Aspects of Equation
Real World Use
Practice
100
The meaning of a '!' to the right of a number or variable
What is a factorial?
100
The general use of Taylor series (hint: approximating...)
What is approximating seemingly impossible / complex equations?
100
The equation for calculating/the first step of a Taylor polynomial problem with an order of 2.
What is T₂(x)= f(a)/0! + f'(a)(x-a)/1! + f''(a)((x-a)^2)/2!
200
Meaning of n
What is the order?
200
Give a real world example for using a Taylor Series?
What is simulating a car crash?
What is calculating air flow?
200
Calculate a FIRST order problem when f(x) = sin(x) and a = pi.
Answer: T₁(x)= (pi-x)/ 1!
300
Meaning of the values on the top or bottom of a sigma?
What are the max and minimum limits?
300
NAME of the equation(s) used to describe real-world things? (said in the video... the long scary equation)
What are differential or partial differential equations?
300
Calculate the THIRD order when f(x) = sin and a = π.
T₃(x)= (pi-x/1!) + (x-pi)^3/3!