Journey Through Genius: The Great Theorems of Mathematics Test | Final Test - Easy

William Dunham (mathematician)
This set of Lesson Plans consists of approximately 142 pages of tests, essay questions, lessons, and other teaching materials.

Journey Through Genius: The Great Theorems of Mathematics Test | Final Test - Easy

William Dunham (mathematician)
This set of Lesson Plans consists of approximately 142 pages of tests, essay questions, lessons, and other teaching materials.
Buy the Journey Through Genius: The Great Theorems of Mathematics Lesson Plans
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This test consists of 15 multiple choice questions and 5 short answer questions.

Multiple Choice Questions

1. Which name does NOT belong?
(a) Francois Viete
(b) Blaise Pascal.
(c) Renee Descartes.
(d) John Napier.

2. What is true about the successive squared denominator series proposed by the Bernoullis?
(a) The sum converges.
(b) The sum converges to 2.
(c) The sum diverges.
(d) The sum diverges into infinity.

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

4. How did Gauss feel about his best work?
(a) He was confident that his students would find it of great importance.
(b) He was confident that it would change mathematics.
(c) He was uncertain if it was useful.
(d) He was unceratin if it would be accepted by his collegues.

5. Where did Euler study at the age of 20?
(a) Cambrigde.
(b) The Academy in St. Petersburg.
(c) University of Moscow.
(d) Oxford.

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

7. What did Gauss do with his best work?
(a) He gave it to his son to publish.
(b) He gave it to his students.
(c) He published it.
(d) He did not publish it.

8. Who, in modern day, is given credit for the calculus method?
(a) Both Newton and Leibniz.
(b) Newton,
(c) Johann Bernoulli.
(d) Leibniz.

9. Where does the center of mathematical thinking shift to after Italy?
(a) To Britian and Scotland.
(b) To Germany and Russia.
(c) To France and Britian.
(d) To Turkey and Russia.

10. What was aleph naught?
(a) A symbol to represent the number of items in a set.
(b) A symbol to state the sum of a series.
(c) A method to numerate terms.
(d) A method to determine the sum of a series.

11. In his later life, what position did Isaac Newton hold?
(a) Angelican father.
(b) Warden of the Mint.
(c) Professor of philosophy in Paris.
(d) Principle science advisor to Charles II.

12. What were the main technique(s) that Euler used to find the sum of the series?
(a) Calculus methods.
(b) Quadratic sums,
(c) Trigonometry and basic algebra.
(d) Cubic equations.

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

14. What did Cantor struggle with later in his life?
(a) Leukemia.
(b) Blindness.
(c) Mental illness.
(d) Seizures.

15. What is true about real numbers between 0 and 1?
(a) They are not denumerable.
(b) There is no set for these numbers.
(c) They are denumerable,
(d) No sum can be determined.

Short Answer Questions

1. Which of the following is a quote from Bertrand Russell included by Dunham?

2. What hindered Euler's work as he grew older?

3. What did Cantor suspect about transfinite cardinals?

4. What did George Cantor discover?

5. What is one proof that Euler was able to prove?

(see the answer keys)

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