I have taught as an instructor of record in the Department of Mathematics at the University of North Carolina at Chapel Hill, across a range spanning pre-calculus through differential equations and mathematics for data science. My teaching emphasizes building physical and geometric intuition alongside analytical technique, so that students can recognize where the mathematics they are learning actually appears in the world.
Ordinary differential equations at different orders, linear system of equations. Solutions methods are studied with emphasis on physical systems — mechanical oscillators, population dynamics, and mixing.
Syllabus (PDF)The fundamental concepts of linear algebra, multivariable calculus, and statistical methods that underpin modern data analysis.
Syllabus (PDF)Functions, graphs, and the algebraic and trigonometric groundwork that calculus is built on.
Syllabus (PDF)Differentiation and integration developed through graphical and applied reasoning rather than formal proof. Intended for students who need calculus as a working tool in the life, social, and management sciences.
Syllabus (PDF)