Essential Calculus Skills Practice Workbook with Full Solutions

Essential Calculus Skills Practice Workbook with Full Solutions

by Chris McMullen

Zishka Publishing | August 2018 | ISBN-10: 1941691242 | ePUB | 24.2 mb

https://www.amazon.com/Essential-Calculus-Practice-Workbook-Solutions/dp/1941691242/



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.



CONTENTS

Introduction

1 DERIVATIVES OF POLYNOMIALS

2 THE CHAIN RULE, PRODUCT RULE, AND QUOTIENT RULE

3 DERIVATIVES OF TRIG FUNCTIONS

4 DERIVATIVES OF EXPONENTIALS

5 DERIVATIVES OF LOGARITHMS

6 SECOND DERIVATIVES

7 EXTREME VALUES

8 LIMITS AND L’HÔPITAL’S RULE

9 INTEGRALS OF POLYNOMIALS

10 DEFINITE INTEGRALS

11 INTEGRALS OF TRIG FUNCTIONS

12 INTEGRALS OF EXPONENTIALS AND LOGARITHMS

13 INTEGRATION BY POLYNOMIAL SUBSTITUTION

14 INTEGRATION BY TRIGONOMETRIC SUBSTITUTION

15 INTEGRATION BY PARTS

16 MULTIPLE INTEGRALS