Imaginary Interest Rates - Lockdown Live Math

Imaginary Interest Rates - Lockdown Live Math

3Blue1Brown via YouTube Direct link

Q3: Prompt (savings growth rate, 6% every 6mo)

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9 of 31

Q3: Prompt (savings growth rate, 6% every 6mo)

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Imaginary Interest Rates - Lockdown Live Math

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  1. 1 Welcome
  2. 2 Q1: Prompt (Would you take an imaginary interest rate)
  3. 3 "e to the pi i for dummies" video shoutout
  4. 4 Q1: Results
  5. 5 Q2: Prompt (two banks, two rates)
  6. 6 Ask: Beauty of connections in math
  7. 7 Q2: Results
  8. 8 Desmos for Q2
  9. 9 Q3: Prompt (savings growth rate, 6% every 6mo)
  10. 10 Q3: Results
  11. 11 Desmos graph explored
  12. 12 Breaking down an interest rate
  13. 13 An interesting interest equation
  14. 14 Q4: Prompt (100*(1+0.12/n)^2 as n → ∞)
  15. 15 Ask: Quaternions
  16. 16 Q4: Results
  17. 17 Explaining Q4
  18. 18 Defining e
  19. 19 The definition of e from previous lectures
  20. 20 The imaginary interest rate
  21. 21 Graphing this relationship
  22. 22 The imaginary interest rate animation
  23. 23 Compounding continuously with i
  24. 24 The spring & Hooke's law
  25. 25 Q5: Prompt (Δx & Δv for a spring)
  26. 26 Ask: Rotation in for multiple dimensions
  27. 27 Q5: Results
  28. 28 Rewriting the spring's position
  29. 29 Bringing it all together
  30. 30 Ask: Hints on last lecture's homework
  31. 31 Closing Remarks

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