Zoom Office Hours: Mondays 10:00-11:00, Tuesdays 4:00-5:00. Room ID
844 730 1415; password to be shared privately.
In-person Office Hours: Thursdays 9:30-10:30.
In person office hours will be held outdoors, in front of LeConte on the west side of this building, near this tree. Please wear a mask, practice social distancing, and don't come if you feel sick. If you just want to say hi or ask a quick question, no appointment is necessary. If you have a more detailed question, ask in advance and I will try to arrange for a a whiteboard.
In-person office hours will be moved to Zoom, in case of high Covid numbers or inclement weather.
Warning. You should expect 5-8 hours of homework a week in this class, which is more than most other instructors assign; in my experience there is no other way to learn the material. Your consistent effort will certainly lead to improved understanding, and it will almost certainly lead to you earning high grades.
This introductory textbook is a little bit old-fashioned, but it is delightful, it is fun to read, it is geared towards beginners, and unlike some other books you don't need to remortgage your house to buy it.
The first lecture will be on Blackboard Collaborate Ultra. Please show up ten minutes early, so we can all make sure the technology is working.
We might switch to Zoom or other technology as the semester progresses, depending on how the semester unfolds. We might also try out some experimental formats -- for example, where we establish an audio connection and then interact via Piazza.
Please wear a mask and practice social distancing.
The class will use the Piazza software as a medium for interaction. Join here. Piazza allows you to ask and answer questions, participate in polls, and discuss and collaborate. Please plan on using it actively.
Participation is an integral part of the course, and it is part of your grade. Please plan on active participation!
More details will be announced.
Here is a sample LaTeX source file, which compiles to this. To get started, download your choice of LaTeX software, and start off by compiling the .tex file. Make sure it matches the PDF linked above. Then, start editing the source, and see what happens.
To create your own file, it is recommended that you copy this .tex file, remove the content, and add your own content. Unless you want to change the look and feel, you don't need to change any of the stuff at the top.
To create presentations with LaTeX you can use Beamer. Here is a sample file, which produces this. The image files are here, here, and here. To recreate the presentation, download the TeX file and all the image files to the same directory, and then use whatever LaTeX compiler you were using for the paper.
There will not be a final exam.
Warning. I assign a lot of homework.
The homework is intended to take 5-8 hours a week. That is a lot. Please count on making a consistent effort to do well in this class! Starting the night before is a bad idea.
If homework takes you more than 10 hours on any given week, then that is more than I intended; please let me know.
There will be at least one bonus problem on each homework, each worth one or two points, up to a maximum score of 11/10 on each week's homework. This is the only way to earn extra credit; please note that bonus problems will not be accepted late.
Graduate credit: If you want graduate credit, you are required to do at least one bonus problem from each homework. Bonus problems on top of that count for extra credit.
Please note. You will be graded both on correctness and on quality of exposition. Indeed, a major focus of Math 580 is the ability to communicate mathematical ideas clearly. The standard is that someone who doesn't know the answer should be able to easily follow your work. In particular, please write in complete English sentences and draw clear diagrams where appropriate. Any work that is confusing, ambiguous, or poorly explained will not receive full credit.
Grading scale: You are guaranteed at least the following: A = 88+, B+ = 83+, B = 75+, C+ = 70+, C = 60+, D = 50+.
Please note that my grading scale is more generous than the usual 10-point scale. However, I am a (slightly) stricter grader than most. This is intended to balance out.
|  Grade component  ||  % of grade  |
|  Homework:  ||  40%  |
|  Two take-home midterm exams  ||  15% x 2  |
|  Participation  ||  15%  |
|  Final project:  ||  15%  |
In case of illness or emergency, please let me know immediately; alternative arrangements will be made. Beyond this, late homework will be accepted once per student, up to one week late, with no excuse needed.
Academic honesty and attendance are expected of all students.
Calculators will not be needed or allowed.
Important. If you have difficulty seeing the board or hearing the lectures, or a related problem, let me know ASAP, and I will do something about it. It is very important to me that everyone has the opportunity to succeed.
Homework 1, due Friday, September 4.
Homework 2, due Wednesday, September 16.
Homework 3, due Friday, September 25. Partial solutions to Homeworks 2 and 3.
Homework 4: Chapter 6: 3, 5, 7, 10, 11, 13; 14 for bonus.
Later homework assignments were posted via Piazza.
Here are partial solutions to Homeworks 4, 5, and 6.
Here was the first midterm, with solutions.