Essential Calculus Skills Practice Workbook with Full Solutions

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.

Table of Contents

Chapter 1 Derivatives Of Polynomials
Chapter 2 The Chain Rule, Product Rule, And Quotient Rule
Chapter 3 Derivatives Of Trig Functions
Chapter 4 Derivatives Of Exponentials
Chapter 5 Derivatives Of Logarithms
Chapter 6 Second Derivatives
Chapter 7 Extreme Values
Chapter 8 Limits And L’Hôpital’S Rule
Chapter 9 Integrals Of Polynomials
Chapter 10 Definite Integrals
Chapter 11 Integrals Of Trig Functions
Chapter 12 Integrals Of Exponentials And Logarithms
Chapter 13 Integration By Polynomial Substitution
Chapter 14 Integration By Trigonometric Substitution
Chapter 15 Integration By Parts
Chapter 16 Multiple Integrals