Since the topics of chapter 4 use the material in chapter 2, it would seem more logical to flip these chapters, or integrate the applications with the techniques in chapter 2.
The navigation of the links in the index and in the actual text appear to be functional. The images and other displays seem appropriate. I did not spot grammatical errors in the text. However, there are several typos in the Table of Contents. There were not many errors spotted in the actual text, but when the table of contents has errors, that appears very grim to the reader.
Much of this book is great, but it is unfortunately not sufficient for our first-semester differential equations course. The text would need modifications to include all the appropriate content and applications. Personally, the colored subsections in red make the subsections blend into the rest of the text.
This may be a problem if printed, and may be difficult for color-blind readers. Additionally, the first chapter has few problems compared with the later sections, and it seems that would be a good place for many problems, as it is the students' introduction to the content.
The errors seem particularly confusing in the table of contents, and I would like to see those fixed. Despite all those comments, this author has presented several concepts in an enlightening manner that I think will be beneficial to students. Variation of parameters and integrating factor in particular.
I would certainly consider modifying this text with attribution to use sections of it in a differential equations course. There are a lot of good problems throughout the text, and good examples. With 13 chapters covering standard topics of elementary differential equations and boundary value problems, this book contains all materials you need for a first course in differential equations.
Given the length of the book with pages, the I believe that materials from Chapter 1 to Chapter 10, except possibly Chapter 7, should be covered in the course, while the last three chapters could serve as additional reading materials for students.
As the book covers standard topics of differential equations and boundary value problems, the contents of the book will continue to serve students for a long period of time. This is great for the future use of the book given that technology is rapidly changing. Topics of the book are divided into small sections of appropriate lengths. A brief overview of the topics to be covered in each chapter is presented at the beginning of each chapter.
This is very convenient for both instructors and students to read. I highly recommend this book for a first course in differential equations. It is also an excellent choice for a sequence of two courses in introductory differential equations and partial differential equations. I read another textbook by this author and I like both of the books. I'm going to hedge this review by confessing that I am not a specialist, either by training or by inclination, in differential equations.
I know the subject well enough to teach it well to undergraduates, but I don't consider myself to say I know the subject well enough to teach it well to undergraduates, but I don't consider myself to say authoritatively that any textbook of differential equations, in particular, this one, prepares the student well for further studies. So, the reason I give it a 4, instead of a 5, is that 1 is the degree of my own uncertainty about its comprehensiveness.
I've taught introduction to differential equations using this text twice now. Both times I covered at least the first 5 chapters. Among that material I found no errors. I imagine that the rest of the book is as tight.
Again, I do not specialize in differential equations, so, take my take on this with at least a grain of salt. But as far as I can tell, any math major who learns differential equations from Professor Trench's text will be well prepared for the mathematics which comes next. I think this book is organized as well as or better than any other text I've used in my nearly 30 years of teaching. This is not to say, however, that it could not be improved. There is a tension between organizing the introduction to a subject into bins based on its parts similarities and organizing it into parts based on what one can cover in a class meeting or two.
I think this text favors the former over the latter. This may or may not be right for you. Choose accordingly. I noticed no grammatical errors in the first six chapters. There may be some, but they are not glaring. Examples are not culturally insensitive. On the contrary. I've taught a diverse group of students from this text and have received no complaints. They may exist, but I don't think they are glaring. Good text.
If you, like me, are working at a college which serves, principally, poor students, this is text is a good choice. It covers what they need to know for future courses, it offers interesting supplemental material and the exercises represent a wide range of difficulty. Next time I teach Diff Eq, I'll, again, be using this text.
This a complete book for an introductory differential equations course. It has everything you want and more. This is an excellent professional standard textbook.
The author clearly developed this product with careful thought and meticulous detail. The textbook does not highlight specific software, which I wish it did at times, but it also makes it timeless as the content will not age. I think this is an excellent book with a narrative explanation style that makes things both clear and precise when need be.
The author went to great lengths to use language relatable to students at this level. I found other textbook options were either too basic or too complex. This one is excellently written and by far my top choice. Terminology is very consistent throughout.
The author goes to great length to connect sections for smooth transitions. The author had a very clear flow and organization with a desire to integrate ideas as he goes along. Excellent textbook.
One area not mentioned here that is relevant are homework exercises. There is an extensive set of exercises of vary degrees of difficulty with a comprehensive student solution manual. The text adequately covers the topics expected in an introduction to differential equations textbook.
It seems to be quite comparable to other intro to ODE books that I've seen ones that students pay a lot of money to use. A couple of A couple of differences between this book and others are the use of variation of parameters, which is introduced early and used throughout the book, and the separation of application problems into their own chapters. Separating the application problems allows for instructors to skip these chapters if they wish.
My personal preference is to integrate them into the other chapters, but separating them is a valid choice. A comprehensive index is included, and I particularly like that page numbers in the index are links to those pages in the text.
I have not, yet, used the text to teach a semester-long course, so don't feel prepared to answer this at this point. However, I looked closely at a couple of the chapters and found the content to be accurate. The content of this course has been the same for many, many years, and I don't see it changing in the near future. That being said, some nice application problems are included in the text that are relevant to today's students. On another note, I know that some instructors feel strongly that technology should be included in a differential equations course, while others feel just as strongly that it should not.
