Applied Calculus

by Shana Calaway, Dale Hoffman, & David Lippman

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An openly licensed applied calculus textbook, covering derivatives, integrals, and an intro to multivariable calculus.

Description from LibreTexts.

Subjects
Mathematics, Calculus
Licence
CC BY 3.0, as LibreTexts states it
Who can read
Tweens profiles and older, judged from its title and subjects

Contents

LibreTexts writes equations in TeX, and here they show as TeX; the PDF has them typeset.

  1. Front Matter
  2. TitlePage
  3. InfoPage
  4. Table of Contents
  5. Introduction
  6. Licensing
  7. Outside Resources
  8. 1: Review
  9. 1.1: Functions
  10. 1.2: Operations on Functions
  11. 1.3: Linear Functions
  12. 1.4: Exponents
  13. 1.5: Quadratics
  14. 1.6: Polynomials and Rational Functions
  15. 1.7: Exponential Functions
  16. 1.8: Logarithmic Functions
  17. 1.E: Review (Exercises)
  18. 2: The Derivative
  19. 2.1: Prelude to the Derivative
  20. 2.2: Limits and Continuity
  21. 2.3: The Derivative
  22. 2.4: Power and Sum Rules for Derivatives
  23. 2.5: Product and Quotient Rules
  24. 2.6: Chain Rule
  25. 2.7: Second Derivative and Concavity
  26. 2.8: Optimization
  27. 2.9: Curve Sketching
  28. 2.10: Applied Optimization
  29. 2.11: Other Applications
  30. 2.12: Implicit Differentiation and Related Rates
  31. 2.E: The Derivative (Exercises)
  32. 3: The Integral
  33. 3.1: Prelude to the Integral
  34. 3.2: The Definite Integral
  35. 3.3: The Fundamental Theorem and Antidifferentiation
  36. 3.4: Antiderivatives of Formulas
  37. 3.5: Substitution
  38. 3.6: Additional Integration Techniques
  39. 3.7: Area, Volume, and Average Value
  40. 3.8: Applications to Business
  41. 3.9: Differential Equations
  42. 3.E: The Integral (Exercises)
  43. 4: Functions of Two Variables
  44. 4.1: Functions of Two Variables
  45. 4.2: Calculus of Functions of Two Variables
  46. 4.3: Optimization
  47. 4.E: Functions of Two Variables (Exercises)
  48. Back Matter
  49. Table of Integrals
  50. Index
  51. Glossary
  52. Detailed Licensing