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Calculus: Essential Skills Practice Workbook with Full Solutions - Derivatives, Limits and Integrals 2022 Edition
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 topic
Table 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 forStudents 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 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.
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 topic
Table 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 forStudents 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 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.
- GenresMathematicsEngineering
234 pages, Kindle Edition
Published June 13, 2022
320 people are currently reading
27 people want to read
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