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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. What term in theoretical physics refers to an extension of string theory in which 11 dimensions of spacetime are identified?
2. Who coined the term “fermion” in particle physics?
3. The antiparticle of the electron is called what?
4. According to the author in Chapter 5, “Infinite Zeros and Infidel Mathematicians,” Leibniz wanted to use infinitesimals in calculus which were termed what?
5. When was Jean le Rond d'Alembert born?
Short Essay Questions
1. 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?
2. How old is the universe estimated to be by astronomers today? How did they calculate this age?
3. What discovery did Georg Cantor make regarding different types of infinities? How are these types defined?
4. Who discovered “absolute zero”? How is absolute zero defined in Chapter 7, “Absolute Zeros”?
5. What are differential equations? Who first developed differential equations?
6. How did the discovery of imaginary numbers affect the study of algebra?
7. How were Georg Cantor’s mathematical principles applied to his theology? Who disagreed with his vision and why?
8. How many dimensions are required for string theory to work? How are these dimensions described in Chapter 8, “Zero Hour at Ground Zero”?
9. How did l’Hopital address the problem of zero, according to the author in Chapter 5, “Infinite Zeros and Infidel Mathematicians”?
10. Who was Carl Gauss? What discovery did he make regarding imaginary numbers?
Essay Topics
Write an essay for ONE of the following topics:
Essay Topic 1
Discuss the life and work of Zeno of Elea. What philosophical and mathematical discoveries did Zeno make? What is the definition of paradox? What paradox of Zeno’s is discussed in the book?
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 work and discoveries of René Descartes, and the development of the Cartesian coordinate system. How did the Cartesian coordinate system affect geometry and algebra? How did Descartes relate his mathematical discoveries to his philosophies and theological beliefs?
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This section contains 787 words (approx. 3 pages at 300 words per page) |
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