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This test consists of 5 multiple choice questions, 5 short answer questions, and 10 short essay questions.
Multiple Choice Questions
1. When did Sir Isaac Newton live?
(a) 1624-1680.
(b) 1559-1601.
(c) 1642-1727.
(d) 1707-1746.
2. Johannes Kepler used calculus to determine that planets had what, according to the author in Chapter 5, “Infinite Zeros and Infidel Mathematicians”?
(a) Movement.
(b) Circular orbits.
(c) Elliptical orbits.
(d) Circular movement.
3. Approximately when did Johannes Kepler live?
(a) 1611-1669.
(b) 1501-1559.
(c) 1571-1630.
(d) 1489-1550.
4. The absolute value of a number may be thought of as its distance from what?
(a) Itself.
(b) Zero.
(c) One.
(d) Two.
5. Quantum mechanics eliminated zero in classical thermodynamics by removing what, according to the author in Chapter 7, “Absolute Zeros”?
(a) Infinite energy.
(b) Electron pull.
(c) Magnetism.
(d) Gravity.
Short Answer Questions
1. Jean le Rond d'Alembert came up with what idea that solved the zero problem in calculus?
2. The Rayleigh–Jeans law revealed an important error in physics theory of its time. The law predicted an energy output that diverges towards infinity as wavelength approaches what?
3. According to the author in Chapter 6, “Infinity's Twin,” “i” appears whenever one takes the square root of what?
4. According to the author in Chapter 7, “Absolute Zeros,” Max Planck came up with a new equation that solved the ultraviolet catastrophe but implied that energy was released in discrete packets that have come to be called what?
5. Absolute zero has no energy and is unattainable for what reason?
Short Essay Questions
1. How were Georg Cantor’s mathematical principles applied to his theology? Who disagreed with his vision and why?
2. Who was Carl Gauss? What discovery did he make regarding imaginary numbers?
3. What problem does zero present when calculating tangent lines? What is a tangent?
4. How did the discovery of imaginary numbers affect the study of algebra?
5. What was discovered by Albert Einstein’s solution to the photoelectric effect?
6. What problem do black holes present in physics, according to the author in Chapter 8, “Zero Hour at Ground Zero”?
7. How did l’Hopital address the problem of zero, according to the author in Chapter 5, “Infinite Zeros and Infidel Mathematicians”?
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 discovery did Friedrich Riemann make in the field of projective geometry?
10. How did Max Planck address the problem of the ultraviolet catastrophe?
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This section contains 850 words (approx. 3 pages at 300 words per page) |
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