u/AstuteCouch87

https://preview.redd.it/vv806sseweug1.png?width=586&format=png&auto=webp&s=2afd27da2b8e539b25ab415a89e314824ad99a44

How would I change this to the order dydxdz? I have been using Professor Leonard's method for solving similar problems, but I can't seem to figure it out for this problem. My main issue is that y is defined by more than two functions here, and the projection onto the xz plane does not make the outer two bounds immediately obvious, unlike every example in Professor Leonard's video. I have seen other people using inequalities to manipulate the bounds, but I have never been able to understand that method. Professor Leonard's method makes sense to me for some problems, but not all. I can try to explain his method in the comments if necessary.

https://preview.redd.it/wjo8rviaveug1.png?width=586&format=png&auto=webp&s=cd10736680a5c5cf5405c122108b087f721df53d

How would I change this to the order dydxdz? I have been using Professor Leonard's method for solving similar problems, but I can't seem to figure it out for this problem. My main issue is that y is defined by more than two functions here, and the projection onto the xz plane does not make the outer two bounds immediately obvious, unlike every example in Professor Leonard's video. I have seen other people using inequalities to manipulate the bounds, but I have never been able to understand that method. Professor Leonard's method makes sense to me for some problems, but not all. I can try to explain his method in the comments if necessary.

I’m taking vector calc right now, and my professor so far has been teaching by displaying a powerpoint that is all text/equations and reading almost word-for-word off of it. There are no images or anything else to accompany these lectures. He recommends following along with the textbook pulled up, which helps somewhat, but still isn’t ideal. However, he recently emailed the entire class basically admitting that this format is not great, apologizing for it, and saying that there is nothing else he can do. That last part didn’t make sense to me until I heard about the new law that is going into effect. I’m wondering, however, if I could suggest that he hand write notes live in class, and then just not post them to Canvas later. Is this not allowed under the new law? Would it be rude to suggest this to him?

I'm in his class rn, and he seems nice enough, but his lectures just are not helpful for me. I've been reading his slides ahead of time, looking through the book before and after lecture, and yet I still don't feel like I've learned anything from his actual lectures, since he goes through them so fast and just reads off his slides almost word for word. I've just been using Professor Leonard videos on YT to learn everything (which admittedly has been very helpful and seems like it's working based off HW problems), but I'm just wondering if anyone else has struggled with McGovern's teaching style, and how they overcame it? Thanks.

I just started learning this in my calc class, and I am able to do most problems when using inequalities, yet I sometimes struggle doing this when using the traces of the region. Generally, I get the outer two bounds right, but the inner one I usually mess up when doing it this way. I’ll try to find some concrete examples in a bit when I’m able, but I’m just posting this now before I forget. Does anyone have any tips beyond just practicing?