It is open without appointment to anyone who wants to come ask a question. Landing in the middle of that pack is an accomplishment, and I have decided to be proud of it. Another geometric optimization problem asked students to construct a solid shaped like a cone on top of a cylinder to optimize some quantity, and the optimum was the degenerate case where the cone had height zero! Partly, I think this is important for maintaining student motivation. You can see the exams here: Next time, I should make sure that they spend a lot more time interacting outside their teams from the start of class.
I have just one item to add to your lists: How many of those competitors come back the next year? The exams, especially the last two, were almost all challenging conceptual problems. Some subset of those people will also have the personality and drive to be teachers. Over and over, I saw students who really committed to their teams get great benefits out of it.
You can see the exams here: The mathlab is like a live-action version of math. Next time, I should make sure that they spend a lot more time interacting outside their teams from the start of class. But I hope that many politicians would see the point. Umicj now, jmich are much cheaper than professors. If the department saved money by getting rid of me and using lecturers or, given the constraints of tenure, by not replacing the next mathematician who retiresthat money would not go to the department budget; it would go to some other department or to a decrease in our rate of tuition increase.
Moreover, while the course coordinators are highly experienced professionals, almost all of the day-to-day instruction is done by a small army of grad students and postdocs; I was one of the very few tenured or tenure track people teaching calculus this term. I think we should give him a question on the exam where he can display this mastery.
I just finished teaching two sections of first semester calculus at the University of Michigan. Also, I think that it is worth being able to detect the difference between the student I describe here, and one who has not even homewor those skills.
Some thoughts on teaching Michigan calculus | Secret Blogging Seminar
Because, if I were a student in this class, I would have highly resented being forced to work with students not at my level. It worked better than I expected, but I still have some concerns. What was difficult about this was that it made grading very difficult to predict.
When I teach umih class again, I will make a similar deal. The intended focus of the twam is on how to set up the correct integral in the first place.
The exams, especially the last two, were almost all challenging conceptual problems. Over and over, I saw students who really committed to their teams get great benefits out of it. People who teach introductory classes generally do better at teaching advanced classes.
Math Section Page
Before answering, I want to point out that university departments are not idealized firms, who aim to produce a service as efficiently as possible. Every time matn copied an expression from one part of the page to another, there is a high probability that a plus sign will change to a minus.
Inexperienced teachers often do best with advanced material, or at least advanced students— contexts where something has filtered out the biggest teaching challenges and the students resemble less-trained versions of the instructor. So why the misgivings? The coordinators also held weekly meetings to brief us on where the course was going.
I also wrote and graded weekly quizzes, and graded the team homework assignments. I feel that the former was achieved fairly well in practice, though I have some complaints, but the latter was not.
I highly encourage you to work hard on your team homework, and to talk in depth with your teammates about the problems. A word to any of my students who find this post.
Some thoughts on teaching Michigan calculus
I pointed out tea, when numerically differentiating a signal, if you take your time points too close together, the noise will overwhelm the derivative. The course coordinators were really hardworking and insightful people. My students seemed to really get excited when I brought in data about a subject which interested them. The applied and conceptual focus of the class Calculus at Michigan focuses very heavily on working with data and on understanding what computation to do, rather than how to do it.
Organization I was assigned two sections of 32 students each, which dwindled to 30 each over the course of the term. Our non-teaching activities are increasingly public: Feel free to read, and feel free to call me David rather than Professor Speyer.
There are a lot of problems in the webhomework mainly sections 5.