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Lecture Notes
Professor Xingde Jia, Texas State University

These are some of the lecture notes that I wrote when I taught the corresponding classes at Texas State University over the years. I did put in some effort at the time when I wrote them. However, I did not come back to the notes to improve them nor did I make corrections. Please be reminded that there are typos and errors in the notes. You are welcome to use these notes in classrooms as they fit. Please drop me a line if you do use it as a reference. Of course, your comments and suggestions are most welcome. My email is jia@txstate.edu. Thank you for visiting. —xdj


Elementary Number Theory Download PDF file

This set of lecture notes was written when I taught a graduate course on elementary number theory at Texas State University in the summer of 1997, which is a one semester introductory course. Because of the tight time schedule, I did not finish what I had planed to have in the notes. I hope I can finish them next time when I teach the course again. The lecture notes are also suitable for a undergraduate number theory course with appropriate selection of topics.


Applied Discrete Mathematics Last Update: August 31, 2006

There are two one-semester courses in discrete mathematics for Computer Science undergraduate majors at Texas State University. We also have a one-semester course in discrete mathematics at the graduate level, which is more or less the combination of the two undergraduate courses. Because of my research area, I have been teaching these courses many times. Over the years, I cumulated a lot of lecture notes on the subject. Professor Diana Gu is a graph theorist in the Department, who also taught these courses many times, and she also had piles of lecture notes. Here are some of them.

  • Logic Theory
  • Sets, Relations and Functions
  • Representations of Real Numbers Using different Bases
  • Introduction to Boolean Algebra
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