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Test Preparation

By Self Publishing Titans
Essential Calculus Skills Practice Workbook with Full Solutions

Essential Calculus Skills Practice Workbook with Full Solutions

by Chris McMullen

4.6 (2301 ratings)
Test Preparation

Published

August 16, 2018

Pages

151 pages

Language

English

Publisher

Not found

Available Formats & Prices

View on Amazon

Paperback

$12.34

Audio CD

Not found

About This Book

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.

Introduction

Dive into the world of calculus with this comprehensive practice workbook, specially designed to help students solidify their understanding and improve their problem-solving skills. Calculus often poses challenges to learners, but with consistent practice and access to full solutions, students can transform their apprehensions into confidence. Whether you're preparing for exams or seeking to reinforce your knowledge, this workbook offers a wide array of exercises tailored to various skill levels, ensuring that every student finds the support they need to master essential calculus skills.

Key Takeaways

Build a strong foundation in calculus concepts through varied practice exercises. Gain confidence with step-by-step solutions for effective learning and problem-solving. Elevate your calculus skills with purposeful practice and comprehensive coverage.

Detailed Description

This Essential Calculus Skills Practice Workbook is carefully crafted to target the specific areas where students often struggle the most. By focusing on core calculus concepts, this resource offers a structured approach to mastering the subject through practical exercises. The problems range from basic to advanced, catering to students at all levels of expertise.\ Solutions are provided in a clear, step-by-step manner, ensuring learners can comprehend the process and methodologies involved in solving complex calculus problems.

Each solution serves as a guide, enabling students to unravel the mysteries of calculus with ease and self-assurance.\ The workbook is meticulously organized to allow students to progress at their own pace and provides numerous opportunities to revisit and reinforce key concepts. This format aids in long-term retention of essential calculus skills, making it an indispensable tool for students embarking on calculus-related courses. Ideal for self-study and classroom use, this workbook's comprehensive nature makes it suitable for high school and college students alike.

The coverage of a wide range of topics ensures thorough preparation for exams and enhances overall mathematical proficiency.\ Ultimately, by combining intuitive practice with detailed solutions, this workbook aspires to inspire students to not only enhance their calculation skills but also develop a genuine appreciation for the fascinating world of calculus.

Standout Features

What sets this workbook apart is its balance of complexity and comprehension By providing detailed solutions it allows students to independently navigate challenging problems and develop robust problem-solving skills thus boosting their mathematical confidence.\\ \nThe thoughtfully curated problems span a wide spectrum of difficulty levels accommodating both beginners and more advanced learners This adaptability ensures that students can tailor their study experience to their own pace and proficiency level.\\ \nMoreover the design of the workbook fosters an engaging learning environment encouraging students to explore calculus concepts in depth Its user-friendly layout and clear explanations provide learners with a seamless journey into the intricacies of calculus.

Book Details

ISBN-10:

1941691242

ISBN-13:

978-1941691243

Dimensions:

8 x 0.35 x 10 inches

Weight:

2.31 pounds

Specifications

Pages:151 pages
Language:English
Published:August 16, 2018
Publisher:Not found
Authors:Chris McMullen

Rating

4.6

Based on 2301 ratings

Customer Reviews

Amazing book. Read my review if you're just starting calculus for the first time

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Barbara Baker
January 3, 2024

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.

Too few exercises, too much empty spaces

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Jan Florian
September 19, 2024

I was hoping for a book that would give me lots of calculus problems. This is not it. I did not need another calculus textbook. The author should expand the book by adding couple hundred mixed problems, for which only answers (but not full solutions) would be listed at the book end. In order to learn math properly, students need to drill solving lots of exercises. Here they read the full solution, say 'I see how it is done, that is easy!' - and then they are clueless when facing a real-world calculus problem.

Clear, concise, and cost effective

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Trey Figgins
May 23, 2024

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.

If I had known, THIS BOOK would have saved me 100+ hrs of grief and misery!

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Tesseract
November 24, 2020

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!

Great examples but lacking depth

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the_dude_abides
December 5, 2019

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.

Great book to practice calculus

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Yvonne G.
September 10, 2024

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.

Very useful

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Raed Hanna
August 18, 2024

Very useful

Succinct; good refresher.

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M. Ozbilgin
September 10, 2024

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.