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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 refers to an optical telescope that uses a single or combination of curved mirrors that reflect light and form an image?
2. In what year was Albert Einstein awarded the Nobel Prize in 1921 for his “discovery of the law of the photoelectric effect”?
3. According to the author in Chapter 7, “Absolute Zeros,” thermodynamics have taught us that there are many things we cannot do, such as building what?
4. According to the author in Chapter 8, “Zero Hour at Ground Zero,” some physicists think the merging of a particle and a black hole creates a tachyon or a particle with imaginary mass that could do what?
5. What refers to an indeterminate polynomial equation that allows the variables to take integer values only?
Short Essay Questions
1. What are differential equations? Who first developed differential equations?
2. Who devised the concept of a limit in calculus? What problems did the limit solve?
3. How are electrons described in Chapter 8, “Zero Hour at Ground Zero”?
4. How were Georg Cantor’s mathematical principles applied to his theology? Who disagreed with his vision and why?
5. How did l’Hopital address the problem of zero, according to the author in Chapter 5, “Infinite Zeros and Infidel Mathematicians”?
6. What was discovered by Albert Einstein’s solution to the photoelectric effect?
7. What discovery did Georg Cantor make regarding different types of infinities? How are these types defined?
8. How did the discovery of imaginary numbers affect the study of algebra?
9. How did Max Planck address the problem of the ultraviolet catastrophe?
10. How is string theory described by the author in Chapter 8, “Zero Hour at Ground Zero”?
Essay Topics
Write an essay for ONE of the following topics:
Essay Topic 1
Discuss the biography and work of Filippo Brunelleschi and the introduction of linear perspective. What did paintings look like before the invention of the vanishing point? How did Brunelleschi discover the concept of the vanishing point? How did this concept involve zero?
Essay Topic 2
Describe and discuss the biography and works of Leonardo Fibonacci during the Middle Ages, and Fibonacci’s influence in spreading the Hindu–Arabic numeral system in Europe. What is the Fibonacci number sequence? What works did Fibonacci write?
Essay Topic 3
Discuss the origins, history, and evolution of mathematics in ancient Egypt. How was geometry developed in Egypt? How did the Egyptians use mathematics in the creation of the pyramids? How did the Nile relate to their use of mathematics?
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This section contains 864 words (approx. 3 pages at 300 words per page) |
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