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

2. What did Dunham consider as Archimedes's "masterpiece"?
(a) Archimedes' work on shperes, cones, and cylinders.
(b) Archimedes' work on determining a number value for pi.
(c) Archimedes' work on determining angular measurements.
(d) Archimedes' work on volume to surface area ratios.

3. How did Archimedes arrive at a number value for pi?
(a) By proving pi could not be equal to one.
(b) By constructing successively smaller circles inside circles until he realized all of their ratios of diameter to area were equal.
(c) By proving that pi could not be a negative number.
(d) By constructing multi-sided polygons inside and outside a circle and determining their perimeters.

4. What name did Euclid give for numbers that could be divided by numbers other than themselves and one?
(a) Discrete numbers.
(b) Composite numbers.
(c) Even numbers.
(d) Perfect numbers.

5. Besides being a mathematician, what else other work was Archimedes famous for?
(a) Artist and musician.
(b) Politician.
(c) Inventor and scientist.
(d) Doctor and writer,

Short Answer Questions

1. What did Hippocrates do that advanced mathematical methods?

2. Which of the following was an important proposition given by Euclid's number theory?

3. What did Archimedes manage to prove using Euclid's ideas?

4. What else, besides a solution to cubic equations, was in Cardano's book?

5. In Elements, how many postulates must be accepted as given?

(see the answer key)

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