It covered every section that our current book covers for 251 and 252. ���~t�霦�b�Qoq �ُ������+U������f��|�쾌U������u�\,�B�݀Tg�j��N��W��uZ��f��௙S�����;L�������;m9%��n��T�ʅ %��FM9%j6��/�oT��|�a`���^���AFuE-h/P{�>��e ��S���e������oh8:���Ħ�C�/���e�]��oξ�����ݳk��z{�-�#Z^��[k|UKH9_՜��j``T����6f`�h�``4rX@��&`(w4H �Z�����8�I��9�QP�����D��1� ���� Calculus content text is relatively timeless. Cultural Relevance rating: 5 The text is relevant to all people and all cultures. I like the idea of linking to external resources, but most commercial textbooks (in e-book form) would be more likely to have stable, functioning internal links to illustrations and applets. Each volume is an ebook in PDF format These are PDF files suitable for an ebook reader. The nature of the subject makes it difficult to imagine a calculus book becoming out-of-date. There is a nice mix of theory and applications throughout. I have not found any grammatical errors. This text covers the same material as other common Calculus I textbooks. While generally cultural relevance is not a major issue in calculus text, it probably will be great if the text includes some historical background as the topics move in logical order, since calculus is developed with rich history and important mathematicians along the way. This text is a bit of a cultural void. The grammar is good. He has been a Sloan Fellow and a Fairchild Scholar and is a Fellow of the American Academy of Arts and Sciences. 1-7 1.2 Calculus Without Limits, pp. While the text does include some examples and exercises using graphical and tabular approaches, I would like to see more examples and exercises that emphasize conceptual understanding and that encourage the development of modeling skills. I worked through a few examples and exercises and did not find any errors. This text covers a standard list of topics for the 1st course of calculus. When using the book in class I changed the order of some of the sections. I found no grammar or syntax errors -- the level of quality matches any traditional, expensive book. The compact review of functions helps to make a good start with calculus. Ignoring air resistanceand wind,the object willfall straight down until it hits the ground (see Figure 1.1.1(a)). 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. Again, this book structured in a similar way to our current book. 3. There are helpful glossaries at the end of each chapter, but no... However, I would prefer a text that contains more historical observations or side-notes than this one. Due to the comprehensive nature of the material, we are offering the book in three volumes for flexibility and efficiency. His Ph.D. was from UCLA and since then he has taught at MIT.
The book is clear in its written language, definitions, and figures. read more.

If you have a correction to suggest, submit it through the link on your book page on From the start, this book gives a comprehensive (yet straight forward) review of the necessary function knowledge. The text is relevant to the subject as it is supposed to to be taught these days. A variety of application problems requiring the use of technology (denoted with [T]) accompany solid pure math exercises. There were nice pieces of history interjected. Any instructor wanting to focus on computational skills would be completely happy with this text. Again, the book uses the traditional sequence of topics for calculus I, as follows: Easy to navigate. The compact review of functions helps to make a good start with calculus. If there are grammar errors in the book, they did not distract from the content. Although the majority of the real-world objects referenced inanimate, the humans referenced are male. The index and glossary are both easy to use. read more. Exercises are place consistently throughout the written text. The bulk of the material is timeless, but the examples used are modern and applicable. The book is easy to understand, and most material is presented in a sensible order. No areas were noted as insensitive and/or offensive in any way. Reviewed by Elijah Bunnell, Mathematics Instructor, Rogue Community College on 4/11/17, This text was very comprehensive. The textbook is very consistent in its visual presentation. Used together the students found the resources helpful. There are extensive examples to go with each learning objective followed by practice problems to allow the student significant practice. There are also several interactive applets that have easy click-throughs from the pdf and the ebook. 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. Formatting is clear and consistent. That said, I appreciate the continuous numbering of section problems in the pdf version.

