This book contains all of the topics and material you would expect to see in a first calculus course. Our curriculum also includes numerical integration, which is in the corresponding Calculus II text, but that single section could be easily incorporated into our Calculus I course. The strong points of this text are clear, straightforward explanation and examples of the standard computational techniques of Calculus.
There are also several projects that are suggested in the book that are in line with current calculus pedagogy trends. The text is clearly written, and its colloquial style is a strong point of the book. Overall, this is a solid reference text. Logically reasonable and convenient.
There isn’t an overuse of greek letters, which I like. The material is timeless, and the examples used aren't too topical. I like the learning objectives... 16-21 1.4 Circular Motion, pp. Modularity is logically reasonable, text is well organized (see the Table of Contents) and is a natural part of the Calculus 1,2,3 sequence. This textbook is available in online, downloadable pdf, and print version. I recommend the book. Gilbert Strang was an undergraduate at MIT and a Rhodes Scholar at Balliol College, Oxford. I have not found any grammatical errors. Although the majority of the real-world objects referenced inanimate, the humans referenced are male.
read more. Professor Strang has published eleven books. It is more focus on introducing the concepts with examples of application well worked out. Again, this book structured in a similar way to our current book. The older one probably requires a more rigorous algebra background. This follows the usual progression of a calculus textbook: limits, derivatives, applications, integrals, and more applications. The older text is a traditional calculus book can be used in 2-3 semesters calculus sequence course. It would be possible to use this book for any length of course between 10 and 15 weeks (or longer). Each of the sections should be clickable so that by doing so you are taken to the start of the section. Exercises are place consistently throughout the written text. Cultural content is very thin in this book, so there isn't much to critique here. Each chapter is laid out in a similar fashion in order to facilitate ease of learning and comfort as more topics are introduced and more complex concepts examined. Notation is used clearly and consistently throughout the book.
There is not much cultural reference made within this context. The real-world data will eventually require updating – a regular necessity for all textbooks – but individual problems can be seamlessly modernized as needed. Reviewed by Ashley Fuller, Associate Professor, Richard Bland College on 10/9/19, The text is well laid out and has topics broken down into appropriate subtopics within each larger chapter. I particularly like that this book is written in a more conversational tone than most math textbooks, and includes more helpful pictures embedded in the text than most textbooks do. Used together the students found the resources helpful. The table of contents and material covered is very similar to most standard, traditional Calculus textbooks intended for the first semester of study. There is a nice mix of theory... If you have a correction to suggest, submit it through the link on your book page on openstax.org. The text is relevant to all people and all cultures. From the start, this book gives a comprehensive (yet straight forward) review of the necessary function knowledge. The text is free of error, and the examples and exercises (the even ones I have worked on) are accurate. This is not usually a huge concern for a mathematics textbook, but I can see that the authors took particular care to find authentic application problems from a wide variety of contexts.
He was the President of SIAM during 1999 and 2000, and Chair of the Joint Policy Board for Mathematics. Reviewed by Angela Simons, Mathematics Instructor, Century College on 6/20/17, The text covers the same material that is covered in Calculus 1 textbooks that I have used in the past and that other members of the department still use. I taught the Calculus 1 course at two community colleges for many years and found that Calculus 1 from OpenStax is the best choice for both students and teachers. It would be hard to assign specific problems without them having a label. It covers the entirety of the usual Calculus I curriculum and includes sections with applications that are particularly helpful. The text very clearly explains the concepts and examples and relations between them. OpenStax College has compiled many resources for faculty and students, from faculty-only content to interactive homework and study guides.
When we got to chapter 4 the class was reminded of our previous discussion and we moved on. A... There are also several interactive applets that have easy click-throughs from the pdf and the ebook.
This text covers a standard list of topics for the 1st course of calculus. �� j�U%N�ƺ5"�t��K��u$��#=a����1�P"3�
�1�nW�p���. Using one of these resources in tandem with some sort of paper-and-pencil assignments from the text is likely the best alternative but still requires hand grading.
They also give a precise definition of limit in the main text, which I like. The online version of the book and the downloadable PDF are both very easy to load, navigate, and read on-screen. While particular emphasis on Newton and Leibniz is appropriate, this text could benefit from a wider span of historical features from other early contributors to calculus, including non-Europeans and women. It seems like the text was intentionally written to be gender and culture free. Interactive examples with hints and/or answers make the online version really valuable. The text is well laid out and has topics broken down into appropriate subtopics within each larger chapter. 2. Introduction of material is followed by practice, and then further developed by application.
I do find this text superior, though, and will recommend it to my students for use as supplementary study material. It certainly can be more of them, comparing to some commercial calculus text, if time and resources allow. There are a variety of topics used in examples. It starts with a review of functions, moves to limits, and then proceeds through differentiation and integration. It covered every section that our current book covers for 251 and 252. The biggest problem I have had is with the errors that change meaning, but these are easy enough to spot and do not seem to be a problem in the online version. For one thing, I could not find a table of contents to navigate between different sections. However, beyond those two things I find the book to be of excellent quality, particularly given that it is free. Integrals. Present exponential derivatives earlier in Chapter 3. A smaller but still irritating issue is the lack of numbers on the problems in the online version, which makes it difficult for students using the book on a mobile device to locate the homework.
That said, I’m much more likely to notice errors (or have them brought to my attention by students) when actually using the text for a course. The sections are often too long for an hour-long lesson but the divisibility of the book allows the instructor to shorten or lengthen a lesson to fit the time allowed. There are extensive examples to go with each learning objective followed by practice problems to allow the student significant practice. Most figures were well-designed, but a few were cluttered. It is simple to navigate to a particular section using the Table of Contents in the online interface. 5��hj�l�o�j xڍ�T��.�(�t)
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J#-��)�H_|��}kݻXk���={? Corresponding diagrams and figures are strong. In that regard, this textbook is extremely comprehensive. It feels like the sections could easily be selected and ordered at the instructor’s discretion, without too much confusion. The online version hides solutions for the example problems by default, allowing the reader to attempt the problem without being influenced by a visible solution. To a large extent this is the traditional Calc I curriculum, in the traditional order. In reading through the written portions, I did not find any glaring mistakes. Each section was well motivated with examples. In the pdf version of the book, the problems at the end of the section are numbered, it would be nice if the online version used the same numbering. The section on Limits at Infinity does not appear to rely on derivatives at all, so it could easily be taught with the rest of the material on limits if the instructor chooses. I would not omit any of those sections for a complete 1st course, but it certainly can be tailored and grouped to individual instructor need. ��=U��4�A0��R0[�`���nnnl�v�l�N�"�, 7� The derivative rules are presented in a logical order, with motivating examples. This book covers the standard Calculus 1 course: traditional topics of differential calculus and the basic concepts of integral calculus. Cultural Relevance rating: 5 The text is relevant to all people and all cultures. For example in section 3.1, Defining the Derivative the diagrams cluttered and students who are being exposed to the idea of the derivative for the first time may not understand what label goes with what. Plenty of exercises are placed throughout the text and include solutions for about half of them, similar to what is done for the odd numbered problems in a physical textbook. I should also not that the images and graphs were also free of clutter and easily understood. The table of contents and material covered is very similar to most standard, traditional Calculus textbooks intended for the first semester of study. It starts with a review of functions, moves to limits, and then proceeds through differentiation and integration. Illustrations, mostly graphs, are excellent, with great attention to the most important information. It begins with a chapter of functions review which is particularly useful for those non-STEM students taking calculus. Also, the website is modern-looking and organized.
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