Some users may find it helpful to have directions on how to navigate in this web site. The home page is the main nexus providing links to the sections into which the web site is divided. Wherever you see my name, it is a link back to the home page. The two largest sections in the web site are the Courses and Discussions.
The Courses web site contains material for all the courses I have taught since I developed my web site in 1997. There is a web site for each course. Each web site contains a home page with links enabling the user to get to the other web pages in the site. A course web site typically contains a current or most recent syllabus for the course, homework assignments for the current or most recent course, and sample tests. In the sample tests, the problem numbers will often be links to worked solutions to the problems. In the worked solutions, the problem number will be a link back to the test. This is also true for the projects in Math 100, Geometry, and the group work in Math 300, Math for Elementary Teachers.
Some of the discussions are fairly lengthy papers. In such a discussion, in order to cut down on the size of individual web pages, the material is broken up into sections. Each section has its own web site. The home page for each section contains the statements of all the theorems in the section. In addition to the home page, each section has a page of definitions of terms which are introduced in the section and proofs of the theorems in the section. The theorem numbers in the home page are links to the proofs of the theorems. Each proof begins with a statement of the theorem, and the theorem numbers in the statement of the proofs are links back to the statement of the theorem in the home page for the section. At the end of each proof, there is a link to the proof of the next theorem in order to provide the user with additional navigational possibilities.
Web publishing provides some unique opportunities for presentation of Mathematical material. Whenever a word appears in a proof which has a definition, there is a link to the definition. Whenever there is a reference to a previous theorem, there is a link to the proof of that theorem.
The challenges of producing mathematical symbols on web pages has been solved by presenting some of the more challenging formulas as graphics, specifically gifs. If your browser is set to use a 12 point New York font, the interface between text and graphics will be much more seamless. Since, at the current level of technology, italics do not come out well on web pages, I have abandoned the common practice of italicizing variables in mathematical formulas
The same background is used for all the pages in this web site. It is done primarily so that a surfer will be able to tell whether they are on this web site or have surfed to somewhere else. It is hopefully unobtrusive yet distinctive - mathematical yet cheerful.