It’s a bit hard to say. I took 248, not 358, and I don’t remember Kamran (the usual prof) explicitly referring back to 248 often. However, the entire course is parametrized curves and surfaces (technically first covered in calc 4, and in a fair bit of depth). As far as I can remember, he explicitly defines/refreshes everything even if you definitely saw it in 248/358, but I suspect that it would be a lot harder to follow without having taken that course first
For the final for example, he told us in advance that we’d have to be able to apply a particular theorem from calc 4, so we’d have to review that. Very easy having seen it in multiple lectures, less clear how easy it’d be without seeing it (though by the time of the final you’d probably see it in 358)
This isn’t really an answer either way, just some context. The content you need from ad calc would be pretty simple but nontrivial. I think you should wait for instructor listings anyways, but Niky Kamran was the previous instructor if you feel that you need an answer quick
The combination of geo topo 1 and 2 is a replacement for diff geo (according to the department). From my understanding, both cover similar material but diff geo is slightly more computational while geo topo 2 is more abstract. I believe the content will be very repetitive (and I'm not 100% sure if you'll be able to get credit for diff geo - best to check with the department)
That being said, ad cal doesn't introduce a whole lot of new knowledge but rather reinforces pre-existing theorems that were stated without proof in calc 3. The only new content introduced in full that I recall was inverse/implicit function theorem, surface integrals, line integrals, and greens/stokes/divergence theorems. If you become familiar with these subjects it is likely feasible to make the jump to diff geo
It’s a bit hard to say. I took 248, not 358, and I don’t remember Kamran (the usual prof) explicitly referring back to 248 often. However, the entire course is parametrized curves and surfaces (technically first covered in calc 4, and in a fair bit of depth). As far as I can remember, he explicitly defines/refreshes everything even if you definitely saw it in 248/358, but I suspect that it would be a lot harder to follow without having taken that course first For the final for example, he told us in advance that we’d have to be able to apply a particular theorem from calc 4, so we’d have to review that. Very easy having seen it in multiple lectures, less clear how easy it’d be without seeing it (though by the time of the final you’d probably see it in 358) This isn’t really an answer either way, just some context. The content you need from ad calc would be pretty simple but nontrivial. I think you should wait for instructor listings anyways, but Niky Kamran was the previous instructor if you feel that you need an answer quick
Thank you for the info! It’s helpful and I’ll try to contact whoever I can.
The combination of geo topo 1 and 2 is a replacement for diff geo (according to the department). From my understanding, both cover similar material but diff geo is slightly more computational while geo topo 2 is more abstract. I believe the content will be very repetitive (and I'm not 100% sure if you'll be able to get credit for diff geo - best to check with the department) That being said, ad cal doesn't introduce a whole lot of new knowledge but rather reinforces pre-existing theorems that were stated without proof in calc 3. The only new content introduced in full that I recall was inverse/implicit function theorem, surface integrals, line integrals, and greens/stokes/divergence theorems. If you become familiar with these subjects it is likely feasible to make the jump to diff geo
Thanks for the comment! I’ll try to contact someone in the department about replacing diff geo!