What was difficult about this was that it made grading very difficult to predict. First of all, a note to any students in Michigan calculus. Now, I think pure mathematical research is a crucial investment in the future of our society. I felt guilty and awkward about it. I missed this over and over.

Then select the sets you want to get scores for and click the Score selected sets button. To find out more, including how to control cookies, see here: Feel free to read, and feel free to call me David rather than Professor Speyer. The course coordinators were really hardworking and insightful people. Organization I was assigned two sections of 32 students each, which dwindled to 30 each over the course of the term. The course website including a secret section , was full of resources to help me plan my lessons. I have no problem with that, because I think the exams cover the right topics.

There are plenty of people who love math so much that they will continually learn and study new mathematics. So this advice really did turn out to work, despite my skepticism. When I teach this class again, I will make a similar deal.

Calculus at Michigan focuses very heavily on working with data and on understanding what computation to do, rather than how to do it. Most grad students are new to teaching and not initially as good as they become later.

Some subset of those people will also have the personality and drive to be teachers. I feel that the former was achieved fairly well in practice, though I have some complaints, but the latter was not.

To get a CSV file you can download and import into a spreadsheet e.

## UM Math 115 On-Line Homework S19

I jmich assigned two sections umixh 32 students each, which dwindled to 30 each over the course of the term. And I think that, to teach college math well, you need to be aware of a great deal of mathematics, well beyond the official level of your course.

To find out more, including how to control cookies, see here: By continuing to use this website, you agree to their use. I applaud Michigan for recognizing that it is worth paying full time staff to do this job, and finding ones who did it so well.

## Some thoughts on teaching Michigan calculus

Then select the sets you want to get scores for and click the Score selected sets button. I have no problem with that, because I think the exams cover the right topics.

I just finished teaching two sections of first semester calculus at the University of Michigan. I fondly recall an analysis 1 instructor who assumed that calculus 1 included a detailed treatment of proof by induction, a linear algebra instructor who assumed that calculus 2 was a differential equations class, and a differential geometry instructor who assumed that calculus 3 included a detailed treatment of the implicit and inverse function theorems.

Your username for the homework is your uniqname. Note that you will have to sort out the gateway proctors from the resulting list.

I had a lot of fun going to the mathlab. I did the day-to-day teaching 3 times a week, 80 minutes per meeting. Read the hints and tips for information about the homework. And, while skilled instructors with an excellent command of the mathematical field may be more common than skilled researchers, they are going to be rare as well.

In these situations, departments may only have enough professor lines to staff the upper level i.

I very much doubt you can visually perceive the difference between a straight line and two lines making an angle of with each other and this can make a substantial difference in an integral.

Once they started working together, their performance on quizzes and in class improved dramatically. 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.

# UMMath WebHW Instr Info

I think they could teach low level math courses as well as I do. I pointed out that, when numerically differentiating a signal, if you take your time points too close together, the noise will overwhelm the derivative. This paradox demonstrates the point very vividly. Consider a student who has learned the basic mechanical skills of numerically approximating a derivative from data, or of differentiating some complex expression.

But he also has mastered a nontrivial skill. Team homework My students were organized into groups of four who met weekly to work together on more tewm problems, which they wrote up as a group and received a single collective grade for.

I think we should give him a question on the exam where he can display this mastery.

The athletes really got a kick out of table 1 from this papershowing how world class runners accelerate second by second; a lot of students enjoyed figuring out how long a runway a Ford Mustang needs to accelerate to mph using the data here. Do you have any thoughts on what benefits your students might have had from having you teach the class rather than a proficient graduate student?