I love to teach. As an instructor, I set high standards, and then commit myself to serving you with whatever means necessary to help you meet those standards.
Calculus is about the very large, the very small, and how things change. The surprise is that something seemingly so abstract ends up explaining the real world. Calculus plays a starring role in the biological, physical, and social sciences. This online course is a first and friendly introduction to calculus, suitable for someone who has never seen the subject before, or for someone who has seen some calculus but wants to review the concepts and practice applying those concepts to solve problems.
These are the weekly problem sets for a combined linear algebra and differential equations course taught at Ohio State University.
Math 5801: General Topology and Knot Theory
In topology, we study geometric objects with an emphasis not so much on the size of things, but rather on those properties of spaces which are preserved under continuous deformations.
In this course in particular, we focus on:
- general topology or “point-set topology” which establishes the foundations of metric spaces and topological spaces and the so-called big C’s of continuity, convergence, connected- ness, compactness, countability; and
- knot theory which studies embeddings of circles in three-dimensional space through com- binatorial, geometric, and algebraic techniques and invariants.
This course is a fast-moving journey through point-set topology, suitable for someone who has had some experience with a proof-based math course and is ready to dive into some naïve set theory today.