ModelCourses/Reform Calculus

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This calculus model covers the entire calculus sequence from a reform point of view. A specific course can be created from this mega-course by choosing choosing the appropriate topics (and deleting the rest).

Try out Reformed Calculus

  • Properties of elementary functions
  • Find limits.
  • Concepts of continuity and differentiability
  • Symbolically compute derivatives.
  • Find derivatives graphically and numerically.
  • Solve optimization problems
  • Solve related rates problems
  • Local linearity
  • The geometric interpretation of the integral
  • Riemann Sums.
  • Integrate basic functions.
  • Fundamental theorem of calculus.
  • Symbolically integrate functions using a variety of techniques.
  • Find integrals numerically.
  • Determine if an improper integral converges or diverges.
  • Compute volumes of rotation
  • Apply knowledge of integration in an applied setting.
  • Compute Taylor and McLaurin Series.
  • Determine if a sequence converges or diverges
  • Determine if a series converges or diverges
  • Solve simple differential equations