Fundamentals of Calculus

Fundamentals of Calculus

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This open-source book by Crowell, Robbin, and Angenent is a spin-off of a previous open-source book by Robbin and Angenent. It covers the first semester of a freshman calculus course.

Supplemental material and print edition are available.

  1. An informal introduction to the derivative 

  2. Limits; techniques of differentiation 

  3. The second derivative 

  4. More about limits; curve sketching 

  5. More derivatives 

  6. Indeterminate forms and L’Hôpital’s rule 

  7. From functions to variables 

  8. The integral

  9. Basic techniques of integration 

  10. Applications of the integral 

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  • Calculus
  • Mathematics
  • Mathematics / Calculus
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