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

2. What is the study of geometric properties that are invariant under projective transformations?
(a) Projective geometry.
(b) General relativity.
(c) Classical relativity.
(d) Projective algebra.

3. Approximately when did Johannes Kepler live?
(a) 1571-1630.
(b) 1489-1550.
(c) 1611-1669.
(d) 1501-1559.

4. What mathematical term refers to a function that preserves distinctness by never mapping distinct elements of its domain to the same element of its codomain?
(a) Injective function.
(b) Derivative function.
(c) Bijective function.
(d) Differential equation.

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) 15 billion years.
(c) 4 billion years.
(d) 10 billion years.

Short Answer Questions

1. The author notes in Chapter 6, “Infinity's Twin” that multiplying zero or infinity by itself equals what?

2. What refers to an optical telescope that uses a single or combination of curved mirrors that reflect light and form an image?

3. 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?

4. What principle holds that there is an inverse relation between the fineness with which a particular's location can be determined and the fineness with which its velocity can be determined?

5. What refers to a now-obsolete theory and model developed as an alternative to the Big Bang theory of the universe's origin?

Short Essay Questions

1. How are electrons described in Chapter 8, “Zero Hour at Ground Zero”?

2. How did l’Hopital address the problem of zero, according to the author in Chapter 5, “Infinite Zeros and Infidel Mathematicians”?

3. How does the elimination of zero help general relativity theory, according to the author in Chapter 8, “Zero Hour at Ground Zero”?

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

5. How were Georg Cantor’s mathematical principles applied to his theology? Who disagreed with his vision and why?

6. How did Max Planck address the problem of the ultraviolet catastrophe?

7. What are differential equations? Who first developed differential equations?

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

9. Who discovered “absolute zero”? How is absolute zero defined in Chapter 7, “Absolute Zeros”?

10. What problems were encountered in calculus with zero? How did zero apply to the physical world, according to the author in Chapter 5, “Infinite Zeros and Infidel Mathematicians”?

(see the answer keys)

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