The author does a nice job of providing an adequate number of problems that don't require students' use of technology, while providing several others that do. These are marked clearly in the text so that the instructor can know at a glance. The author claims that the text was written so that students can easily read it and states that he erred on the side of caution when deciding how much detail to include in other words, the author claims that lots of details are provided, making it an easy text for students to read.
I agree that it isn't difficult to read, but I would actually have liked to see it written at an even more elementary level. From my own teaching experience, I can firmly say that this is not obvious to students at the beginning of a course. There are similar statements throughout as well as statements about things they "know" from their calculus classes. I don't think this is a fatal flaw in the book; proper instruction during class time can address these common student questions.
However, I would have preferred to see more details provided in the first few chapters. Since I have not read the entire book, I don't feel qualified to answer this definitively, but the chapters that I read carefully and the chapters that I've skimmed seem to be consistent.
There are 13 chapters, broken into smaller subsections. They seem to be appropriately named and are standard for intro to ODE books. The text is organized in a clear fashion. The preface to the book nicely clarifies which chapters can be rearranged. For example, the book is written so that Fourier Solutions and Boundary Value Problems Chapters 11, 12, and 13 can be covered in any order, as long as Chapter 5 Linear Second Order Equations is covered first.
The book has no interface issues that I noticed. Navigation was fairly easy, with some links to exercises as well as links to information on Wikipedia. My only trouble was when I clicked on one of these links, it wasn't always easy to go back to where I had been in the text.
I later learned how to view the table of contents on the left side of my screen at all times, so this made this much easier. As mentioned earlier, I particularly like that the page numbers in the index are all links to those pages. The text gives a very thorough treatment of the topics in a traditional beginning course in ODE. The topics are completely in line with the topics in the traditional course such as our Engineering Math IV Differential Equations.
I don't envision changes in the basic material any time soon. The book is very well written. The most difficult thing for an instructor will be in selection the portions of the text to include in a course. There is more there than can be carefully treated in one course.
The book was not written as electronic materials. While the. But it is not modular and there is no "back" button for links. This is a general weakness of this technology. It's fine. The questions here should have been: How's the math? At a student level, the mathematical presentation is pretty good. Some instructors may want it to include proofs of things like existence and uniqueness, but I'd say the author made sound choices of what to omit and what to include.
Elementary Differential Equations with Boundary Value Problems is written for students in science, engineering, and mathematics who have completed calculus through partial differentiation. Although I believe that the computer is an immensely valuable tool for learning, doing, and writing mathematics, the selection and treatment of topics in this text reflects my pedagogical orientation along traditional lines.
However, I have incorporated what I believe to be the best use of modern technology, so you can select the level of technology that you want to include in your course. There are also 73 laboratory exercises — identified by L — that require extensive use of technology.
In addition, several sections include informal advice on the use of technology. If you prefer not to emphasize technology, simply ignore these exercises and the advice. William F. Trench, PhD. Andrew G. Still University Language: English. Content Accuracy rating: 5 I could not find the error in the contents when reading the book.
Clarity rating: 5 The author's description is clear and makes the student understand easily. Consistency rating: 5 Almost all are correct and concise. Modularity rating: 4 Every content was clear and transparent. Interface rating: 4 I do not know exactly but I felt the text size was small and the spacing was a little bit narrow.
Grammatical Errors rating: 5 I could not find the grammatical errors. Cultural Relevance rating: 5 Usually, the math books are neutral and do not have personal biased thoughts. Comments I liked to use the book when teaching the differential equation course. Content Accuracy rating: 5 All content I read is error free. Clarity rating: 5 Great explanations. Consistency rating: 5 I have not found any inconsistencies.
Modularity rating: 5 I believe this text was originally published by a "typical" textbook publisher and so has a very detailed level of organization. Interface rating: 5 The pdf version contains clickable links in the textbook that jump to the page where there is a specific image or example. Grammatical Errors rating: 5 I have not noticed any grammatical errors thus far.
Cultural Relevance rating: 5 Again, I have not noticed any issues on this front. Comments I am excited to try this book in Fall Content Accuracy rating: 5 This text appears to be accurate, well-written, and error-free.
Clarity rating: 4 The terminology that is used in the text is explained and the definitions are clear. Consistency rating: 5 The author uses consistent notation and vocabulary. Modularity rating: 5 The material is presented in sections of reasonable length each focused on a well defined topic. Interface rating: 5 I did not notice any interface issues. Grammatical Errors rating: 5 I found no grammatical errors. Cultural Relevance rating: 5 This is a textbook on basic differential equations.
There is not cultural context to discuss. Content Accuracy rating: 5 No content inaccuracies were found. Clarity rating: 4 Most of the material is presented very well. Consistency rating: 4 The author has been mostly consistent in language and framework.
Modularity rating: 5 The text appears modular. Interface rating: 5 The navigation of the links in the index and in the actual text appear to be functional. First product include four Solution Manuals. One file for 11th edition which include all chapters. One is in Persian language for 6th edition. Two others are in English language for 7th and 8th Edition.
Second product contain two Solution Manual for 9th edition. One solution manual for student and another for instructor. Each of Solution Manuals for 9th edition include all chapters of textbook chapters 1 to There is one PDF file for each of chapters in both of solution manuals.
File Specification for 9th Edition. File Specification for 6th Edition in Persian language.
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