Are functions not cool enough for you anymore? If you want to learn about the Dirac-$$\delta$$ and the likes, this is the course for you!

How good can Taylor polynomials get to approximating transcendental functions? Given $$n \in \mathbb{Z}_{> 0}$$ and $$f(x)$$, can we find better polynomial approximations to $$f(x)$$ than the $$n$$th degree Taylor polynomial? Come find out why the answer is yes and how to compute these better approximations.

Do you live in a one dimensional world? If we did, you couldn't read this, so we don't. So single-variable calculus won't always do; we need multivariable calculus. Upgrade your symbols repertoire from $$ \frac{df}{dx} $$ to $$ \nabla f = \left\langle \frac{\partial f}{\partial x}, \frac{\partial f}{\partial y}, \frac{\partial f}{\partial z} \right\rangle $$ and $$ \int_a^b f(x) \, dx $$ to $$ \oint_{\partial S} \mathbf{F} \cdot d\mathbf{r} = \iint_S (\nabla \times \mathbf{F}) \, d\mathbf{S} $$, while learning how to use ALL of the fundamental tools of multivar in under hours!

Do you get jitters when the phrase "prove that" pops up in your math homework? Or do you get excited because you love proofs? If the answer is yes (and how could it not be?) then this is the class for you! We'll talk about what numbers really are (fields) and how we classify them, along with many other math topics, as we make our way through different methods and styles of proof.

Love calc? Can you recognize patterns? Want to see a new dimensions of math? COME!