Book description
Noriko is just getting started as a junior reporter for the Asagake Times. She wants to cover the hardhitting issues, like world affairs and politics, but does she have the smarts for it? Thankfully, her overbearing and mathminded boss, Mr. Seki, is here to teach her how to analyze her stories with a mathematical eye.
In The Manga Guide to Calculus, you'll follow along with Noriko as she learns that calculus is more than just a class designed to weed out wouldbe science majors. You'll see that calculus is a useful way to understand the patterns in physics, economics, and the world around us, with help from realworld examples like probability, supply and demand curves, the economics of pollution, and the density of Shochu (a Japanese liquor).
Mr. Seki teaches Noriko how to:
 Use differentiation to understand a function's rate of change
 Apply the fundamental theorem of calculus, and grasp the relationship between a function's derivative and its integral
 Integrate and differentiate trigonometric and other complicated functions
 Use multivariate calculus and partial differentiation to deal with tricky functions
 Use Taylor Expansions to accurately imitate difficult functions with polynomials
Whether you're struggling through a calculus course for the first time or you just need a painless refresher, you'll find what you're looking for in The Manga Guide to Calculus.
This EduManga book is a translation from a bestselling series in Japan, copublished with Ohmsha, Ltd. of Tokyo, Japan.
Table of contents
 Table of Contents
 Preface
 Prologue:What Is A Function? (1/3)
 Prologue:What Is A Function? (2/3)
 Prologue:What Is A Function? (3/3)
 Chapter 1: Let’s Differentiate a Function!

Chapter 2: Let’s Learn Differentiation Techniques!
 The Sum Rule of Differentiation (1/2)
 The Sum Rule of Differentiation (2/2)
 The Product Rule of Differentiation (1/2)
 The Product Rule of Differentiation (2/2)
 Differentiating Polynomials
 Finding Maxima and Minima (1/2)
 Finding Maxima and Minima (2/2)
 Using the Mean Value Theorem
 Using the Quotient Rule of Differentiation
 Calculating Derivatives of Composite Functions
 Calculating Derivatives of Inverse Functions
 Exercises

Chapter 3: Let’s Integrate a Function!
 Illustrating the Fundamental Theorem of Calculus (1/2)
 Illustrating the Fundamental Theorem of Calculus (2/2)
 Using the Fundamental Theorem of Calculus (1/2)
 Using the Fundamental Theorem of Calculus (2/2)
 Applying the Fundamental Theorem (1/2)
 Applying the Fundamental Theorem (2/2)
 Review of the Fundamental Theorem of Calculus
 Formula of the Substitution Rule of Integration
 The Power Rule of Integration
 Exercises

Chapter 4: Let's Learn Integration Techniques!
 Using Trigonometric Functions (1/2)
 Using Trigonometric Functions (2/2)
 Using Integrals with Trigonometric Functions (1/2)
 Using Integrals with Trigonometric Functions (2/2)
 Using Exponential and Logarithmic Functions (1/2)
 Using Exponential and Logarithmic Functions (2/2)
 Summary of Exponential and Logarithmic Functions
 More Applications of the Fundamental Theorem
 Exercises
 Chapter 5: Let’s Learn About Taylor Expansions!

Chapter 6: Let’s Learn About Partial Differentiation!
 What Are Multivariable Functions?
 The Basics of Variable Linear Functions (1/2)
 The Basics of Variable Linear Functions (2/2)
 Tanaka School Sunday
 Partial Differentiation (1/2)
 Partial Differentiation (2/2)
 Total Differentials
 Conditions for Extrema
 Applying Partial Differentiation to Economics
 The Chain Rule (1/3)
 The Chain Rule (2/3)
 The Chain Rule (3/3)
 Derivatives of Implicit Functions
 Exercises
 Epilogue:What Is Mathematics for?
 Appendix A: Solutions to Exercises
 Appendix B: Main Formulas, Theorems, and Functions Covered in this Book
 Index
Product information
 Title: The Manga Guide to Calculus
 Author(s):
 Release date: August 2009
 Publisher(s): No Starch Press
 ISBN: 9781593271947
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