Imaginary Interest Rates - Lockdown Live Math
Offered By: 3Blue1Brown via YouTube
Course Description
Overview
Syllabus
Welcome.
Q1: Prompt (Would you take an imaginary interest rate).
"e to the pi i for dummies" video shoutout.
Q1: Results.
Q2: Prompt (two banks, two rates).
Ask: Beauty of connections in math.
Q2: Results.
Desmos for Q2.
Q3: Prompt (savings growth rate, 6% every 6mo).
Q3: Results.
Desmos graph explored.
Breaking down an interest rate.
An interesting interest equation.
Q4: Prompt (100*(1+0.12/n)^2 as n → ∞).
Ask: Quaternions.
Q4: Results.
Explaining Q4.
Defining e.
The definition of e from previous lectures.
The imaginary interest rate.
Graphing this relationship.
The imaginary interest rate animation.
Compounding continuously with i.
The spring & Hooke's law.
Q5: Prompt (Δx & Δv for a spring).
Ask: Rotation in for multiple dimensions.
Q5: Results.
Rewriting the spring's position.
Bringing it all together.
Ask: Hints on last lecture's homework.
Closing Remarks.
Taught by
3Blue1Brown
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