Calculus in a Nutshell View more

Investigate the central ideas of calculus and learn how to put them to use.

Book 20 Lessons
Dumbbell Practice

Course description

Calculus has such a wide scope and depth of application that it's easy to lose sight of the forest for the trees.

This course takes a bird's-eye view, using visual and physical intuition to present the major pillars of calculus: limits, derivatives, integrals, and infinite sums. You'll walk away with a clear sense of what calculus is and what it can do.

Topics covered

  • Antiderivatives
  • Derivatives
  • Derivative rules
  • The Fundamental Theorem
  • Geometric applications
  • Geometric series
  • Infinite sums
  • Integrals
  • Limits
  • Riemann sums
  • Science applications
  • Tangent lines

Prerequisites and next steps

You’ll need an understanding of algebra and the basics of functions, such as domain and range, graphs, and intercepts.