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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. When was Jean le Rond d'Alembert born?
2. What kind of stars did the Hubble space telescope use to measure the size of the universe?
3. What term refers to a region of spacetime from which gravity prevents anything, including light, from escaping?
4. Who coined the term “fermion” in particle physics?
5. When was Philosophiæ Naturalis Principia Mathematica first published?
Short Essay Questions
1. How did l’Hopital address the problem of zero, according to the author in Chapter 5, “Infinite Zeros and Infidel Mathematicians”?
2. Who created calculus? How did calculus differ from the other mathematical fields, according to the author in Chapter 5, “Infinite Zeros and Infidel Mathematicians”?
3. What discovery did Georg Cantor make regarding different types of infinities? How are these types defined?
4. How does the elimination of zero help general relativity theory, according to the author in Chapter 8, “Zero Hour at Ground Zero”?
5. What was discovered by Albert Einstein’s solution to the photoelectric effect?
6. What problems were encountered in calculus with zero? How did zero apply to the physical world, according to the author in Chapter 5, “Infinite Zeros and Infidel Mathematicians”?
7. How did the field of quantum mechanics address the problem of zero in thermodynamics?
8. The author states in Chapter 6, “Infinity’s Twin” that before imaginary numbers could be accepted, several developments had to occur. Which was the first?
9. What are differential equations? Who first developed differential equations?
10. How old is the universe estimated to be by astronomers today? How did they calculate this age?
Essay Topics
Write an essay for ONE of the following topics:
Essay Topic 1
Discuss the work of Sir Isaac Newton, Gottfried Wilhelm Leibniz, Johannes Kepler, and the origins and development of calculus. When did Newton and Leibniz independently create calculus? What conflict occurred between the two? When did this conflict end?
Essay Topic 2
Describe and discuss the advancements made in mathematics, music, and philosophy by Pythagoras. What is the Pythagorean Theorem? When was it developed? What were the beliefs of the Pythagoreans?
Essay Topic 3
Discuss the origins, development, and contributions of Babylonian mathematics. How did the Babylonian numeral system differ from that of the ancient Egyptians? Where has most of our information of Babylonian mathematics been derived?
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This section contains 791 words (approx. 3 pages at 300 words per page) |
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