A Mathcore Course for STEM Professionals

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.

Principal Geologist at Provenance Geosciences and founder of Carbon Negative Water and Energy 501 (c) (3)
Dr. Hoaglund is a geologist with more than 35 years of experience in environmental research, teaching, and consulting in the private sector, government, and academia. He received his BS (1985) and MS (1987) degrees in geology from the University of Wisconsin, worked in research and consulting in Wichita, Kansas on projects related to ground water supply and contamination, then returned to academics in 1991, receiving his doctoral degree in geological sciences from Michigan State University in 1996. As part of his dissertation, he completed the US Geological Survey (USGS) Regional Aquifer Systems Analysis (RASA) groundwater model of the Michigan Basin, a model used to calculate modern and Pleistocene groundwater and brine discharge to the Great Lakes and rivers in Michigan. He taught hydrogeology, groundwater modeling, environmental geology, and glacial / climate geology at the University of Michigan before joining the Pennsylvania State University research on regional climate-hydrologic models, sponsored by the National Science Foundation, and groundwater nitrate studies, funded by the US Department of Agriculture. In 2007, Dr. Hoaglund resumed groundwater consulting, focusing primarily on sites involving perchlorate groundwater contamination in southern California. While reviewing the reactions involved in the manufacture of perchlorate, he recognized the potential for the electrolysis reaction to consume salt waste while producing hydrogen. Later, reviewing DOW documents describing the reasons and methods for the air-tight conditions required for the storage of sodium hydroxide byproducts, he recognized the potential for the aeration reaction to sequester carbon into bicarbonate. Dr. Hoaglund founded Carbon Negative Water Solutions, LLC in 2010 to pursue the trifecta of desalination, water resource development, hydrogen production, and CO2 sequestration. In addition to continued groundwater consulting, he wrote extensively about the potential for coupling ocean desalination with carbon sequestration, and approached several water and energy companies with the idea to promote mutually beneficial cooperation. He discovered these companies operate in separate universes on projects that are planned over a decade or more, and are reluctant to adopt new technologies over the established and state-approved method for greenhouse gas (GHG) mitigation: offsetting. In 2015, Dr. Hoaglund relocated to Las Vegas to accept contract work with Navarro Research and Engineering for the Department of Energy, assisting with groundwater characterization and modeling of the Nevada National Security Site (formerly Nevada Test Site), work related to the legacy groundwater contamination associated with historic nuclear testing. In 2019 he transitioned the Carbon Negative Water Solutions LLC to the non-profit Carbon Negative Water and Energy. In addition to the non-profit, he maintains a private research consulting and e-learning service, Provenance Geosciences.