My name is Professor Remy and today we are going to learn about the number "e." You may be thinking why should I learn about this? It's probably not going to be applicable outside of the classroom. However, I have chosen to teach to you the number "e" because it actually is applicable outside of the classroom. If you follow this lesson closely, hopefully, you will see how!
The number e was discovered by the handsome gentleman featured below, Leonhard Euler.
Euler discovered that e is about equal to 2.71...how did he discover that? Using the formula:
Euler, as well as ourselves can see that as the value of this formula approaches e, n gets bigger and bigger.
So, in other words, we can also say that (1 + 1/n)^n converges to e and because of e, any positive base can be written as the power of e. EX: b = e^k
Finally, getting to the real world application of this, for to discover what the amount of an account with a continuously compounded interest rate you use the formula:
For example, if you deposit $1000 into an account that pays 8% annual interest compounded continuously, what if your balance after 1 year?
WOO! HOPE YOU ENJOYED THIS LESSON! IF NOT, I HOPE YOU AT LEAST ENJOY THIS VIDEO:
FOR MORE REFERENCES SEE:
Remy- I liked how you also posted a video for students who still don't understand the class! I also liked the first picture of the "e".
ReplyDeleteI think the visual aids are definitely helpful, and I appreciate the song!
ReplyDeleteHi Remy, your post was great! The song was definitely a great creative addition to your lesson!
ReplyDeleteremy,
ReplyDeletenice lesson! i like that you included a photo of euler and his funny face! loved the visual, too. i think i'll be able to remember e to more digits than i did before!
professor little