Even More Math

fun

We'll look at some basic results of rings and look at some examples. We'll also define a field and look at some examples. (Session date TBD)

We switch gears to the topic of basic number theory! This will be the springboard of more complicated stuff in the future. We'll begin the topic with divisibility and Bézout's lemma. If there is anything you should carry away from this session, be sure to carry away the logic of the proof for Bézout's lemma. (Session date TBD)

We will review the geometry of space and vectors. And get introduced to lines, vector valued functions, curvature, and quadric surfaces.

We will discuss functions of many variables, partial derivatives, and limits.

We will cover differentiability and tangent planes.

We will cover the gradient and chain rule.

We will discuss maxima and minima, optimization, and critical points.

We will discuss Lagrange multipliers.

We will review multivariable differentiation.

We will discuss multivariable integration, integration in other coordinate systems, and applications of integration.

We will discuss divergence and curl.

We will discuss line and surface integrals, Green's theorem, Stokes' theorem, and Gauss' Divergence theorem.