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This quiz consists of 5 multiple choice and 5 short answer questions through The Bernoullis and the Harmonic Series.

Multiple Choice Questions

1. What did Newton's calculus involve?
(a) Determining the volume of a sphere.
(b) Determining the area under a curve.
(c) Proving the cubic equation.
(d) Proving the existance of pi.

2. Which phrase best describes Newton as a student at Cambridge?
(a) Tolerant, mildly interested in science.
(b) Quiet recluse of no intelligence.
(c) Unnoticed, but remarkable.
(d) A highly praised genius.

3. Which of the following demonstrates the successive squared denominator series?
(a) 1 + 1/2 + 1/3 + 1/4 + 1/5 . . . 1/1000 . . .
(b) 1 + 1/4 + 1/9 + 1/16 . . .
(c) 1 + 1/2 + 1/6 + 1/10 + 1/15 . . .
(d) 1 + 1/2 + 3/4 + 4/5 . . .

4. What was Euclid's definition of a prime number?
(a) Numbers which are divisible by 2.
(b) Numbers which can only be divided by themselves and 1.
(c) Numbers which do not, and can not, contain a perfect number.
(d) Numbers which contain an infinite number of composite numbers.

5. Who was the author of the book Elements?
(a) Einstein.
(b) Lindemann.
(c) Euclid.
(d) Hippocrates.

Short Answer Questions

1. Which words best describe how solid proofs were developed in Elements?

2. How did Archimedes arrive at a number value for pi?

3. "Straight lines in the same plane that will never meet if extended forever" is a definition of what?

4. Which of the following was NOT one of Gauss' discoveries?

5. What did Dunham describe about the following series 1 + 2 + 3 + 4. . .?

(see the answer key)

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