h�bbd```b``�"ׂH�.�e "9�@�C,��W���@����="eL�$��[�AiP "uf����L��`� C����[� @� �Nc endstream endobj startxref 0 %%EOF 2071 0 obj <>stream I would like to see more interesting problems that emphasize deep conceptual understanding, or that require students to creatively bring together pieces of knowledge that come from different sections of the course. The book is divided into sections that could easily be taught in one or two days each. Examples are fairly straight forward and are universal in their application. No bias was present. This text was very comprehensive. This text covers a standard list of topics for the 1st course of calculus. The text is internally consistent in terms of terminology, notation, and framework. It starts with a review of functions, moves to limits, and then proceeds through differentiation and integration. Most specifically, section 4.6 "Limits at Infinity and Asymptotes" was covered in chapter 1 and chapter 2 while talking about functions and limits. The addition of colored definition boxes (light blue) and problem-solving strategy boxes (light orange) makes key concepts easy to find. I consider this is the ultimate advantage of using OER material, instructor can put together a good curriculum material suitable for the audience without worry too much about hiking up the cost. Examples given covered topics that should endure for a good amount of time. The text is not culturally insensitive or offensive in any way. Also in the online text the sample problems have the solutions hidden so that the problems can be done without being influenced by their presence. The text is well suited for 15 weeks course. As a part of this review, I was not able to use the accompanying online homework system, WeBWorK. I found this book to be clear and logically laid out. Each subsequent chapter flows in a logical and concise way. We did many of the problems both in class and as assigned problems and found no errors. It is difficult to use the online version in class and call students attention to a problem in their printed pdf copy. The text is free of error, and the examples and exercises (the even ones I have worked on) are accurate. Although the surface-type questions presented are sufficient for skill-building, I was unable to find more comprehensive, multi-step problems that require students to synthesize concepts while providing immediate feedback.

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. Its flow is fluent and logical (as mentioned in previous category). Reviewed by Nicole Kraft, Math Instructor, Portland Community College on 6/19/18, From the start, this book gives a comprehensive (yet straight forward) review of the necessary function knowledge. The book is in use at Whitman College and is occasionally updated to correct errors and add new material. The Fundamental Theorem of Calculus, often a tricky section, is handled clearly and intuitively. His home page is and his video lectures on linear algebra and on computational science and engineering are on When we got to chapter 4 the class was reminded of our previous discussion and we moved on. Edwin Herman, University of Wisconsin-Stevens Point, Attribution-NonCommercial-ShareAlike
He is a Professor of Mathematics at MIT, an Honorary Fellow of Balliol College, and a member of the National Academy of Sciences. 22-28 1.5 A Review of Trigonometry, pp. It is simple to navigate to a particular section using the Table of Contents in the online interface. This follows the usual progression of a calculus textbook: limits, derivatives, applications, integrals, and more applications. The subchapters are in logic order and easily adopted for use. I was unable to find any major topic that is covered in my classes currently that wasn't covered in this book. Therefore the text is very comprehensive. The text is relevant to all people and all cultures.

There were no issues with consistency. Edwin "Jed" Herman, Professor, Department of Mathematical Sciences, University of Wisconsin-Stevens Point.

I would need to supplement this textbook more than I would need to supplement other commercial options. 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. There are no consistency errors which I found. 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... The topics in this course are easily divided into the 6 chapters offered here. 8-15 1.3 The Velocity at an Instant, pp. Maybe you just assign all of them? There are enough colors used so that the user doesn't feel bored immediately or over time with the aesthetic. The text follows the usual format of offering many instructive, detailed examples for students to mimic, but tends to emphasize computational skills over conceptual understanding.

I would want to reorder my presentation of some of them, but it appears that would not cause any major problems. read more. However, the problems at the end of each section are not numbered in the online version of the book, and this makes it difficult for students to find the assigned problems unless they have a download (which they do not if, for example, they're working on a phone) or a hard copy. The text is organized in such a way to accommodate both Early Transcendental and Late Transcendental approaches. That is, it addresses all important issues, but broken down into comprehensible steps, without being pedantic or overly technical.

Derivatives and the Shape of a Graph are explained very well among other topics. I found very few typos or grammatical errors. Broad applications in biology, engineering, business, statistics, chemistry, and computer science for calculus are included. Calculus is a classic subject, so the topics here will not need to change.