by Chris McMullen
Published
August 16, 2018
Pages
151 pages
Language
English
Publisher
Not found
Paperback
$12.34
Audio CD
Not found
The author, Chris McMullen, Ph.D., has over twenty years of experience teaching math skills to physics students. He prepared this comprehensive workbook (with full solutions to every problem) to share his strategies for mastering calculus. This workbook covers a variety of essential calculus skills , including: derivatives of polynomials, trig functions, exponentials, and logarithms the chain rule, product rule, and quotient rule second derivatives how to find the extreme values of a function limits, including l’Hopital’s rule antiderivatives of polynomials, trig functions, exponentials, and logarithms definite and indefinite integrals techniques of integration, including substitution, trig sub, and integration by parts multiple integrals The goal of this workbook isn’t to cover every possible topic from calculus, but to focus on the most essential skills needed to apply calculus to other subjects, such as physics or engineering.
Dive into the world of calculus with this indispensable workbook designed to bolster your skills through extensive practice and detailed solutions. Whether you're a student looking to sharpen your understanding or a teacher seeking effective resources, this book serves as a valuable companion. Experience a well-structured approach that breaks down complex concepts into manageable exercises, ensuring you develop confidence and mastery in calculus.
Gain hands-on experience solving calculus problems with well-structured practice exercises. Each exercise comes with comprehensive step-by-step solutions for thorough understanding. Ideal for students and teachers aiming to enhance their calculus proficiency.
The Essential Calculus Skills Practice Workbook offers an extensive collection of exercises aimed at reinforcing key concepts in calculus. Each problem is crafted to challenge and engage learners, offering ample opportunities to apply theoretical knowledge in practical scenarios. Students will appreciate the variety of questions designed to test different areas of calculus.
Detailed solutions accompany each exercise, providing step-by-step breakdowns that illustrate the core principles. This feature enables learners to identify areas where they may need more practice or clarification. The workbook is structured to gradually build learners' confidence, allowing progression from fundamental concepts to more advanced techniques.
This workbook emphasizes clarity in presentation and methodical problem-solving strategies. This makes it an ideal tool not only for personal study but also for classroom use, aiding teachers in illustrating complex topics. By engaging with this workbook, learners can significantly enhance their problem-solving skills and mathematical reasoning.
In addition to practice exercises, the workbook includes helpful tips and insights that further clarify challenging concepts. These tools are designed to facilitate a deeper understanding of calculus, allowing learners to approach problems analytically and critically. Overall, this workbook is more than just practice; it's a gateway to mastering calculus.
What sets this workbook apart is its comprehensive solutions that guide learners through each step of the process This attention to detail ensures that students not only reach the correct answer but also understand the methodology behind it Another distinguishing feature is its versatility making it suitable for individual learning and classroom environments Teachers will find it particularly useful as a supplement to coursework while students can use it to bolster their independent study sessions The workbook's ability to demystify calculus concepts through clear explanations and varied problem sets makes it an essential resource It stands out by transforming a potentially daunting subject into an accessible and engaging experience for all learners.
1941691242
978-1941691243
8 x 0.35 x 10 inches
2.31 pounds
Based on 2300 ratings
Covid was not a time when a lot of learning or teaching happened. My son had a lot of gaps in his calculus and once in person learning started this work book helped him fill in what he wasn’t taught.
printing could be better
I bought this book because I'll need calculus 1, 2, & 3 for my major and I wanted to self-study ahead of time because i had never taken calculus before. Like other reviews mention, this book has instructions, practice problems, and step by step solutions. It does not include theory or anything conceptual, for example you'll learn how to find the definite integral of a function but you won't get an explanation of what a definite integral is. This may sound as though you need background in calculus before attempting this book, however that is not the case! I went in with zero background, started working through the book following instructions, and learned how to solve all the problems all while knowing nothing about the significance of each correct answer. It may be counterintuitive, but learning how to solve calculus problems before learning calculus itself actually made it so much easier for me to grasp both components. I recommend considering this backwards method if you're like i was with no background, finding the solutions to these problems involves memorizing several rules and being proficient in algebra & trig, that's it. Some of the theories and concepts in calculus can be difficult to wrap your head around on a fundamental level, but it's easier when you're not simultaneously trying to understand abstract concepts while also learning how to solve practice problems involving them.
