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Maclaurin series and Euler's identity

In this tutorial, we will learn to approximate differentiable functions with polynomials. Beyond just being super cool, this can be useful for approximating functions so that they are easier to calculate, differentiate or integrate. So whether you will have to write simulations or become a bond trader (bond traders use polynomial approximation to estimate changes in bond prices given interest rate changes and vice versa), this tutorial could be fun.If that isn't motivation enough, we also...

Topics: Calculus, General Mathematics
Cost: Free

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Description

In this tutorial, we will learn to approximate differentiable functions with polynomials. Beyond just being super cool, this can be useful for approximating functions so that they are easier to calculate, differentiate or integrate. So whether you will have to write simulations or become a bond trader (bond traders use polynomial approximation to estimate changes in bond prices given interest rate changes and vice versa), this tutorial could be fun.If that isn't motivation enough, we also come up with one of the most epic and powerful conclusions in all of mathematics in this tutorial: Euler's identity.

Details

  • Days of the Week: Monday, Tuesday, Wednesday, Thursday, Friday, Saturday, Sunday
  • Level of Difficulty: Beginner
  • Size: One-on-One
  • Instructor: Sal Khan
  • Cost: Free
  • Institution: Khan Academy
  • Topics: Calculus, General Mathematics

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About Khan Academy: Khan Academy is an organization on a mission. Khan Academy is a not-for-profit with the goal of changing education for the better by providing a free world-class education for anyone anywhere.

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