|Name: _________________________||Period: ___________________|
This test consists of 5 multiple choice questions, 5 short answer questions, and 10 short essay questions.
Multiple Choice Questions
1. The author says in Chapter 6, “Infinity’s Twin” that by employing the concept of infinity, Johannes Kepler showed that ellipses and what were the same?
2. When was Philosophiæ Naturalis Principia Mathematica first published?
3. When was Gottfried Wilhelm Leibniz born?
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?
(a) Devour the black hole.
(b) Cross into space.
(c) Move backward in time.
(d) Move forward in time.
5. In mathematics, the cardinality of a set is a measure of what?
(a) The quantity of the number of the set combined.
(b) The number of possible derivatives of the set.
(c) The number of elements of the set.
(d) The inverse quality of the set.
Short Answer Questions
1. The mass of an electron is represented by what fraction in comparison with the mass of a proton?
2. What rule in calculus uses derivatives to help evaluate limits involving indeterminate forms?
3. Who coined the term “fermion” in particle physics?
4. Bishop Berkeley was a philosopher whose primary achievement was the advancement of a theory he called what?
5. In quantum mechanics, the concept of de Broglie waves reflects what?
Short Essay Questions
1. Who was Carl Gauss? What discovery did he make regarding imaginary numbers?
2. 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?
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. How does the elimination of zero help general relativity theory, according to the author in Chapter 8, “Zero Hour at Ground Zero”?
6. What discovery did Friedrich Riemann make in the field of projective geometry?
7. What problem does zero present when calculating tangent lines? What is a tangent?
8. How did Max Planck address the problem of the ultraviolet catastrophe?
9. How did l’Hopital address the problem of zero, according to the author in Chapter 5, “Infinite Zeros and Infidel Mathematicians”?
10. How is string theory described by the author in Chapter 8, “Zero Hour at Ground Zero”?
This section contains 851 words
(approx. 3 pages at 300 words per page)