The following are a list of classes that are being taught either directly in the iSciMath Program or under the influence of the iSciMath perspective.
Spring 2021 - Mathematics 589, Linear and Nonlinear Analysis (with a view to use) in which we ended up focusing mostly on Degree Theory.
Spring 2022 - Mathematics 589, Geometric Analysis with a View to Use This was a broad introduction to linear and nonlinear analysis and was attended by 4 faculty members in addition to students from Physics, Computer Science, Economics and Mathematics (graduate and undergraduate).
Spring 2023 - Mathematics 583 Learning From Images and Signals, taught in collaboration with Michael Forbes. This was a wide ranging theoretical and computational exploration of many topics in these areas.
Spring 2024 - Mathematics 583, Analysis of and on Rough Sets, taught in collaboration with Michael Forbes, introducing students to the techniques and insights circulating around rectifiable sets and measures in Euclidean space, as well as fractals in Euclidean space.
Fall 2024 - The Art of Estimation I will be involved at some level in MIchael Forbes Fall 2024 class aimed at teaching students the art of back of the envelope calculations, the ability to quickly estimate things and adjust problem solving modes to generate answers in the time given and to the accuracy actually needed.
2024-2025 - (Tentative) Differential Topology and Geometry I am hoping to teach a 2 semester sequence on differential geometry and topology, and will make the class accessible to serious students from Physics, Engineering, and Economics. There will be a theory focused thread and another that is focused on learning the lingo and intuitions as well as gaining facility with computations that are based in these ideas.
Ongoing - Mathematics 401-402, I often teach these classes and use my own book to do that. While this is a senior level class that all the mathematics majors take at least one semester of, the preparation for the class is so varied (from those that seem to have forgotten even basic calculus to those that are operating already at the graduate level in terms of maturity and perspective and willingness to work deeply), the class is appropriate for those from any STEM area. I use my own book, but also recommend Lindstrom’s Spaces, Flemings’ Functions of Several Variables and Simmon’s "Introduction to Topology and Modern Analysis. I also sometimes recommend Burn’s Numbers and Functions for an excellent warmup text.
Ongoing - Mathematics 592, the New WSU Analysis Seminar, I lead this every semester. Here is a link to the page for the Seminar.
