HartleyMath

It's all about derivatives. We start with limits, build up to derivatives, and then learn how to find derivatives and how to apply them (any time things are changing, there's a derivative). At the end of the course, we're introduced to the derivative's long-lost twin: the integral.

It's mostly about integrals. We'll fill our toolbox with methods to evaluate integrals and we'll learn how they can be applied (any time we add up lots of little contributions, there's an integral). Then we shift gears to look at differential equations (one of the most useful areas in all of math), and finish up with infinite sequences and series, which build to a crescendo with Taylor Series.

Step it up to 3 dimensions and beyond! Here we go back to derivatives and integrals, but in higher dimensions; we'll learn about partial derivatives, multiple integrals, and how to apply them. First, though, we'll need a few prerequisites like alternate coordinate systems, parametric curves, and vectors.

From baseball games to national elections, the analysis of data leads to decisions both big and small. If we gather data, how can we draw conclusions from it? In this course, we'll learn how to gather data, how to summarize and explain it, and how to make inferences from it.

For those who simply need a survey of some mathematical applications, rather than a rigorous study, this open-source textbook created and used by the faculty at Frederick Community College provides an introduction to topics like financial math, probability, statistics, and logic.