Fundamentals of Calculus

A textbook covering the first semester of a freshman calculus course.

Brief Contents:

  • An informal introduction to the derivative
  • Limits; techniques of differentiation
  • The second derivative
  • More about limits; curve sketching
  • More derivatives
  • Indeterminate forms and L’Hopital’s rule
  • From functions to variables
  • The integral
  • Basic techniques of integration
  • Applications of the integral