# Sal's old Maclaurin and Taylor series tutorial

8 videos

Everything in this tutorial is covered (with better resolution and handwriting) in the "other" Maclaurin and Taylor series tutorial, but this one has a bit of old-school charm so we are keeping it here for historical reasons.

### Polynomial approximation of functions (part 1)

VIDEO
9:45 minutes

Using a polynomial to approximate a function at f(0).

### Polynomial approximation of functions (part 2)

VIDEO
10:03 minutes

Approximating a function with a polynomial by making the derivatives equal at f(0) (Maclauren Series)

### Approximating functions with polynomials (part 3)

VIDEO
7:13 minutes

A glimpse of the mystery of the Universe as we approximate e^x with an infinite series.

### Polynomial approximation of functions (part 4)

VIDEO
9:59 minutes

Approximating cos x with a Maclaurin series.

### Polynomial approximations of functions (part 5)

VIDEO
9:24 minutes

MacLaurin representation of sin x

### Polynomial approximation of functions (part 7)

VIDEO
10:18 minutes

The most amazing conclusion in mathematics!