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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. Review: If I had known, THIS BOOK would have saved me 100+ hrs of grief and misery! - 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! Review: Helped me get ABCTE math teaching qualification - (This is Andrea not Craig) Chris McMullen’s books helped me fill the gaps in my math knowledge so that I could earn my teaching certification through the ABCTE program. My children are now all in school, so I wanted to get back to work full time and I like subbing. When ABCTEs certification was approved in my state I could afford the math teaching qualification— great, right? I have an applied math degree from MIT so I thought this would be easy. I quickly learned there were massive gaps in my math knowledge. I didn’t know “college algebra” was a thing. The syllabus provided by ABCTE was poor and correlated badly with the questions on ABCTE practice exams, which ranged in difficulty between k-12 material and the type of math my pure math major friends studied. I had a huge amount of work to do. Fortunately I found Chris McMullen’s books. I believe I’ve bought seven. I worked through them cover to cover and was able to sail through the final exam yesterday. I came up through a school system that taught to the test. In college I could get through with memorization rather than understanding. Profs sold poorly planned books and their TAs rarely took the time to explain why they did things. (Sometimes they were just blindly following macros themselves.) The worked practice problems Chris provides should be the core of any math teaching program. I wish they were around when I was in school! These McMullen books were particularly helpful: Essential Calculus, Challenging Calculus Problems, Essential Probability, Exponents and Logs, Sequences and Series, Essential Trigonometry, Complex Numbers. It’d be great if he’d write a linear algebra one, too. Thank you, Chris! I will be recommending your books to my students.









| Best Sellers Rank | #9,282 in Books ( See Top 100 in Books ) #1 in Calculus (Books) #7 in Mathematics Study & Teaching (Books) #121 in Education Workbooks (Books) |
| Customer Reviews | 4.6 out of 5 stars 2,701 Reviews |
T**T
If I had known, THIS BOOK would have saved me 100+ hrs of grief and misery!
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!
C**N
Helped me get ABCTE math teaching qualification
(This is Andrea not Craig) Chris McMullen’s books helped me fill the gaps in my math knowledge so that I could earn my teaching certification through the ABCTE program. My children are now all in school, so I wanted to get back to work full time and I like subbing. When ABCTEs certification was approved in my state I could afford the math teaching qualification— great, right? I have an applied math degree from MIT so I thought this would be easy. I quickly learned there were massive gaps in my math knowledge. I didn’t know “college algebra” was a thing. The syllabus provided by ABCTE was poor and correlated badly with the questions on ABCTE practice exams, which ranged in difficulty between k-12 material and the type of math my pure math major friends studied. I had a huge amount of work to do. Fortunately I found Chris McMullen’s books. I believe I’ve bought seven. I worked through them cover to cover and was able to sail through the final exam yesterday. I came up through a school system that taught to the test. In college I could get through with memorization rather than understanding. Profs sold poorly planned books and their TAs rarely took the time to explain why they did things. (Sometimes they were just blindly following macros themselves.) The worked practice problems Chris provides should be the core of any math teaching program. I wish they were around when I was in school! These McMullen books were particularly helpful: Essential Calculus, Challenging Calculus Problems, Essential Probability, Exponents and Logs, Sequences and Series, Essential Trigonometry, Complex Numbers. It’d be great if he’d write a linear algebra one, too. Thank you, Chris! I will be recommending your books to my students.
J**Z
Great way to pick up Calculus Skills!
I've been using this text to study Calculus before I get into my Calc II and III courses. I've found the exercises to be very useful and informative. Each exercise doesn't skip a step, so if your math skills are rusty, you'll have no problem getting started with this book. The only downside would be that sometimes the explanations are quite straightforward and can be obnoxious if you're quick with math, but I suppose that it can be helpful for another person so no real complaints here!
S**R
Review by retired math teacher
This book gives a representative collection of problems that reinforce basic calculus skills. The answers are very detailed and comprehensive. This is a major strong point of this book. There is a concise presentation of concepts before each problem set. I am a retired college math teacher and worked though the problems to keep my mind active.
B**A
Great book at a great price!
As someone with a limited calculus background, I really enjoyed this book! I feel like I gained a solid understanding of the material. The solutions at the back of the book were super helpful, with step by step workup so you can see where you went wrong. I would 100% recommend this book to anyone trying to learn calculus as it does a wonderful job making the subject matter approachable.
W**L
Calculus refresher
This workbook will refresh your memory regarding integration and derivative math problems. Most of the examples can help you solve the problems at the end of each chapter. The explanations given for the examples are easy to understand for people who have a math background that goes beyond, or is higher than, algebra.
A**R
Excellent course review!
This book is an excellent, bite-sized coverage of [essentially] Cal I & II. It's succinct and to the point. I recommend that beginning students pair this with a good textbook and as many extra supplemental problems as possible, but for a refresher this is PERFECT! For the price, you cannot beat this book--I wish it had been around when I first studied derivatives and integrals, years ago.
R**K
OK, but has ended up low on my use list
I have a bunch of books on this topic that I dig into for occasional refreshing. The problems are fine, great, even, but this book always ends up toward the back of the line when I go to choose one. I've rewritten this review a couple times and it's hard putting my finger on what's missing for me. You're probably too young to remember encyclopedias, but opening this book feels like opening one of them to me. It's math, I know, but this book doesn't give off any spirit. I go back and forth between 3 & 4 stars. If you're looking for a book that serves its purpose yet feels more like a shopping list, this is the practice book for you.
C**.
Excelente libro de trabajo
Excelente libro de referencia
I**O
My Essential Calculus Workbook
Helpful book for Calculus.
M**S
Very cool!
It is a very good book to practice your calculus skills. Therefore, personally, I would not recommend it to absolute beginners that have never heard of calculus before, simply because the book does not explain 'what' calculus is. It is as advertised, a workbook.
P**A
Livro de cálculo
Bom livro! Chegou tudo certo.
M**6
This is a great calculus reference reviewer
Very good calculus reviewer. Easy to understand.
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