Edition experience functioning in precalculus real second world
Constructing solutions of first order difference equations. Modeling with first order, non-homogeneous difference equations. Solving the Fibonacci and other second order difference equations. Pearson offers affordable and accessible purchase options to meet the needs of your students. Connect with us to learn more. We're sorry! We don't recognize your username or password. Please try again. The work is protected by local and international copyright laws and is provided solely for the use of instructors in teaching their courses and assessing student learning.
You have successfully signed out and will be required to sign back in should you need to download more resources. Out of print. Sheldon P. If You're an Educator Download instructor resources Additional order info. Again, the organization of pre-calculus is fairly standard across texts, and this text does not stray away from the herd. There are certainly no interface issues. I feel that the online view could take advantage of more features hyperlinks, for example but I understand the desire for consistency between the pdf version and the online version.
I understand the importance of cultural inclusion, but in a math textbook there's not much to judge here. I think it's a very good, student-centric book. I imagine some professors will lament the lack of rigor, but I think that was an intentional choice made for ease of reading for the target audience. The instructor can add rigor as desired.
See the topics covered under "Elementary Functions Precalculus " which refers back to the tables Comprehensiveness rating: 5 see less. See the topics covered under "Elementary Functions Precalculus " which refers back to the tables of contents for College Algebra and Trigonometry. Therefore this text is very suitable for helping two-year community college students articulate with the third year at a four-year public university's Calculus I course.
It is also compatible with a private university's precalculus and later calculus sequence. The text is mathematically correct and complete. Its rigor is communicated clearly and simply, even "conversationally," to all students, but is suitable for STEM majors as well. The actual mathematical content as such should not change much. However, mathematical modeling problems "story problems," "applications" are in a variety that represent daily adult life, post-college careers, various majors other than mathematics such as science, health, ecology, and medicine for example.
These examples are fairly applicable in a non-dated, but modern vein. It is a text which students can learn from in its simplicity, clarity, and logic, and conversational tone, while maintaining mathematical correctness and completeness. An important element of consistency is how well a text develops topics in a developmental sequence that builds from topic to topic. This text has a good topic sequencing in that fashion.
It can be organized in modules as long as necessary topic sequencing is maintained. For example, jumping into the topic in vectors concerning the angle between two vectors should honor the necessary trigonometry needed to built that topic upon. There are appropriate subheadings to signal the student as to the organization and connections being made under a new subheading with previous subheaded topics. This is topic sequencing, and I have mentioned that this text maintains a logical, developmental topic sequencing structure.
I've mentioned its simple and clear explanations while maintaining mathematical accuracy and completeness. In my opinions diagrams and charts are well-placed and referenced as needed in text discussions of a topic.
I have taught the trigonometry portion of this text, which is in Chapters , and a portion of introductory calculus in Chapter 12, and found no such errors. I did not detect any distracting or blatant biases in any examples or discussions of any "culturally insensitive" or "offensive" nature at all, or in the nature of any social or ethnic exclusiveness of any kind.
Whenever I have reviewed either new textbooks or revisions of current textbooks for remuneration by a publisher, I have followed my practice of looking for the following for strengths or weaknesses.
I ask if the text: 1. This text has all five. I have enjoyed teaching with it and helping students through reading and learning from the text as well. Overall very good selection of topics, coherent, includes many engaging visual features and excellent real world applications. Definitely good up-to-date applications and approaches. The text is written in a way that the updates will be easy to implement if necessary. Very clear writing style. Formal when necessary and good examples and illustrations to make concepts more accessible for the students.
The text is consistent throughout. The content is well organized, presented in a coherent way. Terminology is consistent. This text is designed to be modularized.
Most Precalculus courses will not cover all of the topics from this text but will cover a subset of these and the text is written with the goal to accommodate that. Rearranging the order of topics could be an issue because of the hierarchical structure of mathematics in general. The text is organized in a way that I would structure my own Precalculus course.
Topics are presented in a logical and clear fashion. I did not find any navigation problems or issues with visual features. The material flows smoothly and the presentation is very user friendly. Examples are inclusive and carefully chosen. I did not see anything that could be offensive in any way.
Very good overall. As I mentioned above, this book probably has more than most of us can fit into our typical Precalculus course but it is certainly not missing anything and could be easily customized. I used Sullivan's Calculus 9e as a standard for comparisons. The book is very similar in scope and sequencing to Sullivan, but does group some topics differently.
For example, Sullivan combines linear and quadratic functions into one short For example, Sullivan combines linear and quadratic functions into one short chapter while this text dedicates a long chapter solely to linear functions and uses that space to develop them more coherently. Sullivan pulls together some topics into an appendix as a review while this text does not. However, this text develops much of that material in context, which I prefer. Both give a brief, but useful few pages of formulas, identities, and standard functions.
Each chapter reviews key-concepts and has a glossary of terms. There is an index which seems adequate though it is considerably smaller than Sullivan's. I saw nothing that would make me doubt the accuracy of the material. The text lists about 50 credentialed content reviewers including faculty and teachers. Problem solutions seem accurate and well developed.
This text is a standard presentation of the material drawing references from travel by car, psychology, engineering, biology, physics, and economics, which seems typical. It would be nice to see more application in computer programming and data analysis and to simulations. There is nothing faddish about its content or presentation. A few cultural references may become dated but could easily be updated as they are isolated and not threaded through the material.
This text uses standard academic English, but seems less formal than Sullivan. For example, it avoids archaic constructions like "we first develop", "we first look at", and "let us investigate", which I find stultifying in Sullivan. It is well written and lucid and takes space, I feel, to develop material more naturally than Sullivan. For example, it develops the techniques for graphing and analyzing linear equations in context rather than in an appendix.
For another, it introduces complex numbers in the context of polynomial functions, a natural place, by discussing the way mathematics has grown, while Sullivan introduces the topic ad hoc as an example of using rectilinear and polar coordinates but refers students to an appendix, with a more formal presentation. The text develops the standard terminology around functions, models, and graphing consistently.
Technical terms are introduced in boldface in the body of the text and then defined more formally in easy to locate text-boxes. It introduces standard notations well and uses them consistently. This one is especially nice since it is available for Windows, Mac, and Linux, but also as an iPhone and Android app.
If you have a cell phone, Free42 may well meet your hand-held calculator needs. A manual for Free42 is available here. Sage is useful all the way from high school math through university and professional level mathematics. Many of the tutorials available online are aimed at university level mathematics and might overwhelm Precalculus mathematics students. I have therefore recorded a short introduction to Sage that covers most of the needs of this course and posted it to YouTube.
You can watch it here. For practice you can access the Sage file shown in the video and interact with it directly here: Zip file of the Sage file shown in the video. Download this file, then unzip it to your desktop. Start Sage, then upload the sws file into Sage. Linda Fahlberg-Stojanovska has created a number of Sage video tutorials at a simple level that are relevant to a number of the topics in this course.
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