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

Multiple Choice Questions

1. What term refers to a physical constant that is the quantum of action in quantum mechanics?
(a) M-Theory.
(b) The Pythagorean theorem.
(c) The Golden Ratio.
(d) The Planck constant.

2. Where was Carl Gauss from?
(a) Spain.
(b) Germany.
(c) France.
(d) Belgium.

3. 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) Infinitesimal calculus.
(c) Quantum mechanics.
(d) Algebra.

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

5. When was Bernhard Riemann born?
(a) 1779.
(b) 1896.
(c) 1826.
(d) 1629.

6. When did Sir Isaac Newton live?
(a) 1559-1601.
(b) 1642-1727.
(c) 1707-1746.
(d) 1624-1680.

7. 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.

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

9. Absolute zero has no energy and is unattainable for what reason?
(a) Any attempt to get a space to absolute zero requires a black hole.
(b) Any attempt to get a space to absolute zero requires infinity.
(c) Any attempt to get a space to absolute zero exerts energy.
(d) Any attempt to get a space to absolute zero requires string distribution.

10. Jean le Rond d'Alembert came up with what idea that solved the zero problem in calculus?
(a) A derivative.
(b) An equation.
(c) A quanta.
(d) A limit.

11. The Leibniz–Newton calculus controversy was an argument between Sir Isaac Newton and Gottfried Leibniz over what?
(a) Who had first invented quantum mechanics.
(b) Who had first invented algebra.
(c) Who had first invented geometry.
(d) Who had first invented calculus.

12. 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) Integration.
(b) Disintegration.
(c) Division.
(d) Differentiation.

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

14. In the photoelectric effect, electrons are emitted from solids, liquids or gases when they do what?
(a) Depict energy from light.
(b) Approach zero.
(c) Absorb energy from light.
(d) Reflect energy from light.

15. When was Jean le Rond d'Alembert born?
(a) 1811.
(b) 1659.
(c) 1717.
(d) 1701.

Short Answer Questions

1. According to the author in Chapter 6, “Infinity’s Twin,” geometry shows that mathematically the north and south poles of spheres do what?

2. What term refers to a region of spacetime from which gravity prevents anything, including light, from escaping?

3. What refers to the geometric theory of gravitation published by Albert Einstein in 1916 and the current description of gravitation in modern physics?

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

5. According to the author in Chapter 5, “Infinite Zeros and Infidel Mathematicians,” Leibniz wanted to use infinitesimals in calculus which were termed what?

(see the answer keys)

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