Lynn West Bellevue, NE In partial fulfillment of the requirements for the Master of Arts in Teaching with a Specialization in the Teaching of Middle Level Mathematics in the Department of Mathematics.

Choices: With or without replacement? When you are choosing several things, can you choose the same thing more than once? If so, you are choosing with replacement.

Unlike the binomial distribution, we don't know the number of trials in advance.

Lesson Overview To solve the (linear, homogeneous, constant di erential equation

Lesson Overview We are given the Laplace transform L ffg of a function, and we try to reconstruct the original function f(t).

means you guess something that looks like g(t), but has generic coe cients. Then you plug it in and solve for the coe cients.

time amount of pollution/population amount of savings or debt Write di erential equation:

Lesson Overview Autonomous di erential equations have the form y0 = f(y). (No x or t appears on the right.)

Lesson Overview Guess a power series solution and calculate its derivatives:

Lesson Overview The Fourier series for a function f(x) is an expansion into sines and cosines as follows: