For twenty-five years, I regularly taught undergraduate advanced calculus MATH 460 (real analysis) at the University of Nebraska at Kearney. The class members were mathematics and mathematics education majors, and occasionally a science major. I would say that my class was traditional. By that, I mean that it wasn't inquiry based or historically based. This depository contains class notes, homework, and other resources that I used for this class in the fall 2023 term.
Some of the handouts were refined over many years, others were new. So the quality of the class notes might vary; however, public humiliation is a great motivator for me, and once I started putting class materials on GitHub instead of squirreling them away on Canvas, I took more time proofreading my work. If you find errors or have suggestions, please put a message on the discussion board.
For many years, I used the textbook An introduction to analysis, 2nd edition, by James Kirkwood, but generally, I invented my own problem sets and I did not assign problems from the textbook. Although I retired from UNK in August 2024, from time-to-time, I will work on extending my solutions to homework sets and tidying my class notes. If you all find these notes useful, send me a note and maybe it will motivate me to make further improvements.
Since I last taught this class in fall 2023, the ability of generative AI systems to solve analysis homework (and typeset the work in LaTeX) has greatly increased. I will leave it to my junior colleagues to find ways to navigate the use of AI in analysis classes.
Shield:
This work is licensed under a Creative Commons Attribution 4.0 International License.
