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This test consists of 5 short answer questions, 10 short essay questions, and 1 (of 3) essay topics.
Short Answer Questions
1. An electron has what kind of electric charge?
2. In what year did Albert Einstein publish a paper that explained experimental data from the photoelectric effect, leading to the quantum revolution?
3. What rule in calculus uses derivatives to help evaluate limits involving indeterminate forms?
4. What refers to an optical telescope that uses a single or combination of curved mirrors that reflect light and form an image?
5. During what years did Georg Cantor live?
Short Essay Questions
1. Who devised the concept of a limit in calculus? What problems did the limit solve?
2. What does the author say thermodynamics has taught us in Chapter 7, “Absolute Zeros”?
3. Who was Carl Gauss? What discovery did he make regarding imaginary numbers?
4. How does the elimination of zero help general relativity theory, according to the author in Chapter 8, “Zero Hour at Ground Zero”?
5. How many dimensions are required for string theory to work? How are these dimensions described in Chapter 8, “Zero Hour at Ground Zero”?
6. How old is the universe estimated to be by astronomers today? How did they calculate this age?
7. How did the field of quantum mechanics address the problem of zero in thermodynamics?
8. Who created calculus? How did calculus differ from the other mathematical fields, according to the author in Chapter 5, “Infinite Zeros and Infidel Mathematicians”?
9. What are differential equations? Who first developed differential equations?
10. What discovery did Friedrich Riemann make in the field of projective geometry?
Essay Topics
Write an essay for ONE of the following topics:
Essay Topic 1
Describe and discuss the biography and the philosophical, artistic, and mathematical contributions of Aristotle. How influential were Aristotle’s ideas in the formation of Western culture? How does the concept of zero impact Aristotle’s view?
Essay Topic 2
Discuss the biography and the mathematical and philosophical contributions of Archimedes of Syracuse. How did Archimedes first encounter the infinite? How did this discovery influence his work and the work of mathematicians after him?
Essay Topic 3
Describe and discuss the origins and history of mathematics within Islamic culture. When was the House of Wisdom built? Who first coined the term “algebra”? When was the term coined?
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This section contains 810 words (approx. 3 pages at 300 words per page) |
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