My primary goal as a teacher is to instill into my students an appreciation and sense of wonder for the physical world, whether it be in a sophisticated laboratory or in everyday life. These elements have motivated my lifelong study of physics, and I believe that even for the most seemingly disinterested students there are ways to make physics personal and relevant. Accordingly, I feel that the biggest challenges are not in teaching advanced courses but in entry level courses, especially th... [more]
I have had decades of experience learning, applying and teaching Algebra I and II throughout my studies and professional work.
Very experienced tutoring calculus at every collegiate level. Professional R&D scientist who uses calculus and its principles nearly every day in "real world" settings, as well.
PhD in physics, R&D biophysics career, extensive tutoring and teaching up to and including the graduate school (MS and PhD level).
I studied a year of differential equations formally in college, and have many, many years of practical experience in solving and analyzing differential equations in my study of physics, including numerical solutions for those diff eq's that can't be solved analytically. I regularly solve systems of linear differential equations in my data analysis models for my physics research work. Indeed, the solution of differential equations form the foundation of physics, especially at the advanced undergrad and graduate level.
In college, I took a year of formal linear algebra in a class called "Vectors and Matrices". In my years of studying physics especially quantum mechanics - I used linear algebra extensively ... all of QM is based on determining the eigenstates, eigenvalues, and eigenvectors of a physical situation w/ Schroedinger's wave eq, etc. Likewise, in my many years of studying physics and practicing physics research professionally, I have used linear algebra to build data analysis models (e.g., determining rate constants of a complicated chemical reaction, etc.).