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Applied Calculus

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Applied Calculus

Page notifications On picture_as_pdf Readability Cite this page An openly licensed applied calculus textbook, covering derivatives, integrals, and an intro to multivariable calculus.

Mathematics
Author
Shana Calaway, Dale Hoffman, & David Lippman
Publisher
LibreTexts
Source
LibreTexts
License
CC BY
Language
EN
Category
Basic Sciences
Read online Download PDF (open licence)
Contents· 52 sections
  1. 01: The Derivative
  2. 1.01: Prelude to the Derivative
  3. 1.02: Limits and Continuity
  4. 1.03: Derivative using Limits of Difference Quotients Average Rate of Change
  5. 1.04: Power and Sum-Difference Rules
  6. 1.05: Product and Quotient Rules
  7. 1.06: Chain Rule
  8. 1.07: Higher Order Derivatives
  9. 1.E: Instantaneous Rate of Change- The Derivative (Exercises)
  10. 1.E: The Derivative (Exercises)
  11. 02: Exponential and Logarithmic functions
  12. 2.01: Exponents
  13. 2.02: Exponential Functions
  14. 2.03: Logarithmic Functions
  15. 2.04: Derivatives of the Exponential and Logarithmic Functions
  16. 2.05: Exponential Growth and Decay
  17. 03: Applications of Differentiation
  18. 3.01: Curve Sketching
  19. 3.02: Second Derivative and Concavity
  20. 3.03: Optimization
  21. 3.04: Applied Optimization
  22. 3.05: Implicit Differentiation and Related Rates
  23. 04: The Integral
  24. 4.01: Prelude to the Integral
  25. 4.02: Antidifferentiation
  26. 4.03: Antiderivatives as Areas
  27. 4.04: The Fundamental Theorem and Antidifferentiation
  28. 4.05: Area Average Value and Volume
  29. 4.06: Substitution
  30. 4.07: Applications to Business
  31. 4.E: The Integral (Exercises)
  32. 05: Functions of Several Variables
  33. 5.01: Functions of Two Variables
  34. 5.02: Calculus of Functions of Two Variables
  35. 5.03: Partial Derivatives
  36. 5.04: Maximum and Minimum Values
  37. 5.05: Optimization
  38. 5.06: Critical Points and Extrema
  39. 5.E: Functions of Two Variables (Exercises)
  40. 06: Algebra Review
  41. 6.01: Prelude to Functions and Graphs
  42. 6.02: Functions
  43. 6.03: Relations Graphs and Functions
  44. 6.04: Set-Builder and Interval Notations
  45. 6.05: Operations on Functions
  46. 6.06: Linear Functions
  47. 6.6.01: Slope
  48. 6.6.02: Equations of Lines
  49. 6.6.2.01: The Point-Slope Form of a Line
  50. 6.07: Quadratics
  51. 6.08: Polynomials and Rational Functions
  52. 6.E: Review (Exercises)