Since campus has closed and UMN has suspended in-person instruction, we are now doing everything online. Here are the relevant links:
Click on notes to view the PDF in Google Drive
Note: There is an error in my notes on Thm. 1.6 in section 4.1. It should say "if integral from a to infinity g(x)dx converges then so does integral from a to infinity f(x)dx" and "if integral from a to infinity f(x)dx diverges then so does integral from a to infinity g(x)dx."
I apologize for the lack of video on this section. I forgot to hit "record" on Zoom.
^^^^^^**Final Review**^^^^^^
Note: I drew ln(x) instead of e^x. Don't judge me.
Also, to properly motivate using Taylor Series to approximate, imagine that instead of just trying to estimate e, we were trying to estimate e^x for various x in [0,1]. This is a thing that engineers, scientists, etc. may need to do. Then finding the error once and evaluating the polynomial would be easier than calculating each e^x.
This recitation section will be a mixture of me talking through examples and important points at the board and you doing worksheets with your classmates. Attendance is not required, although you need to come on Tuesdays to turn in homework.
None, due to the Coronavirus Pandemic. Email me to set up a videochat.
My office is Vincent 555. My typical office hours will be as follows, however I will be out of town for several weeks, so please notes the changes below. While I will be cancelling some of my office hours, I have added some to make up for that.
Week of 3/2-3/6
Week of 1/19-1/24
Week of 1/27-1/31
Week of 2/3-2/7
Week of 2/10-2/14
Week of 2/17-2/21
Each Tuesday, I will collect homework at the beginning of class. This is worth 20% of your course grade. I will grade two problems off of each homework.
There will be 13 homework assignments throughout the semester. I will drop your three lowest scores, so your total recitation grade will be out of 200.
When writing a proof, you should state your claim in a full sentence. Your proof should consist of well-organized full sentences, with references to the definitions and theorems you're using. Calculations should be clear and in the context of a sentence. For example, you could write, "We can see that 1+1=2, so by Cecily's Theorem, 1+1 is even." At the end of your proof, you should state your conclusion.
For problems that don't need a proof, you should still organize your work clearly, and justify why you can take certain steps if they're not 100% obvious. It never hurts to write full sentences in with your work.