This course develops a mathematical foundation to succeed in graduate level courses in classical mechanics, electrodynamics, thermodynamics/statistical physics, modern physics, and quantum physics. It encompasses algorithmic skills but aims higher to develop the ability to relate mathematics and phenomena and to analyze solutions for limitations and prediction of behavior. Prerequisites: a bachelor's degree with a Physics major or must be state certified (in any state) to teach Physics at a secondary school level. Undergraduate coursework must include calculus (through multivariate) and ordinary differential equations. Note: This course is designed for those seeking the credentials required by many regional accrediting bodies in order to be able to teach advanced placement, concurrent early college, and community college Physics courses.