This is also different from other textbooks. This design separates the introduction of derivative and applications of derivative completely. Related rates is a difficult topic in Calculus I. Introducing related rates at the end of derivatives helps students to practice more before getting into it.
This text has no navigation issues. Whenever it refers to previous examples or definitions, the author uses internal hyperlink taking you to the right place. But it would be nice if there is a way to return back to where the reader was after reviewing the referred materials.
Some of the figures are not labeled, but they are referred from the text right above. The text has not many life-related examples. Majority of the examples are mathematical. So the text is not culturally insensitive or offensive in any way. I personally like this book. It has a very nice structure and detailed explanations to examples. It also points out the misconceptions that students usually have which helps students to grasp the knowledge accurately. The text reviewed here is a version May of the single variable portion chapters 1 ; pages of the full text, Calculus: Early Transcendentals by Guichard et al, which includes both single and multivariable calculus and can be Separable DEs, mandatory in the BC curriculum, are treated in The index could certainly be improved, particularly for those using a print copy and unable to do a search as a pdf file would allow.
For example, section 8. Diagrams in the text are relatively few and far between, though are used effectively when present. To illustrate, the Squeeze Theorem presented in 4. Another example appears in 4. I liked to see this very much!
If I am running twice as fast as you at a certain instant, then at this instant you are running half as fast as me! It is possible to do this derivation without resorting to pictures, and indeed we will see an alternate approach soon. Left and right continuity are not mentioned in the text unusual , and nor are one-sided derivatives usual.
Conversely, of course, an instructor using this text may wish not to follow the rigorous epsilon-delta approach to limits. The exercises at the end of each section are well chosen and numerous enough in applications such as optimization and related rates where they need to be.
They range from routine practice to more challenging questions, and most have short answers in the back of the book. Overall, I like this book a lot. It is very well written and friendly to read, without the usual clutter of sidebars, footnotes and appendices! It moves quickly through all the important definitions and theorems of calculus with many examples and also a certain amount of just-in-time precalculus for example, with the exponential and logarithm functions.
Maybe slightly too much so, as sometimes definitions or important formulas appear in the flow of the discourse and are not highlighted for easy visual reference for the student. Most are numbered, but the conversion formulas for switching from polar to rectangular coordinates in I did notice somewhere a period missing at the end of a sentence. Also, in the remark in parentheses at the end of Example 1. Of course there are natural biases expected in terms of style, rigour, choice of definitions etc.
It does go slightly against the grain however, to allow as the book does, the endpoints of an interval [a, b] to be local extrema. Both texts state the theorem and illustrate its usefulness and interpretation with respect to motion. The book is regularly being updated by the author, taking into account feedback from users of the text. I will leave it to other reviewers more familiar with manipulating source code to comment on the ease of editing the text.
The internal hyperlinks in the pdf version of the text are a very nice feature, taking you instantly to a referenced diagram, definition, or solution of an exercise. However, it would be nice if there was a way to return to the exact previous position in the text with a single click, after viewing the reference, rather than having to navigate back using the bookmarked pages or sections of the text.
The textbook covers all the topics necessary for a Calculus 1 course. A chapter on differential equations is made mention of in the small print on the inside front cover, but does not appear in the contents. The TeX files used to generate the textbook are freely available as well, thus allowing users to update and edit the text themselves, if required.
Definitions, Theorems, Examples, and Exercises are helpfully numbered. Organization of the material that is perhaps slightly unusual includes introducing the derivative before introducing continuity, leaving limits at infinity until later Section 4.
The partition between a Calculus 1 and a Calculus 2 course is often such that some integral applications are required as part of the Calculus 1 syllabus, but that integration by parts and integration using partial fractions is not encountered until Calculus 2. Again, having the tex files allows for rearranging and omitting certain material as required for particular course offerings.
This is only relevant for the pdf of the textbook. This could be quickly and easily changed, if desired, by running a Canadian English spell check through the textbooks. April 27, Lin, Ned H July 2, Load more. Doorbell Wiring and Installation November 19, January 15, John Kenkel 0. Trott 0. Carl S. Warren 2. Warren 0. Abraham Silberschatz 1.
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