Quote of the Day: "There is a famous formula, perhaps the most compact and famous of all formulas -- developed by Euler from a discovery of deMoivre: e^(i pi) + 1 = 0... It appeals equally to the mystic, the scientist, the philosopher, the mathematician." -- Edward Kasner and James Newman Objectives: The student will discover the values of e and pi. The student will learn two definitions of e. The student will solve exponential equations. 1. Collect homework. 2. What is the difference between
The first is a quadratic; the second is an exponential function. The first is a variable to a constant power; the second is a constant raised to a variable power. 3. To discover the value of e: (USE CALCULATOR)
4. This leads to two definitions of e:
5. Information sheet on e 6. History of Pi sheet 7. Top Ten Lists for e and pi 8. Humorous uses of e In the IPO filing for Google, Inc., in 2004, rather than a typical round-number amount of money, the company announced its intention to raise $2,718,281,828, which is, of course, e billion dollars to the nearest integer. Google was also the culprit of a mysterious billboard that appeared in the heart of Silicon Valley, which read '{first 10-digit prime found in consecutive digits of e}.com'. Once solving this problem, and visiting the web site advertised, an even more difficult problem was presented. 9. To solve an exponential equation:
10. Chain Letters and Pyramid Schemes
11. Formulas involving e:12. Poems and Songs about pi and e Click here for Poem about the Pi Man Click here for Poem about Pi Click here for Poem about Biblical Pi Click here for Poem about Pi and the Circle Click here for Poem about Pi Click here for Poem about E Click here for Poem about E and Pi Click here for Poem about E to the Pi * i Click here for Song about the History of Pi Click here for Jokes about Pi 13. Another Pi Joke Pie are not square. Pie are round. Cornbread are square. 14. Assignment: p. 74 (8b, 9, 12b, 13, 15, 17, 19, 21, 23, 25) Logarithm Cut-out sheet
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