Ge-Alge-Trig: Elements of Geometry, Algebra, & Trigonometry

This free course is intended to provide a core of the mathematical skills that are used in college level science, technology, engineering, and mathematics (STEM) courses. It is not completed and will be completed as time permits. In these days of standardized tests, geometry, algebra, and trigonometry are integrated.

There are arguments for this pro-and-con. Formal proofs and derivations tend to be sacrificed for the sake of applied and integrated problems. That's fine as long as the concepts and formulas aren't thrown at a student, "here, use this," without them knowing where it comes from.

The course is a guide while learning in class (not a substitute for class) OR a quick review of the math we all need to brush up on from time to time. I have an agenda with it: to refer to these lectures, or even present them in class, when STEM students aren't on board with what's assumed in a college course. About half of the lectures are completed with about half of the video time consumed: free courses must remain under 2 hours.

Here are the lecture descriptions:Parallel Lines Cut by a Transect [completed]We start with some elementary definitions of lines, rays, and angles, and then learn the equivalences of the angles around two parallel lines cut by another line. This leads to a proof: the sum of the interior angles of a triangle sum to 180 degrees. These relationships and the proof set the stage for studying the properties of other geometric figures, and are applied in many drawings to describe and solve problems in science, technology, engineering, and mathematics (STEM).