I published a book: Mathematical Problem Factories: Almost Endless Problem Generation. Here is the synopsis: A problem factory consists of a traditional mathematical analysis of a type of problem that describes many, ideally all, ways that the problems of that type can be cast in a fashion that allows teachers or parents to generate problems for enrichment exercises, tests, and classwork. Some problem factories are easier than others for a teacher or parent to apply, so we also include banks of example problems for users. This text goes through the definition of a problem factory in detail and works through many examples of problem factories. It gives banks of questions generated using each of the examples of problem factories, both the easy ones and the hard ones. This text looks at sequence extension problems (what number comes next?), basic analytic geometry, problems on whole numbers, diagrammatic representations of systems of equations, domino tiling puzzles, and puzzles based on combinatorial graphs. The final chapter previews other possible problem factories.

If you'd like to discuss the book or any of the content, please don't hesitate to reach out.

If you are a mathematics major, here is a list of free textbooks for many of the required courses you'll take:
American Institute of Mathematics Approved Textbooks

If you are in the life sciences, this is a great free textbook
Differential Calculus for the Life Sciences

A friend of mine wrote a blog called Occupy Math, and in it he wrote a series of posts called the Islands of Mathematics. It has some fairly simple descriptions of what each part of mathematics is like. If you are a mathematics major or just an interested person, I really recommend you check them out!

All of the courses I teach have related eClass websites.

Teaching Fall 2022