Book description
Noriko is just getting started as a junior reporter for the Asagake Times. She wants to cover the hard-hitting issues, like world affairs and politics, but does she have the smarts for it? Thankfully, her overbearing and math-minded 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 would-be 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 real-world 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, co-published 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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