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The Exponential Function

By Gilbert Strang - MIT
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Lecture Description

Professor Strang explains how the magic number e connects to ordinary things like the interest on a bank account. The graph of y = e^x has the special property that its slope equals its height (it goes up exponentially fast!). This is the great function of calculus.

Course Description

Highlights of Calculus is a series of short videos that introduces the basic ideas of calculus — how it works and why it is important. The intended audience is high school students, college students, or anyone who might need help understanding the subject.

Related Resources

Lecture summary with practice problems (pdf with audio)   |  Lecture summary with practice problems (mp3)   |  Practice problems (pdf)

Course Index

  1. Professor Strang Introduces the Series
  2. Big Picture of Calculus
  3. Big Picture: Derivatives
  4. Max and Min and Second Derivatives
  5. The Exponential Function
  6. Big Picture: Integrals