Calculus: Essential Skills Practice Workbook with Full Solutions – Derivatives, Limits and Integrals 2022 Edition
This workbook has been written to provide you all the help you need to master the essential calculus skills of evaluating derivatives, limits and integrals quickly and accurately. For achieving this objective, it guides you step-by-step through the essential tool set – rules, methods and formulas – with the help of clear discussions of topics, thoroughly explained solved examples and exercises with complete solutions. In order to inculcate full student confidence, this user-friendly workbook does not shy away from clarifying even ‘simple’ calculation skills like addition of fractions, multiplication/division of exponents, use of trigonometric identities and so on.
What is inside?
- The subject matter of the workbook has been divided into twenty one chapters with each chapter dealing with a particular topicTable of Contents
1 – Basic Differentiation Rules and the Derivatives of Polynomials
2 – The Chain Rule
3 – The Product Rule
4 – The Quotient Rule
5 – Derivatives of Trigonometric Functions
6 – Derivatives of Inverse Trigonometric Functions
7 – Derivatives of Exponential Functions
8 – Derivatives of Logarithmic Functions
9 – Derivatives of Hyperbolic Functions
10 – Derivatives of Implicit Functions
11 – Second Order Derivatives
12 – Extreme Values-Maxima and Minima
13 – Limits and L’Hôpital’s Rule
14 – Indefinite Integrals and Integrals of Polynomials
15 – Definite Integrals
16 – Integrals of Trigonometric Functions
17 – Integrals of Exponential, Logarithmic and Hyperbolic Functions
18 – Integration by Polynomial Substitution
19 – Integration by Trigonometric Substitution
20 – Integration by Parts
21 – Multiple Integrals
- Each chapter of the workbook begins with a concise yet self-contained discussion of the topic of the chapter supplemented by formulas, identities and properties of various functions, their derivatives and anti-derivatives. This is followed by a number of examples that are solved step by step with explanation of every step.
- At the end of every chapter, a variety of practice exercises are provided to test your problem solving skills as well as your comprehension and retention of the topic.
- Full solution of every practice exercise can be found at the back of the workbook to allow you to check your answers. An effort is made to provide really detailed answers without skipping any steps.
Who this workbook is for?
- Students taking introductory calculus course in high schools, colleges and universities who can use it as a text book or a supplementary book
- Those from various fields like sciences, engineering, economics, medicine and others who wish to learn or to brush up their knowledge about derivatives and integrals, which they need to solve myriad problems in their respective fields.
- All those in home study programs, parents wanting to help their kids and other adults of all ages who wish to have a handle on differentiation, limits and integration.
About the Author
Sudhir K. Sood obtained his Ph.D. degree in fundamental particle physics. As research scientist and Professor of Physics at Universities in France, Canada and India, Dr. Sood has taught a number of courses both at introductory and advanced graduate level. He has lectured at international Physics conferences and authored numerous well-cited research papers that are published in reputed peer reviewed journals. More recently, for more than a decade, he has taught physics and mathematics to students who wish to specialize in engineering, medicine and physical science courses.
Thorough presentation is provided for all major differential and integral calculus topics. Dr. Sood has created a wonderfully helpful study book that will "blow away" all competition. Do not hesitate to buy. This book is the best!
I wanted to review my long forgotten Calculus from my Computer Science degree to work on understanding how Machine Learning algorithms work.
This book is perfectly organized and complete.
Dr. Sood expertly explains and walk you thru every important concept and example with detailed solutions.
I also very much like that he repeats important rules and concepts along the way, strengthening your understanding.
There are many math videos on YT, but this book is better than any YT video.
Lastly, the book is not a grind like others. It's quite enjoyable.
Don't hesitate. This is the one your looking for.
I think this is extremely helpful for students of calculus to prepare for exams. Well organized and very fair price
Out of the numerous calculus review guides that I have purchased, this one has been the most useful.
Thank you Dr. Sood
There are many many examples and problems - well laid out and easy to follow.
It is also comprehensive - covers everything I could think of! A handy companion for the math teacher, and it easily could be the only book needed to gain understanding and competency for the beginner student. An excellent book for the advanced student looking to brush up and review.
This includes the 6 Healing Sounds info - vital to know in order to Balance emotions after circulating energy in microcosmic & especially when doing Healing Love/Sexual Energy Cultivation also.
More detailed info on Inner Smile.
Ch. 10 - excellent summary of Sexual Practises. This is a vital component to add to the Microcosmic Orbit meditation & basic practises.......so important & great to see in this book, gives it a more complete & thorough understanding.
The 3rd chapter on Virtues was brilliant - the drawing diagrams really give the reader a great feel for emotions & their effects & on the importance of balancing them. This chapter was one of the most helpful for me.
A much more thorough explanation of the Microcosmic Orbit meditation......yet in truth, it is a very simple exercise when you get used to it. I recommend Sarina Stone website & order Mp3, $19.95, 20 mins long & guides you through the practise. She has a great voice too. Still.......an abundance of great technical info in this book to help you with this practise.
I learnt everything from the books & it works for me brilliantly.
As others have said, this book is an overview. If you check up on Mantak Chia you will see that he has written many books on Taoism. He states that there are thousands of exercises you can do, but he gives you the main principles so that you can decide which exercises work best for you and even adapt them to you personally. However, there are two exercises which are basic, and you must learn them. They are the inner smile and the microcosmic orbit. Neither is difficult. My suggestion to anyone who begins to study Taoism is to learn first how to do the inner smile, then do it every morning. All by itself it is invaluable and yields, if not immediate, then almost immediate results. He states in one of his books that if you never did anything else but this one exercise, it would change your life for the better. Fortunately it is actually quite pleasant to do, although you will have to brush up on your anatomy.
If any of you old timers, and maybe some new timers too, remember, it has been said that in ancient times, over the main entrance to every esoteric school was the admonition to "know yourself." A lot of what Mantak Chia teaches is just that, how to know yourself physically, mentally, emotionally and spiritually. But it is not painful like psychotherapy nor guilt producing like so many religious teachings. I always thought Taoism was a religion, but it is not. It is, however, compatible with all religions.
My impression of Master Chia is that he has ever striven to improve his teaching with newer updated books rather than just put out new books with nothing of further value in them as so many authors have done in an attempt to capitalize on the success of a first book. In his many books he also comes at the same subject from different angles in order to deepen your understanding of the system. I could go on and on praising Mantak Chia and Taoism because there is so much to praise, but you must experience his teachings for yourself in order to achieve the growth we have all longed for for so long.