This book is well-written and is targeted toward a broad audience. My favorite part of the book is that it includes multiple potential solutions for most problems but also specifies which is the most simplified. The level of detail is very high, and it is the perfect book to hone skills in mathematics. Note: This book is not (and is not meant to be) comprehensive for a calculus I or II course. Derivatives, limits, and integrals are covered in good depth, but application-based problems (related rates, differential equations, volumes of rotation) are not covered. All things included, I wish I had this book when I took calculus.
Bought this to reinforce what I’m learning in class and like other reviewers said, the problems are worked out nicely and show a lot of the intermediary steps. I gave it a four because it only goes about two thirds the breadth of a calc 1 class and maybe one tenth the depth. The worked examples are are great, just very basic. It would be nice to see more depth at least, because someone is likely using this type of book to look at the more complex problems from a different perspective.
TL:DR - Pros: Good for introductory students, and self-study review. Keypoints per section, and execute. Mistakes? Here's EXACTLY why! Cons: No laborious exposition on history/theory/definitions needed for later courses, BUT reminds you of algebraic/geometric 'theory' to show you why your problems are erroneous. Review: This is a great primer for someone that's starting Calculus or has already done classes and completely forgotten everything. It gives provides about a half-page of notes and keypoints, as if you just got done with the lecture. I remember in college getting so frustrated getting erroneous answers even using Stewerts Solution manual, chegg, wolfram alpha, AND the internet, and I would still be left clueless, distraught, stressed, and agrevating having to spend so much time to understand what I was doing wrong. This small booklet has got you covered! The book's notes and solution lets you know exactly what they're doing, even the 'trivial' algebra/trigonometry, which was the bane of me, and often provides the most enlightening. This book always lets you know "hey remember that weird obscure algebraic principle your teacher told you 4 years ago and spent 45 seconds covering in-class". Well here's why you use it, and how it relates to being operated under derivatives and integrals. Which I think is actually super useful for Mathematical Proofs courses later on, as people tend to have forgotten all the juicy bits and pieces of algebra and trig which this small booklet reminds you of. The book gives you the 'lecture notes' as if you just got out of class and says "GO!". The solutions give you such clear guidance for every step, and gives you the "why" did you just do that step "how did you do that" - 'this algebraic property/identity' The problems are also unique to give you new ideas to think about, as opposed to the 50 same original problems that you get tired and tedious of and 5 random extremely tough problems that you have nothing to connect them to. This book doesn't go over the theories and proofs, and history, etc, blah blah blah, that textbooks use to fill up the pages and bore the student to death to even attempt to read, let alone do the problems. Gives you the 'lecture notes' and says "GO!". The solutions give you such clear guidance for every step, and gives you the "why" did you just do that step "how did you do that" - 'this algebraic property/identity' The problems are also unique to give you new ideas to think about, as opposed to the 50 same original problems that you get tired and tedious of and 5 random extremely tough problems that you have nothing to connect them to. This book gives you unique problems, that give you progressively harder ideas to work with. Definitely not some of those crazy problems in textbooks, but it gives you the experience to tackle those head on. This book starts slightly ahead of College level Material at derivatives curriculum starts at limits. So I'm surprised someone said it's only useful for highschool. The book picks up roughly where my Pre-calc Honors class ended in Highschool. This gave me an excellent crash course and refresher in Calc to begin Real Analysis/Advanced Calculus! If you're a beginner calc student or advanced self-study looking for a review, this is your golden ticket! An absolute steal for $10. Skip your lunch buy this book!
Very useful
I have a degree in engineering from years ago. For me this was a very nice calculus refresher with very nicely chosen examples. Fulfills what it promises in its description. Don't expect it to cover everything in calculus. If that's your goal, this must be supplemented with a calculus textbook. I very much like its succinctness though.