When Isaac Newton developed calculus in the 1600s, he was trying to tie together math and physics in an intuitive, geometrical way. But over time math and physics teaching became heavily weighted toward algebra, and less toward geometrical problem solving. However, many practicing mathematicians and physicists will get their intuition geometrically first and do the algebra later.

Make:Calculus imagines how Newton might have used 3D printed models, construction toys, programming, craft materials, and an Arduino or two to teach calculus concepts in an intuitive way. The book uses as little reliance on algebra as possible while still retaining enough to allow comparison with a traditional curriculum.

This book is not a traditional Calculus I textbook. Rather, it will take the reader on a tour of key concepts in calculus that lend themselves to hands-on projects. This book also defines terms and common symbols for them so that self-learners can learn more on their own.

Table of Contents

  1. Cover
  2. Title Page
  3. Copyright Page
  4. Contents
  5. Dedication
  6. Preface
  7. Chapter 1: The Fundamental Theorem
  8. Chapter 2: Calculus and its Limits
  9. Chapter 3: 3D Printed Models
  10. Chapter 4: Derivatives: The Basics
  11. Chapter 5: Using and Calculating Derivatives
  12. Chapter 6: Integrals: the Basics
  13. Chapter 7: Integrals and Volume
  14. Chapter 8: Modeling Exponential Growth and Decay
  15. Chapter 9: Modeling Periodic Systems
  16. Chapter 10: Calculus, Circuits, and Code
  17. Chapter 11: Coordinate Systems and Vectors
  18. Chapter 12: Series
  19. Chapter 13: Your Toolbox
  20. Index
  21. Also from the authors: