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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 term refers to a branch of pure mathematics devoted primarily to the study of the integers?
(a) Geometry.
(b) Algebra.
(c) Number theory.
(d) Classical physics.

2. What refers to an optical telescope that uses a single or combination of curved mirrors that reflect light and form an image?
(a) An Alhazen’s telescope.
(b) A chromatic telescope.
(c) A refracting telescope.
(d) A reflecting telescope.

3. 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?
(a) Strings.
(b) Derivatives.
(c) Quanta.
(d) Photons.

4. What term refers to an elementary particle, the quantum of light and all other forms of electromagnetic radiation?
(a) Radon.
(b) Nucleus.
(c) Photon.
(d) Electron.

5. What refers to a now-obsolete theory and model developed as an alternative to the Big Bang theory of the universe's origin?
(a) Infinity Completion theory.
(b) Regulation theory.
(c) Steady State theory.
(d) Magnum Impulse theory.

Short Answer Questions

1. Calculus allowed Newton to combine the known natural laws of physics into one grand set of laws that could be expressed as what?

2. 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?

3. An electron has what kind of electric charge?

4. 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?

5. According to the author in Chapter 6, “Infinity's Twin,” “i” appears whenever one takes the square root of what?

Short Essay Questions

1. 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”?

2. How did the discovery of imaginary numbers affect the study of algebra?

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

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

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

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

7. How is string theory described by the author in Chapter 8, “Zero Hour at Ground Zero”?

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

9. What discovery did Friedrich Riemann make in the field of projective geometry?

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

(see the answer keys)

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