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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. What rule in calculus uses derivatives to help evaluate limits involving indeterminate forms?
(a) L'Hôpital's rule.
(b) The Golden Ratio.
(c) The Pythagorean Theorem.
(d) General relativity.

2. In quantum mechanics, the concept of de Broglie waves reflects what?
(a) The Big Bang Theory.
(b) The emergence of black holes.
(c) The wave-particle duality of matter.
(d) The gravitational pull of the earth’s poles.

3. Carl Gauss referred to mathematics as what?
(a) “The queen of sciences.”
(b) “The key to philosophy.”
(c) “Theology’s twin.”
(d) “The end of science.”

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) Move backward in time.
(b) Move forward in time.
(c) Cross into space.
(d) Devour the black hole.

5. The author asserts in Chapter 8, “Zero Hour at Ground Zero” that today astronomers estimate the universe as being how old?
(a) 2 billion years.
(b) 4 billion years.
(c) 15 billion years.
(d) 10 billion years.

Short Answer Questions

1. In Chapter 8, “Zero Hour at Ground Zero,” the author states that the Hubble telescope saw that most galaxies were flying away from one another by using red-shifting and blue-shifting effects, the cosmological equivalent of what?

2. What term refers to the production of nuclei other than those of the lightest isotope of hydrogen during the early phases of the universe?

3. Quantum mechanics eliminated zero in classical thermodynamics by removing what, according to the author in Chapter 7, “Absolute Zeros”?

4. When was Lord Kelvin born?

5. The author asserts in Chapter 6, “Infinity's Twin” that with the introduction of imaginary numbers, the fundamental theorem of what mathematical branch was discovered?

Short Essay Questions

1. Who created calculus? How did calculus differ from the other mathematical fields, according to the author in Chapter 5, “Infinite Zeros and Infidel Mathematicians”?

2. Who was Carl Gauss? What discovery did he make regarding imaginary numbers?

3. What is expressed through the Rayleigh-Jeans law? How does this law relate to zero?

4. What problem does zero present when calculating tangent lines? What is a tangent?

5. How did the field of quantum mechanics address the problem of zero in thermodynamics?

6. How does the elimination of zero help general relativity theory, 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. What are differential equations? Who first developed differential equations?

9. What problem do black holes present in physics, according to the author in Chapter 8, “Zero Hour at Ground Zero”?

10. What was discovered by Albert Einstein’s solution to the photoelectric effect?

(see the answer keys)

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