world problems relating to climate change such as calculation of wind power , savings on using the solar panels etc. Also a chapter on Systems of Linear Equations; Using Matrices and Partial Fractions Decomposition
Language is simple yet effective and easily understood. Math terms can be hard to explain and understand especially for the community college students, videos are ok but they can be supplemented by other easily accessible video sites especially for an online course
Topics are easily built upon each other and easy to refer back to without having to click a lot.
As stated above, a streamlined flow of the topic lends to building the modules with closely related topics. Objectives listed at the end do match our objectives so it is easy to refer to without taking anything out.
Like topics are closely arranged so they can be grouped into learning units or modules without jumping back and forth makes it easy to create a streamlined course.
For an online course, book provides an easy ADA approach to build the course using the QM guidelines.
I did not find any such errors.
This Algebra and Trigonometry text book does not offend me, nor any of my students, some have even stated that it cleared up certain questions they had.
I look forward to additional up dates to this text which I know will be a great help to three future OER courses and online courses here at the Community College.
The author has covered everything that is in the standard College Algebra scope and sequence, the standard College Algebra that does not include trigonomtry. An Answer Key is provided at the end of the book covering the answers to all odd numbered... read more
The author has covered everything that is in the standard College Algebra scope and sequence, the standard College Algebra that does not include trigonomtry. An Answer Key is provided at the end of the book covering the answers to all odd numbered problems.
I read through the entire PDF text and did not find a single error. Note that I did not work all examples, but at least one from every section in the book.
It should indeed be easy to make updates, though I do not see it as being very likely that this will be necessary. The author has very nicely integrated the history of mathematics into the narrative explanations of problems. It makes for pretty good reading actually. Beveridge does a nice job of also including programming in some sections - for example, a short program on the TI calculators for finding solutions using the quadratic formula.
The writing is clear and concise. The text is a bit dry containing almost no diagrams, but the author has written all sections very much like one would lecture using scaffolding to make each progressive concepts more complicated to get the student to the level needed to do algebra in calculus.
Again, I looked through all sections of the book. Not only is the author consistent with terminology, but he does a very nice job of show students how the algorithms we have all learned in K-12 grades also apply to the algorithms in College Algebra. One such example, of many, is in Section 2.6, teaching polynomial division using a model from integer long division.
Although the sequence Beveridge uses is a bit unconventional, his division of the topics into sections that nicely build on each other, and are not overwhelming. A student should be able to sit down and read any given section, working through the examples, in an hour or so. He is very consistent in show steps within problems, and remarking on skills that were covered earlier in the book.
As mentioned above, Beveridge's scope and sequence is a bit different than most College Algebra text books, but I like it, and can see why he has arrange the topics in the order he did. It works.
No problems what so ever. The graphs are simple, but beautifully not cluttered.
I only found a couple small typos in the entire book. It seems very well edited.
Nothing insensitive or offensive. The author has done a wonderful job of bringing math historical references into the instruction from a large variety of cultures.
I have been thinking about making an OER adoption for my College Algebra classes. I can see using this book and creating a successful learning environment for my students.
Table of Contents
- 1 Algebra Review
- 2 Polynomial and Rational Functions
- 3 Exponents and Logarithms
- 4 Functions
- 5 Conic Sections - Circle and Parabola
- 6 Sequences and Series
- 7 Combinatorics
- 8 Right Triangle Trigonometry
- 9 Graphing the Trigonometric Functions
- 10 Trigonometric Identities and Equations
- 11 The Law of Sines The Law of Cosines
About the Book
This College Algebra text will cover a combination of classical algebra and analytic geometry, with an introduction to the transcendental exponential and logarithmic functions. If mathematics is the language of science, then algebra is the grammar of that language. Like grammar, algebra provides a structure to mathematical notation, in addition to its uses in problem solving and its ability to change the appearance of an expression without changing the value.
About the Contributors
Richard W. Beveridge