Circles and lines are normally regarded as one-dimensional objects. However, when embedded in two-space, they require two coordinates $(x,y)$ to specify a...

A bit of a newbie question, but what exactly does tilde mean in this case? $$P(X>x) ∼ Cx^{−α}$$ This is in a context of some distribution (say Gaussian...

Suppose we flip a coin until we see a head. What is the expected value of the number of flips we will take? I am pretty new to expected value, so I tried ...

Suppose I have an ODE in the form: $ y'' + p(x)y' + q(x)y = f(x) $ Suppose now that I have obtained the solution to the equation $ y'&...

In Bill Tutte's famous book Graph Theory as I Have Known It he discusses Hassler Whitney's theorem on Hamiltonian cycles in planar graphs, summa...

I have a right trapezoid as follows; We have $h$, $b$ and $a$. For any $n$, I need to divide total area of trapezoid into equal parts. I have to find a ge...

As I was walking through campus today, I had an interesting question pop into my head: How can we prove that the period of $\tan(x)$ is $\pi$ rather than ...

I have been wanting to learn about linear algebra (specifically about vector spaces) for a long time, but I am not sure what book to buy, any suggestions?

Let $$x=1+\frac{1}{2+\frac{1}{1+\frac{1}{2+\frac{1}{...}}}};$$ then the value of $(2x-1)^2$ equals... I don't how to start this question. Please help.

I am wondering if there is a methodical, algorithmic, brain-dead way to factor polynomials. For example: $x^6 - 14x^{5} + 73x^{4} - 188x^{3} + 256x^{2} - ...