Definitions
A number, b, ___ a number ,a, and write b|a, if there is an integer c so that a = bc.
What is divides (is a divisor, etc.)?
This famous experiment illustrated the wave-particle duality of particles.
What is the double-slit experiment?
This mathematician was shot and killed in a duel in 1831.
Who is Galois?
Maxwell's equations are all created by Maxwell.
What is a false statement?
A 623 nm laser has a power of 5 mW. Find the photons per second of the laser. (to at least the order of magnitude)
A set is ___ if it is closed and bounded.
What is compact?
This experiment was one of the first to measure the gravitational constant, G.
What is the Cavendish experiment?
This unit is the base unit of mass in the SI system.
What is a kilogram?
The set of the integers, Z, forms what an algebrist would call a ring.
What is a True statement?
A sniper sits atop a cliff, but he forgot how high up he is, so he grabs a rock, drops it, and times its fall. When it hit the ground, the stopwatch said 20s.
He knows his target is 29,986.585 m away, his gun shoots at 1500m/s, and that if he shoots completely parallel to the ground, it will hit. How tall is his target? (use feet, 1m = 3.281ft)
What is 5'9?
A matrix is ____ if there is a diagonal matrix D so that there exists an invertible P matrix so that P^{-1}AP = D.
What is diagonalizable?
This famous experiment demonstrated the quantization of angular momentum.
What is the Stern--Gerlach Experiment?
This hall houses the nursing department.
What is Anna Pearl Sherrick Hall?
The tachyon always travels faster than light.
What is a true statement?
(b) Then find the basis and dimension of the orthogonal complement of that line.
(a) What is (-3,-1,1)t for all t in R?
(b) What is dimension 2 with (1,-2,1) and (1,1,4)
Let V be a vector space and x,y in V. A mapping VxV to R (real numbers) that satisfies
(x,y)>= 0
(x,y)=(y,x)
(x,y+z)=(x,y)+(x,z)
(x,ay)=a(x,y).
What is an (real) inner-product?
The specific type of scattering which causes the sky to be blue.
What is Rayleigh scattering?
This agency has the highest amount of research expenditures at MSU.
What is the USDOD?
There are equal parts biology and non-biology focused professors in the math faculty.
What is a false statement? (There are 6 and a half biology-centered professors, 7 and a half non-biology-centered professors)
Show that f(x) = 3x-3 is uniformly continuous at x = 1.
Let epsilon>0? Suppose |x-1|<delta? Choose delta = epsilon/3?
|f(x) - f(1)| = |3x-3| = 3|x-1| < 3delta = epsilon???
This function is ____ at a point y in its domain D, if there exists an m>0, so that for n>0, |x-y|<1/n, y in D, and |f(x)-f(y)|>= 1/m
What is not continuous?
This experimentalist discovered a specific kind of random motion of pollen and dye particles moving through water and the motion was named after him.
Who is (Robert) Brown?
MSU requires a total of this many M or STAT courses to finish a math degree. (within an error of 5 credits)
What is 52?
Tyler Delridge currently attends Montana State University.
What is a true statement???
Observe the circuit on the board. Find the magnitude of the gain (ratio of vout/vin) for this circuit.
What is sqrt{(w^2L^2)/(w^2L^2 + R^2)}?