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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. Who coined the term “fermion” in particle physics?
2. Johannes Kepler used calculus to determine that planets had what, according to the author in Chapter 5, “Infinite Zeros and Infidel Mathematicians”?
3. Newton's notation for differentiation uses what symbol placed over a function name to denote the time derivative of that function?
4. Where was Gottfried Wilhelm Leibniz from?
5. During what years did Georg Cantor live?
Short Essay Questions
1. What discovery did Friedrich Riemann make in the field of projective geometry?
2. How are electrons described in Chapter 8, “Zero Hour at Ground Zero”?
3. Who created calculus? How did calculus differ from the other mathematical fields, according to the author in Chapter 5, “Infinite Zeros and Infidel Mathematicians”?
4. Who discovered “absolute zero”? How is absolute zero defined in Chapter 7, “Absolute Zeros”?
5. What was discovered by Albert Einstein’s solution to the photoelectric effect?
6. How old is the universe estimated to be by astronomers today? How did they calculate this age?
7. How does the elimination of zero help general relativity theory, according to the author in Chapter 8, “Zero Hour at Ground Zero”?
8. How did l’Hopital address the problem of zero, according to the author in Chapter 5, “Infinite Zeros and Infidel Mathematicians”?
9. How is string theory described by the author in Chapter 8, “Zero Hour at Ground Zero”?
10. Who devised the concept of a limit in calculus? What problems did the limit solve?
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 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 3
Describe and discuss the concept of the “limit” proposed by Jean Le Ron D'Alembert and its impact on calculus and mathematics. What impact did the discoveries of Jean Le Ron D'Alembert have on the concepts of zero and infinity?
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This section contains 818 words (approx. 3 pages at 300 words per page) |
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