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This test consists of 15 multiple choice questions and 5 short answer questions.

Multiple Choice Questions

1. The operation of finding the area under a curve is now called what, according to the author in Chapter 5, “Infinite Zeros and Infidel Mathematicians”?
(a) Differentiation.
(b) Integration.
(c) Division.
(d) Disintegration.

2. Bosonic string theory was developed in what decade?
(a) 1980s.
(b) 1960s.
(c) 1950s.
(d) 1890s.

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

4. 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?
(a) Zero.
(b) Pi.
(c) One.
(d) The sun.

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

6. What term refers to numbers that are "infinite" in the sense that they are larger than all finite numbers, yet not necessarily absolutely infinite?
(a) Derivative numbers.
(b) Quantitative numbers.
(c) Transfinite numbers.
(d) Pythagorean numbers.

7. The author suggests in Chapter 8, “Zero Hour at Ground Zero” that zero might spawn universes through a froth of what?
(a) Quantum gravity.
(b) Quantum memory.
(c) Quantum disparity.
(d) Quantum foam.

8. What mathematical term refers to a function giving an exact pairing of the elements of two sets?
(a) Injection.
(b) Infinity.
(c) Derivation.
(d) Bijection.

9. The antiparticle of the electron is called what?
(a) Positron.
(b) Neutron.
(c) Derivative.
(d) Proton.

10. Bishop Berkeley was a philosopher whose primary achievement was the advancement of a theory he called what?
(a) “The Golden Ratio.”
(b) “String theory.”
(c) “Calculus.”
(d) "Immaterialism."

11. When was Gottfried Wilhelm Leibniz born?
(a) 1611.
(b) 1646.
(c) 1711.
(d) 1559.

12. 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?
(a) A perpetual motion machine.
(b) An adequate polarizing system.
(c) A lunar calendar.
(d) A solar calendar.

13. What refers to the branch of mathematics concerned with finding tangent lines to curves, areas under curves, minima and maxima, and other geometric and analytic problems?
(a) Geometry.
(b) Algebra.
(c) Infinitesimal calculus.
(d) Quantum mechanics.

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

15. In particle physics, what refers to a proposed symmetry of nature relating two basic classes of elementary particles: bosons and fermions?
(a) A limit.
(b) Supersymmetry.
(c) A black hole.
(d) Verisimilitude.

Short Answer Questions

1. 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?

2. Lord Kelvin is well known for determining the correct value of absolute zero. Absolute zero is approximately what temperature Celsius?

3. 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?

4. The Leibniz–Newton calculus controversy was an argument between Sir Isaac Newton and Gottfried Leibniz over what?

5. Where was Lord Kelvin born?

(see the answer keys)

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