The Humongous Book of Calculus Problems

The book is great for non maths people, the explanations are well intriduced. I recommend this for maths students who are weak in some topics. A+++

This book is mostly a problems repository. Like the author's other "humongous" books, from chapter 1 it starts giving you problems with very little setup or theory up-front. It does have a chapter introduction page that introduces the topic(s) in the chapter, but then it just starts in with example problems. But, unlike some of the other guides out there that have just a ton of example problems in them, the author does weave in the explanation of the theory in the form of margin notes that are added to explain how to tackle/solve the problems. Along with the theory, the author gives you tips for solving different problem types, advice on things to look out for, and marks the hardest kinds of problems with a skull and cross bones, which I think are good problems to go over before your exams.The book is good in that it does not just dive into the calculus material. The first 8 chapters (about 120 pages or so) are a review of algebra and trigonometry, making sure you have the fundamentals down in case you need to brush up on them, and then it gets into the calculus material. The calculus material covers all of the topics that you will be exposed to in the first year of calculus, starting with limits and ending with using integration techniques on sequences and series problems. It also goes over the introduction to differential equations that students usually get in the second semester, and has good examples for solving related rates problems and optimization problems.The book does not cover multivariable calculus, linear algebra, or the more complicated differential equations material that you will get in later classes if you need to go beyond calculus 1 and 2. This will, however, definitely help you get through the material in the first year of calculus, especially if you have a hard time understanding your textbook and/or your teacher.

El título del comentario se explica solo. Ya había tenido contacto con la colección (con "The Humongous Book of Geometry Problems") y tengo una muy buena opinión de ellos (amplios, detallados, lenguaje accesible y ¡montones de problemas!), así que en cuanto me dijeron que impartiría una clase de Cálculo en preparatoria, no lo pensé dos veces para adquirirlo. No decepciona, será un excelente recurso para apoyar mis notas de clase

I'm using it to prepare for Calc II.Only 20 pages in but so far this book rocks. What I really like about it is that these are GOOD questions because they test your understanding to see if you really understand the material and more importantly, they bring out the little details that are easy to miss.I don't normally write reviews but this book deserves it since it really is something special. Other books just bore you by telling you most of what you already know. You don't master math by having a general/basic idea of concepts, you master it by doing tons and tons of problems and this book seems to be based on that principle. I feel confident that if I can do every problem in this book, I'll be set for Calc II.

Great practical book